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    Chapter 6.3 · Report

    Precincts within counties

    In 2024, 65.0% of two-party presidential votes in the sample were cast in precincts decided by 20 points or more, against 57.2% in counties decided by that margin.

    Every estimate of the chapter with its interval and every figure as a table, generated from the chapter's data files. Table n of this report is figure n of the chapter. The same report as Markdown: report.md.

    Identification

    Title
    Precincts within counties
    Chapter
    6.3 (Part VI, Election results at different scales; Votes, giving and places)
    Question
    How much do precinct margins vary inside a county, and which counties vary most?
    Dek
    In 2024, 65.0% of two-party presidential votes in the sample were cast in precincts decided by 20 points or more, against 57.2% in counties decided by that margin.
    Grain
    places
    Status
    draft
    Published
    Updated
    not revised
    Data sources
    • Precinct presidential returns. MIT Election Data and Science Lab, 2024 presidential returns by precinct (Harvard Dataverse), two-party votes per reporting unit; years: 2016, 2020, 2024; weights: none (full counts); statistics weighted by two-party votes
    • County election returns. Certified 2024 county totals from the repaired county file, used to check each county's precinct rows; years: President 1868-2024 (40 elections); House and Senate 1990-2024; weights: none (full counts)
    • County demographics panel. County panel: ACS 2024 nonwhite share, rural share and Rural-Urban Continuum Code 2023; years: 2000-2024 (election years, interpolated between census and survey anchors); weights: none (county values; counties weighted by two-party votes in the correlations)
    Canonical URL
    https://vishalsingh.org/politics/precincts-within-counties
    Markdown
    https://vishalsingh.org/politics/precincts-within-counties/report.md
    BibTeX
    @misc{singh2026precinctswithincounties,
      author = {Singh, Vishal},
      title = {Precincts within counties},
      year = {2026},
      url = {https://vishalsingh.org/politics/precincts-within-counties},
      note = {In The Public Mind. Published 30 September 2026.}
    }

    Principal estimates

    The facts the dek and the opening prose cite, in order of appearance. Every fact is in the table of all estimates below.

    EstimandPopulationPeriodValueIntervalnWeightsSourceFact id
    share of votes cast in precincts in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election65.0%none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnsshare_land_precinct
    definitiondefinition used in this chapter2024 presidential general election20none (definition)Precinct presidential returnscut_land
    share of votes cast in counties in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election57.2%none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnsshare_land_county
    sum of Democratic and Republican votestwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election149.0 millionnone (full counts)Precinct presidential returnsvotes_sample
    share of votes cast in precincts in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election18.5%none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnsshare_comp_precinct
    definitiondefinition used in this chapter2024 presidential general election10none (definition)Precinct presidential returnscut_comp
    share of votes cast in counties in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election23.1%none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnsshare_comp_county
    mean of county spreads weighted by two-party votescounties in the analysis sample with at least 5 reporting units2024 presidential general election23.395% CI 22.5 to 24.12,853none (full counts); counties weighted by their two-party votesPrecinct presidential returnssd_vw_mean
    definitiondefinition used in this chapter2024 presidential general election5none (definition)Precinct presidential returnscut_near
    definitiondefinition used in this chapter2024 presidential general election20none (definition)Precinct presidential returnscut_near_units
    definitiondefinition used in this chapter2024 presidential general election60%none (definition)Precinct presidential returnsland_equiv
    definitiondefinition used in this chapter2024 presidential general election55%none (definition)Precinct presidential returnscomp_equiv
    definitiondefinition used in this chapter2024 presidential general election30none (definition)Precinct presidential returnscut_sd
    definitiondefinition used in this chapter2024 presidential general election15none (definition)Precinct presidential returnssd_equiv
    two-party margin, Democratic positiveBucks County, PA2024 presidential general election−0.1none (full counts)Precinct presidential returnsbucks_margin
    countBucks County, PA2024 presidential general election304none (full counts)Precinct presidential returnsbucks_units
    vote-weighted standard deviation of precinct marginsBucks County, PA2024 presidential general election14.8304none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnsbucks_sd
    share of votes cast in precincts decided by under 10 pointsBucks County, PA2024 presidential general election50.0%none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnsbucks_comp
    margin of the most Democratic precinctBucks County, PA2024 presidential general election42.0none (full counts)Precinct presidential returnsbucks_max_d
    margin of the most Republican precinct, as a Republican leadBucks County, PA2024 presidential general election33.7none (full counts)Precinct presidential returnsbucks_max_r
    two-party margin, Democratic positiveCentre County, PA2024 presidential general election+2.9none (full counts)Precinct presidential returnscentre_margin
    countCentre County, PA2024 presidential general election87none (full counts)Precinct presidential returnscentre_units
    vote-weighted standard deviation of precinct marginsCentre County, PA2024 presidential general election36.387none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnscentre_sd
    share of votes cast in precincts decided by under 10 pointsCentre County, PA2024 presidential general election5.5%none (full counts); precinct results weighted by their two-party votesPrecinct presidential returnscentre_comp
    margin of the most Democratic precinctCentre County, PA2024 presidential general election65.0none (full counts)Precinct presidential returnscentre_max_d
    margin of the most Republican precinct, as a Republican leadCentre County, PA2024 presidential general election75.2none (full counts)Precinct presidential returnscentre_max_r
    countreporting units (precincts) in the analysis sample2024 presidential general election175,345none (full counts)Precinct presidential returnsn_units
    countcounties in the analysis sample2024 presidential general election3,043none (full counts)Precinct presidential returnsn_counties
    countstates in the analysis sample, not counting the District of Columbia2024 presidential general election48none (full counts)Precinct presidential returnsn_states
    countLouisiana parishes2024 presidential general election64none (full counts)Precinct presidential returnsn_out_la
    ratio of precinct votes to certified votesLouisiana parishes2024 presidential general election51.5%none (full counts)Precinct presidential returnsla_share
    countcounties outside Louisiana whose precinct rows do not add to the certified total2024 presidential general election6none (full counts)Precinct presidential returnsn_out_other
    countcounties whose precinct rows do not add to the certified total (Louisiana and others)2024 presidential general election70none (full counts)Precinct presidential returnsn_out_total
    shareall counties with returns2024 presidential general election2.0%none (full counts)County election returnsout_share_cert
    share of certified two-party votes cast in Alaskaall counties with returns2024 presidential general election0.2%none (full counts)County election returnsalaska_share_cert
    countcounties in the analysis sample2024 presidential general election190none (full counts)Precinct presidential returnsn_below_floor
    definitiondefinition used in this chapter2024 presidential general election5none (definition)Precinct presidential returnscut_floor_units
    countcounties in the analysis sample with at least 5 reporting units2024 presidential general election2,853none (full counts)Precinct presidential returnsn_counties_disp
    definitiondefinition used in this chapter2024 presidential general election2,000none (definition)Precinct presidential returnsn_boot

    Findings

    In 2024, 65.0%65.0% percent of two-party votesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns of the 149.0 million149.0 million two-party votesEstimandsum of Democratic and Republican votesWeightsnone (full counts)Populationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns two-party presidential votes in this chapter's sample were cast in precinctsPrecinctThe smallest area for which election officials report votes, usually the voters assigned to one polling place. Precinct boundaries change between elections, so the same precinct cannot be followed over time. decided by 2020 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called a landslide when its two-party margin is this large or larger. points or more, against 57.2%57.2% percent of two-party votesEstimandshare of votes cast in counties in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns cast in counties decided by that margin. At the other end, 18.5%18.5% percent of two-party votesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns of votes were cast in precincts decided by under 1010 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called close when its two-party margin is smaller than this. points, against 23.1%23.1% percent of two-party votesEstimandshare of votes cast in counties in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns in counties. A precinct here is a reporting unit, the area for which an election office reports its votes, and not a neighborhood.

    A county's margin is the average of its precinct margins weighted by their votes. This chapter measures how far the precinct margins vary around that average, and which counties vary most. The standard deviationStandard deviationA measure of how far values typically fall from their average. A larger standard deviation means the values are more spread out. of precinct margins inside a county, called its spread here, has a mean across counties of 23.3 (95% CI 22.5 to 24.1)23.3 points of two-party marginEstimandmean of county spreads weighted by two-party votesInterval95% CI 22.5 to 24.1n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points when each county counts in proportion to its votes. Spread is higher in metro counties and in counties that lean Democratic, and it varies widely among counties that finished near a tie, with a margin under 55 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county is near-tied when its two-party margin is smaller than this. points and at least 2020 precinctsEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA near-tied county needs at least this many precincts. precincts.

    A two-party marginCounty two-party marginThe Democratic vote minus the Republican vote, divided by the sum of the two, so a positive value is a Democratic lead. Votes for other candidates are left out. is the Democratic vote minus the Republican vote over their sum, in pointsPercentage pointThe unit for the difference between two percentages. A change from one share to another is stated in points, not in percent, so that absolute and relative change are not confused., and a positive margin is a Democratic lead. A margin of 2020 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called a landslide when its two-party margin is this large or larger. points gives the winner 60%60% percent of the two-party voteEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA margin of 20 points is a 60 to 40 split of the two-party vote. of the two-party vote, and a margin of 1010 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called close when its two-party margin is smaller than this. points gives the winner 55%55% percent of the two-party voteEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA margin of 10 points is a 55 to 45 split of the two-party vote.. The spread is weighted by each precinct's two-party votes and stated in the same points. A county that cast equal numbers of votes in precincts at Democratic +3030 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county spread of 30 points is called wide. and at Republican +3030 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county spread of 30 points is called wide. would have a margin of zero and a spread of 3030 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county spread of 30 points is called wide., which is 1515 points of Democratic vote shareEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA spread of 30 margin points is a spread of 15 points of the Democratic share of the two-party vote. points of Democratic vote share. Third-party votes are left out.

    Two Pennsylvania counties that finished nearly even show what spread measures. Table 1 gives the share of each county's votes by the margin of the precinct where they were cast. Bucks County finished at a margin of −0.1−0.1 points of two-party marginEstimandtwo-party margin, Democratic positiveWeightsnone (full counts)PopulationBucks County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns points, with 304304 precinctsEstimandcountWeightsnone (full counts)PopulationBucks County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns precincts and a spread of 14.814.8 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn304Weightsnone (full counts); precinct results weighted by their two-party votesPopulationBucks County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns, and 50.0%50.0% percent of the county's two-party votesEstimandshare of votes cast in precincts decided by under 10 pointsWeightsnone (full counts); precinct results weighted by their two-party votesPopulationBucks County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns of its votes were cast in precincts decided by under 1010 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called close when its two-party margin is smaller than this. points. Its most Democratic precinct had a margin of 42.042.0 points of two-party marginEstimandmargin of the most Democratic precinctWeightsnone (full counts)PopulationBucks County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns points and its most Republican a Trump lead of 33.733.7 points of two-party marginEstimandmargin of the most Republican precinct, as a Republican leadWeightsnone (full counts)PopulationBucks County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns. Centre County finished at +2.9+2.9 points of two-party marginEstimandtwo-party margin, Democratic positiveWeightsnone (full counts)PopulationCentre County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns with 8787 precinctsEstimandcountWeightsnone (full counts)PopulationCentre County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns precincts and a spread of 36.336.3 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn87Weightsnone (full counts); precinct results weighted by their two-party votesPopulationCentre County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns, and only 5.5%5.5% percent of the county's two-party votesEstimandshare of votes cast in precincts decided by under 10 pointsWeightsnone (full counts); precinct results weighted by their two-party votesPopulationCentre County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns of its votes were cast in precincts that close. The most Democratic precinct in Centre County had a margin of 65.065.0 points of two-party marginEstimandmargin of the most Democratic precinctWeightsnone (full counts)PopulationCentre County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns points and the most Republican a Trump lead of 75.275.2 points of two-party marginEstimandmargin of the most Republican precinct, as a Republican leadWeightsnone (full counts)PopulationCentre County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns. The Neighborhoods explorer will map these counties and others below the precinct level.

    How the gap between precincts and counties changes across scales, from states to blocks, is the subject of Planned, Sorting by geographic scale, 2016 to 2024 (planned), a planned chapter. This chapter asks what the precinct distribution looks like inside each county, which is the information that a county color leaves out. County-level maps supported the argument that Americans sort into like-minded places [1], a claim that others contested [2], and address-level data show that many voters live with almost no exposure to voters of the other party [3]. Precinct returns sit between the two scales.

    The sample covers 175,345175,345 reporting unitsEstimandcountWeightsnone (full counts)Populationreporting units (precincts) in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returns reporting units in 3,0433,043 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returns counties in 4848 statesEstimandcountWeightsnone (full counts)Populationstates in the analysis sample, not counting the District of ColumbiaPeriod2024 presidential general electionSourcePrecinct presidential returns states and the District of Columbia; Alaska and Louisiana are absent.The precinct file from the MIT Election Data and Science Lab reports votes by whatever unit each state or county election office uses, so a precinct here is a reporting unit and differs in size and kind by state. Alaska is left out because its 2024 county codes are election districts. So are the 6464 parishesEstimandcountWeightsnone (full counts)PopulationLouisiana parishesPeriod2024 presidential general electionSourcePrecinct presidential returns Louisiana parishes, where the precinct rows hold 51.5%51.5% percent of the certified two-party votesEstimandratio of precinct votes to certified votesWeightsnone (full counts)PopulationLouisiana parishesPeriod2024 presidential general electionSourcePrecinct presidential returns of the certified vote, and 66 countiesEstimandcountWeightsnone (full counts)Populationcounties outside Louisiana whose precinct rows do not add to the certified totalPeriod2024 presidential general electionSourcePrecinct presidential returns other counties whose precinct rows do not add to the certified county total. The 7070 countiesEstimandcountWeightsnone (full counts)Populationcounties whose precinct rows do not add to the certified total (Louisiana and others)Period2024 presidential general electionSourcePrecinct presidential returns excluded counties hold 2.0%2.0% percent of the certified two-party votesEstimandshareWeightsnone (full counts)Populationall counties with returnsPeriod2024 presidential general electionSourceCounty election returnsNoteThe 70 counties left out by the reconciliation rule; Alaska is a further share. of certified votes, and Alaska holds a further 0.2%0.2% percent of the certified two-party votesEstimandshare of certified two-party votes cast in AlaskaWeightsnone (full counts)Populationall counties with returnsPeriod2024 presidential general electionSourceCounty election returns. 190190 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with fewer than 5 reporting units have no spread estimate. counties in the sample have too few reporting units for a spread. A county needs at least 55 reporting unitsEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county needs at least this many reporting units for a spread estimate. reporting units to have a spread, which leaves 2,8532,853 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties. The returns are full counts, so shares and spreads carry no sampling error; a statistic across counties, such as a mean or a correlation, carries a 95% interval from resampling counties 2,0002,000 resamplesEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteNumber of county resamples behind each interval. times.

    Precincts are more lopsided than the counties that contain them

    Table 2 counts the same votes by the margin of the precinct they were cast in, by the margin of the county, and by the margin of a simulated precinct. Precincts hold more of the votes in landslides and fewer in close contests. Precincts decided by 4040 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called very lopsided when its two-party margin is this large or larger. points or more held 36.4%36.4% percent of two-party votesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns of votes, against 25.4%25.4% percent of two-party votesEstimandshare of votes cast in counties in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns for counties decided by that margin.

    Because each county margin is the average of its precinct margins weighted by their votes, precinct margins are at least as spread out as county margins, counting each vote once. That alone does not put more votes in landslide precincts, since a county decided by a landslide can split into precincts of which some are not. The simulation is a benchmark for how much of the gap chance alone would produce. In each of 200200 simulated assignmentsEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteNumber of simulated assignments of voters to precincts behind the random-assignment bars. runs, every precinct keeps its number of votes and its county's Democratic share, and its Democratic votes are drawn at random. The simulated precincts hold 56.6%56.6% percent of two-party votesEstimandmean over 200 simulated assignments of the share of votes in precincts in the band, when each precinct's Democratic votes are a binomial draw of its votes at its county's Democratic sharen200Weightsnone; simulation with unit sizes and county margins held fixed (seed 12345)Populationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns of votes in landslide precincts, 23.3%23.3% percent of two-party votesEstimandmean over 200 simulated assignments of the share of votes in precincts in the band, when each precinct's Democratic votes are a binomial draw of its votes at its county's Democratic sharen200Weightsnone; simulation with unit sizes and county margins held fixed (seed 12345)Populationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns in close ones and 25.0%25.0% percent of two-party votesEstimandmean over 200 simulated assignments of the share of votes in precincts in the band, when each precinct's Democratic votes are a binomial draw of its votes at its county's Democratic sharen200Weightsnone; simulation with unit sizes and county margins held fixed (seed 12345)Populationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns in very lopsided ones, within about 0.70.7 percentage points of votesEstimandlargest absolute difference across the three bands between the random-assignment share and the county shareWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns points of the county shares. Each share moves by at most 0.40.4 percentage points of votesEstimandlargest difference between the highest and lowest of the simulated shares, across the three bandsn200Weightsnone; simulation (seed 12345)Populationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns points from run to run. Small units alone therefore do not produce the gap between precincts and counties. Precinct margins inside a county vary more than random assignment of voters would make them.

    Random assignment still leaves some spread. If the voters of a county were assigned to its precincts at random, the spread would be 3.13.1 points of two-party marginEstimandmean of the spread expected if voters were assigned to precincts at random, weighted by votesn2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns points on average across counties, weighted by votes, and 3.43.4 points of two-party marginEstimandmedian of the spread expected if voters were assigned to precincts at randomn111Weightsnone (full counts); each county counted oncePopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns points in the median near-tied county.

    Spread is widest in Mississippi and Alabama

    Across the 2,8532,853 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties with at least 55 reporting unitsEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county needs at least this many reporting units for a spread estimate. reporting units, the median county, counted once, has a spread of 15.6 (95% CI 15.0 to 16.0)15.6 points of two-party marginEstimandmedian of county spreadsInterval95% CI 15.0 to 16.0n2,853Weightsnone (full counts); each county counted oncePopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points. That is lower than the vote-weighted mean because counties with more votes tend to have wider spreads, as the next sections show. A spread of 3030 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county spread of 30 points is called wide. points or more occurs in 368368 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties, which hold 18.7%18.7% percent of two-party votesEstimandshare of the votes of these counties cast in counties with a spread of 30 or moreWeightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns of the votes cast in the 2,8532,853 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties. Table 3 maps the spread, and its second view maps the county margin.

    The vote-weighted mean spread is 38.2 (95% CI 34.9 to 41.5)38.2 points of two-party marginEstimandmean of county spreads weighted by votesInterval95% CI 34.9 to 41.5n82Weightsnone (full counts); counties weighted by their two-party votesPopulationMississippi counties with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345), resampling the counties of the state. points in Mississippi and 32.2 (95% CI 25.2 to 38.3)32.2 points of two-party marginEstimandmean of county spreads weighted by votesInterval95% CI 25.2 to 38.3n67Weightsnone (full counts); counties weighted by their two-party votesPopulationAlabama counties with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345), resampling the counties of the state. in Alabama, the two highest of the 4848 statesEstimandcountWeightsnone (full counts)Populationstates in the analysis sample, not counting the District of ColumbiaPeriod2024 presidential general electionSourcePrecinct presidential returns states and the District of Columbia. The units that election offices report differ in size by state. The median precinct holds 227227 two-party votes per precinctEstimandmedian precinct sizen3,737Weightsnone (full counts)PopulationKansas precincts in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returns two-party votes in Kansas and 2,0832,083 two-party votes per precinctEstimandmedian precinct sizen756Weightsnone (full counts)PopulationConnecticut precincts in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returns in Connecticut, and California reports 578578 precincts per countyEstimandmean count of reporting units per countyWeightsnone (full counts)PopulationCalifornia counties in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returns precincts per county on average while North Dakota reports 77 precincts per countyEstimandmean count of reporting units per countyWeightsnone (full counts)PopulationNorth Dakota counties in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returns. Smaller units can show more spread, so a comparison of spread across states mixes the electorate with the way votes are counted. Counties with few reporting units also have spreads that one unit can move a long way. Of the 3333 countiesEstimandcount of counties with a spread of 50 points or moreWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties with a spread of 5050 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county is called one of the widest-spread counties when its spread is this many points or more. points or more, 44 countiesEstimandcount of those counties with fewer than 10 reporting unitsWeightsnone (full counts)Populationcounties in the analysis sample with a spread of 50 points or morePeriod2024 presidential general electionSourcePrecinct presidential returns have fewer than 1010 reporting unitsEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county with fewer reporting units than this is called small in the note on the map. reporting units. The state controls in Table 6 address part of that mix.

    Among the 318318 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties with at least 100,000100,000 two-party votesEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with at least this many two-party votes are called large. two-party votes, the widest spreads are in Kings County, New York (54.954.9 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn1,341Weightsnone (full counts); precinct results weighted by their two-party votesPopulationKings County, NY, 2024 (a county with at least 100,000 two-party votes)Period2024 presidential general electionSourcePrecinct presidential returns points), Jefferson County, Alabama (53.553.5 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn179Weightsnone (full counts); precinct results weighted by their two-party votesPopulationJefferson County, AL, 2024 (a county with at least 100,000 two-party votes)Period2024 presidential general electionSourcePrecinct presidential returns) and Mobile County, Alabama (50.250.2 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn82Weightsnone (full counts); precinct results weighted by their two-party votesPopulationMobile County, AL, 2024 (a county with at least 100,000 two-party votes)Period2024 presidential general electionSourcePrecinct presidential returns). The narrowest are in Arlington County, Virginia (6.56.5 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn55Weightsnone (full counts); precinct results weighted by their two-party votesPopulationArlington (a county with at least 100,000 two-party votes)Period2024 presidential general electionSourcePrecinct presidential returns) and the District of Columbia (5.95.9 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn144Weightsnone (full counts); precinct results weighted by their two-party votesPopulationDistrict of Columbia (a county with at least 100,000 two-party votes)Period2024 presidential general electionSourcePrecinct presidential returns), whose margins are +59.9+59.9 points of two-party marginEstimandtwo-party margin, Democratic positiveWeightsnone (full counts)PopulationArlington (a county with at least 100,000 two-party votes)Period2024 presidential general electionSourcePrecinct presidential returns and +86.6+86.6 points of two-party marginEstimandtwo-party margin, Democratic positiveWeightsnone (full counts)PopulationDistrict of Columbia (a county with at least 100,000 two-party votes)Period2024 presidential general electionSourcePrecinct presidential returns points.

    Spread falls from metro to less urban counties

    Table 4 groups counties by Rural-Urban Continuum CodeRural-Urban Continuum CodeA USDA scheme that sorts counties into nine classes, from large metropolitan areas to remote rural ones, by population size and nearness to a metropolitan area. The 2013 and 2023 editions classify some counties differently.. The vote-weighted mean spread falls from 24.8 (95% CI 23.5 to 26.1)24.8 points of two-party marginEstimandmean of county spreads weighted by two-party votesInterval95% CI 23.5 to 26.1n419Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units, metro area of 1 million or more (Rural-Urban Continuum Code 1, 2023)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points in the largest metro counties to 22.722.7 points of two-party marginEstimandmean of county spreads weighted by two-party votesInterval95% CI 21.9 to 23.5n690Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units, smaller metro area (Rural-Urban Continuum Code 2 to 3, 2023)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). in smaller metro counties, 19.419.4 points of two-party marginEstimandmean of county spreads weighted by two-party votesInterval95% CI 18.7 to 20.1n861Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units, nonmetro, larger towns (Rural-Urban Continuum Code 4 to 7, 2023)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). in the larger nonmetro counties and 15.5 (95% CI 14.6 to 16.5)15.5 points of two-party marginEstimandmean of county spreads weighted by two-party votesInterval95% CI 14.6 to 16.5n873Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units, nonmetro, smaller towns and open country (Rural-Urban Continuum Code 8 to 9, 2023)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). in the least urban ones. The two ends of the scale also differ in lean. The vote-weighted mean margin is +11.7 (95% CI 7.3 to 15.7)+11.7 points of two-party marginEstimandvote-weighted mean county marginInterval95% CI 7.3 to 15.7n419Weightsnone (full counts); counties weighted by their two-party votesPopulationmetro counties of 1 million or more in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points in the largest metro counties and −45.2 (95% CI −47.6 to −42.7)−45.2 points of two-party marginEstimandvote-weighted mean county marginInterval95% CI −47.6 to −42.7n873Weightsnone (full counts); counties weighted by their two-party votesPopulationthe least urban nonmetro counties in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). in the least urban, so the next section separates lean from size. The demographics panel has no code for 1010 countiesEstimandcount of counties with no Rural-Urban Continuum Code in the panelWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourceCounty demographics panelNoteThe Connecticut counties (the panel uses the 2022 planning regions), Kansas City, Missouri, and Oglala Lakota County, South Dakota. counties, which are left out of the bars: the Connecticut counties, Kansas City, Missouri, and Oglala Lakota County, South Dakota.

    Spread rises with Democratic lean, partly through county size

    Table 5 plots each county's spread against its margin. Weighted by votes, the correlationCorrelationA number from minus 1 to plus 1 for how closely two measures move together in a straight-line pattern. Zero means no straight-line pattern; a correlation does not say that one measure causes the other. is +0.41 (95% CI 0.33 to 0.49)+0.41 correlation coefficientEstimandcorrelation of county margin with county spreadInterval95% CI 0.33 to 0.49n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). across 2,8532,853 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties. The binned means rise from 6.7 (95% CI 5.2 to 8.0)6.7 points of two-party marginEstimandmean county spread weighted by votesInterval95% CI 5.2 to 8.0n40Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points in counties near Trump +8282 points of two-party marginEstimandvote-weighted mean county marginn40Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in that binPeriod2024 presidential general electionSourcePrecinct presidential returns to 25.4 (95% CI 23.4 to 27.5)25.4 points of two-party marginEstimandmean county spread weighted by votesInterval95% CI 23.4 to 27.5n201Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). in counties near Trump +1414 points of two-party marginEstimandvote-weighted mean county margin (Republican lead)n201Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in that binPeriod2024 presidential general electionSourcePrecinct presidential returns. The 66 binsEstimandcountWeightsnone (full counts)Populationbins whose intervals overlap the interval of the highest bin, counted back from it, other than the highest binPeriod2024 presidential general electionSourcePrecinct presidential returns bins from there to Harris +3434 points of two-party marginEstimandvote-weighted mean county margin (Democratic lead)n50Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in that binPeriod2024 presidential general electionSourcePrecinct presidential returns have means between 24.124.1 points of two-party marginEstimandsmallest binned mean among those binsWeightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)Period2024 presidential general electionSourcePrecinct presidential returns and 28.428.4 points of two-party marginEstimandlargest binned mean among those binsWeightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)Period2024 presidential general electionSourcePrecinct presidential returns. The highest bin, 31.1 (95% CI 24.7 to 36.8)31.1 points of two-party marginEstimandmean county spread weighted by votesInterval95% CI 24.7 to 36.8n34Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). near Harris +4343 points of two-party marginEstimandvote-weighted mean county marginn34Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in that binPeriod2024 presidential general electionSourcePrecinct presidential returns, has an interval that overlaps each of them. The interval for its difference from each of them includes zero, except for the lowest, near Trump +44 points of two-party marginEstimandvote-weighted mean county margin (Republican lead)n169Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in that binPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteThe one bin of the run, other than the highest bin, whose difference from the highest bin has a 95% interval that excludes zero., where the difference is 6.9 (95% CI 0.7 to 12.9)6.9 points of two-party marginEstimanddifference between the vote-weighted mean spreads of the highest bin and that binInterval95% CI 0.7 to 12.9n203Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the highest bin and in that binPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from resampling the counties of each bin separately (2,000 replicates, seed 12345). points. The data show a rise and then a plateau, with the highest bin distinguishable from only the lowest of the bins before it. The 1212 countiesEstimandcountWeightsnone (full counts)Populationcounties in that binPeriod2024 presidential general electionSourcePrecinct presidential returns counties near Harris +6666 points of two-party marginEstimandvote-weighted mean county marginn12Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in that binPeriod2024 presidential general electionSourcePrecinct presidential returns average 19.3 (95% CI 15.3 to 23.9)19.3 points of two-party marginEstimandmean county spread weighted by votesInterval95% CI 15.3 to 23.9n12Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)Period2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345)., which is 11.8 (95% CI 3.9 to 18.9)11.8 points of two-party marginEstimanddifference between the vote-weighted mean spreads of the two binsInterval95% CI 3.9 to 18.9n46Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the highest bin and in the bluest binPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from resampling the counties of each bin separately (2,000 replicates, seed 12345). points below the highest bin, and few counties are that blue.

    Bluer counties are also larger. The correlation of county margin with the log of two-party votes (the natural logarithm, so that each doubling of a county's votes adds the same amount) is +0.64 (95% CI 0.59 to 0.69)+0.64 correlation coefficientEstimandcorrelation of county margin with the log of two-party votesInterval95% CI 0.59 to 0.69n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345)., in line with the concentration of Democratic voters in dense places [4]. The correlation of spread with the log of votes is +0.40 (95% CI 0.33 to 0.46)+0.40 correlation coefficientEstimandcorrelation of county spread with the log of two-party votesInterval95% CI 0.33 to 0.46n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345).. Larger counties have more precincts, and with more precincts there is more room for very different ones. Table 6 holds fixed the log of a county's votes and the log of its number of precincts, and the correlation of lean with spread falls from +0.41+0.41 correlation coefficientEstimandcorrelation of county margin with county spreadInterval95% CI 0.33 to 0.49n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). to +0.21 (95% CI 0.12 to 0.30)+0.21 correlation coefficientEstimandcorrelation of county margin with county spread after removing linear effects of log votes and log precinctsInterval95% CI 0.12 to 0.30n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345).. It then adds state fixed effectsFixed effectsRegression terms that give each group, such as each country or each year, its own baseline. The other coefficients then compare respondents within the same group., which compare counties within the same state and so absorb each state's own precinct conventions, and the correlation is +0.28 (95% CI 0.19 to 0.37)+0.28 correlation coefficientEstimandcorrelation of county margin with county spread after removing the linear effects of log votes and log precincts and state meansInterval95% CI 0.19 to 0.37n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345).. With both controls, a county 1010 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteStep in county margin for the slope of spread on margin. points more Democratic has a spread 0.9 (95% CI 0.6 to 1.3)0.9 points of spread per 10 points of marginEstimandweighted least squares slope of county spread on county margin, times 10, with log votes, log precincts and state meansInterval95% CI 0.6 to 1.3n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points wider, against 1.1 (95% CI 0.8 to 1.4)1.1 points of spread per 10 points of marginEstimandweighted least squares slope of county spread on county margin, times 10Interval95% CI 0.8 to 1.4n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points without them. The correlation is also positive when each county counts once, so its sign does not depend on the vote weights.

    Two county characteristics measured outside the vote show a similar pattern. Across 2,8432,843 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting units and ACS measuresPeriod2024 presidential general electionSourceCounty demographics panel counties with demographic data, which leaves out the Connecticut counties, spread correlates +0.43 (95% CI 0.36 to 0.50)+0.43 correlation coefficientEstimandcorrelation of the nonwhite share (ACS 2024) with county spreadInterval95% CI 0.36 to 0.50n2,843Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units and ACS measuresPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). with the nonwhite share of residents (the share who are not non-Hispanic white, American Community Survey, 2024). It correlates −0.36 (95% CI −0.41 to −0.30)−0.36 correlation coefficientEstimandcorrelation of the rural share (2020 census urban area definition, county panel) with county spreadInterval95% CI −0.41 to −0.30n2,843Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units and ACS measuresPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). with the rural share (the share living outside urban areas as the 2020 Census defines them). With size and state held fixed the two are +0.31 (95% CI 0.22 to 0.40)+0.31 correlation coefficientEstimandcorrelation of the nonwhite share with county spread after size and state controlsInterval95% CI 0.22 to 0.40n2,843Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units and ACS measuresPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). and −0.13 (95% CI −0.19 to −0.08)−0.13 correlation coefficientEstimandcorrelation of the rural share with county spread after size and state controlsInterval95% CI −0.19 to −0.08n2,843Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units and ACS measuresPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345)., so the tie to the nonwhite share weakens less than the tie to the rural share does.

    Spread falls with distance from an even split

    Distance from an even split is the size of a county's margin, whichever party leads. One might expect the counties closest to a tie to be the most divided, because a near-tied county needs votes from precincts on both sides. Across all counties, the correlation of spread with distance from an even split is −0.29 (95% CI −0.39 to −0.20)−0.29 correlation coefficientEstimandcorrelation of the county margin's distance from zero with county spreadInterval95% CI −0.39 to −0.20n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). when weighted by votes, and it stays negative with size and state held fixed, at −0.19−0.19 correlation coefficientEstimandcorrelation of distance from an even split with county spread after removing sizeInterval95% CI −0.30 to −0.09n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). and −0.25−0.25 correlation coefficientEstimandcorrelation of distance from an even split with county spread after size and state controlsInterval95% CI −0.37 to −0.16n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345).. Counting each county once, it is −0.55 (95% CI −0.57 to −0.52)−0.55 correlation coefficientEstimandcorrelation of distance from an even split with county spread, each county counted onceInterval95% CI −0.57 to −0.52n2,853Weightsnone (full counts); each county counted oncePopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345).. Spread is lower in counties that are farther from an even split.

    Among the 1,7251,725 countiesEstimandcountWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting units and a margin of 50 points or lessPeriod2024 presidential general electionSourcePrecinct presidential returns counties with a margin of 5050 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin of this many points or less (a margin of exactly this size included) are used for the check that leaves out the tails. points or less, the vote-weighted correlation is −0.04 (95% CI −0.18 to 0.08)−0.04 correlation coefficientEstimandcorrelation of distance from an even split with county spreadInterval95% CI −0.18 to 0.08n1,725Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units and a margin of 50 points or lessPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345)., an interval that includes zero, against −0.26 (95% CI −0.30 to −0.22)−0.26 correlation coefficientEstimandcorrelation of distance from an even split with county spread, each county counted onceInterval95% CI −0.30 to −0.22n1,725Weightsnone (full counts); each county counted oncePopulationcounties in the analysis sample with at least 5 reporting units and a margin of 50 points or lessPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). when each county counts once. The vote-weighted result depends on the cutoff, as Table 7 shows. Its interval excludes zero only from 6060 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA cutoff of the county margin in the check of how the distance correlation depends on the cutoff (counties with a margin of this many points or less). points up, where the correlation is −0.15−0.15 correlation coefficientEstimandcorrelation of distance from an even split with county spreadInterval95% CI −0.26 to −0.04n2,156Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units and a margin of 60 points or lessPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345).. The absence of a link is specific to the vote-weighted comparison of counties within 5050 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin of this many points or less (a margin of exactly this size included) are used for the check that leaves out the tails. points or less, and it is not a finding about counties in general.

    The negative correlation grows as the tails are added. Precinct margins cannot pass 100100 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteThe largest possible two-party margin, in points. points in either direction, so a county with a margin near the limit has little room for spread. Among the 260260 countiesEstimandcount of counties with a margin larger than 70 pointsWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties with a margin beyond 7070 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin larger than this are the tails of the distribution. points, however, the widest spread is 34.734.7 points of two-party marginEstimandlargest county spreadWeightsnone (full counts)Populationcounties with a margin larger than 70 pointsPeriod2024 presidential general electionSourcePrecinct presidential returns points, against a limit of 71.471.4 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNotePrecinct margins lie between -100 and 100, so a county with margin M cannot have a spread above the square root of 100 squared minus M squared; this is the limit for a margin of 70 points. at a margin of 7070 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin larger than this are the tails of the distribution. points. The highest ratio of a county's spread to the limit at its own margin is 49%49% percent of the limitEstimandlargest ratio of a county's spread to the largest spread its margin allowsWeightsnone (full counts)Populationcounties with a margin larger than 70 pointsPeriod2024 presidential general electionSourcePrecinct presidential returns.The largest spread a county can have is the square root of 100100 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteThe largest possible two-party margin, in points. squared minus its margin squared, so it falls to zero as the margin approaches 100100 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteThe largest possible two-party margin, in points.. Among the 260260 countiesEstimandcount of counties with a margin larger than 70 pointsWeightsnone (full counts)Populationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns counties beyond 7070 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin larger than this are the tails of the distribution. points, the mean ratio of a county's spread to the limit at its own margin is 12%12% percent of the limitEstimandmean ratio of a county's spread to the largest spread its margin allowsn260Weightsnone (full counts); each county counted oncePopulationcounties with a margin larger than 70 pointsPeriod2024 presidential general electionSourcePrecinct presidential returns. The limit therefore does not account for the low spread in lopsided counties, and the data cannot say what does. One candidate is that the losing party has few precincts in those counties, and another is that margins are compressed near one side of the scale well short of the mathematical limit. This chapter reports the pattern and does not read the negative correlation as a finding about competitiveness. The link of spread to Democratic lean does not come from the tails. Within 5050 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin of this many points or less (a margin of exactly this size included) are used for the check that leaves out the tails. points the correlation of spread with lean is +0.41 (95% CI 0.32 to 0.49)+0.41 correlation coefficientEstimandcorrelation of county margin with county spreadInterval95% CI 0.32 to 0.49n1,725Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting units and a margin of 50 points or lessPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345)., against +0.41 (95% CI 0.33 to 0.49)+0.41 correlation coefficientEstimandcorrelation of county margin with county spreadInterval95% CI 0.33 to 0.49n2,853Weightsnone (full counts); counties weighted by their two-party votesPopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). across all counties.

    Near-tied counties differ widely in spread

    A near-tied county has a margin under 55 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county is near-tied when its two-party margin is smaller than this. points and at least 2020 precinctsEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA near-tied county needs at least this many precincts. precincts. The group has 111111 countiesEstimandcountWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns counties with 18.9 million18.9 million two-party votesEstimandsumWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns two-party votes. Table 8 shows their spreads. The median is 23.9 (95% CI 22.8 to 24.9)23.9 points of two-party marginEstimandmedian of county spreadsInterval95% CI 22.8 to 24.9n111Weightsnone (full counts); each county counted oncePopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). points, against 3.43.4 points of two-party marginEstimandmedian of the spread expected if voters were assigned to precincts at randomn111Weightsnone (full counts); each county counted oncePopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns for the median county if voters were assigned to precincts at random, and the range runs from 10.110.1 points of two-party marginEstimandsmallest county spreadWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns to 58.158.1 points of two-party marginEstimandlargest county spreadWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns. A spread of 3030 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county spread of 30 points is called wide. points or more occurs in 2929 countiesEstimandcount with a spread of 30 or moreWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns counties, 26.1%26.1% percent of countiesEstimandshare with a spread of 30 or moreWeightsnone (full counts); each county counted oncePopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns of the group.

    The median near-tied spread is above the 15.615.6 points of two-party marginEstimandmedian of county spreadsInterval95% CI 15.0 to 16.0n2,853Weightsnone (full counts); each county counted oncePopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returnsNote95% interval from a county bootstrap (2,000 replicates, seed 12345). of all counties. Near-tied counties are larger, though, with a median of 78,26978,269 two-party votesEstimandmedian county sizen111Weightsnone (full counts); each county counted oncePopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns two-party votes against 13,70713,707 two-party votesEstimandmedian county sizen2,853Weightsnone (full counts); each county counted oncePopulationcounties in the analysis sample with at least 5 reporting unitsPeriod2024 presidential general electionSourcePrecinct presidential returns for the median county with a spread, and larger counties have wider spreads. The comparison of the two medians therefore mixes closeness with size.

    Their votes are spread across the range of precinct margins. Near-tied counties cast 35.6%35.6% percent of the two-party votes of these countiesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns of their votes in precincts decided by under 1010 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called close when its two-party margin is smaller than this. points, against 18.5%18.5% percent of two-party votesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns in all precincts, and 38.2%38.2% percent of the two-party votes of these countiesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns in precincts decided by 2020 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called a landslide when its two-party margin is this large or larger. points or more, against 65.0%65.0% percent of two-party votesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns. The landslide share divides into 17.5%17.5% percent of the two-party votes of these countiesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns in Democratic precincts and 20.7%20.7% percent of the two-party votes of these countiesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns in Republican ones, and precincts decided by 4040 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA place is called very lopsided when its two-party margin is this large or larger. points or more held 10.5%10.5% percent of the two-party votes of these countiesEstimandshare of votes cast in precincts in the bandWeightsnone (full counts); precinct results weighted by their two-party votesPopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns. A county built from two landslides would have at least 20%20% percent of the county's votesEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteShare of a county's votes in landslide precincts of one party for the two-landslide test. of its votes in Democratic landslide precincts and at least 20%20% percent of the county's votesEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteShare of a county's votes in landslide precincts of one party for the two-landslide test. in Republican ones. Of the 111111 countiesEstimandcountWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns counties, 3939 countiesEstimandcount with one fifth or more of the votes in Democratic landslide precincts and one fifth or more in Republican landslide precinctsWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns (35.1%35.1% percent of countiesEstimandshare of counties in the previous countWeightsnone (full counts); each county counted oncePopulationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns) meet that test. The near-tied counties as a group hold more of their votes in close precincts than the country does and fewer in landslide precincts, and they differ from one another in how the votes divide.

    The counties in Table 1 fall at different points of this range. Bucks County, with a spread of 14.814.8 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn304Weightsnone (full counts); precinct results weighted by their two-party votesPopulationBucks County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns, is in the lowest bin of Table 8, and Centre County, at 36.336.3 points of two-party marginEstimandvote-weighted standard deviation of precinct marginsn87Weightsnone (full counts); precinct results weighted by their two-party votesPopulationCentre County, PAPeriod2024 presidential general electionSourcePrecinct presidential returns, is past the 3030 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA county spread of 30 points is called wide.-point line.

    What these data cannot show

    The chapter describes one election. It says nothing about whether precinct margins are spreading or narrowing, and it makes no comparison with earlier years. Planned, Sorting by geographic scale, 2016 to 2024 (planned), a planned chapter, will compare precincts across elections, and Chapter 6.1, Nationalization of the county vote measures how closely county results move together from one election to the next.

    A precinct is a reporting unit and not a neighborhood. The file has no boundaries, so the data cannot say which precincts are adjacent, and a county with a wide spread need not have opposed precincts next to each other. Units also differ in kind. Units labelled absentee, provisional, early voting, mail, failsafe, military or overseas, and units labelled as statistical adjustments, hold 1.5%1.5% percent of two-party votesEstimandshare of votes in units labelled as ballot buckets: absentee, provisional, early voting, mail, failsafe, military, overseas and statistical-adjustmentWeightsnone (full counts); precinct results weighted by their two-party votesPopulationtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)Period2024 presidential general electionSourcePrecinct presidential returns of votes across 870870 reporting unitsEstimandcountWeightsnone (full counts)Populationreporting units (precincts) in the analysis samplePeriod2024 presidential general electionSourcePrecinct presidential returns units, and they are buckets of ballots and not places. Table 9 repeats the main statistics without them and without the counties where they hold 20%20% percent of the county's votesEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties in which ballot-bucket units (absentee, provisional, early voting and the like) hold this share of votes or more are left out of the side check. of votes or more. That leaves 2,7212,721 countiesEstimandcountWeightsnone (full counts)Populationcounties in the side checkPeriod2024 presidential general electionSourcePrecinct presidential returns counties with a spread and 106106 countiesEstimandcountWeightsnone (full counts)Populationnear-tied counties in the side checkPeriod2024 presidential general electionSourcePrecinct presidential returns near-tied counties, against 111111 countiesEstimandcountWeightsnone (full counts)Populationnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precinctsPeriod2024 presidential general electionSourcePrecinct presidential returns in the full sample.

    A precinct margin describes a place and not the voters in it. A precinct that gave one party 60%60% percent of the two-party voteEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteA margin of 20 points is a 60 to 40 split of the two-party vote. or more still holds voters of the other. Ecological inferenceEcological inferenceDrawing a conclusion about individuals from data on groups or places, such as counties. A pattern across counties can differ from the pattern among the people who live in them., which moves from places to individuals, can fail, because a pattern across places can differ from the pattern among individuals [5]. The results also depend on the units. Shares and spreads change with the size and shape of the areas, a problem known as the modifiable areal unit problem [6], and this chapter uses the units that election offices happened to report. The 6464 parishesEstimandcountWeightsnone (full counts)PopulationLouisiana parishesPeriod2024 presidential general electionSourcePrecinct presidential returns Louisiana parishes, the 66 countiesEstimandcountWeightsnone (full counts)Populationcounties outside Louisiana whose precinct rows do not add to the certified totalPeriod2024 presidential general electionSourcePrecinct presidential returns other counties and Alaska that are left out are not a random set. The cutoffs for near-tied counties and for a wide spread are choices, and so are the vote weights and the 5050 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin of this many points or less (a margin of exactly this size included) are used for the check that leaves out the tails.-point cutoff behind the correlation of spread with distance from an even split. That correlation is near zero only in the vote-weighted comparisons within 5050 points of two-party marginEstimanddefinitionWeightsnone (definition)Populationdefinition used in this chapterPeriod2024 presidential general electionSourcePrecinct presidential returnsNoteCounties with a margin of this many points or less (a margin of exactly this size included) are used for the check that leaves out the tails. points or less. A single spread cannot tell a county with two humps from a county with a long tail. The random-assignment benchmark holds each unit's size and its county's margin fixed and does not model why voters differ across precincts. Nothing here identifies why spread is wider in some counties. It goes with lean, size, nonwhite share and place type, and the controls are few and linear.

    Tables

    Table 1. Bucks County precincts cluster near an even split, while Centre County precincts form two groups, one on each side

    Share of each county's 2024 two-party votes cast in precincts in each 10-point band of margin

    countynsharex0x1
    Bucks County, PA00−100−90
    Bucks County, PA00−90−80
    Bucks County, PA00−80−70
    Bucks County, PA00−70−60
    Bucks County, PA00−60−50
    Bucks County, PA00−50−40
    Bucks County, PA41.05−40−30
    Bucks County, PA258.35−30−20
    Bucks County, PA5417.71−20−10
    Bucks County, PA8327.62−100
    Bucks County, PA6822.48010
    Bucks County, PA4013.771020
    Bucks County, PA155.062030
    Bucks County, PA133.633040
    Bucks County, PA20.3154050
    Bucks County, PA005060
    Bucks County, PA006070
    Bucks County, PA007080
    Bucks County, PA008090
    Bucks County, PA0090100
    Centre County, PA00−100−90
    Centre County, PA00−90−80
    Centre County, PA10.333−80−70
    Centre County, PA54.17−70−60
    Centre County, PA86.12−60−50
    Centre County, PA126.15−50−40
    Centre County, PA77.06−40−30
    Centre County, PA810.56−30−20
    Centre County, PA55.43−20−10
    Centre County, PA34.12−100
    Centre County, PA21.34010
    Centre County, PA711.961020
    Centre County, PA814.102030
    Centre County, PA712.993040
    Centre County, PA79.714050
    Centre County, PA32.835060
    Centre County, PA43.136070
    Centre County, PA007080
    Centre County, PA008090
    Centre County, PA0090100

    Note: The number in the tooltip is the number of precincts in the band. The two counties were chosen for the contrast between them, not at random.

    Note: Full counts of votes: there is no sampling, so the shares carry no confidence interval.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/example_counties.json

    Table 2. Precincts are more often lopsided, and less often close, than counties or than random assignment of voters would make them

    Share of 2024 two-party presidential votes cast in units decided by each margin, in percent of votes

    bandshareunit
    Under 10 points18.52Precincts
    Under 10 points23.13Counties
    Under 10 points23.32Simulated precincts
    20 points or more64.97Precincts
    20 points or more57.25Counties
    20 points or more56.58Simulated precincts
    40 points or more36.37Precincts
    40 points or more25.38Counties
    40 points or more24.96Simulated precincts

    Note: Full counts of votes: there is no sampling, so the shares carry no confidence interval.

    Note: The simulated bars are means over 200 runs and move by at most 0.4 points across runs.

    Note: The sample is 175,345 reporting units in 3,043 counties: Alaska, the 64 Louisiana parishes and 6 other counties whose precinct rows do not match the certified total are left out.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/landslide_shares.json

    Table 3. Spread inside counties is widest in Mississippi and Alabama and scattered across the Southwest and Plains

    Vote-weighted standard deviation of precinct margins inside each county, 2024, in points of two-party margin; counties with at least 5 reporting units

    No inline rows: the values of Table 3 are in /data/precincts-within-counties/county_sd_map.json.

    Views: Spread inside the county; County margin.

    Note: Counties with fewer than 5 reporting units (190 of the 3,043 in the sample), the 64 Louisiana parishes, 6 other counties whose precinct rows do not match the certified total, Alaska and Kansas City, Missouri are drawn as no data.

    Note: A county near the floor of 5 reporting units has a spread that one unit can move a long way.

    Note: Full counts of votes: there is no sampling, so county margins and spreads carry no sampling error.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/county_sd_map.json

    Table 4. Spread of precinct margins falls from the largest metro counties to the least urban ones

    Vote-weighted mean of county spreads by Rural-Urban Continuum Code group, 2024, in points of two-party margin

    Place typeDescriptionRural-Urban Continuum CodeMean spread (points)Interval, lowInterval, highCounties
    Largest metroMetro area of 1 million or more124.823.526.1419
    Smaller metroSmaller metro area2 to 322.721.923.5690
    Larger nonmetroNonmetro, larger towns4 to 719.418.720.1861
    Least urbanNonmetro, smaller towns and open country8 to 915.514.616.5873

    Note: The number in the tooltip is the number of counties in the group. 2,853 counties have at least 5 reporting units; 10 of them have no code in the demographics panel (the Connecticut counties, Kansas City, Missouri, and Oglala Lakota County, South Dakota) and are left out of the bars.

    Note: The returns are full counts with no sampling error. The whiskers show how much a mean would move with a different set of counties, from a county bootstrap.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated; county demographics panel (ACS 2024, Rural-Urban Continuum Code 2023)

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/sd_by_place_type.json

    Table 5. Spread rises from the reddest counties to about Trump +14, then levels off

    Vote-weighted standard deviation of precinct margins inside each county against the county two-party margin, 2024; one dot per county, sized by two-party votes

    CountyMargin (points)Spread (points)Two-party votesPrecincts
    Autauga, AL−46.717.427,92321
    Baldwin, AL−58.716.3120,73261
    Barbour, AL−14.832.19,76418
    Bibb, AL−64.824.69,19110
    Blount, AL−81.66.727,93026
    Bullock, AL+46.142.84,08410
    Butler, AL−22.841.28,42323
    Calhoun, AL−45.137.048,10644
    Chambers, AL−23.430.514,11618
    Cherokee, AL−75.99.712,91125
    Chilton, AL−72.515.519,61820
    Choctaw, AL−24.055.16,61834
    Clarke, AL−17.141.611,89231
    Clay, AL−70.519.76,72717
    Cleburne, AL−84.18.27,59316
    Coffee, AL−58.426.222,09629
    Colbert, AL−46.826.426,85136
    Conecuh, AL−14.052.06,00328
    Coosa, AL−43.548.45,23614
    Covington, AL−72.815.116,99127
    Crenshaw, AL−54.931.76,45717
    Cullman, AL−81.19.642,74351
    Dale, AL−52.720.918,96020
    Dallas, AL+32.747.315,42631
    Dekalb, AL−74.410.229,39146
    Elmore, AL−52.522.741,14831
    Escambia, AL−46.639.914,84831
    Etowah, AL−56.137.145,68033
    Fayette, AL−72.521.88,30026
    Franklin, AL−73.817.811,98526
    Geneva, AL−77.410.612,32023
    Greene, AL+55.921.44,01816
    Hale, AL+6.937.07,23716
    Henry, AL−51.124.49,25216
    Houston, AL−48.231.843,82130
    Jackson, AL−71.98.823,34932
    Jefferson, AL+10.653.5293,235179
    Lamar, AL−76.415.66,83927
    Lauderdale, AL−52.027.643,03433
    Lawrence, AL−62.737.216,00731
    Lee, AL−28.228.771,81827
    Limestone, AL−44.424.252,46827
    Lowndes, AL+37.544.65,62514
    Macon, AL+56.738.47,76616
    Madison, AL−9.131.9193,25481
    Marengo, AL−3.838.79,62620
    Marion, AL−82.24.113,44217
    Marshall, AL−72.27.139,98731
    Mobile, AL−16.650.2172,81482
    Monroe, AL−23.350.69,74729
    Montgomery, AL+31.140.088,42353
    Morgan, AL−53.131.952,84141
    Perry, AL+42.946.94,44314
    Pickens, AL−23.547.98,85321
    Pike, AL−25.341.813,12336
    Randolph, AL−65.223.011,02222
    Russell, AL+1.740.220,50020
    St. Clair, AL−64.614.043,14132
    Shelby, AL−41.316.8112,75340
    Sumter, AL+41.423.85,26715
    Talladega, AL−33.930.232,99828
    Tallapoosa, AL−49.937.219,85928
    Tuscaloosa, AL−20.647.184,12356
    Walker, AL−72.316.229,56647
    Washington, AL−55.635.88,39721
    Wilcox, AL+31.648.95,24221
    Winston, AL−84.04.811,07520
    Apache, AZ+19.257.931,66744
    Cochise, AZ−23.426.658,23254
    Coconino, AZ+20.234.469,08075
    Gila, AZ−37.928.227,40539
    Graham, AZ−48.634.315,04423
    Greenlee, AZ−41.517.53,2626
    La Paz, AZ−44.522.57,57111
    Maricopa, AZ−3.524.22,031,547907
    Mohave, AZ−56.19.4109,72524
    Navajo, AZ−17.452.750,23417
    Pima, AZ+15.324.6507,119265
    Pinal, AZ−22.317.9207,582108
    Santa Cruz, AZ+18.819.218,95031
    Yavapai, AZ−34.020.9147,08354
    Yuma, AZ−20.624.267,56844
    Arkansas, AR−44.939.55,45430
    Ashley, AR−48.740.06,91930
    Baxter, AR−57.85.820,59411
    Benton, AR−27.720.6124,948426
    Boone, AR−66.19.116,82212
    Bradley, AR−39.444.83,17414
    Calhoun, AR−63.118.12,0538
    Carroll, AR−32.433.211,28211
    Chicot, AR+4.049.03,4547
    Clark, AR−20.935.27,48520
    Clay, AR−62.89.14,87517
    Cleburne, AR−69.09.712,53634
    Cleveland, AR−68.522.53,32817
    Columbia, AR−37.035.17,83314
    Conway, AR−41.325.28,34231
    Craighead, AR−38.327.236,36253
    Crawford, AR−59.37.523,36813
    Crittenden, AR+2.341.814,39017
    Cross, AR−48.640.66,39514
    Dallas, AR−30.047.22,2809
    Desha, AR−4.945.73,44321
    Drew, AR−34.429.26,25317
    Faulkner, AR−33.129.853,10951
    Franklin, AR−63.89.46,81439
    Fulton, AR−63.49.04,94610
    Garland, AR−37.120.541,37452
    Grant, AR−70.09.47,94718
    Greene, AR−62.38.915,55211
    Hempstead, AR−40.541.15,96924
    Hot Spring, AR−53.229.012,04432
    Howard, AR−47.434.84,4049
    Independence, AR−60.817.113,71234
    Izard, AR−67.39.25,80345
    Jackson, AR−49.630.74,69245
    Jefferson, AR+20.459.621,270169
    Johnson, AR−52.512.68,87311
    Lafayette, AR−39.042.92,2879
    Lawrence, AR−65.49.25,57328
    Lee, AR+3.643.22,4519
    Lincoln, AR−51.051.23,31526
    Little River, AR−55.127.94,82820
    Logan, AR−63.59.48,03136
    Lonoke, AR−54.820.030,01555
    Madison, AR−59.66.27,37610
    Marion, AR−61.29.27,73129
    Miller, AR−51.735.115,61119
    Mississippi, AR−32.245.110,53716
    Monroe, AR−16.048.42,38724
    Montgomery, AR−64.59.03,63216
    Nevada, AR−40.443.22,85120
    Newton, AR−65.318.23,70719
    Ouachita, AR−19.438.38,46818
    Perry, AR−58.89.14,48217
    Phillips, AR+13.539.54,85210
    Pike, AR−74.014.34,30611
    Poinsett, AR−64.59.46,96612
    Polk, AR−71.87.58,13217
    Pope, AR−53.518.923,60555
    Prairie, AR−66.816.13,15224
    Pulaski, AR+22.735.3150,015132
    Randolph, AR−65.010.66,50529
    St Francis, AR+0.853.85,86215
    Saline, AR−41.020.156,34542
    Scott, AR−74.510.53,33826
    Searcy, AR−73.28.13,81615
    Sebastian, AR−38.527.244,371180
    Sevier, AR−62.818.84,6349
    Sharp, AR−63.910.47,29425
    Stone, AR−63.17.65,89718
    Union, AR−34.041.015,21528
    Van Buren, AR−61.511.97,46021
    Washington, AR−6.933.194,022224
    White, AR−62.614.130,15592
    Woodruff, AR−33.145.02,27320
    Yell, AR−61.916.16,36028
    Alameda, CA+56.026.1640,028822
    Alpine, CA+32.720.67225
    Amador, CA−28.520.321,74279
    Butte, CA−3.131.491,203212
    Calaveras, CA−28.825.825,80650
    Colusa, CA−29.020.66,84519
    Contra Costa, CA+39.324.3510,2111,202
    Del Norte, CA−16.818.110,25736
    El Dorado, CA−12.325.0108,695260
    Fresno, CA−4.527.6316,996684
    Glenn, CA−35.727.49,928113
    Humboldt, CA+29.830.061,284164
    Imperial, CA−0.723.352,228215
    Inyo, CA−2.919.68,65028
    Kern, CA−21.626.4275,4611,082
    Kings, CA−23.421.640,435174
    Lake, CA−1.414.425,94573
    Lassen, CA−55.216.010,97265
    Los Angeles, CA+34.029.43,605,7494,808
    Madera, CA−21.321.153,240112
    Marin, CA+65.714.9140,102217
    Mariposa, CA−21.525.89,15932
    Mendocino, CA+28.125.137,197240
    Merced, CA−3.928.482,772621
    Modoc, CA−48.114.33,87430
    Mono, CA+21.131.45,80822
    Monterey, CA+30.820.8142,286403
    Napa, CA+36.117.763,325336
    Nevada, CA+12.731.359,904180
    Orange, CA+2.825.41,346,0712,899
    Placer, CA−8.723.9227,596468
    Plumas, CA−17.520.09,74528
    Riverside, CA−1.324.9914,4001,711
    Sacramento, CA+20.427.2633,4761,249
    San Benito, CA+12.922.826,88180
    San Bernardino, CA−2.124.1738,0812,738
    San Diego, CA+17.326.61,433,9113,315
    San Francisco, CA+67.618.0386,2981,014
    San Joaquin, CA−0.925.2255,429437
    San Luis Obispo, CA+11.228.3146,169251
    San Mateo, CA+52.115.9319,349523
    Santa Barbara, CA+27.631.9178,735424
    Santa Clara, CA+41.620.7721,2841,311
    Santa Cruz, CA+56.617.8128,801282
    Shasta, CA−37.416.086,661128
    Sierra, CA−24.922.61,70719
    Siskiyou, CA−19.929.120,790105
    Solano, CA+23.824.9184,102366
    Sonoma, CA+47.814.5242,395755
    Stanislaus, CA−11.222.6192,155469
    Sutter, CA−32.214.838,38848
    Tehama, CA−42.716.525,86968
    Trinity, CA−9.813.55,42814
    Tulare, CA−21.224.3135,075584
    Tuolumne, CA−22.417.828,09878
    Ventura, CA+15.624.4374,9491,715
    Yolo, CA+37.631.389,24995
    Yuba, CA−26.620.229,21663
    Adams, CO+9.320.1227,080275
    Alamosa, CO−11.120.47,3018
    Arapahoe, CO+20.716.7316,036394
    Archuleta, CO−14.49.99,1228
    Baca, CO−72.07.41,9619
    Bent, CO−39.724.72,1415
    Boulder, CO+57.317.6190,907190
    Broomfield, CO+29.410.945,49758
    Chaffee, CO+14.020.314,02611
    Cheyenne, CO−79.210.31,0385
    Clear Creek, CO+17.19.35,9169
    Conejos, CO−18.327.83,98510
    Costilla, CO+15.223.82,0058
    Crowley, CO−48.94.91,6536
    Delta, CO−36.523.318,97820
    Denver, CO+57.716.6353,399301
    Douglas, CO−7.214.3237,859204
    Eagle, CO+25.117.127,09134
    Elbert, CO−52.38.519,97718
    El Paso, CO−10.121.0370,530324
    Fremont, CO−39.49.324,83920
    Garfield, CO+2.138.229,62127
    Gilpin, CO+13.216.63,9836
    Grand, CO−0.828.99,56512
    Gunnison, CO+30.231.210,57615
    Huerfano, CO−8.89.54,3115
    Jefferson, CO+20.014.1351,380296
    Kit Carson, CO−69.47.63,63913
    Lake, CO+17.17.93,7566
    La Plata, CO+19.233.634,70133
    Larimer, CO+18.125.8219,056155
    Las Animas, CO−13.821.77,6047
    Lincoln, CO−65.77.52,52213
    Logan, CO−57.815.99,95316
    Mesa, CO−24.919.289,41267
    Moffat, CO−64.29.56,52513
    Montezuma, CO−21.521.814,76512
    Montrose, CO−33.317.025,05821
    Morgan, CO−49.815.613,12118
    Otero, CO−27.124.28,68417
    Ouray, CO+21.623.84,0155
    Park, CO−17.017.111,66913
    Phillips, CO−64.28.72,3008
    Pitkin, CO+45.25.210,92412
    Prowers, CO−51.511.65,0605
    Pueblo, CO−5.324.383,016144
    Rio Blanco, CO−64.99.83,6255
    Rio Grande, CO−23.818.56,04915
    Routt, CO+28.526.915,88419
    Saguache, CO+3.934.03,2817
    San Miguel, CO+50.730.04,6836
    Sedgwick, CO−57.57.51,3315
    Summit, CO+38.38.917,00620
    Teller, CO−36.45.615,92114
    Washington, CO−76.24.32,7656
    Weld, CO−21.521.9175,221184
    Yuma, CO−66.88.34,56514
    Fairfield, CT+19.917.6445,282190
    Hartford, CT+22.923.7421,938167
    Litchfield, CT−8.220.7104,39248
    Middlesex, CT+13.113.595,82733
    New Haven, CT+12.227.5390,416204
    New London, CT+12.817.2135,04854
    Tolland, CT+8.218.580,08428
    Windham, CT−10.417.355,98432
    Kent, DE+2.030.386,68098
    New Castle, DE+33.123.3271,568312
    Sussex, DE−11.123.7145,861119
    District of Columbia, DC+86.65.9315,261144
    Alachua, FL+21.329.3134,51763
    Baker, FL−73.412.314,9089
    Bay, FL−47.917.096,69829
    Bradford, FL−57.528.213,86613
    Brevard, FL−21.013.4357,766150
    Broward, FL+17.126.3866,280358
    Calhoun, FL−68.022.56,38810
    Charlotte, FL−34.210.4122,93081
    Citrus, FL−46.27.797,63232
    Clay, FL−39.624.6125,63748
    Collier, FL−33.312.6214,98767
    Columbia, FL−50.521.033,35826
    Desoto, FL−43.228.712,41315
    Dixie, FL−70.813.28,10310
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    Escambia, FL−19.828.8161,00880
    Flagler, FL−28.49.579,44521
    Franklin, FL−44.228.66,7018
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    Gilchrist, FL−68.67.210,59310
    Glades, FL−53.524.55,25613
    Gulf, FL−54.524.18,65410
    Hamilton, FL−39.330.85,6918
    Hardee, FL−56.723.68,08812
    Hendry, FL−38.629.013,34910
    Hernando, FL−37.39.7109,87732
    Highlands, FL−41.017.351,60925
    Hillsborough, FL−3.124.2663,472448
    Holmes, FL−80.64.59,0758
    Indian River, FL−27.510.998,39134
    Jackson, FL−46.425.221,96614
    Jefferson, FL−18.720.38,44016
    Lafayette, FL−76.415.53,7375
    Lake, FL−24.917.6225,04692
    Lee, FL−28.613.8389,90199
    Leon, FL+22.029.8154,917132
    Levy, FL−50.514.524,23913
    Liberty, FL−67.330.83,4648
    Madison, FL−29.034.19,10511
    Manatee, FL−23.715.2227,16071
    Marion, FL−31.917.7212,609106
    Martin, FL−31.310.897,66028
    Miami-Dade, FL−11.534.01,085,945721
    Monroe, FL−18.522.943,99733
    Nassau, FL−47.322.665,08818
    Okaloosa, FL−42.915.4112,38352
    Okeechobee, FL−54.110.915,98611
    Orange, FL+13.821.1599,086257
    Osceola, FL−1.520.2170,918127
    Palm Beach, FL+0.823.9739,348781
    Pasco, FL−25.512.8315,229120
    Pinellas, FL−5.322.8511,924286
    Polk, FL−20.923.0345,923172
    Putnam, FL−48.127.636,05437
    St. Johns, FL−31.611.1195,62153
    St. Lucie, FL−9.118.9183,81061
    Santa Rosa, FL−51.411.7111,34941
    Sarasota, FL−18.316.8275,887103
    Seminole, FL−3.614.8250,45282
    Sumter, FL−37.88.9104,68530
    Suwannee, FL−61.318.621,77814
    Taylor, FL−60.035.59,94514
    Union, FL−68.77.06,1958
    Volusia, FL−21.919.0307,823143
    Wakulla, FL−44.77.919,68712
    Walton, FL−58.29.949,25721
    Washington, FL−65.815.012,51012
    Appling, GA−62.536.48,3219
    Baker, GA−19.924.01,4735
    Baldwin, GA−2.235.818,73314
    Banks, GA−78.33.810,49413
    Barrow, GA−40.711.243,6798
    Bartow, GA−51.313.957,21317
    Berrien, GA−70.07.48,0505
    Bibb, GA+22.540.668,83031
    Brooks, GA−26.930.57,1897
    Bryan, GA−36.516.024,51710
    Bulloch, GA−29.128.532,49916
    Burke, GA−9.424.611,02116
    Calhoun, GA+12.332.52,0535
    Camden, GA−35.912.426,22411
    Carroll, GA−41.425.760,17028
    Catoosa, GA−55.86.734,85411
    Charlton, GA−56.425.14,6146
    Chatham, GA+18.138.5140,09487
    Chattooga, GA−64.49.110,6657
    Cherokee, GA−39.315.3160,98042
    Clarke, GA+38.716.152,34624
    Clay, GA+7.532.01,4345
    Clayton, GA+69.613.5111,08070
    Clinch, GA−51.614.22,9035
    Cobb, GA+15.026.6397,083148
    Coffee, GA−45.215.715,6836
    Colquitt, GA−50.335.016,56519
    Columbia, GA−25.821.585,28146
    Cook, GA−46.635.47,3308
    Coweta, GA−34.122.685,31524
    Crawford, GA−50.029.36,3245
    Crisp, GA−26.039.38,0925
    Dade, GA−67.09.18,1477
    Decatur, GA−24.027.911,51210
    Dekalb, GA+65.424.7362,252191
    Dodge, GA−50.021.68,33016
    Dooly, GA−7.713.64,1645
    Dougherty, GA+41.336.033,73525
    Douglas, GA+31.732.170,23625
    Early, GA−11.537.54,8765
    Effingham, GA−49.312.036,08720
    Elbert, GA−43.523.59,56011
    Emanuel, GA−44.323.79,59211
    Fannin, GA−65.05.016,03912
    Fayette, GA−3.232.773,99936
    Floyd, GA−42.225.244,49319
    Forsyth, GA−33.516.9136,79029
    Franklin, GA−72.88.412,1067
    Fulton, GA+45.438.7529,389450
    Gilmer, GA−62.94.918,38913
    Glynn, GA−26.129.243,70217
    Gordon, GA−63.713.327,47712
    Grady, GA−38.440.410,67513
    Greene, GA−29.125.612,7295
    Gwinnett, GA+16.721.3415,548156
    Habersham, GA−65.26.023,1786
    Hall, GA−44.122.0101,33831
    Hancock, GA+35.533.44,22810
    Haralson, GA−74.76.916,30412
    Harris, GA−46.312.122,25912
    Hart, GA−55.012.114,2747
    Heard, GA−72.38.46,1946
    Henry, GA+29.831.3128,23537
    Houston, GA−11.323.580,99717
    Jeff Davis, GA−68.525.65,8599
    Jefferson, GA−1.226.37,4398
    Jenkins, GA−30.637.03,3965
    Jones, GA−38.225.016,03810
    Laurens, GA−32.836.723,28015
    Lee, GA−43.711.717,61210
    Liberty, GA+17.525.722,90012
    Lincoln, GA−45.023.64,9107
    Long, GA−29.617.97,0337
    Lowndes, GA−18.135.347,56818
    McDuffie, GA−25.041.410,4997
    McIntosh, GA−28.725.47,3755
    Macon, GA+18.024.04,6715
    Madison, GA−55.118.516,70412
    Marion, GA−30.444.33,6015
    Meriwether, GA−25.625.411,74814
    Mitchell, GA−16.439.98,85111
    Monroe, GA−46.827.117,64314
    Morgan, GA−46.228.513,1225
    Murray, GA−71.85.017,4247
    Muscogee, GA+23.540.380,02925
    Newton, GA+15.239.958,73219
    Oconee, GA−36.311.827,0448
    Paulding, GA−24.321.194,57121
    Peach, GA−6.136.113,3977
    Pickens, GA−66.19.020,80312
    Pierce, GA−77.69.09,7448
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    Polk, GA−60.714.719,1017
    Putnam, GA−42.425.212,8325
    Randolph, GA+7.728.52,9746
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    Rockdale, GA+47.820.944,87616
    Screven, GA−25.328.76,9067
    Seminole, GA−40.546.94,0025
    Spalding, GA−16.838.432,86317
    Sumter, GA+2.238.712,00511
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    Tattnall, GA−53.613.78,4828
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    Terrell, GA+4.142.34,3286
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    Tift, GA−35.839.416,93412
    Toombs, GA−50.917.810,8825
    Troup, GA−24.536.531,14913
    Twiggs, GA−14.734.94,4445
    Union, GA−62.84.117,78611
    Walker, GA−59.610.731,89811
    Walton, GA−46.220.758,01219
    Ware, GA−43.346.614,34713
    Washington, GA−1.920.99,4678
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    Whitfield, GA−44.723.639,60823
    Wilcox, GA−49.334.23,3406
    Wilkes, GA−16.933.85,0837
    Wilkinson, GA−17.942.44,9009
    Worth, GA−50.536.89,29112
    Hawaii, HI+28.919.780,91164
    Honolulu, HI+22.023.7334,790302
    Kauai, HI+19.921.229,47831
    Maui, HI+26.519.361,52670
    Ada, ID−10.634.1259,875197
    Adams, ID−55.915.12,6145
    Bannock, ID−25.921.638,63557
    Bear Lake, ID−78.78.23,25415
    Benewah, ID−62.812.85,02911
    Bingham, ID−61.322.420,06627
    Blaine, ID+32.627.812,70516
    Boise, ID−55.612.54,7927
    Bonner, ID−47.225.229,00230
    Bonneville, ID−47.016.854,51151
    Boundary, ID−67.014.76,9397
    Canyon, ID−47.815.298,42451
    Caribou, ID−73.46.63,3519
    Cassia, ID−70.811.79,31824
    Clearwater, ID−64.27.74,32414
    Custer, ID−54.628.42,5849
    Elmore, ID−49.86.510,40217
    Franklin, ID−79.94.66,98218
    Fremont, ID−71.112.36,59913
    Gem, ID−67.38.810,40614
    Gooding, ID−61.98.75,7766
    Idaho, ID−69.610.99,60828
    Jefferson, ID−75.45.215,37221

    The first 500 of 2853 rows; every row is in figures/sd_by_margin.json.

    Note: The number in the tooltip is the county's number of reporting units. Kings County, New York, and the two Pennsylvania counties named in the text are labeled.

    Note: The returns are full counts with no sampling error. The whiskers show how much a mean would move with a different set of counties, from a county bootstrap.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/sd_by_margin.json

    Table 6. Spread rises with Democratic lean, with or without controls for county size and state

    Correlation between the spread of precinct margins and the county two-party margin, Democratic positive, across 2,853 counties, 2024, with 95% intervals

    WeightingControlsCorrelationInterval, lowInterval, highCounties
    Vote-weightedNo controls+0.41+0.33+0.492,853
    Vote-weightedSize fixed+0.21+0.12+0.302,853
    Vote-weightedSize and state fixed+0.28+0.19+0.372,853
    UnweightedNo controls+0.54+0.51+0.562,853
    UnweightedSize fixed+0.46+0.43+0.502,853
    UnweightedSize and state fixed+0.47+0.43+0.512,853

    Note: Each interval resamples counties 2,000 times; a full count has no sampling error, so the interval says how much the correlation would move with a different set of counties.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/dispersion_partials.json

    Table 7. Spread falls with distance from an even split, except in vote-weighted comparisons of counties within 50 points

    Correlation between the spread of precinct margins and the size of the county margin, among counties with a margin at or below each cutoff, 2024, with 95% intervals

    Cutoff (points of margin)WeightingCountiesNo controlsSize fixedSize and state fixed
    30Vote-weighted954−0.02 [−0.13, +0.08]+0.01 [−0.09, +0.10]−0.07 [−0.18, +0.02]
    30Unweighted954−0.12 [−0.18, −0.06]−0.13 [−0.19, −0.07]−0.17 [−0.23, −0.11]
    40Vote-weighted1,321−0.07 [−0.18, +0.04]−0.03 [−0.13, +0.05]−0.08 [−0.20, 0.00]
    40Unweighted1,321−0.20 [−0.25, −0.14]−0.21 [−0.26, −0.15]−0.25 [−0.30, −0.20]
    50Vote-weighted1,725−0.04 [−0.18, +0.08]+0.01 [−0.12, +0.12]−0.04 [−0.19, +0.06]
    50Unweighted1,725−0.26 [−0.30, −0.22]−0.26 [−0.30, −0.21]−0.31 [−0.36, −0.27]
    60Vote-weighted2,156−0.15 [−0.26, −0.04]−0.08 [−0.18, +0.03]−0.11 [−0.24, −0.02]
    60Unweighted2,156−0.38 [−0.41, −0.34]−0.36 [−0.39, −0.32]−0.39 [−0.44, −0.35]
    70Vote-weighted2,593−0.24 [−0.34, −0.13]−0.15 [−0.25, −0.04]−0.20 [−0.33, −0.10]
    70Unweighted2,593−0.48 [−0.51, −0.45]−0.44 [−0.47, −0.40]−0.48 [−0.52, −0.45]
    100Vote-weighted2,853−0.29 [−0.39, −0.20]−0.19 [−0.30, −0.09]−0.25 [−0.37, −0.16]
    100Unweighted2,853−0.55 [−0.57, −0.52]−0.49 [−0.52, −0.46]−0.55 [−0.58, −0.52]

    Note: The last cutoff, 100 points, includes every county, because no margin can be larger. The number in the tooltip is the number of counties in the row. Each interval resamples the counties of the row 2,000 times; a full count has no sampling error, so the interval says how much the correlation would move with a different set of counties.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/ext_by_cutoff.json

    Table 8. Near-tied counties differ widely in how much their precinct margins vary

    Share of the near-tied counties in each 5-point bin of spread of precinct margins, 2024; margin under 5 points and at least 20 precincts

    nsharex0x1
    119.911015
    2118.921520
    3430.632025
    1614.412530
    119.913035
    119.913540
    54.504045
    10.9014550
    005055
    10.9015560

    Note: The number in the tooltip is the number of counties in the bin.

    Note: Full counts of votes: there is no sampling, so the shares carry no confidence interval.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/near_tied_sd.json

    Table 9. Dropping ballot-bucket units moves each correlation by at most 0.02 and each vote share by at most 0.3 points

    Main statistics in the full sample and in a side check that drops ballot-bucket units, 2024 two-party presidential returns

    StatisticFull sampleWithout ballot-bucket units
    Counties with a spread2,8532,721
    Near-tied counties111106
    Median spread of near-tied counties (points)23.924.0
    Correlation of spread with Democratic lean+0.41+0.40
    Same, with county size and state fixed+0.28+0.27
    Correlation of spread with distance from an even split, counties within 50 points−0.04−0.04
    Votes in precincts decided by 20 points or more65.0%64.8%
    Votes in precincts decided by under 10 points18.5%18.6%

    Note: The changes in the title are the largest differences before rounding, rounded up to the decimals printed.

    Source: MIT Election Data and Science Lab, 2024 precinct-level presidential returns; county totals summed from the precincts; full counts of votes, not survey estimates, so nothing is weighted except by two-party votes where stated

    Data: vishalsingh.org/politics/report/precincts-within-counties/figures/side_check.json

    All estimates

    Every fact in facts.json (160), sorted by id. The same values as JSON: facts.json.

    Fact idValueUnitEstimandPopulationPeriodIntervalnWeightsSourceNote
    alaska_share_cert0.2%percent of the certified two-party votesshare of certified two-party votes cast in Alaskaall counties with returns2024 presidential general electionnone (full counts)County election returns
    all_median_votes13,707two-party votesmedian county sizecounties in the analysis sample with at least 5 reporting units2024 presidential general election2,853none (full counts); each county counted oncePrecinct presidential returns
    beyond_max_sd34.7points of two-party marginlargest county spreadcounties with a margin larger than 70 points2024 presidential general electionnone (full counts)Precinct presidential returns
    beyond_n260countiescount of counties with a margin larger than 70 pointscounties in the analysis sample with at least 5 reporting units2024 presidential general electionnone (full counts)Precinct presidential returns
    beyond_ratio_max49%percent of the limitlargest ratio of a county's spread to the largest spread its margin allowscounties with a margin larger than 70 points2024 presidential general electionnone (full counts)Precinct presidential returns
    beyond_ratio_mean12%percent of the limitmean ratio of a county's spread to the largest spread its margin allowscounties with a margin larger than 70 points2024 presidential general election260none (full counts); each county counted oncePrecinct presidential returns
    bin_blue_end19.3points of two-party marginmean county spread weighted by votescounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)2024 presidential general election95% CI 15.3 to 23.912none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    bin_blue_end_n12countiescountcounties in that bin2024 presidential general electionnone (full counts)Precinct presidential returns
    bin_blue_end_x66points of two-party marginvote-weighted mean county margincounties in the analysis sample in that bin2024 presidential general election12none (full counts); counties weighted by their two-party votesPrecinct presidential returns
    bin_diff_gap6.9points of two-party margindifference between the vote-weighted mean spreads of the highest bin and that bincounties in the highest bin and in that bin2024 presidential general election95% CI 0.7 to 12.9203none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from resampling the counties of each bin separately (2,000 replicates, seed 12345).
    bin_diff_x4points of two-party marginvote-weighted mean county margin (Republican lead)counties in that bin2024 presidential general election169none (full counts); counties weighted by their two-party votesPrecinct presidential returnsThe one bin of the run, other than the highest bin, whose difference from the highest bin has a 95% interval that excludes zero.
    bin_gap_blue11.8points of two-party margindifference between the vote-weighted mean spreads of the two binscounties in the highest bin and in the bluest bin2024 presidential general election95% CI 3.9 to 18.946none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from resampling the counties of each bin separately (2,000 replicates, seed 12345).
    bin_peak31.1points of two-party marginmean county spread weighted by votescounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)2024 presidential general election95% CI 24.7 to 36.834none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    bin_peak_x43points of two-party marginvote-weighted mean county margincounties in the analysis sample in that bin2024 presidential general election34none (full counts); counties weighted by their two-party votesPrecinct presidential returns
    bin_plat_end_x34points of two-party marginvote-weighted mean county margin (Democratic lead)counties in that bin2024 presidential general election50none (full counts); counties weighted by their two-party votesPrecinct presidential returns
    bin_plat_max28.4points of two-party marginlargest binned mean among those binscounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)2024 presidential general electionnone (full counts); counties weighted by their two-party votesPrecinct presidential returns
    bin_plat_min24.1points of two-party marginsmallest binned mean among those binscounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)2024 presidential general electionnone (full counts); counties weighted by their two-party votesPrecinct presidential returns
    bin_plat_n6binscountbins whose intervals overlap the interval of the highest bin, counted back from it, other than the highest bin2024 presidential general electionnone (full counts)Precinct presidential returns
    bin_plat_start25.4points of two-party marginmean county spread weighted by votescounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)2024 presidential general election95% CI 23.4 to 27.5201none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    bin_plat_start_x14points of two-party marginvote-weighted mean county margin (Republican lead)counties in that bin2024 presidential general election201none (full counts); counties weighted by their two-party votesPrecinct presidential returns
    bin_red_end6.7points of two-party marginmean county spread weighted by votescounties in the analysis sample in a 10-point bin of county margin (at least 10 counties)2024 presidential general election95% CI 5.2 to 8.040none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    bin_red_end_x82points of two-party marginvote-weighted mean county margincounties in the analysis sample in that bin2024 presidential general election40none (full counts); counties weighted by their two-party votesPrecinct presidential returns
    bin_width10points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsWidth of the margin bins used for the binned means and the precinct histograms.
    bound_at_cut71.4points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsPrecinct margins lie between -100 and 100, so a county with margin M cannot have a spread above the square root of 100 squared minus M squared; this is the limit for a margin of 70 points.
    bucks_comp50.0%percent of the county's two-party votesshare of votes cast in precincts decided by under 10 pointsBucks County, PA2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    bucks_margin−0.1points of two-party margintwo-party margin, Democratic positiveBucks County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    bucks_max_d42.0points of two-party marginmargin of the most Democratic precinctBucks County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    bucks_max_r33.7points of two-party marginmargin of the most Republican precinct, as a Republican leadBucks County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    bucks_sd14.8points of two-party marginvote-weighted standard deviation of precinct marginsBucks County, PA2024 presidential general election304none (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    bucks_units304precinctscountBucks County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    centre_comp5.5%percent of the county's two-party votesshare of votes cast in precincts decided by under 10 pointsCentre County, PA2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    centre_margin+2.9points of two-party margintwo-party margin, Democratic positiveCentre County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    centre_max_d65.0points of two-party marginmargin of the most Democratic precinctCentre County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    centre_max_r75.2points of two-party marginmargin of the most Republican precinct, as a Republican leadCentre County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    centre_sd36.3points of two-party marginvote-weighted standard deviation of precinct marginsCentre County, PA2024 presidential general election87none (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    centre_units87precinctscountCentre County, PA2024 presidential general electionnone (full counts)Precinct presidential returns
    comp_equiv55%percent of the two-party votedefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA margin of 10 points is a 55 to 45 split of the two-party vote.
    cut_beyond70points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsCounties with a margin larger than this are the tails of the distribution.
    cut_big_votes100,000two-party votesdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsCounties with at least this many two-party votes are called large.
    cut_comp10points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA place is called close when its two-party margin is smaller than this.
    cut_deep40points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA place is called very lopsided when its two-party margin is this large or larger.
    cut_floor_units5reporting unitsdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA county needs at least this many reporting units for a spread estimate.
    cut_land20points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA place is called a landslide when its two-party margin is this large or larger.
    cut_mid_lo15points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsLower end of the middle range of near-tied spreads: a spread of this many points or more and under the wide-spread cutoff.
    cut_near5points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA county is near-tied when its two-party margin is smaller than this.
    cut_near_units20precinctsdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA near-tied county needs at least this many precincts.
    cut_nongeo_share20%percent of the county's votesdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsCounties in which ballot-bucket units (absentee, provisional, early voting and the like) hold this share of votes or more are left out of the side check.
    cut_sd30points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA county spread of 30 points is called wide.
    cut_sd_top50points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA county is called one of the widest-spread counties when its spread is this many points or more.
    cut_small_units10reporting unitsdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA county with fewer reporting units than this is called small in the note on the map.
    cut_two_share20%percent of the county's votesdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsShare of a county's votes in landslide precincts of one party for the two-landslide test.
    cut_within50points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsCounties with a margin of this many points or less (a margin of exactly this size included) are used for the check that leaves out the tails.
    cutoff_3030points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA cutoff of the county margin in the check of how the distance correlation depends on the cutoff (counties with a margin of this many points or less).
    cutoff_4040points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA cutoff of the county margin in the check of how the distance correlation depends on the cutoff (counties with a margin of this many points or less).
    cutoff_6060points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA cutoff of the county margin in the check of how the distance correlation depends on the cutoff (counties with a margin of this many points or less).
    floor_vw_mean3.1points of two-party marginmean of the spread expected if voters were assigned to precincts at random, weighted by votescounties in the analysis sample with at least 5 reporting units2024 presidential general election2,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns
    la_share51.5%percent of the certified two-party votesratio of precinct votes to certified votesLouisiana parishes2024 presidential general electionnone (full counts)Precinct presidential returns
    land_equiv60%percent of the two-party votedefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA margin of 20 points is a 60 to 40 split of the two-party vote.
    margin_arlington+59.9points of two-party margintwo-party margin, Democratic positiveArlington (a county with at least 100,000 two-party votes)2024 presidential general electionnone (full counts)Precinct presidential returns
    margin_dc+86.6points of two-party margintwo-party margin, Democratic positiveDistrict of Columbia (a county with at least 100,000 two-party votes)2024 presidential general electionnone (full counts)Precinct presidential returns
    margin_max100points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsThe largest possible two-party margin, in points.
    margin_metro1+11.7points of two-party marginvote-weighted mean county marginmetro counties of 1 million or more in the analysis sample2024 presidential general election95% CI 7.3 to 15.7419none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    margin_open−45.2points of two-party marginvote-weighted mean county marginthe least urban nonmetro counties in the analysis sample2024 presidential general election95% CI −47.6 to −42.7873none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    min_bin_counties10countiesdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA bin of county margin is shown only when it holds at least this many counties.
    n_acs2,843countiescountcounties in the analysis sample with at least 5 reporting units and ACS measures2024 presidential general electionnone (full counts)County demographics panel
    n_below_floor190countiescountcounties in the analysis sample2024 presidential general electionnone (full counts)Precinct presidential returnsCounties with fewer than 5 reporting units have no spread estimate.
    n_big318countiescountcounties in the analysis sample with at least 5 reporting units2024 presidential general electionnone (full counts)Precinct presidential returns
    n_boot2,000resamplesdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsNumber of county resamples behind each interval.
    n_counties3,043countiescountcounties in the analysis sample2024 presidential general electionnone (full counts)Precinct presidential returns
    n_counties_disp2,853countiescountcounties in the analysis sample with at least 5 reporting units2024 presidential general electionnone (full counts)Precinct presidential returns
    n_no_rucc10countiescount of counties with no Rural-Urban Continuum Code in the panelcounties in the analysis sample with at least 5 reporting units2024 presidential general electionnone (full counts)County demographics panelThe Connecticut counties (the panel uses the 2022 planning regions), Kansas City, Missouri, and Oglala Lakota County, South Dakota.
    n_out_la64parishescountLouisiana parishes2024 presidential general electionnone (full counts)Precinct presidential returns
    n_out_other6countiescountcounties outside Louisiana whose precinct rows do not add to the certified total2024 presidential general electionnone (full counts)Precinct presidential returns
    n_out_total70countiescountcounties whose precinct rows do not add to the certified total (Louisiana and others)2024 presidential general electionnone (full counts)Precinct presidential returns
    n_sd30368countiescountcounties in the analysis sample with at least 5 reporting units2024 presidential general electionnone (full counts)Precinct presidential returns
    n_sd_top33countiescount of counties with a spread of 50 points or morecounties in the analysis sample with at least 5 reporting units2024 presidential general electionnone (full counts)Precinct presidential returns
    n_sd_top_msal20countiescount of those counties in Mississippi or Alabamacounties in the analysis sample with a spread of 50 points or more2024 presidential general electionnone (full counts)Precinct presidential returns
    n_sd_top_small4countiescount of those counties with fewer than 10 reporting unitscounties in the analysis sample with a spread of 50 points or more2024 presidential general electionnone (full counts)Precinct presidential returns
    n_sim200simulated assignmentsdefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsNumber of simulated assignments of voters to precincts behind the random-assignment bars.
    n_states48statescountstates in the analysis sample, not counting the District of Columbia2024 presidential general electionnone (full counts)Precinct presidential returns
    n_units175,345reporting unitscountreporting units (precincts) in the analysis sample2024 presidential general electionnone (full counts)Precinct presidential returns
    n_within501,725countiescountcounties in the analysis sample with at least 5 reporting units and a margin of 50 points or less2024 presidential general electionnone (full counts)Precinct presidential returns
    near_floor3.4points of two-party marginmedian of the spread expected if voters were assigned to precincts at randomnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general election111none (full counts); each county counted oncePrecinct presidential returns
    near_max_sd58.1points of two-party marginlargest county spreadnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts)Precinct presidential returns
    near_median_sd23.9points of two-party marginmedian of county spreadsnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general election95% CI 22.8 to 24.9111none (full counts); each county counted oncePrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    near_median_votes78,269two-party votesmedian county sizenear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general election111none (full counts); each county counted oncePrecinct presidential returns
    near_min_sd10.1points of two-party marginsmallest county spreadnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts)Precinct presidential returns
    near_n111countiescountnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts)Precinct presidential returns
    near_n_sd3029countiescount with a spread of 30 or morenear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts)Precinct presidential returns
    near_n_two39countiescount with one fifth or more of the votes in Democratic landslide precincts and one fifth or more in Republican landslide precinctsnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts)Precinct presidential returns
    near_share_comp35.6%percent of the two-party votes of these countiesshare of votes cast in precincts in the bandnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    near_share_deep10.5%percent of the two-party votes of these countiesshare of votes cast in precincts in the bandnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    near_share_land38.2%percent of the two-party votes of these countiesshare of votes cast in precincts in the bandnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    near_share_land_d17.5%percent of the two-party votes of these countiesshare of votes cast in precincts in the bandnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    near_share_land_r20.7%percent of the two-party votes of these countiesshare of votes cast in precincts in the bandnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    near_share_mid64.0%percent of countiesshare with a spread of 15 points or more and under 30near-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); each county counted oncePrecinct presidential returns
    near_share_sd3026.1%percent of countiesshare with a spread of 30 or morenear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); each county counted oncePrecinct presidential returns
    near_share_two35.1%percent of countiesshare of counties in the previous countnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts); each county counted oncePrecinct presidential returns
    near_votes18.9 milliontwo-party votessumnear-tied counties in the analysis sample: two-party margin within 5 points and at least 20 precincts2024 presidential general electionnone (full counts)Precinct presidential returns
    nongeo_share1.5%percent of two-party votesshare of votes in units labelled as ballot buckets: absentee, provisional, early voting, mail, failsafe, military, overseas and statistical-adjustmenttwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    nongeo_units870reporting unitscountreporting units (precincts) in the analysis sample2024 presidential general electionnone (full counts)Precinct presidential returns
    out_share_cert2.0%percent of the certified two-party votesshareall counties with returns2024 presidential general electionnone (full counts)County election returnsThe 70 counties left out by the reconciliation rule; Alaska is a further share.
    r_cut60−0.15correlation coefficientcorrelation of distance from an even split with county spreadcounties in the analysis sample with at least 5 reporting units and a margin of 60 points or less2024 presidential general election95% CI −0.26 to −0.042,156none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_cutallu−0.55correlation coefficientcorrelation of distance from an even split with county spread, each county counted oncecounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI −0.57 to −0.522,853none (full counts); each county counted oncePrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_ext50_raw−0.04correlation coefficientcorrelation of distance from an even split with county spreadcounties in the analysis sample with at least 5 reporting units and a margin of 50 points or less2024 presidential general election95% CI −0.18 to 0.081,725none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_ext50u_raw−0.26correlation coefficientcorrelation of distance from an even split with county spread, each county counted oncecounties in the analysis sample with at least 5 reporting units and a margin of 50 points or less2024 presidential general election95% CI −0.30 to −0.221,725none (full counts); each county counted oncePrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_ext_fe−0.25correlation coefficientcorrelation of distance from an even split with county spread after size and state controlscounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI −0.37 to −0.162,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_ext_raw−0.29correlation coefficientcorrelation of the county margin's distance from zero with county spreadcounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI −0.39 to −0.202,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_ext_size−0.19correlation coefficientcorrelation of distance from an even split with county spread after removing sizecounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI −0.30 to −0.092,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_lean50_raw+0.41correlation coefficientcorrelation of county margin with county spreadcounties in the analysis sample with at least 5 reporting units and a margin of 50 points or less2024 presidential general election95% CI 0.32 to 0.491,725none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_lean_fe+0.28correlation coefficientcorrelation of county margin with county spread after removing the linear effects of log votes and log precincts and state meanscounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.19 to 0.372,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_lean_logvotes+0.64correlation coefficientcorrelation of county margin with the log of two-party votescounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.59 to 0.692,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_lean_raw+0.41correlation coefficientcorrelation of county margin with county spreadcounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.33 to 0.492,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_lean_size+0.21correlation coefficientcorrelation of county margin with county spread after removing linear effects of log votes and log precinctscounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.12 to 0.302,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_lean_unw+0.54correlation coefficientcorrelation of county margin with county spread, each county counted oncecounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.51 to 0.562,853none (full counts); each county counted oncePrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_lean_unw_fe+0.47correlation coefficientcorrelation of county margin with county spread after size and state controls, each county counted oncecounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.43 to 0.512,853none (full counts); each county counted oncePrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_nonwhite_fe+0.31correlation coefficientcorrelation of the nonwhite share with county spread after size and state controlscounties in the analysis sample with at least 5 reporting units and ACS measures2024 presidential general election95% CI 0.22 to 0.402,843none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_nonwhite_raw+0.43correlation coefficientcorrelation of the nonwhite share (ACS 2024) with county spreadcounties in the analysis sample with at least 5 reporting units and ACS measures2024 presidential general election95% CI 0.36 to 0.502,843none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_rural_fe−0.13correlation coefficientcorrelation of the rural share with county spread after size and state controlscounties in the analysis sample with at least 5 reporting units and ACS measures2024 presidential general election95% CI −0.19 to −0.082,843none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_rural_raw−0.36correlation coefficientcorrelation of the rural share (2020 census urban area definition, county panel) with county spreadcounties in the analysis sample with at least 5 reporting units and ACS measures2024 presidential general election95% CI −0.41 to −0.302,843none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    r_sd_logvotes+0.40correlation coefficientcorrelation of county spread with the log of two-party votescounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.33 to 0.462,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    rb_dcorr_max0.02correlation coefficientlargest absolute change, rounded up to two decimals, across the correlations of spread with lean (raw and with size and state fixed) and with distance from an even split within 50 pointscounties in the side check and in the full sample2024 presidential general electionnone (full counts); counties weighted by their two-party votesPrecinct presidential returns
    rb_dshare_max0.3percentage points of voteslargest absolute change, rounded up to one decimal, across the shares of votes in precincts decided by 20 points or more and by under 10 pointsunits in the side check and in the full sample2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    rb_n_counties2,721countiescountcounties in the side check2024 presidential general electionnone (full counts)Precinct presidential returns
    rb_near_n106countiescountnear-tied counties in the side check2024 presidential general electionnone (full counts)Precinct presidential returns
    sd_al32.2points of two-party marginmean of county spreads weighted by votesAlabama counties with at least 5 reporting units2024 presidential general election95% CI 25.2 to 38.367none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345), resampling the counties of the state.
    sd_arlington6.5points of two-party marginvote-weighted standard deviation of precinct marginsArlington (a county with at least 100,000 two-party votes)2024 presidential general election55none (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    sd_bin_width5points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsWidth of the spread bins in the histogram of near-tied counties.
    sd_dc5.9points of two-party marginvote-weighted standard deviation of precinct marginsDistrict of Columbia (a county with at least 100,000 two-party votes)2024 presidential general election144none (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    sd_equiv15points of Democratic vote sharedefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsA spread of 30 margin points is a spread of 15 points of the Democratic share of the two-party vote.
    sd_jeffal53.5points of two-party marginvote-weighted standard deviation of precinct marginsJefferson County, AL, 2024 (a county with at least 100,000 two-party votes)2024 presidential general election179none (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    sd_kings54.9points of two-party marginvote-weighted standard deviation of precinct marginsKings County, NY, 2024 (a county with at least 100,000 two-party votes)2024 presidential general election1,341none (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    sd_median15.6points of two-party marginmedian of county spreadscounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 15.0 to 16.02,853none (full counts); each county counted oncePrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    sd_metro124.8points of two-party marginmean of county spreads weighted by two-party votescounties in the analysis sample with at least 5 reporting units, metro area of 1 million or more (Rural-Urban Continuum Code 1, 2023)2024 presidential general election95% CI 23.5 to 26.1419none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    sd_metro222.7points of two-party marginmean of county spreads weighted by two-party votescounties in the analysis sample with at least 5 reporting units, smaller metro area (Rural-Urban Continuum Code 2 to 3, 2023)2024 presidential general election95% CI 21.9 to 23.5690none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    sd_mobile50.2points of two-party marginvote-weighted standard deviation of precinct marginsMobile County, AL, 2024 (a county with at least 100,000 two-party votes)2024 presidential general election82none (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    sd_ms38.2points of two-party marginmean of county spreads weighted by votesMississippi counties with at least 5 reporting units2024 presidential general election95% CI 34.9 to 41.582none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345), resampling the counties of the state.
    sd_open15.5points of two-party marginmean of county spreads weighted by two-party votescounties in the analysis sample with at least 5 reporting units, nonmetro, smaller towns and open country (Rural-Urban Continuum Code 8 to 9, 2023)2024 presidential general election95% CI 14.6 to 16.5873none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    sd_town19.4points of two-party marginmean of county spreads weighted by two-party votescounties in the analysis sample with at least 5 reporting units, nonmetro, larger towns (Rural-Urban Continuum Code 4 to 7, 2023)2024 presidential general election95% CI 18.7 to 20.1861none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    sd_vw_mean23.3points of two-party marginmean of county spreads weighted by two-party votescounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 22.5 to 24.12,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    share_comp_county23.1%percent of two-party votesshare of votes cast in counties in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    share_comp_precinct18.5%percent of two-party votesshare of votes cast in precincts in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    share_comp_random23.3%percent of two-party votesmean over 200 simulated assignments of the share of votes in precincts in the band, when each precinct's Democratic votes are a binomial draw of its votes at its county's Democratic sharetwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election200none; simulation with unit sizes and county margins held fixed (seed 12345)Precinct presidential returns
    share_deep_county25.4%percent of two-party votesshare of votes cast in counties in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    share_deep_precinct36.4%percent of two-party votesshare of votes cast in precincts in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    share_deep_random25.0%percent of two-party votesmean over 200 simulated assignments of the share of votes in precincts in the band, when each precinct's Democratic votes are a binomial draw of its votes at its county's Democratic sharetwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election200none; simulation with unit sizes and county margins held fixed (seed 12345)Precinct presidential returns
    share_land_county57.2%percent of two-party votesshare of votes cast in counties in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    share_land_precinct65.0%percent of two-party votesshare of votes cast in precincts in the bandtwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    share_land_random56.6%percent of two-party votesmean over 200 simulated assignments of the share of votes in precincts in the band, when each precinct's Democratic votes are a binomial draw of its votes at its county's Democratic sharetwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election200none; simulation with unit sizes and county margins held fixed (seed 12345)Precinct presidential returns
    sim_county_gap0.7percentage points of voteslargest absolute difference across the three bands between the random-assignment share and the county sharetwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts); precinct results weighted by their two-party votesPrecinct presidential returns
    sim_range0.4percentage points of voteslargest difference between the highest and lowest of the simulated shares, across the three bandstwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general election200none; simulation (seed 12345)Precinct presidential returns
    slope_fe0.9points of spread per 10 points of marginweighted least squares slope of county spread on county margin, times 10, with log votes, log precincts and state meanscounties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.6 to 1.32,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    slope_raw1.1points of spread per 10 points of marginweighted least squares slope of county spread on county margin, times 10counties in the analysis sample with at least 5 reporting units2024 presidential general election95% CI 0.8 to 1.42,853none (full counts); counties weighted by their two-party votesPrecinct presidential returns95% interval from a county bootstrap (2,000 replicates, seed 12345).
    slope_step10points of two-party margindefinitiondefinition used in this chapter2024 presidential general electionnone (definition)Precinct presidential returnsStep in county margin for the slope of spread on margin.
    unit_ca_per_county578precincts per countymean count of reporting units per countyCalifornia counties in the analysis sample2024 presidential general electionnone (full counts)Precinct presidential returns
    unit_med_max2,083two-party votes per precinctmedian precinct sizeConnecticut precincts in the analysis sample2024 presidential general election756none (full counts)Precinct presidential returns
    unit_med_min227two-party votes per precinctmedian precinct sizeKansas precincts in the analysis sample2024 presidential general election3,737none (full counts)Precinct presidential returns
    unit_nd_per_county7precincts per countymean count of reporting units per countyNorth Dakota counties in the analysis sample2024 presidential general electionnone (full counts)Precinct presidential returns
    votes_sample149.0 milliontwo-party votessum of Democratic and Republican votestwo-party presidential votes in the analysis sample (counties whose precinct rows match the certified total; Alaska left out)2024 presidential general electionnone (full counts)Precinct presidential returns
    votes_sd3018.7%percent of two-party votesshare of the votes of these counties cast in counties with a spread of 30 or morecounties in the analysis sample with at least 5 reporting units2024 presidential general electionnone (full counts); counties weighted by their two-party votesPrecinct presidential returns

    Definitions

    Precinct
    The smallest area for which election officials report votes, usually the voters assigned to one polling place. Precinct boundaries change between elections, so the same precinct cannot be followed over time.
    Standard deviation
    A measure of how far values typically fall from their average. A larger standard deviation means the values are more spread out.
    County two-party margin
    The Democratic vote minus the Republican vote, divided by the sum of the two, so a positive value is a Democratic lead. Votes for other candidates are left out.
    Percentage point
    The unit for the difference between two percentages. A change from one share to another is stated in points, not in percent, so that absolute and relative change are not confused.
    Rural-Urban Continuum Code
    A USDA scheme that sorts counties into nine classes, from large metropolitan areas to remote rural ones, by population size and nearness to a metropolitan area. The 2013 and 2023 editions classify some counties differently.
    Correlation
    A number from minus 1 to plus 1 for how closely two measures move together in a straight-line pattern. Zero means no straight-line pattern; a correlation does not say that one measure causes the other.
    Fixed effects
    Regression terms that give each group, such as each country or each year, its own baseline. The other coefficients then compare respondents within the same group.
    Ecological inference
    Drawing a conclusion about individuals from data on groups or places, such as counties. A pattern across counties can differ from the pattern among the people who live in them.

    Methods

    Sample: the 2024 presidential returns in the MIT Election Data and Science Lab precinct file, two-party votes per reporting unit (Democratic: Harris; Republican: Trump; write-ins and other candidates left out) from b3.load.precinct_two_party, which takes a precinct's TOTAL row where the state reports one and otherwise adds the rows for each voting mode. A 'precinct' is the unit the state or county election office reports, so it varies in size and kind by state. Rules applied in order: units with no two-party vote or a negative count are dropped (15,602 units, three of them Michigan statistical adjustments); Alaska is dropped (523 units; its 2024 county codes are election districts); 4 units with no county code are dropped; 123 Kansas City units are moved from code 36000 to 2938000, the code of the county file; a county is kept only when its precinct rows add to between 95% and 105% of its certified two-party vote in the repaired county file, which removes 70 counties (64 Louisiana parishes, where the precinct rows hold about 52% of the certified vote, and 6 others, four of them with rows that appear twice, in Bergen and Gloucester, NJ, and Hendricks and St. Joseph, IN). The analysis sample is 175,345 units, 148,953,406 two-party votes and 3,043 counties in 48 states and the District of Columbia; the 70 excluded counties hold 2.0% of the certified votes and Alaska a further 0.2%. Estimands: a precinct or county margin is 100 times the Democratic minus the Republican votes over their sum; the spread of a county is the standard deviation of its precinct margins about the county margin, weighted by each precinct's two-party votes (population divisor), and needs at least 5 reporting units; the spread expected from chance is 200 times the square root of p(1 - p) times the number of units over the votes, with p the Democratic two-party share, which is the spread if each voter were assigned to a unit at random. Near-tied counties have a margin below 5 points in absolute value and at least 20 precincts. Shares of votes in bands use exact tests on vote counts (a margin of 20 points or more is 5 |D - R| >= D + R). Random-assignment benchmark for the shares in bands: 200 simulated assignments (seed 12345) in which each precinct keeps its two-party votes and its county's Democratic share and its Democratic votes are a binomial draw; the figure shows the mean of the runs, and the largest range of a share across runs is 0.4 points. County correlations are weighted by two-party votes unless the text says each county is counted once; holding county size fixed removes the linear effect of the log of two-party votes and the log of the number of units, and holding state fixed removes each state's weighted mean from every variable (equal to a regression with state dummies). The slope of spread on margin is the coefficient of a weighted regression with the same controls, per 10 points of margin. Counties within 50 points have a margin of 50 points or less in absolute value; the correlation of spread with distance from an even split is also computed at cutoffs of 30, 40, 60 and 70 points and across all counties, weighted and counting each county once, each with no controls, with county size fixed and with size and state fixed; the correlation of spread with lean is computed weighted and counting each county once, with the same three sets of controls. Binned means use 10-point bins of county margin and need 10 counties. Place types use the USDA Rural-Urban Continuum Code, 2023 edition (1; 2 and 3; 4 to 7; 8 and 9); nonwhite share is 100 minus the non-Hispanic white share (ACS 2024) and rural share is the share of residents outside 2020 census urban areas, both from the county demographics panel, which has no values for the Connecticut counties, Kansas City, Missouri, and Oglala Lakota County, South Dakota. Weights: none from a survey, because the returns are full counts; statistics are weighted by two-party votes as stated. Intervals: the returns have no sampling error, so shares, counts and county spreads carry no interval; a correlation, a slope, a mean or a median across a set of counties has a 95% percentile interval from a county bootstrap (2,000 replicates, seed 12345); the interval for the difference between two bins of county margin resamples the counties of each bin separately, and a state mean resamples the counties of the state. Side check: dropping the units labelled as absentee, provisional, early voting, mail, failsafe, military, overseas and statistical-adjustment units (870 units, found by these words in the label: absen(tee), abs, provisional, prov, early voting, early vote, earlyvote, early on its own, EV, mail, statistical adjustments, military, overseas, failsafe) and the counties where they hold 20% of the votes or more leaves 2,721 counties with a spread; the results are printed beside the full-sample values in the section on what the data cannot show. Suppression: no county with fewer than 5 reporting units enters a spread statistic; no other cell is suppressed. Everything is a 2024 cross-section.

    What these data cannot show

    • The chapter describes one election.
    • It says nothing about whether precinct margins are spreading or narrowing, and it makes no comparison with earlier years.
    • Planned, Sorting by geographic scale, 2016 to 2024 (https://vishalsingh.org/politics/sorting-by-geographic-scale; planned), a planned chapter, will compare precincts across elections, and Chapter 6.1, Nationalization of the county vote (https://vishalsingh.org/politics/nationalization-of-the-county-vote) measures how closely county results move together from one election to the next.
    • A precinct is a reporting unit and not a neighborhood.
    • The file has no boundaries, so the data cannot say which precincts are adjacent, and a county with a wide spread need not have opposed precincts next to each other.
    • Units also differ in kind.
    • Units labelled absentee, provisional, early voting, mail, failsafe, military or overseas, and units labelled as statistical adjustments, hold 1.5% of votes across 870 units, and they are buckets of ballots and not places.
    • Table 9 repeats the main statistics without them and without the counties where they hold 20% of votes or more.
    • That leaves 2,721 counties with a spread and 106 near-tied counties, against 111 in the full sample.
    • Table 9.
    • Dropping ballot-bucket units moves each correlation by at most 0.02 and each vote share by at most 0.3 points
    • A precinct margin describes a place and not the voters in it.
    • A precinct that gave one party 60% or more still holds voters of the other.
    • Ecological inference, which moves from places to individuals, can fail, because a pattern across places can differ from the pattern among individuals [5].
    • The results also depend on the units.
    • Shares and spreads change with the size and shape of the areas, a problem known as the modifiable areal unit problem [6], and this chapter uses the units that election offices happened to report.
    • The 64 Louisiana parishes, the 6 other counties and Alaska that are left out are not a random set.
    • The cutoffs for near-tied counties and for a wide spread are choices, and so are the vote weights and the 50-point cutoff behind the correlation of spread with distance from an even split.
    • That correlation is near zero only in the vote-weighted comparisons within 50 points or less.
    • A single spread cannot tell a county with two humps from a county with a long tail.
    • The random-assignment benchmark holds each unit's size and its county's margin fixed and does not model why voters differ across precincts.
    • Nothing here identifies why spread is wider in some counties.
    • It goes with lean, size, nonwhite share and place type, and the controls are few and linear.

    References

    1. Bishop, Bill; Cushing, Robert G. (2008). The Big Sort: Why the Clustering of Like-Minded America Is Tearing Us Apart. Houghton Mifflin.
    2. Abrams, Samuel J.; Fiorina, Morris P. (2012). "The Big Sort" That Wasn't: A Skeptical Reexamination. PS: Political Science and Politics 45(2): 203-210. doi:10.1017/S1049096512000017
    3. Brown, Jacob R.; Enos, Ryan D. (2021). The Measurement of Partisan Sorting for 180 Million Voters. Nature Human Behaviour 5: 998-1008. doi:10.1038/s41562-021-01066-z
    4. Rodden, Jonathan A. (2019). Why Cities Lose: The Deep Roots of the Urban-Rural Political Divide. Basic Books.
    5. Robinson, W. S. (1950). Ecological Correlations and the Behavior of Individuals. American Sociological Review 15(3): 351-357.
    6. Openshaw, Stan (1984). The Modifiable Areal Unit Problem. Concepts and Techniques in Modern Geography 38, Norwich: Geo Books.

    Provenance

    Pipeline version
    1.0.0
    Build script
    book3/chapters/precincts-within-counties/build.py (sha256 6ee74aa11054b92466524b4220c8cb6f1c7b699f116c5ba88fdf1807d0399232)
    Built on
    2026-09-30
    Site commit
    16414b2c7257546a7042d0b1734657f208999f60

    Inputs

    FileSize (bytes)SHA-256, first 1 MBSHA-256, last 1 MB
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    data/county/pres_county_2000_2024.parquet5,622,62589e55d8bb32746282a8a0880a7d0e82892acf449eaea71ac1aa7466cc9b0cc23d6c6a14fdff6f54e9ee88e46c71dce64ee40b940e050f92d18540e4889f4a0f3
    data/precinct/pres_precinct_2016_2020_2024.parquet12,200,11553917fd567a1a7267fb02b7f7c0f229d3b251f32be472968a3fd4577653b49567868d4ba4664ffc59db2f5966b3f8812b455b6ab9d8bd52781768a925552efd3

    Outputs

    FileSHA-256
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    figures/county_sd_map.json580882435f9a85273f55857706f49cf5508aae9e94b6e74cee02c2e019b63f26
    figures/dispersion_partials.jsonc5284a237834227b33ae4e818434b3d324f472cd0d0016b6884cd8a101a4260a
    figures/example_counties.json32e2dc507cf27a8d8ef8e47f8aa8352b11ff9a886f1872af7d6c9f5eb07a8232
    figures/ext_by_cutoff.jsoncb056155db52387ece816472721c76e8257657306cfee99fea7feb8c50269768
    figures/landslide_shares.json4140795df5735dc90b90f59f9edb9f3430b121cad17b9da46a23dd3f21474b4a
    figures/near_tied_sd.json5e3c59449bdd3e963161dde8b8b0d3a10bb423c20f4474e0d72bfd7606dff632
    figures/sd_by_margin.jsond99808d3ebcbffbda1bc79e7c17d8ac7e8904b4fc3cf0ec8a8cbf85473d4ccb7
    figures/sd_by_place_type.json7703748d9a9d0d0201bf1339f7572ff87568f0601f0640f02904922db6535f94
    figures/side_check.json1341b4adf2a5a5ba4213bcec84f760b77c5a1c3cc3c38126e6ecb80d5056d13a
    meta.jsone260af1fb522731536555d015f996b818ab3c4e075fb043f1f9c2ef3c42535c0
    public/data/precincts-within-counties/county_sd_map.jsoneb9534e8c372ae01eb2b210f6b3fcff02124f3cfd187128d4fe4d31e4075f66c
    refs.json599f99d0ff52632f0953ee9d7ed096112f2155d3d572417ab8ae566107896f1a

    Machine formats