{
  "alt": "Two bar charts of the share of the score's variance carried by each of the rebuilt measures, in the same order. In raw units home value and family income have long bars and the other measures have bars too short to see; in standard deviation units every measure has a bar and none is as long as the raw home value bar.",
  "caption": "In raw units two bars, home value and family income, hold {fact:hv_inc_var_share} of the variance between them, and after standardization the bars are spread over the measures. A bar is the covariance of a measure's term in the score with the score, divided by the variance of the score, so each covariance between two terms is shared equally between them and the bars add to the whole of the variance; whiskers are 95% intervals from a bootstrap over counties. The tabs share one order and one axis.",
  "data": [],
  "id": "variance_by_measure",
  "notes": [
    "Raw units: dollars for the four dollar measures, proportions between zero and one for the rest, and the log ratio for income disparity, as the Atlas applies Singh's coefficients. Standardized: each measure minus its population-weighted mean over its population-weighted standard deviation.",
    "The two measures that are not rebuilt (high school diploma and internet access) are proportions, so in raw units they would add little to the variance of the score."
  ],
  "source": "ACS 2019-2023 five-year tract estimates (staged ACS file and Census API pull of housing measures); Singh (2003) coefficients; population-weighted (ACS tract population)",
  "spec": {
    "panels": [
      {
        "figure": {
          "alt": "Bar chart of variance shares in raw units: home value is by far the longest bar, family income a distant second, and the other measures are too short to see.",
          "caption": "Home value's bar is the longest and family income's the second; every other bar is nearly zero.",
          "data": [
            {
              "conf_high": 86.9925,
              "conf_low": 83.0786,
              "measure": "Home value",
              "n": 75717,
              "share": 85.3963
            },
            {
              "conf_high": 16.5167,
              "conf_low": 12.6443,
              "measure": "Family income",
              "n": 75717,
              "share": 14.2251
            },
            {
              "conf_high": 0.245364,
              "conf_low": 0.21295,
              "measure": "Mortgage cost",
              "n": 75717,
              "share": 0.22629
            },
            {
              "conf_high": 0.164222,
              "conf_low": 0.143224,
              "measure": "Gross rent",
              "n": 75717,
              "share": 0.152033
            },
            {
              "conf_high": 0.000221206,
              "conf_low": 0.000139702,
              "measure": "Income disparity",
              "n": 75717,
              "share": 0.000172321
            },
            {
              "conf_high": 4.18764e-05,
              "conf_low": 3.22718e-05,
              "measure": "White-collar jobs",
              "n": 75717,
              "share": 3.59534e-05
            },
            {
              "conf_high": 3.25994e-05,
              "conf_low": 2.18443e-05,
              "measure": "Below 150% of poverty",
              "n": 75717,
              "share": 2.6018e-05
            },
            {
              "conf_high": 1.85547e-05,
              "conf_low": 1.20619e-05,
              "measure": "Poverty",
              "n": 75717,
              "share": 1.45643e-05
            },
            {
              "conf_high": 7.33032e-06,
              "conf_low": 5.32748e-06,
              "measure": "Single parents",
              "n": 75717,
              "share": 6.1143e-06
            },
            {
              "conf_high": 4.49646e-06,
              "conf_low": 1.56473e-06,
              "measure": "Under 9 years of school",
              "n": 75717,
              "share": 2.77064e-06
            },
            {
              "conf_high": 2.22147e-06,
              "conf_low": 1.51609e-06,
              "measure": "No plumbing",
              "n": 75717,
              "share": 1.78764e-06
            },
            {
              "conf_high": 2.57701e-06,
              "conf_low": 9.82072e-07,
              "measure": "Unemployment",
              "n": 75717,
              "share": 1.65469e-06
            },
            {
              "conf_high": 6.11068e-06,
              "conf_low": -2.67909e-06,
              "measure": "Homeownership",
              "n": 75717,
              "share": 9.31039e-07
            },
            {
              "conf_high": 4.38202e-07,
              "conf_low": -1.13403e-06,
              "measure": "Crowding",
              "n": 75717,
              "share": -4.8299e-07
            },
            {
              "conf_high": 2.69553e-06,
              "conf_low": -7.69162e-06,
              "measure": "No vehicle",
              "n": 75717,
              "share": -2.01739e-06
            }
          ],
          "id": "variance_raw",
          "spec": {
            "category": "measure",
            "categoryLabel": "Measure",
            "domain": [
              0,
              100
            ],
            "format": {
              "digits": 1
            },
            "hi": "conf_high",
            "lo": "conf_low",
            "n": "n",
            "orientation": "h",
            "sort": "data",
            "value": "share",
            "valueLabel": "Share of the score's variance (percent)"
          },
          "subtitle": "Share of the variance of the score in raw units allocated to each measure, percent",
          "title": "In raw units home value and family income carry {fact:hv_inc_var_share} of the variance of the score between them",
          "type": "bar"
        },
        "label": "Raw units"
      },
      {
        "figure": {
          "alt": "Bar chart of variance shares in standard deviation units: every measure has a visible bar, the longest is the near-poverty share, and home value's bar is short.",
          "caption": "Bars run across all the measures, with the near-poverty share and the poverty rate among the longest.",
          "data": [
            {
              "conf_high": 5.67995,
              "conf_low": 4.96113,
              "measure": "Home value",
              "n": 75717,
              "share": 5.30138
            },
            {
              "conf_high": 11.4338,
              "conf_low": 11.062,
              "measure": "Family income",
              "n": 75717,
              "share": 11.2637
            },
            {
              "conf_high": 6.85592,
              "conf_low": 6.13668,
              "measure": "Mortgage cost",
              "n": 75717,
              "share": 6.50284
            },
            {
              "conf_high": 6.63889,
              "conf_low": 6.30874,
              "measure": "Gross rent",
              "n": 75717,
              "share": 6.47475
            },
            {
              "conf_high": 8.01796,
              "conf_low": 7.64535,
              "measure": "Income disparity",
              "n": 75717,
              "share": 7.8374
            },
            {
              "conf_high": 9.23036,
              "conf_low": 8.89208,
              "measure": "White-collar jobs",
              "n": 75717,
              "share": 9.082
            },
            {
              "conf_high": 12.6159,
              "conf_low": 12.1683,
              "measure": "Below 150% of poverty",
              "n": 75717,
              "share": 12.4095
            },
            {
              "conf_high": 11.0491,
              "conf_low": 10.6741,
              "measure": "Poverty",
              "n": 75717,
              "share": 10.8791
            },
            {
              "conf_high": 5.97887,
              "conf_low": 5.66246,
              "measure": "Single parents",
              "n": 75717,
              "share": 5.82859
            },
            {
              "conf_high": 6.26208,
              "conf_low": 5.78579,
              "measure": "Under 9 years of school",
              "n": 75717,
              "share": 6.02752
            },
            {
              "conf_high": 2.7341,
              "conf_low": 2.50263,
              "measure": "No plumbing",
              "n": 75717,
              "share": 2.61795
            },
            {
              "conf_high": 5.29674,
              "conf_low": 4.90634,
              "measure": "Unemployment",
              "n": 75717,
              "share": 5.11393
            },
            {
              "conf_high": 4.34005,
              "conf_low": 3.97456,
              "measure": "Homeownership",
              "n": 75717,
              "share": 4.16313
            },
            {
              "conf_high": 3.21524,
              "conf_low": 2.76444,
              "measure": "Crowding",
              "n": 75717,
              "share": 2.99839
            },
            {
              "conf_high": 4.47307,
              "conf_low": 2.71371,
              "measure": "No vehicle",
              "n": 75717,
              "share": 3.49988
            }
          ],
          "id": "variance_std",
          "spec": {
            "category": "measure",
            "categoryLabel": "Measure",
            "domain": [
              0,
              100
            ],
            "format": {
              "digits": 1
            },
            "hi": "conf_high",
            "lo": "conf_low",
            "n": "n",
            "orientation": "h",
            "sort": "data",
            "value": "share",
            "valueLabel": "Share of the score's variance (percent)"
          },
          "subtitle": "Share of the variance of the score in standard deviation units allocated to each measure, percent",
          "title": "After standardization no measure carries more than {fact:max_share_std} of the variance of the score",
          "type": "bar"
        },
        "label": "Standardized"
      }
    ]
  },
  "subtitle": "Share of the population-weighted variance of the replica score allocated to each measure, same coefficients, measures in raw units and in standard deviation units, {fact:n_tracts} tracts",
  "title": "In raw units home value accounts for {fact:hv_own_share} of the variance of the score on its own and {fact:hv_share} with its covariance with income shared out, against {fact:hv_share_std} after standardization",
  "type": "tabs",
  "width": "wide"
}