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@LittleHelicase
Created November 8, 2020 11:25
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// data from washington post
const electionData = require('./election_2020_06_11_19_25.json');
const benfordslaw = require('benfordslaw');
// console.log(electionData);
function traverse(o,func) {
for (var i in o) {
func.apply(this,[i,o[i]]);
if (o[i] !== null && typeof(o[i])=="object") {
//going one step down in the object tree!!
traverse(o[i],func);
}
}
}
const numbers = [];
traverse(electionData, (key, value) => {
if (typeof value == 'number') {
numbers.push(value);
}
});
const benfords = new benfordslaw.BenfordsLaw(numbers)
const chiSquared = benfords.getChiSquared();
const probability = benfords.getProbability().toFixed(1);
console.log("chi squared", chiSquared)
console.log('probability that election data follows benford', probability);
//console.log(numbers);
{"2020-11-03_OK_G_P": {"lastUpdated": "2020-11-04T10:43:23Z", "precinctsReportingPct": 94.8665297741273, "id": "2020-11-03_OK_G_P", "calledFor": ["8639"], "source": "edison", "expectedVotes": 1630000, "counts": {"20073902": 5590, "20073904": 3650, "20073903": 2542, "1036": 503289, "20062680": 24686, "8639": 1018870}, "records": [{"lastUpdated": "2020-11-03T06:56:54Z", "precinctsReportingPct": 0, "counts": {"20073902": 0, "20073904": 0, "20073903": 0, "1036": 0, "20062680": 0, "8639": 0}}, {"lastUpdated": "2020-11-04T01:59:04Z", "precinctsReportingPct": 39.630390143737166, "counts": {"20073902": 1669, "20073904": 1416, "20073903": 1010, "1036": 249941, "20062680": 8835, "8639": 362509}}, {"lastUpdated": "2020-11-04T02:04:03Z", "precinctsReportingPct": 45.12320328542094, "counts": {"20073902": 2021, "20073904": 1645, "20073903": 1149, "1036": 273576, "20062680": 10259, "8639": 422524}}, {"lastUpdated": "2020-11-04T02:10:14Z", "precinctsReportingPct": 50.46201232032854, "counts": {"20073902": 2361, "20073904": 1858, "20073903": 1274, "1036": 295639, "20062680": 11564, "8639": 478133}}, {"lastUpdated": "2020-11-04T02:15:02Z", "precinctsReportingPct": 55.64681724845995, "counts": {"20073902": 2665, "20073904": 2014, "20073903": 1375, "1036": 312425, "20062680": 12790, "8639": 531959}}, {"lastUpdated": "2020-11-04T02:23:42Z", "precinctsReportingPct": 61.90965092402464, "counts": {"20073902": 3111, "20073904": 2268, "20073903": 1575, "1036": 340736, "20062680": 14640, "8639": 606707}}, {"lastUpdated": "2020-11-04T02:28:21Z", "precinctsReportingPct": 67.35112936344969, "counts": {"20073902": 3334, "20073904": 2400, "20073903": 1669, "1036": 354303, "20062680": 15572, "8639": 653929}}, {"lastUpdated": "2020-11-04T02:34:40Z", "precinctsReportingPct": 69.60985626283367, "counts": {"20073902": 3526, "20073904": 2491, "20073903": 1743, "1036": 365818, "20062680": 16255, "8639": 687064}}, {"lastUpdated": "2020-11-04T02:40:14Z", "precinctsReportingPct": 73.71663244353182, "counts": {"20073902": 3810, "20073904": 2669, "20073903": 1890, "1036": 384273, "20062680": 17605, "8639": 744939}}, {"lastUpdated": "2020-11-04T02:44:33Z", "precinctsReportingPct": 75.82135523613964, "counts": {"20073902": 3968, "20073904": 2749, "20073903": 1953, "1036": 393483, "20062680": 18209, "8639": 773284}}, {"lastUpdated": "2020-11-04T02:51:25Z", "precinctsReportingPct": 77.6694045174538, "counts": {"20073902": 4113, "20073904": 2827, "20073903": 2011, "1036": 403234, "20062680": 18815, "8639": 794697}}, {"lastUpdated": "2020-11-04T02:59:33Z", "precinctsReportingPct": 81.00616016427105, "counts": {"20073902": 4388, "20073904": 2985, "20073903": 2107, "1036": 419990, "20062680": 19921, "8639": 839346}}, {"lastUpdated": "2020-11-04T03:05:08Z", "precinctsReportingPct": 82.18685831622177, "counts": {"20073902": 4443, "20073904": 3021, "20073903": 2134, "1036": 423685, "20062680": 20180, "8639": 853464}}, {"lastUpdated": "2020-11-04T03:09:31Z", "precinctsReportingPct": 83.11088295687885, "counts": {"20073902": 4551, "20073904": 3057, "20073903": 2160, "1036": 429056, "20062680": 20495, "8639": 866577}}, {"lastUpdated": "2020-11-04T03:16:31Z", "precinctsReportingPct": 84.59958932238193, "counts": {"20073902": 4691, "20073904": 3124, "20073903": 2213, "1036": 438710, "20062680": 21077, "8639": 887117}}, {"lastUpdated": "2020-11-04T03:26:19Z", "precinctsReportingPct": 85.31827515400411, "counts": {"20073902": 4751, "20073904": 3159, "20073903": 2241, "1036": 443234, "20062680": 21346, "8639": 895905}}, {"lastUpdated": "2020-11-04T03:37:46Z", "precinctsReportingPct": 87.11498973305955, "counts": {"20073902": 4903, "20073904": 3253, "20073903": 2315, "1036": 454619, "20062680": 22028, "8639": 921806}}, {"lastUpdated": "2020-11-04T03:47:20Z", "precinctsReportingPct": 88.60369609856262, "counts": {"20073902": 5071, "20073904": 3335, "20073903": 2366, "1036": 464869, "20062680": 22587, "8639": 940868}}, {"lastUpdated": "2020-11-04T03:54:29Z", "precinctsReportingPct": 89.3223819301848, "counts": {"20073902": 5154, "20073904": 3386, "20073903": 2389, "1036": 471212, "20062680": 22894, "8639": 948788}}, {"lastUpdated": "2020-11-04T04:09:35Z", "precinctsReportingPct": 90.40041067761807, "counts": {"20073902": 5265, "20073904": 3453, "20073903": 2422, "1036": 478752, "20062680": 23308, "8639": 965841}}, {"lastUpdated": "2020-11-04T04:26:17Z", "precinctsReportingPct": 92.5564681724846, "counts": {"20073902": 5470, "20073904": 3581, "20073903": 2497, "1036": 493692, "20062680": 24156, "8639": 995562}}, {"lastUpdated": "2020-11-04T04:54:32Z", "precinctsReportingPct": 92.86447638603697, "counts": {"20073902": 5507, "20073904": 3601, "20073903": 2521, "1036": 496537, "20062680": 24299, "8639": 1000856}}, {"lastUpdated": "2020-11-04T05:18:31Z", "precinctsReportingPct": 93.73716632443532, "counts": {"20073902": 5553, "20073904": 3633, "20073903": 2537, "1036": 500721, "20062680": 24554, "8639": 1014154}}, {"lastUpdated": "2020-11-04T05:54:59Z", "precinctsReportingPct": 93.99383983572895, "counts": {"20073902": 5587, "20073904": 3643, "20073903": 2540, "1036": 502769, "20062680": 24668, "8639": 1018557}}]}, "2020-11-03_MA_G_P": {"lastUpdated": "2020-11-06T17:24:54Z", "precinctsReportingPct": 92.2263109475621, "id": "2020-11-03_MA_G_P", "calledFor": ["1036"], "source": "edison", "expectedVotes": 3725000, "counts": {"21303": 16223, "32916": 17508, "1036": 2236646, "20062680": 44222, "8639": 1112018}, "records": [{"lastUpdated": "2020-11-03T06:56:51Z", "precinctsReportingPct": 0, "counts": {"21303": 0, "32916": 0, "1036": 0, "20062680": 0, "8639": 0}}, {"lastUpdated": "2020-11-04T02:21:59Z", "precinctsReportingPct": 4.875804967801288, "counts": {"21303": 937, "32916": 1013, "1036": 135257, "20062680": 2411, "8639": 53230}}, {"lastUpdated": "2020-11-04T02:37:36Z", "precinctsReportingPct": 9.06163753449862, "counts": {"21303": 1548, "32916": 1779, "1036": 247067, "20062680": 4515, "8639": 103070}}, {"lastUpdated": "2020-11-04T03:08:34Z", "precinctsReportingPct": 13.753449862005521, "counts": {"21303": 2150, "32916": 2592, "1036": 351519, "20062680": 6902, "8639": 163123}}, {"lastUpdated": "2020-11-04T03:20:28Z", "precinctsReportingPct": 17.985280588776448, "counts": {"21303": 3166, "32916": 3501, "1036": 470247, "20062680": 9376, "8639": 222525}}, {"lastUpdated": "2020-11-04T03:36:37Z", "precinctsReportingPct": 22.171113155473783, "counts": {"21303": 3834, "32916": 4363, "1036": 578866, "20062680": 11253, "8639": 273503}}, {"lastUpdated": "2020-11-04T03:53:55Z", "precinctsReportingPct": 29.668813247470098, "counts": {"21303": 5325, "32916": 5681, "1036": 762476, "20062680": 14423, "8639": 356577}}, {"lastUpdated": "2020-11-04T03:59:40Z", "precinctsReportingPct": 32.29070837166513, "counts": {"21303": 6055, "32916": 6414, "1036": 818032, "20062680": 15926, "8639": 396804}}, {"lastUpdated": "2020-11-04T04:06:47Z", "precinctsReportingPct": 35.694572217111315, "counts": {"21303": 6789, "32916": 7138, "1036": 915196, "20062680": 17976, "8639": 447278}}, {"lastUpdated": "2020-11-04T04:17:55Z", "precinctsReportingPct": 39.0524379024839, "counts": {"21303": 7431, "32916": 7872, "1036": 1009792, "20062680": 19561, "8639": 483561}}, {"lastUpdated": "2020-11-04T04:32:50Z", "precinctsReportingPct": 41.306347746090154, "counts": {"21303": 7744, "32916": 8312, "1036": 1061694, "20062680": 20769, "8639": 512199}}, {"lastUpdated": "2020-11-04T05:06:28Z", "precinctsReportingPct": 43.33026678932843, "counts": {"21303": 8024, "32916": 8772, "1036": 1111205, "20062680": 21910, "8639": 540913}}, {"lastUpdated": "2020-11-04T05:34:28Z", "precinctsReportingPct": 47.24011039558418, "counts": {"21303": 8657, "32916": 9352, "1036": 1196524, "20062680": 23720, "8639": 584309}}, {"lastUpdated": "2020-11-04T06:32:13Z", "precinctsReportingPct": 52.29990800367985, "counts": {"21303": 9454, "32916": 10452, "1036": 1324428, "20062680": 26334, "8639": 652102}}, {"lastUpdated": "2020-11-04T06:53:17Z", "precinctsReportingPct": 53.311867525298986, "counts": {"21303": 9662, "32916": 10642, "1036": 1350375, "20062680": 26904, "8639": 665536}}, {"lastUpdated": "2020-11-04T08:26:04Z", "precinctsReportingPct": 56.2557497700092, "counts": {"21303": 10107, "32916": 11218, "1036": 1424855, "20062680": 28392, "8639": 701730}}, {"lastUpdated": "2020-11-04T18:00:01Z", "precinctsReportingPct": 70.69917203311867, "counts": {"21303": 11871, "32916": 13189, "1036": 1703572, "20062680": 32410, "8639": 801827}}, {"lastUpdated": "2020-11-04T22:52:33Z", "precinctsReportingPct": 75.98896044158234, "counts": {"21303": 12920, "32916": 14258, "1036": 1842703, "20062680": 34812, "8639": 865674}}, {"lastUpdated": "2020-11-05T16:15:10Z", "precinctsReportingPct": 79.25482980680772, "counts": {"21303": 14136, "32916": 14976, "1036": 1942970, "20062680": 37204, "8639": 920792}}, {"lastUpdated": "2020-11-05T19:18:45Z", "precinctsReportingPct": 83.30266789328427, "counts": {"21303": 14591, "32916": 15670, "1036": 2018433, "20062680": 38994, "8639": 973767}}, {"lastUpdated": "2020-11-05T20:19:26Z", "precinctsReportingPct": 86.66053357865685, "counts": {"21303": 15020, "32916": 16239, "1036": 2087372, "20062680": 40356, "8639": 1009803}}, {"lastUpdated": "2020-11-05T20:45:17Z", "precinctsReportingPct": 89.28242870285189, "counts": {"21303": 15554, "32916": 16766, "1036": 2154559, "20062680": 42015, "8639": 1055479}}, {"lastUpdated": "2020-11-05T23:37:10Z", "precinctsReportingPct": 91.07635694572217, "counts": {"21303": 15855, "32916": 17254, "1036": 2209140, "20062680": 43403, "8639": 1089586}}, {"lastUpdated": "2020-11-06T01:32:35Z", "precinctsReportingPct": 91.99632014719411, "counts": {"21303": 15999, "32916": 17461, "1036": 2231100, "20062680": 44078, "8639": 1107738}}]}, "2020-11-03_MI_G_P": {"lastUpdated": "2020-11-06T18:23:36Z", "precinctsReportingPct": 98.0096501809409, "id": "2020-11-03_MI_G_P", "calledFor": ["1036"], "estimates": {"subunitGroupVoteShares": {"urban": {"DEM": {"lower_0.7": 773827, "raw_results": 773827, "upper_0.7": 773827, "pred": 773827, "upper_0.9": 773827, "lower_0.9": 773827}, "GOP": {"lower_0.7": 429467, "raw_results": 429467, "upper_0.7": 429467, "pred": 429467, "upper_0.9": 429467, "lower_0.9": 429467}}, "rural": {"DEM": {"lower_0.7": 641007, "raw_results": 641007, "upper_0.7": 646479.0338, "pred": 641216.7516, "upper_0.9": 656441.962, "lower_0.9": 641007}, "GOP": {"lower_0.7": 952125, "raw_results": 952125, "upper_0.7": 955818.4908, "pred": 953018.3653, "upper_0.9": 960733.4334, "lower_0.9": 952125}}, "suburban": {"DEM": {"lower_0.7": 1380019, "raw_results": 1380019, "upper_0.7": 1404219.3598, "pred": 1383375.9565, "upper_0.9": 1422860.2601, "lower_0.9": 1380019}, "GOP": {"lower_0.7": 1265364, "raw_results": 1265364, "upper_0.7": 1272841.4201, "pred": 1265930.6747, "upper_0.9": 1277919.6692, "lower_0.9": 1265364}}}, "votes": {"lower_0.7": 5530390, "upper_0.7": 5544486.509, "pred": 5530671.422, "upper_0.9": 5572218.0983, "lower_0.9": 5530390}, "voteShares": {"DEM": {"lower_0.7": 2794853, "upper_0.7": 2824525.3935, "pred": 2798419.708, "upper_0.9": 2853129.2221, "lower_0.9": 2794853}, "GOP": {"lower_0.7": 2646956, "upper_0.7": 2658126.9109, "pred": 2648416.0401, "upper_0.9": 2668120.1026, "lower_0.9": 2646956}}}, "source": "edison", "expectedVotes": 5550000, "counts": {"19247": 7319, "21303": 4189, "64542": 2992, "1036": 2794853, "32916": 13697, "20062680": 60384, "8639": 2646956}, "records": [{"lastUpdated": "2020-11-03T01:31:59Z", "precinctsReportingPct": 0, "counts": {"19247": 0, "21303": 0, "64542": 0, "1036": 0, "32916": 0, "20062680": 0, "8639": 0}}, {"lastUpdated": "2020-11-04T02:16:23Z", "precinctsReportingPct": 17.973462002412546, "counts": {"19247": 2100, "21303": 1571, "64542": 958, "1036": 372173, "32916": 3304, "20062680": 14565, "8639": 575448}}, {"lastUpdated": "2020-11-04T02:37:34Z", "precinctsReportingPct": 20.10454362685967, "counts": {"19247": 2289, "21303": 1841, "64542": 1032, "1036": 429276, "32916": 3606, "20062680": 16289, "8639": 644716}}, {"lastUpdated": "2020-11-04T02:57:01Z", "precinctsReportingPct": 22.456775231202254, "counts": {"19247": 1491, "21303": 2131, "64542": 699, "1036": 518605, "32916": 3425, "20062680": 17295, "8639": 745298}}, {"lastUpdated": "2020-11-04T03:16:36Z", "precinctsReportingPct": 33.092078809811014, "counts": {"19247": 1980, "21303": 2393, "64542": 968, "1036": 721983, "32916": 4537, "20062680": 21097, "8639": 900956}}, {"lastUpdated": "2020-11-04T03:31:40Z", "precinctsReportingPct": 36.5902694008846, "counts": {"19247": 2310, "21303": 2488, "64542": 1100, "1036": 820307, "32916": 5094, "20062680": 23874, "8639": 1032830}}, {"lastUpdated": "2020-11-04T03:46:27Z", "precinctsReportingPct": 41.01326899879373, "counts": {"19247": 2646, "21303": 2083, "64542": 1230, "1036": 926185, "32916": 5652, "20062680": 26802, "8639": 1165918}}, {"lastUpdated": "2020-11-04T04:02:12Z", "precinctsReportingPct": 42.6216324889425, "counts": {"19247": 2779, "21303": 2457, "64542": 1290, "1036": 973310, "32916": 5860, "20062680": 27939, "8639": 1214363}}, {"lastUpdated": "2020-11-04T04:11:26Z", "precinctsReportingPct": 44.993968636911944, "counts": {"19247": 2957, "21303": 2562, "64542": 1353, "1036": 1020661, "32916": 6143, "20062680": 29585, "8639": 1283895}}, {"lastUpdated": "2020-11-04T04:27:16Z", "precinctsReportingPct": 47.68797748291114, "counts": {"19247": 3182, "21303": 2685, "64542": 1449, "1036": 1093814, "32916": 6487, "20062680": 31632, "8639": 1366009}}, {"lastUpdated": "2020-11-04T04:42:17Z", "precinctsReportingPct": 49.115400080418176, "counts": {"19247": 3315, "21303": 2777, "64542": 1510, "1036": 1134541, "32916": 6731, "20062680": 32516, "8639": 1416224}}, {"lastUpdated": "2020-11-04T04:55:49Z", "precinctsReportingPct": 50.88459991958183, "counts": {"19247": 3481, "21303": 3464, "64542": 1567, "1036": 1188713, "32916": 6971, "20062680": 33885, "8639": 1476160}}, {"lastUpdated": "2020-11-04T05:12:26Z", "precinctsReportingPct": 54.28226779252111, "counts": {"19247": 3776, "21303": 3003, "64542": 1671, "1036": 1287569, "32916": 7423, "20062680": 36096, "8639": 1579252}}, {"lastUpdated": "2020-11-04T05:31:53Z", "precinctsReportingPct": 56.45355850422196, "counts": {"19247": 3941, "21303": 4056, "64542": 1741, "1036": 1350804, "32916": 7702, "20062680": 37464, "8639": 1646470}}, {"lastUpdated": "2020-11-04T05:53:51Z", "precinctsReportingPct": 58.7253719340571, "counts": {"19247": 4278, "21303": 4368, "64542": 1816, "1036": 1449965, "32916": 8092, "20062680": 39125, "8639": 1724471}}, {"lastUpdated": "2020-11-04T06:09:58Z", "precinctsReportingPct": 61.1178126256534, "counts": {"19247": 4426, "21303": 4426, "64542": 1861, "1036": 1490144, "32916": 8307, "20062680": 40203, "8639": 1778883}}, {"lastUpdated": "2020-11-04T06:36:46Z", "precinctsReportingPct": 64.15359871330921, "counts": {"19247": 4602, "21303": 4810, "64542": 1921, "1036": 1555541, "32916": 8576, 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