{
  "alt": "A six by six grid of rank correlations. The published ADI and its raw-units replica are almost perfectly correlated, the standardized replica and the principal component are almost perfectly correlated, and the SVI theme and poverty rate correlate strongly with the standardized rankings and only moderately with the published ADI.",
  "caption": "Two blocks stand out: the published ADI with its raw-units replica at top left, and the standardized score with its principal component, the SVI theme and the poverty rate. Each cell is the correlation between the percentile ranks of two rankings across tracts, weighted by tract population, with a 95% interval from a bootstrap over counties. The replicas sum Singh's coefficients times the measures, in raw units or in standard deviation units; the principal component is the first of the standardized measures.",
  "data": [
    {
      "conf_high": null,
      "conf_low": null,
      "n": null,
      "other": "Published ADI",
      "r": 1,
      "ranking": "Published ADI"
    },
    {
      "conf_high": 0.992,
      "conf_low": 0.99,
      "n": 75717,
      "other": "Replica, raw units",
      "r": 0.991,
      "ranking": "Published ADI"
    },
    {
      "conf_high": 0.773,
      "conf_low": 0.659,
      "n": 75717,
      "other": "Replica, standardized",
      "r": 0.72,
      "ranking": "Published ADI"
    },
    {
      "conf_high": 0.8,
      "conf_low": 0.703,
      "n": 75717,
      "other": "First principal component",
      "r": 0.755,
      "ranking": "Published ADI"
    },
    {
      "conf_high": 0.556,
      "conf_low": 0.406,
      "n": 75717,
      "other": "SVI socioeconomic theme",
      "r": 0.485,
      "ranking": "Published ADI"
    },
    {
      "conf_high": 0.587,
      "conf_low": 0.486,
      "n": 75717,
      "other": "Poverty rate",
      "r": 0.539,
      "ranking": "Published ADI"
    },
    {
      "conf_high": 0.992,
      "conf_low": 0.99,
      "n": 75717,
      "other": "Published ADI",
      "r": 0.991,
      "ranking": "Replica, raw units"
    },
    {
      "conf_high": null,
      "conf_low": null,
      "n": null,
      "other": "Replica, raw units",
      "r": 1,
      "ranking": "Replica, raw units"
    },
    {
      "conf_high": 0.789,
      "conf_low": 0.68,
      "n": 75717,
      "other": "Replica, standardized",
      "r": 0.738,
      "ranking": "Replica, raw units"
    },
    {
      "conf_high": 0.817,
      "conf_low": 0.723,
      "n": 75717,
      "other": "First principal component",
      "r": 0.773,
      "ranking": "Replica, raw units"
    },
    {
      "conf_high": 0.575,
      "conf_low": 0.429,
      "n": 75717,
      "other": "SVI socioeconomic theme",
      "r": 0.506,
      "ranking": "Replica, raw units"
    },
    {
      "conf_high": 0.595,
      "conf_low": 0.496,
      "n": 75717,
      "other": "Poverty rate",
      "r": 0.548,
      "ranking": "Replica, raw units"
    },
    {
      "conf_high": 0.773,
      "conf_low": 0.659,
      "n": 75717,
      "other": "Published ADI",
      "r": 0.72,
      "ranking": "Replica, standardized"
    },
    {
      "conf_high": 0.789,
      "conf_low": 0.68,
      "n": 75717,
      "other": "Replica, raw units",
      "r": 0.738,
      "ranking": "Replica, standardized"
    },
    {
      "conf_high": null,
      "conf_low": null,
      "n": null,
      "other": "Replica, standardized",
      "r": 1,
      "ranking": "Replica, standardized"
    },
    {
      "conf_high": 0.998,
      "conf_low": 0.996,
      "n": 75717,
      "other": "First principal component",
      "r": 0.997,
      "ranking": "Replica, standardized"
    },
    {
      "conf_high": 0.866,
      "conf_low": 0.852,
      "n": 75717,
      "other": "SVI socioeconomic theme",
      "r": 0.859,
      "ranking": "Replica, standardized"
    },
    {
      "conf_high": 0.859,
      "conf_low": 0.843,
      "n": 75717,
      "other": "Poverty rate",
      "r": 0.851,
      "ranking": "Replica, standardized"
    },
    {
      "conf_high": 0.8,
      "conf_low": 0.703,
      "n": 75717,
      "other": "Published ADI",
      "r": 0.755,
      "ranking": "First principal component"
    },
    {
      "conf_high": 0.817,
      "conf_low": 0.723,
      "n": 75717,
      "other": "Replica, raw units",
      "r": 0.773,
      "ranking": "First principal component"
    },
    {
      "conf_high": 0.998,
      "conf_low": 0.996,
      "n": 75717,
      "other": "Replica, standardized",
      "r": 0.997,
      "ranking": "First principal component"
    },
    {
      "conf_high": null,
      "conf_low": null,
      "n": null,
      "other": "First principal component",
      "r": 1,
      "ranking": "First principal component"
    },
    {
      "conf_high": 0.85,
      "conf_low": 0.832,
      "n": 75717,
      "other": "SVI socioeconomic theme",
      "r": 0.841,
      "ranking": "First principal component"
    },
    {
      "conf_high": 0.853,
      "conf_low": 0.836,
      "n": 75717,
      "other": "Poverty rate",
      "r": 0.844,
      "ranking": "First principal component"
    },
    {
      "conf_high": 0.556,
      "conf_low": 0.406,
      "n": 75717,
      "other": "Published ADI",
      "r": 0.485,
      "ranking": "SVI socioeconomic theme"
    },
    {
      "conf_high": 0.575,
      "conf_low": 0.429,
      "n": 75717,
      "other": "Replica, raw units",
      "r": 0.506,
      "ranking": "SVI socioeconomic theme"
    },
    {
      "conf_high": 0.866,
      "conf_low": 0.852,
      "n": 75717,
      "other": "Replica, standardized",
      "r": 0.859,
      "ranking": "SVI socioeconomic theme"
    },
    {
      "conf_high": 0.85,
      "conf_low": 0.832,
      "n": 75717,
      "other": "First principal component",
      "r": 0.841,
      "ranking": "SVI socioeconomic theme"
    },
    {
      "conf_high": null,
      "conf_low": null,
      "n": null,
      "other": "SVI socioeconomic theme",
      "r": 1,
      "ranking": "SVI socioeconomic theme"
    },
    {
      "conf_high": 0.769,
      "conf_low": 0.753,
      "n": 75717,
      "other": "Poverty rate",
      "r": 0.761,
      "ranking": "SVI socioeconomic theme"
    },
    {
      "conf_high": 0.587,
      "conf_low": 0.486,
      "n": 75717,
      "other": "Published ADI",
      "r": 0.539,
      "ranking": "Poverty rate"
    },
    {
      "conf_high": 0.595,
      "conf_low": 0.496,
      "n": 75717,
      "other": "Replica, raw units",
      "r": 0.548,
      "ranking": "Poverty rate"
    },
    {
      "conf_high": 0.859,
      "conf_low": 0.843,
      "n": 75717,
      "other": "Replica, standardized",
      "r": 0.851,
      "ranking": "Poverty rate"
    },
    {
      "conf_high": 0.853,
      "conf_low": 0.836,
      "n": 75717,
      "other": "First principal component",
      "r": 0.844,
      "ranking": "Poverty rate"
    },
    {
      "conf_high": 0.769,
      "conf_low": 0.753,
      "n": 75717,
      "other": "SVI socioeconomic theme",
      "r": 0.761,
      "ranking": "Poverty rate"
    },
    {
      "conf_high": null,
      "conf_low": null,
      "n": null,
      "other": "Poverty rate",
      "r": 1,
      "ranking": "Poverty rate"
    }
  ],
  "id": "index_family",
  "notes": [
    "Each cell uses the tracts that have both rankings; pairs with the SVI socioeconomic theme use the tracts that also have an SVI value, and each cell's tooltip gives its tract count.",
    "The ranks are percentiles among those tracts, and each cell is the population-weighted Pearson correlation of the two percentile ranks (Spearman's rank correlation would count each tract once); the published ADI is the Atlas's block-group ranks averaged over each tract."
  ],
  "source": "Neighborhood Atlas ADI 2023; ACS 2019-2023; CDC/ATSDR Social Vulnerability Index 2022; population-weighted (ACS tract population) rank correlations",
  "spec": {
    "col": "other",
    "colOrder": [
      "Published ADI",
      "Replica, raw units",
      "Replica, standardized",
      "First principal component",
      "SVI socioeconomic theme",
      "Poverty rate"
    ],
    "hi": "conf_high",
    "lo": "conf_low",
    "n": "n",
    "row": "ranking",
    "rowOrder": [
      "Published ADI",
      "Replica, raw units",
      "Replica, standardized",
      "First principal component",
      "SVI socioeconomic theme",
      "Poverty rate"
    ],
    "scale": {
      "domain": [
        0.4,
        1
      ],
      "type": "sequential"
    },
    "showValues": true,
    "value": "r",
    "valueFormat": {
      "digits": 2
    }
  },
  "subtitle": "Population-weighted rank correlations among six rankings of 2020 tracts, measures from ACS 2019 to 2023",
  "title": "The published ADI correlates {fact:rho_unstd_adi} with its raw-units replica and {fact:rho_std_adi} with the standardized version of the same measures",
  "type": "heatmap",
  "width": "wide"
}