{ "scope": "Saved values only; no fit, new draws, threshold or adoption gate.", "quantile_method": "linear", "n": 100, "difference_definition": "max(A,V,S,J test score) minus W test score", "difference_nats_record": { "n": 100, "min": -0.37791797492536716, "q25": 0.0, "median": 0.2089570092421127, "q75": 0.5492669494697111, "p95": 1.0229008861445434, "max": 2.2429005954218155 }, "difference_nats_cycle": { "n": 100, "min": -0.005904968358208862, "q25": 0.0, "median": 0.0032649532694080108, "q75": 0.008582296085464236, "p95": 0.01598282634600849, "max": 0.03504532180346587 }, "sign_counts": { "positive": 73, "zero": 24, "negative": 3 }, "single_nonwhite_winner_groups": { "A": { "n": 27, "pair_ids": [ 0, 5, 13, 21, 22, 25, 28, 35, 36, 41, 47, 48, 49, 52, 53, 55, 58, 59, 64, 68, 72, 78, 85, 86, 91, 94, 95 ], "winner_margin_nats_record": { "n": 27, "min": 0.0019912121788365766, "q25": 0.10954115032200207, "median": 0.27970317521067045, "q75": 0.6605487827600882, "p95": 1.140120650294557, "max": 1.445841488590304 }, "winner_margin_nats_cycle": { "n": 27, "min": 3.111269029432151e-05, "q25": 0.0017115804737812823, "median": 0.004370362112666726, "q75": 0.010321074730626378, "p95": 0.01781438516085245, "max": 0.0225912732592235 }, "strength_definition": "abs(a)", "strength": { "n": 27, "min": 0.0010378783130212852, "q25": 0.0041739420031219904, "median": 0.010363398175250485, "q75": 0.014757867257934178, "p95": 0.019574222836619578, "max": 0.027918526250304936 }, "directional_excess_eigenvalue_over_white": null }, "V": { "n": 23, "pair_ids": [ 4, 8, 9, 10, 24, 29, 32, 40, 42, 44, 50, 54, 61, 62, 76, 77, 80, 84, 90, 96, 97, 98, 99 ], "winner_margin_nats_record": { "n": 23, "min": 0.11718287799340033, "q25": 0.29368532639182376, "median": 0.44157051738511655, "q75": 0.7371296994424483, "p95": 1.6643732181648363, "max": 2.2429005954218155 }, "winner_margin_nats_cycle": { "n": 23, "min": 0.00183098246864688, "q25": 0.004588833224872246, "median": 0.006899539334142446, "q75": 0.011517651553788255, "p95": 0.026005831533825567, "max": 0.03504532180346587 }, "strength_definition": "sqrt(bc^2+bs^2)", "strength": { "n": 23, "min": 0.013411013255783793, "q25": 0.021178516439301923, "median": 0.03007560261387368, "q75": 0.03937243760314356, "p95": 0.059079822930579784, "max": 0.07861728771309291 }, "directional_excess_eigenvalue_over_white": null }, "S": { "n": 9, "pair_ids": [ 3, 14, 26, 34, 39, 57, 66, 79, 93 ], "winner_margin_nats_record": { "n": 9, "min": 0.02094649940408999, "q25": 0.12915857693587895, "median": 0.18327362495438138, "q75": 0.26392036595279933, "p95": 0.5591113970647711, "max": 0.6769569898842747 }, "winner_margin_nats_cycle": { "n": 9, "min": 0.0003272890531889061, "q25": 0.0020181027646231087, "median": 0.002863650389912209, "q75": 0.0041237557180124895, "p95": 0.008736115579137048, "max": 0.010577452966941792 }, "strength_definition": "tau2/sigma2", "strength": { "n": 9, "min": 0.00034928962514081994, "q25": 0.0007886071548489195, "median": 0.0014588183913415138, "q75": 0.0023710167283312786, "p95": 0.004751073744018366, "max": 0.005307928511466881 }, "directional_excess_eigenvalue_over_white": { "n": 9, "min": 0.022354536009012473, "q25": 0.05047085791033084, "median": 0.09336437704585687, "q75": 0.1517450706132018, "p95": 0.30406871961717535, "max": 0.3397074247338803 } }, "J": { "n": 14, "pair_ids": [ 11, 16, 19, 23, 30, 31, 33, 38, 43, 46, 67, 70, 83, 89 ], "winner_margin_nats_record": { "n": 14, "min": 0.004547039692624821, "q25": 0.05897081379771407, "median": 0.12765990545631212, "q75": 0.3835669874415544, "p95": 0.546842642575575, "max": 0.7044633017922024 }, "winner_margin_nats_cycle": { "n": 14, "min": 7.104749519726283e-05, "q25": 0.0009214189655892824, "median": 0.001994686022754877, "q75": 0.005993234178774287, "p95": 0.00854441629024336, "max": 0.011007239090503163 }, "strength_definition": "tau2/sigma2", "strength": { "n": 14, "min": 0.00023691855343655854, "q25": 0.0005005617022518186, "median": 0.000986784655559642, "q75": 0.0025071708663665293, "p95": 0.002900493569309326, "max": 0.002975758686277965 }, "directional_excess_eigenvalue_over_white": { "n": 14, "min": 0.015162787419939747, "q25": 0.03203594894411639, "median": 0.06315421795581709, "q75": 0.16045893544745787, "p95": 0.18563158843579686, "max": 0.19044855592178975 } } }, "rows": [ { "pair_id": 0, "scores_nats_record": { "W": 8348.336966913506, "A": 8348.606116318422, "V": 8348.088779801314, "S": 8347.394574509877, "J": 8348.336966913506 }, "max_nonwhite_minus_white_nats_record": 0.26914940491587913, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.26914940491587913 }, "parameters": { "W": { "sigma2": 0.0010003044603451318 }, "A": { "a": -0.0014745887408454128, "sigma2": 0.001000302284571871 }, "V": { "bc": -0.0011728015395219705, "bs": -0.02240643123231184, "sigma2": 0.0010003075182611681 }, "S": { "sigma2": 0.000998708701526589, "tau2": 1.59575881854289e-06 }, "J": { "sigma2": 0.0010003044603451318, "tau2": 0.0 } } }, { "pair_id": 1, "scores_nats_record": { "W": 8327.552347702831, "A": 8327.54440064359, "V": 8326.245923290848, "S": 8327.552347702831, "J": 8327.45280708481 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0010325294631463497 }, "A": { "a": -0.0006918400719069345, "sigma2": 0.0010325289687337 }, "V": { "bc": -0.0005591761971900616, "bs": 0.05840736266849307, "sigma2": 0.0010325177974198627 }, "S": { "sigma2": 0.0010325294631463497, "tau2": 0.0 }, "J": { "sigma2": 0.0010304359740252503, "tau2": 2.0934891210992627e-06 } } }, { "pair_id": 2, "scores_nats_record": { "W": 8261.998384857921, "A": 8261.720976973702, "V": 8259.505289143339, "S": 8261.601114523608, "J": 8261.998384857921 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009646167444819776 }, "A": { "a": -0.013492752649474294, "sigma2": 0.0009644410738952101 }, "V": { "bc": -0.03296540618916094, "bs": -0.05107548329819664, "sigma2": 0.00096463449896557 }, "S": { "sigma2": 0.000962937489954689, "tau2": 1.6792545272887079e-06 }, "J": { "sigma2": 0.0009646167444819776, "tau2": 0.0 } } }, { "pair_id": 3, "scores_nats_record": { "W": 8331.990456363876, "A": 8332.1175936785, "V": 8331.835246012348, "S": 8332.794550668385, "J": 8331.990456363876 }, "max_nonwhite_minus_white_nats_record": 0.804094304508908, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.6769569898842747 }, "parameters": { "W": { "sigma2": 0.000987840479675785 }, "A": { "a": 0.006987118754743049, "sigma2": 0.0009877922411254904 }, "V": { "bc": -0.039610469532203596, "bs": -0.03876083273539968, "sigma2": 0.0009878427789207177 }, "S": { "sigma2": 0.000982624777602674, "tau2": 5.215702073111036e-06 }, "J": { "sigma2": 0.000987840479675785, "tau2": 0.0 } } }, { "pair_id": 4, "scores_nats_record": { "W": 8254.411607697235, "A": 8252.46198827951, "V": 8254.980971067684, "S": 8254.411607697235, "J": 8254.411607697235 }, "max_nonwhite_minus_white_nats_record": 0.5693633704486274, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.5693633704486274 }, "parameters": { "W": { "sigma2": 0.0009770594418470242 }, "A": { "a": -0.015766711847009635, "sigma2": 0.000976816554528209 }, "V": { "bc": -0.006251279295822455, "bs": 0.01186493926290523, "sigma2": 0.000977059763656674 }, "S": { "sigma2": 0.0009770594418470242, "tau2": 0.0 }, "J": { "sigma2": 0.0009770594418470242, "tau2": 0.0 } } }, { "pair_id": 5, "scores_nats_record": { "W": 8307.191842576403, "A": 8307.535038518854, "V": 8306.050997822782, "S": 8306.681156359522, "J": 8307.191842576403 }, "max_nonwhite_minus_white_nats_record": 0.34319594245062035, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.34319594245062035 }, "parameters": { "W": { "sigma2": 0.001022139418405605 }, "A": { "a": 0.012976613331232704, "sigma2": 0.0010219672696082191 }, "V": { "bc": -0.005083107604843401, "bs": 0.049174625275904195, "sigma2": 0.0010221368305575566 }, "S": { "sigma2": 0.0010198002635332098, "tau2": 2.339154872395174e-06 }, "J": { "sigma2": 0.001022139418405605, "tau2": 0.0 } } }, { "pair_id": 6, "scores_nats_record": { "W": 8393.621381418905, "A": 8392.355432999162, "V": 8389.71467157442, "S": 8393.621381418905, "J": 8393.621381418905 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0010027365660444938 }, "A": { "a": 0.014993604580318865, "sigma2": 0.0010025112410995784 }, "V": { "bc": 0.0489153288379894, "bs": -0.09125272521082804, "sigma2": 0.0010026919200622746 }, "S": { "sigma2": 0.0010027365660444938, "tau2": 0.0 }, "J": { "sigma2": 0.0010027365660444938, "tau2": 0.0 } } }, { "pair_id": 7, "scores_nats_record": { "W": 8296.776274434354, "A": 8296.754315992282, "V": 8296.26259766519, "S": 8296.390249032647, "J": 8296.776274434354 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009999848219485073 }, "A": { "a": -0.007612144735242991, "sigma2": 0.000999926868147212 }, "V": { "bc": 0.021493467884887964, "bs": -0.001267957458521834, "sigma2": 0.0009999870065999436 }, "S": { "sigma2": 0.0009963918172584683, "tau2": 3.5930046900390245e-06 }, "J": { "sigma2": 0.0009999848219485073, "tau2": 0.0 } } }, { "pair_id": 8, "scores_nats_record": { "W": 8342.53944586696, "A": 8338.673231196877, "V": 8342.68122003803, "S": 8342.53944586696, "J": 8342.432032429791 }, "max_nonwhite_minus_white_nats_record": 0.1417741710702103, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.1417741710702103 }, "parameters": { "W": { "sigma2": 0.0009718466112504353 }, "A": { "a": -0.03379520392838923, "sigma2": 0.000970736364798339 }, "V": { "bc": -0.04921869261621759, "bs": -0.013415293461689386, "sigma2": 0.0009718460459563614 }, "S": { "sigma2": 0.0009718466112504353, "tau2": 0.0 }, "J": { "sigma2": 0.0009716623122156743, "tau2": 1.842990347609919e-07 } } }, { "pair_id": 9, "scores_nats_record": { "W": 8277.094361251411, "A": 8276.633459001308, "V": 8277.37156116172, "S": 8277.094361251411, "J": 8276.403667682396 }, "max_nonwhite_minus_white_nats_record": 0.2771999103097187, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.2771999103097187 }, "parameters": { "W": { "sigma2": 0.0009988185954019997 }, "A": { "a": 0.012874766590242679, "sigma2": 0.0009986529537184896 }, "V": { "bc": -0.03062753050152176, "bs": -0.021683141128360065, "sigma2": 0.0009988064597526622 }, "S": { "sigma2": 0.0009988185954019997, "tau2": 0.0 }, "J": { "sigma2": 0.0009969752338112947, "tau2": 1.8433615907049171e-06 } } }, { "pair_id": 10, "scores_nats_record": { "W": 8297.219828854439, "A": 8296.994889753314, "V": 8299.46272944986, "S": 8297.219828854439, "J": 8297.219828854439 }, "max_nonwhite_minus_white_nats_record": 2.2429005954218155, "winner": { "models": [ "V" ], "minimum_winning_margin": 2.2429005954218155 }, "parameters": { "W": { "sigma2": 0.001012963638608313 }, "A": { "a": 0.0055289632033011914, "sigma2": 0.0010129326700922276 }, "V": { "bc": -0.07858649743099673, "bs": -0.0022000792920198824, "sigma2": 0.001012966278605103 }, "S": { "sigma2": 0.001012963638608313, "tau2": 0.0 }, "J": { "sigma2": 0.001012963638608313, "tau2": 0.0 } } }, { "pair_id": 11, "scores_nats_record": { "W": 8298.305887037106, "A": 8296.782740041717, "V": 8296.302884789824, "S": 8298.305887037106, "J": 8298.621077021942 }, "max_nonwhite_minus_white_nats_record": 0.3151899848362518, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.3151899848362518 }, "parameters": { "W": { "sigma2": 0.001000820532879477 }, "A": { "a": 0.020171811590813667, "sigma2": 0.0010004132790993473 }, "V": { "bc": 0.006639219910415119, "bs": -0.06698588168393813, "sigma2": 0.0010008071272327094 }, "S": { "sigma2": 0.001000820532879477, "tau2": 0.0 }, "J": { "sigma2": 0.0009982292889574714, "tau2": 2.5912439220055008e-06 } } }, { "pair_id": 12, "scores_nats_record": { "W": 8314.210251318618, "A": 8312.603529357453, "V": 8311.570280192731, "S": 8313.487656759733, "J": 8314.210251318618 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.000991535927231801 }, "A": { "a": 0.03574418010954709, "sigma2": 0.000990269061868179 }, "V": { "bc": -0.020356842301333278, "bs": -0.03081747649653174, "sigma2": 0.0009915399126224373 }, "S": { "sigma2": 0.0009898480512396124, "tau2": 1.6878759921889253e-06 }, "J": { "sigma2": 0.000991535927231801, "tau2": 0.0 } } }, { "pair_id": 13, "scores_nats_record": { "W": 8391.626624856433, "A": 8392.29412490375, "V": 8391.791234163342, "S": 8391.626624856433, "J": 8391.626624856433 }, "max_nonwhite_minus_white_nats_record": 0.6675000473169348, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.5028907404084748 }, "parameters": { "W": { "sigma2": 0.0009844793778960236 }, "A": { "a": -0.014142847052287138, "sigma2": 0.0009842823781024475 }, "V": { "bc": -0.0023968746388840475, "bs": -0.00954402343417189, "sigma2": 0.000984479334206604 }, "S": { "sigma2": 0.0009844793778960236, "tau2": 0.0 }, "J": { "sigma2": 0.0009844793778960236, "tau2": 0.0 } } }, { "pair_id": 14, "scores_nats_record": { "W": 8337.33374865604, "A": 8336.6825114984, "V": 8335.183714809562, "S": 8337.361535674607, "J": 8337.33374865604 }, "max_nonwhite_minus_white_nats_record": 0.027787018567323685, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.027787018567323685 }, "parameters": { "W": { "sigma2": 0.0010043332444194788 }, "A": { "a": -0.004117381200763442, "sigma2": 0.0010043162115553972 }, "V": { "bc": 0.05301762366639926, "bs": 0.011270305788977017, "sigma2": 0.0010043408065522575 }, "S": { "sigma2": 0.0010019575862214695, "tau2": 2.3756581980095335e-06 }, "J": { "sigma2": 0.0010043332444194788, "tau2": 0.0 } } }, { "pair_id": 15, "scores_nats_record": { "W": 8425.04170244434, "A": 8423.030243281719, "V": 8424.236881335888, "S": 8425.04170244434, "J": 8425.025542102901 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009593462677010301 }, "A": { "a": -0.016366501824913716, "sigma2": 0.0009590891745358976 }, "V": { "bc": -0.006555547008171687, "bs": 0.039498757910876814, "sigma2": 0.0009593477396674463 }, "S": { "sigma2": 0.0009593462677010301, "tau2": 0.0 }, "J": { "sigma2": 0.0009593276447282217, "tau2": 1.8622972808371844e-08 } } }, { "pair_id": 16, "scores_nats_record": { "W": 8281.849383907818, "A": 8281.301779286514, "V": 8281.381960697621, "S": 8281.837607089174, "J": 8282.02249636465 }, "max_nonwhite_minus_white_nats_record": 0.1731124568323139, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.1731124568323139 }, "parameters": { "W": { "sigma2": 0.0009606008271370991 }, "A": { "a": -0.008866340433598806, "sigma2": 0.0009605252828920072 }, "V": { "bc": 0.021941281851563764, "bs": 0.011670586630134469, "sigma2": 0.000960600681010068 }, "S": { "sigma2": 0.0009605652388180355, "tau2": 3.5588319063784764e-08 }, "J": { "sigma2": 0.000959741382378841, "tau2": 8.594447582580659e-07 } } }, { "pair_id": 17, "scores_nats_record": { "W": 8321.269291005312, "A": 8320.976596851242, "V": 8319.043192249897, "S": 8317.408939631407, "J": 8321.269291005312 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.001019521971190224 }, "A": { "a": -0.017826176400238897, "sigma2": 0.0010191979684868058 }, "V": { "bc": 0.031437962304418275, "bs": 0.039807216315578375, "sigma2": 0.0010195162337701764 }, "S": { "sigma2": 0.0010109553517775192, "tau2": 8.566619412704961e-06 }, "J": { "sigma2": 0.001019521971190224, "tau2": 0.0 } } }, { "pair_id": 18, "scores_nats_record": { "W": 8304.12976927458, "A": 8304.039752445886, "V": 8303.775499625192, "S": 8304.12976927458, "J": 8304.12976927458 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009737141499518914 }, "A": { "a": -0.0010173410568544805, "sigma2": 0.0009737131417452601 }, "V": { "bc": -0.0375313759652044, "bs": 0.0364854127623464, "sigma2": 0.0009737336660356068 }, "S": { "sigma2": 0.0009737141499518914, "tau2": 0.0 }, "J": { "sigma2": 0.0009737141499518914, "tau2": 0.0 } } }, { "pair_id": 19, "scores_nats_record": { "W": 8326.024972682564, "A": 8325.867909972872, "V": 8325.822520323285, "S": 8326.024972682564, "J": 8326.118706600953 }, "max_nonwhite_minus_white_nats_record": 0.09373391838926182, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.09373391838926182 }, "parameters": { "W": { "sigma2": 0.0010033610849582166 }, "A": { "a": -0.003246745586024051, "sigma2": 0.0010033505039745965 }, "V": { "bc": -0.000992627430954036, "bs": -0.01067052313482397, "sigma2": 0.0010033620205847655 }, "S": { "sigma2": 0.0010033610849582166, "tau2": 0.0 }, "J": { "sigma2": 0.0010022805532412075, "tau2": 1.080531717009272e-06 } } }, { "pair_id": 20, "scores_nats_record": { "W": 8281.11026850674, "A": 8280.137311613162, "V": 8276.944506496427, "S": 8281.11026850674, "J": 8280.764787000473 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009838985279591941 }, "A": { "a": 0.01135617889321933, "sigma2": 0.0009837715934092287 }, "V": { "bc": -0.02173656802177069, "bs": 0.05689339817739447, "sigma2": 0.0009838740471976382 }, "S": { "sigma2": 0.0009838985279591941, "tau2": 0.0 }, "J": { "sigma2": 0.0009819851457789767, "tau2": 1.9133821802176586e-06 } } }, { "pair_id": 21, "scores_nats_record": { "W": 8261.000783080426, "A": 8261.774342329642, "V": 8259.700538576883, "S": 8260.020265901212, "J": 8261.000783080426 }, "max_nonwhite_minus_white_nats_record": 0.7735592492153955, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.7735592492153955 }, "parameters": { "W": { "sigma2": 0.0010098286268317197 }, "A": { "a": 0.017651811749921247, "sigma2": 0.0010095139561533133 }, "V": { "bc": 0.013481744005553034, "bs": -0.04168192524674853, "sigma2": 0.0010098224738550462 }, "S": { "sigma2": 0.001007009565651478, "tau2": 2.819061180241901e-06 }, "J": { "sigma2": 0.0010098286268317197, "tau2": 0.0 } } }, { "pair_id": 22, "scores_nats_record": { "W": 8346.307569973062, "A": 8346.984595609469, "V": 8346.450082160492, "S": 8346.307569973062, "J": 8344.68463793347 }, "max_nonwhite_minus_white_nats_record": 0.6770256364070519, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.5345134489762131 }, "parameters": { "W": { "sigma2": 0.000992688795867237 }, "A": { "a": -0.00912480130888025, "sigma2": 0.0009926061318378879 }, "V": { "bc": 0.06427469514094783, "bs": -0.012417991940914613, "sigma2": 0.0009927023519995298 }, "S": { "sigma2": 0.000992688795867237, "tau2": 0.0 }, "J": { "sigma2": 0.0009904183541095076, "tau2": 2.2704417577291654e-06 } } }, { "pair_id": 23, "scores_nats_record": { "W": 8357.371237883377, "A": 8356.75241538105, "V": 8355.807251097445, "S": 8357.371237883377, "J": 8357.451472365654 }, "max_nonwhite_minus_white_nats_record": 0.08023448227686458, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.08023448227686458 }, "parameters": { "W": { "sigma2": 0.001019819744943758 }, "A": { "a": -0.019540639016253938, "sigma2": 0.0010194303218811077 }, "V": { "bc": 0.0397252880164968, "bs": -0.018759127382963953, "sigma2": 0.0010198088830929606 }, "S": { "sigma2": 0.001019819744943758, "tau2": 0.0 }, "J": { "sigma2": 0.0010167940113323802, "tau2": 3.025733611377746e-06 } } }, { "pair_id": 24, "scores_nats_record": { "W": 8364.33806480177, "A": 8361.911576931325, "V": 8364.768335776373, "S": 8364.33806480177, "J": 8364.33806480177 }, "max_nonwhite_minus_white_nats_record": 0.4302709746025357, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.4302709746025357 }, "parameters": { "W": { "sigma2": 0.0009324295707714883 }, "A": { "a": -0.02190813132838747, "sigma2": 0.0009319824567241916 }, "V": { "bc": -0.031165510503836077, "bs": 0.020166700658740048, "sigma2": 0.0009324237970604487 }, "S": { "sigma2": 0.0009324295707714883, "tau2": 0.0 }, "J": { "sigma2": 0.0009324295707714883, "tau2": 0.0 } } }, { "pair_id": 25, "scores_nats_record": { "W": 8338.61720816734, "A": 8339.47416390822, "V": 8337.772484629146, "S": 8338.61720816734, "J": 8338.61720816734 }, "max_nonwhite_minus_white_nats_record": 0.8569557408809487, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.8569557408809487 }, "parameters": { "W": { "sigma2": 0.0010076504951879893 }, "A": { "a": -0.018081872292191093, "sigma2": 0.0010073209330138972 }, "V": { "bc": 0.009248273766279591, "bs": 0.024540334628064348, "sigma2": 0.0010076514990586265 }, "S": { "sigma2": 0.0010076504951879893, "tau2": 0.0 }, "J": { "sigma2": 0.0010076504951879893, "tau2": 0.0 } } }, { "pair_id": 26, "scores_nats_record": { "W": 8406.955307842569, "A": 8406.815983467666, "V": 8407.28438711565, "S": 8407.467660740604, "J": 8406.955307842569 }, "max_nonwhite_minus_white_nats_record": 0.5123528980348055, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.18327362495438138 }, "parameters": { "W": { "sigma2": 0.00101297747021419 }, "A": { "a": 0.00777019696039754, "sigma2": 0.0010129162936804005 }, "V": { "bc": 0.008396302376327379, "bs": -0.013986131978928723, "sigma2": 0.0010129769192690364 }, "S": { "sigma2": 0.0010090263333809768, "tau2": 3.951136833213044e-06 }, "J": { "sigma2": 0.00101297747021419, "tau2": 0.0 } } }, { "pair_id": 27, "scores_nats_record": { "W": 8245.769241703725, "A": 8245.664192483213, "V": 8245.530945684332, "S": 8245.769241703725, "J": 8245.769241703725 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0010302807867354868 }, "A": { "a": -0.003264176472217021, "sigma2": 0.001030269815269334 }, "V": { "bc": 0.022889367498123193, "bs": -0.004866760415147131, "sigma2": 0.0010302796593671182 }, "S": { "sigma2": 0.0010302807867354868, "tau2": 0.0 }, "J": { "sigma2": 0.0010302807867354868, "tau2": 0.0 } } }, { "pair_id": 28, "scores_nats_record": { "W": 8268.480275111326, "A": 8268.59061574165, "V": 8268.336312506815, "S": 8268.332595565402, "J": 8268.216964715524 }, "max_nonwhite_minus_white_nats_record": 0.11034063032457198, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.11034063032457198 }, "parameters": { "W": { "sigma2": 0.000991551530675953 }, "A": { "a": 0.0012621796947276946, "sigma2": 0.0009915499504654665 }, "V": { "bc": -0.041485863868078066, "bs": 0.0024065321811823754, "sigma2": 0.0009915570195797021 }, "S": { "sigma2": 0.00099103602295027, "tau2": 5.155077256829258e-07 }, "J": { "sigma2": 0.0009891392568899232, "tau2": 2.412273786029705e-06 } } }, { "pair_id": 29, "scores_nats_record": { "W": 8349.622422938934, "A": 8349.667803295124, "V": 8349.973667074182, "S": 8349.26647605347, "J": 8349.622422938934 }, "max_nonwhite_minus_white_nats_record": 0.35124413524863485, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.3058637790581997 }, "parameters": { "W": { "sigma2": 0.0009989258890125538 }, "A": { "a": -0.01759296894922415, "sigma2": 0.0009986165817668072 }, "V": { "bc": -0.006186671169068111, "bs": -0.03331471784165085, "sigma2": 0.0009989318944232063 }, "S": { "sigma2": 0.0009961657813321255, "tau2": 2.7601076804284004e-06 }, "J": { "sigma2": 0.0009989258890125538, "tau2": 0.0 } } }, { "pair_id": 30, "scores_nats_record": { "W": 8217.131691794108, "A": 8216.421954818403, "V": 8213.74930277148, "S": 8216.240814812396, "J": 8217.593661774028 }, "max_nonwhite_minus_white_nats_record": 0.4619699799204682, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.4619699799204682 }, "parameters": { "W": { "sigma2": 0.0010065894469518354 }, "A": { "a": 0.014305601961442994, "sigma2": 0.0010063834081989926 }, "V": { "bc": -0.05181581368306224, "bs": 0.030697137391928784, "sigma2": 0.001006573745286522 }, "S": { "sigma2": 0.0010037402367127015, "tau2": 2.849210239133834e-06 }, "J": { "sigma2": 0.0010039947048951171, "tau2": 2.594742056718392e-06 } } }, { "pair_id": 31, "scores_nats_record": { "W": 8378.655236548082, "A": 8378.658525153574, "V": 8378.622357380484, "S": 8378.211566502232, "J": 8378.710408077879 }, "max_nonwhite_minus_white_nats_record": 0.05517152979700768, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.0518829243046639 }, "parameters": { "W": { "sigma2": 0.0010422956702416481 }, "A": { "a": 0.006039918960561777, "sigma2": 0.0010422576348744206 }, "V": { "bc": -0.013344870249275425, "bs": -0.02739990319585399, "sigma2": 0.001042298228568206 }, "S": { "sigma2": 0.0010404509807705794, "tau2": 1.8446894710685367e-06 }, "J": { "sigma2": 0.0010418391987270486, "tau2": 4.5647151459947687e-07 } } }, { "pair_id": 32, "scores_nats_record": { "W": 8308.903493689486, "A": 8308.825876388919, "V": 8309.122238549295, "S": 8308.903493689486, "J": 8308.507489759608 }, "max_nonwhite_minus_white_nats_record": 0.218744859808794, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.218744859808794 }, "parameters": { "W": { "sigma2": 0.001015064322734212 }, "A": { "a": -0.001240336171039172, "sigma2": 0.0010150627607506987 }, "V": { "bc": -0.009356490104564436, "bs": -0.02051747627578818, "sigma2": 0.0010150652554835652 }, "S": { "sigma2": 0.001015064322734212, "tau2": 0.0 }, "J": { "sigma2": 0.0010144610422696094, "tau2": 6.032804646027046e-07 } } }, { "pair_id": 33, "scores_nats_record": { "W": 8398.877315913236, "A": 8398.82960222025, "V": 8397.527825768184, "S": 8398.306573322672, "J": 8398.970728282355 }, "max_nonwhite_minus_white_nats_record": 0.09341236911859596, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.09341236911859596 }, "parameters": { "W": { "sigma2": 0.001041685714172477 }, "A": { "a": 0.011559451944635086, "sigma2": 0.001041546563136985 }, "V": { "bc": 0.021089565950037515, "bs": -0.00317170862730554, "sigma2": 0.0010416862951041004 }, "S": { "sigma2": 0.001040390870335841, "tau2": 1.2948438366360286e-06 }, "J": { "sigma2": 0.0010413936928190288, "tau2": 2.920213534482419e-07 } } }, { "pair_id": 34, "scores_nats_record": { "W": 8371.503158178697, "A": 8371.524426681663, "V": 8371.007294290845, "S": 8371.653585258598, "J": 8371.503158178697 }, "max_nonwhite_minus_white_nats_record": 0.15042707990141935, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.12915857693587895 }, "parameters": { "W": { "sigma2": 0.0009906070794754435 }, "A": { "a": 0.002287650060712705, "sigma2": 0.000990601893031942 }, "V": { "bc": 0.0009639420196886927, "bs": -0.016060507446200117, "sigma2": 0.0009906062570027175 }, "S": { "sigma2": 0.0009883796991884291, "tau2": 2.2273802870143058e-06 }, "J": { "sigma2": 0.0009906070794754435, "tau2": 0.0 } } }, { "pair_id": 35, "scores_nats_record": { "W": 8378.900800022295, "A": 8379.515860517371, "V": 8376.84186332219, "S": 8379.473881441567, "J": 8378.900800022295 }, "max_nonwhite_minus_white_nats_record": 0.6150604950762499, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.04197907580419269 }, "parameters": { "W": { "sigma2": 0.001001933037487212 }, "A": { "a": 0.014253737119493522, "sigma2": 0.0010017295014560928 }, "V": { "bc": -0.02503851205879041, "bs": 0.05004642665860438, "sigma2": 0.0010019294397698019 }, "S": { "sigma2": 0.0009983648846951844, "tau2": 3.568152792027532e-06 }, "J": { "sigma2": 0.001001933037487212, "tau2": 0.0 } } }, { "pair_id": 36, "scores_nats_record": { "W": 8313.286843541542, "A": 8313.601507424946, "V": 8311.822840049153, "S": 8311.476680190548, "J": 8311.953066880016 }, "max_nonwhite_minus_white_nats_record": 0.31466388340413687, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.31466388340413687 }, "parameters": { "W": { "sigma2": 0.0010362312996521727 }, "A": { "a": 0.010363398175250485, "sigma2": 0.0010361200382755739 }, "V": { "bc": 0.03247730823706957, "bs": -0.06124473371650794, "sigma2": 0.0010362178850327878 }, "S": { "sigma2": 0.001029414974080926, "tau2": 6.816325571246876e-06 }, "J": { "sigma2": 0.0010342398802935893, "tau2": 1.9914193585835183e-06 } } }, { "pair_id": 37, "scores_nats_record": { "W": 8382.274656430902, "A": 8382.248249685737, "V": 8381.494795784747, "S": 8382.274656430902, "J": 8382.274656430902 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0010210906004647366 }, "A": { "a": -0.0006228674208841485, "sigma2": 0.0010210902041306845 }, "V": { "bc": -0.03427193867317435, "bs": -0.0068880935805302876, "sigma2": 0.0010210914571532974 }, "S": { "sigma2": 0.0010210906004647366, "tau2": 0.0 }, "J": { "sigma2": 0.0010210906004647366, "tau2": 0.0 } } }, { "pair_id": 38, "scores_nats_record": { "W": 8288.333058233893, "A": 8288.226778942506, "V": 8287.455809964136, "S": 8288.333058233893, "J": 8288.774990670594 }, "max_nonwhite_minus_white_nats_record": 0.4419324367008812, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.4419324367008812 }, "parameters": { "W": { "sigma2": 0.000984362064049752 }, "A": { "a": -0.0013600759705486736, "sigma2": 0.0009843602423192873 }, "V": { "bc": 0.06994872956402882, "bs": -0.014604924257570704, "sigma2": 0.0009843535242588216 }, "S": { "sigma2": 0.000984362064049752, "tau2": 0.0 }, "J": { "sigma2": 0.0009836854590688337, "tau2": 6.766049809181805e-07 } } }, { "pair_id": 39, "scores_nats_record": { "W": 8256.437786177235, "A": 8256.511321184838, "V": 8252.270590934695, "S": 8256.532267684242, "J": 8256.437786177235 }, "max_nonwhite_minus_white_nats_record": 0.09448150700700353, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.02094649940408999 }, "parameters": { "W": { "sigma2": 0.0009781612025152354 }, "A": { "a": -0.008952909551895698, "sigma2": 0.0009780827842525972 }, "V": { "bc": -0.02055349045662917, "bs": 0.036149200396830124, "sigma2": 0.0009781558950540251 }, "S": { "sigma2": 0.0009778196602526505, "tau2": 3.415422625849722e-07 }, "J": { "sigma2": 0.0009781612025152354, "tau2": 0.0 } } }, { "pair_id": 40, "scores_nats_record": { "W": 8244.415838995055, "A": 8244.410621617464, "V": 8244.626038447857, "S": 8244.415838995055, "J": 8244.415838995055 }, "max_nonwhite_minus_white_nats_record": 0.2101994528020441, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.2101994528020441 }, "parameters": { "W": { "sigma2": 0.0009959269619575358 }, "A": { "a": -0.00012594230466278085, "sigma2": 0.0009959269461624113 }, "V": { "bc": -0.009926263219804452, "bs": -0.010747181068170271, "sigma2": 0.0009959268155383938 }, "S": { "sigma2": 0.0009959269619575358, "tau2": 0.0 }, "J": { "sigma2": 0.0009959269619575358, "tau2": 0.0 } } }, { "pair_id": 41, "scores_nats_record": { "W": 8269.100911117624, "A": 8270.216750528256, "V": 8268.778195887435, "S": 8264.814126256446, "J": 8269.100911117624 }, "max_nonwhite_minus_white_nats_record": 1.1158394106314518, "winner": { "models": [ "A" ], "minimum_winning_margin": 1.1158394106314518 }, "parameters": { "W": { "sigma2": 0.0010477522955555 }, "A": { "a": -0.0147995654197316, "sigma2": 0.0010475230328212183 }, "V": { "bc": 0.04160205324553681, "bs": -0.011263235763748582, "sigma2": 0.001047746053214933 }, "S": { "sigma2": 0.0010413824845525125, "tau2": 6.369811002987483e-06 }, "J": { "sigma2": 0.0010477522955555, "tau2": 0.0 } } }, { "pair_id": 42, "scores_nats_record": { "W": 8329.427385919369, "A": 8329.217314492762, "V": 8331.164780249506, "S": 8329.427385919369, "J": 8329.427385919369 }, "max_nonwhite_minus_white_nats_record": 1.7373943301372492, "winner": { "models": [ "V" ], "minimum_winning_margin": 1.7373943301372492 }, "parameters": { "W": { "sigma2": 0.001002885547650921 }, "A": { "a": -0.0036904285068675444, "sigma2": 0.0010028719018024953 }, "V": { "bc": 0.04714427085125016, "bs": 0.027165143451436214, "sigma2": 0.0010028678492470995 }, "S": { "sigma2": 0.001002885547650921, "tau2": 0.0 }, "J": { "sigma2": 0.001002885547650921, "tau2": 0.0 } } }, { "pair_id": 43, "scores_nats_record": { "W": 8348.945111533083, "A": 8348.909259508953, "V": 8348.90626452995, "S": 8348.373689971779, "J": 8349.649574834875 }, "max_nonwhite_minus_white_nats_record": 0.7044633017922024, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.7044633017922024 }, "parameters": { "W": { "sigma2": 0.0010521050838853915 }, "A": { "a": -0.007262694101036937, "sigma2": 0.0010520495637575174 }, "V": { "bc": -0.002564722533172727, "bs": 0.018016625782749127, "sigma2": 0.0010521064540404905 }, "S": { "sigma2": 0.0010505401938748795, "tau2": 1.5648900105120026e-06 }, "J": { "sigma2": 0.001049716528184714, "tau2": 2.388555700677288e-06 } } }, { "pair_id": 44, "scores_nats_record": { "W": 8274.602251885826, "A": 8274.615572824281, "V": 8275.386194439361, "S": 8273.71877875211, "J": 8274.602251885826 }, "max_nonwhite_minus_white_nats_record": 0.783942553534871, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.7706216150800174 }, "parameters": { "W": { "sigma2": 0.0009569189251513487 }, "A": { "a": -0.0012224758104861105, "sigma2": 0.0009569174946153428 }, "V": { "bc": 0.01809621843089879, "bs": 0.008918088155852903, "sigma2": 0.0009569183525556601 }, "S": { "sigma2": 0.0009544209266741419, "tau2": 2.497998477206814e-06 }, "J": { "sigma2": 0.0009569189251513487, "tau2": 0.0 } } }, { "pair_id": 45, "scores_nats_record": { "W": 8437.370498391912, "A": 8433.799578871207, "V": 8437.200027069512, "S": 8436.950588953086, "J": 8437.370498391912 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.000982995995390229 }, "A": { "a": -0.022406960945335664, "sigma2": 0.0009825025166130044 }, "V": { "bc": 0.0050668996019371994, "bs": 0.008294694800191169, "sigma2": 0.000982996207130408 }, "S": { "sigma2": 0.000981663244994459, "tau2": 1.3327503957701799e-06 }, "J": { "sigma2": 0.000982995995390229, "tau2": 0.0 } } }, { "pair_id": 46, "scores_nats_record": { "W": 8375.198995014167, "A": 8375.122533006554, "V": 8374.260415601348, "S": 8375.198995014167, "J": 8375.232671484533 }, "max_nonwhite_minus_white_nats_record": 0.03367647036611743, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.03367647036611743 }, "parameters": { "W": { "sigma2": 0.0010268300579488812 }, "A": { "a": -0.0008843675376672065, "sigma2": 0.0010268292546442908 }, "V": { "bc": -0.007733420501754392, "bs": 0.034260228192685614, "sigma2": 0.0010268312356956153 }, "S": { "sigma2": 0.0010268300579488812, "tau2": 0.0 }, "J": { "sigma2": 0.0010250242452750598, "tau2": 1.8058126738212398e-06 } } }, { "pair_id": 47, "scores_nats_record": { "W": 8375.113756314191, "A": 8376.264283210056, "V": 8374.15343422577, "S": 8374.925204038738, "J": 8374.622499167643 }, "max_nonwhite_minus_white_nats_record": 1.1505268958644592, "winner": { "models": [ "A" ], "minimum_winning_margin": 1.1505268958644592 }, "parameters": { "W": { "sigma2": 0.0010438055680051972 }, "A": { "a": -0.017962405323284778, "sigma2": 0.0010434690561599578 }, "V": { "bc": 0.013825342275255023, "bs": -0.022844916767782667, "sigma2": 0.001043807675262599 }, "S": { "sigma2": 0.0010396871226831961, "tau2": 4.118445322001056e-06 }, "J": { "sigma2": 0.0010425004545152302, "tau2": 1.3051134899670426e-06 } } }, { "pair_id": 48, "scores_nats_record": { "W": 8316.893859644402, "A": 8317.173562819613, "V": 8311.016788214074, "S": 8316.893859644402, "J": 8316.165711183923 }, "max_nonwhite_minus_white_nats_record": 0.27970317521067045, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.27970317521067045 }, "parameters": { "W": { "sigma2": 0.0009947808031164048 }, "A": { "a": -0.027918526250304936, "sigma2": 0.0009940055464424456 }, "V": { "bc": -0.07058134683277037, "bs": -0.07397623433913508, "sigma2": 0.0009947281887100826 }, "S": { "sigma2": 0.0009947808031164048, "tau2": 0.0 }, "J": { "sigma2": 0.0009933338862313824, "tau2": 1.446916885022434e-06 } } }, { "pair_id": 49, "scores_nats_record": { "W": 8307.498665372552, "A": 8307.626481179783, "V": 8305.38968422173, "S": 8307.547017916464, "J": 8306.856667095937 }, "max_nonwhite_minus_white_nats_record": 0.1278158072309452, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.07946326331875753 }, "parameters": { "W": { "sigma2": 0.0010227247960978574 }, "A": { "a": -0.004025212810843752, "sigma2": 0.0010227082186753619 }, "V": { "bc": -0.011441758702514682, "bs": -0.04286147532563899, "sigma2": 0.0010227224804266893 }, "S": { "sigma2": 0.0010224565922371386, "tau2": 2.6820386071862133e-07 }, "J": { "sigma2": 0.0010206360446748334, "tau2": 2.0887514230242475e-06 } } }, { "pair_id": 50, "scores_nats_record": { "W": 8321.598452425891, "A": 8319.9964899324, "V": 8322.5511375615, "S": 8316.95738044304, "J": 8321.598452425891 }, "max_nonwhite_minus_white_nats_record": 0.9526851356094994, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.9526851356094994 }, "parameters": { "W": { "sigma2": 0.0009833876526045941 }, "A": { "a": -0.01273434749466458, "sigma2": 0.0009832281744215066 }, "V": { "bc": 0.009892075023474894, "bs": -0.019854902416257404, "sigma2": 0.000983390036594717 }, "S": { "sigma2": 0.000975642279412999, "tau2": 7.745373191595024e-06 }, "J": { "sigma2": 0.0009833876526045941, "tau2": 0.0 } } }, { "pair_id": 51, "scores_nats_record": { "W": 8325.110962527184, "A": 8324.584970332362, "V": 8324.161518232428, "S": 8325.110962527184, "J": 8325.110962527184 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009831156934444352 }, "A": { "a": -0.010971320447574219, "sigma2": 0.0009829973588551856 }, "V": { "bc": 0.03851441578440906, "bs": -0.02952021229490091, "sigma2": 0.0009831099662441503 }, "S": { "sigma2": 0.0009831156934444352, "tau2": 0.0 }, "J": { "sigma2": 0.0009831156934444352, "tau2": 0.0 } } }, { "pair_id": 52, "scores_nats_record": { "W": 8389.194454051121, "A": 8389.233118883974, "V": 8384.856912010231, "S": 8389.12071655415, "J": 8389.194454051121 }, "max_nonwhite_minus_white_nats_record": 0.03866483285310096, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.03866483285310096 }, "parameters": { "W": { "sigma2": 0.0009677930590710408 }, "A": { "a": -0.0015940226522749693, "sigma2": 0.0009677905991211219 }, "V": { "bc": -0.037320931838048695, "bs": 0.06566731246691088, "sigma2": 0.0009678128323994198 }, "S": { "sigma2": 0.000966878706667911, "tau2": 9.143524031294727e-07 }, "J": { "sigma2": 0.0009677930590710408, "tau2": 0.0 } } }, { "pair_id": 53, "scores_nats_record": { "W": 8409.288182400609, "A": 8409.730567612849, "V": 8409.170453743916, "S": 8409.17358631628, "J": 8409.288182400609 }, "max_nonwhite_minus_white_nats_record": 0.4423852122399694, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.4423852122399694 }, "parameters": { "W": { "sigma2": 0.001003772432403579 }, "A": { "a": -0.0068775989465477624, "sigma2": 0.0010037249373039568 }, "V": { "bc": 0.007937024572260962, "bs": 8.748571749028278e-05, "sigma2": 0.0010037726895621546 }, "S": { "sigma2": 0.001003253202344324, "tau2": 5.192300592549509e-07 }, "J": { "sigma2": 0.001003772432403579, "tau2": 0.0 } } }, { "pair_id": 54, "scores_nats_record": { "W": 8354.205669390558, "A": 8354.047465004776, "V": 8354.760122239522, "S": 8354.205669390558, "J": 8354.205669390558 }, "max_nonwhite_minus_white_nats_record": 0.5544528489645018, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.5544528489645018 }, "parameters": { "W": { "sigma2": 0.001013807179461936 }, "A": { "a": -0.006487993266564585, "sigma2": 0.0010137644877461166 }, "V": { "bc": 0.020424730037840094, "bs": -0.022076509585280867, "sigma2": 0.0010138090051530523 }, "S": { "sigma2": 0.001013807179461936, "tau2": 0.0 }, "J": { "sigma2": 0.001013807179461936, "tau2": 0.0 } } }, { "pair_id": 55, "scores_nats_record": { "W": 8330.074107966992, "A": 8330.182849637311, "V": 8327.897153137568, "S": 8330.074107966992, "J": 8330.074107966992 }, "max_nonwhite_minus_white_nats_record": 0.10874167031943216, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.10874167031943216 }, "parameters": { "W": { "sigma2": 0.0010228666134268045 }, "A": { "a": -0.0010378783130212852, "sigma2": 0.0010228655111737355 }, "V": { "bc": -0.04944279873547151, "bs": 0.023737858721470145, "sigma2": 0.0010228666172784067 }, "S": { "sigma2": 0.0010228666134268045, "tau2": 0.0 }, "J": { "sigma2": 0.0010228666134268045, "tau2": 0.0 } } }, { "pair_id": 56, "scores_nats_record": { "W": 8330.348519163123, "A": 8327.93667855148, "V": 8330.290986041287, "S": 8330.348519163123, "J": 8329.088662235037 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.000995824153052475 }, "A": { "a": 0.03051703419284274, "sigma2": 0.0009948965607948508 }, "V": { "bc": -0.02772702798079678, "bs": -0.02953347501689614, "sigma2": 0.000995821457043301 }, "S": { "sigma2": 0.000995824153052475, "tau2": 0.0 }, "J": { "sigma2": 0.0009918566368061496, "tau2": 3.967516246325125e-06 } } }, { "pair_id": 57, "scores_nats_record": { "W": 8386.234374559872, "A": 8385.952003305958, "V": 8385.972942234697, "S": 8386.442089125554, "J": 8386.234374559872 }, "max_nonwhite_minus_white_nats_record": 0.20771456568218127, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.20771456568218127 }, "parameters": { "W": { "sigma2": 0.0010147530441920842 }, "A": { "a": 0.00413389908302273, "sigma2": 0.0010147356951575159 }, "V": { "bc": 0.010809724333356977, "bs": -0.006190958517527551, "sigma2": 0.0010147531555303472 }, "S": { "sigma2": 0.0010139534332599318, "tau2": 7.996109321524085e-07 }, "J": { "sigma2": 0.0010147530441920842, "tau2": 0.0 } } }, { "pair_id": 58, "scores_nats_record": { "W": 8316.298793909737, "A": 8316.322846354511, "V": 8314.84983612366, "S": 8316.298793909737, "J": 8315.644783641936 }, "max_nonwhite_minus_white_nats_record": 0.024052444774497417, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.024052444774497417 }, "parameters": { "W": { "sigma2": 0.0009828797458454484 }, "A": { "a": 0.004196346664330042, "sigma2": 0.0009828624366838928 }, "V": { "bc": -0.021961713132954214, "bs": 0.03677212932810273, "sigma2": 0.0009828703309553717 }, "S": { "sigma2": 0.0009828797458454484, "tau2": 0.0 }, "J": { "sigma2": 0.000977654831168868, "tau2": 5.224914676580339e-06 } } }, { "pair_id": 59, "scores_nats_record": { "W": 8380.349939126303, "A": 8380.589303488749, "V": 8378.25122019058, "S": 8380.349787109386, "J": 8380.349939126303 }, "max_nonwhite_minus_white_nats_record": 0.2393643624454853, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.2393643624454853 }, "parameters": { "W": { "sigma2": 0.0009897106083973785 }, "A": { "a": -0.005006120334663076, "sigma2": 0.000989685813089667 }, "V": { "bc": 0.026802188580394282, "bs": -0.015009299680361769, "sigma2": 0.0009897154080539057 }, "S": { "sigma2": 0.000989073929943492, "tau2": 6.366784538862369e-07 }, "J": { "sigma2": 0.0009897106083973785, "tau2": 0.0 } } }, { "pair_id": 60, "scores_nats_record": { "W": 8325.051228538523, "A": 8324.86661348597, "V": 8322.728152618507, "S": 8325.051228538523, "J": 8325.051228538523 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.000974725450446682 }, "A": { "a": 0.03708485267591655, "sigma2": 0.0009733842697191312 }, "V": { "bc": 0.01642911031065912, "bs": -0.02698924018180408, "sigma2": 0.000974724984740803 }, "S": { "sigma2": 0.000974725450446682, "tau2": 0.0 }, "J": { "sigma2": 0.000974725450446682, "tau2": 0.0 } } }, { "pair_id": 61, "scores_nats_record": { "W": 8402.060019280832, "A": 8402.683814625834, "V": 8402.800997503828, "S": 8402.186253194383, "J": 8402.060019280832 }, "max_nonwhite_minus_white_nats_record": 0.7409782229951816, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.11718287799340033 }, "parameters": { "W": { "sigma2": 0.001023788786549598 }, "A": { "a": 0.01109682246358264, "sigma2": 0.0010236627152485438 }, "V": { "bc": -0.04528487263642014, "bs": 0.02494099606792994, "sigma2": 0.0010237937110174548 }, "S": { "sigma2": 0.0010226500126932936, "tau2": 1.138773856304488e-06 }, "J": { "sigma2": 0.001023788786549598, "tau2": 0.0 } } }, { "pair_id": 62, "scores_nats_record": { "W": 8336.414844783938, "A": 8335.523877466363, "V": 8337.029108608489, "S": 8336.414844783938, "J": 8336.399365400604 }, "max_nonwhite_minus_white_nats_record": 0.614263824551017, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.614263824551017 }, "parameters": { "W": { "sigma2": 0.0010312172572281269 }, "A": { "a": 0.016858069878445348, "sigma2": 0.0010309242905989075 }, "V": { "bc": -0.05348829913801017, "bs": 0.026286808906332632, "sigma2": 0.0010312326742694955 }, "S": { "sigma2": 0.0010312172572281269, "tau2": 0.0 }, "J": { "sigma2": 0.0010310547561286538, "tau2": 1.6250109947305898e-07 } } }, { "pair_id": 63, "scores_nats_record": { "W": 8396.884362282348, "A": 8395.639647297798, "V": 8396.000261702056, "S": 8396.884362282348, "J": 8396.884362282348 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0010054848842699483 }, "A": { "a": -0.019551692092831318, "sigma2": 0.0010051006828987056 }, "V": { "bc": 0.02927857663785002, "bs": 0.055627433278722535, "sigma2": 0.0010054988196180905 }, "S": { "sigma2": 0.0010054848842699483, "tau2": 0.0 }, "J": { "sigma2": 0.0010054848842699483, "tau2": 0.0 } } }, { "pair_id": 64, "scores_nats_record": { "W": 8282.955687098207, "A": 8283.973696483063, "V": 8279.899359004627, "S": 8282.955687098207, "J": 8281.609628439466 }, "max_nonwhite_minus_white_nats_record": 1.018009384855759, "winner": { "models": [ "A" ], "minimum_winning_margin": 1.018009384855759 }, "parameters": { "W": { "sigma2": 0.0009986397312830627 }, "A": { "a": -0.014449637029553845, "sigma2": 0.0009984312831018939 }, "V": { "bc": 0.008601313284750929, "bs": -0.06707102960207667, "sigma2": 0.000998646575148118 }, "S": { "sigma2": 0.0009986397312830627, "tau2": 0.0 }, "J": { "sigma2": 0.00099613981632333, "tau2": 2.4999149597327552e-06 } } }, { "pair_id": 65, "scores_nats_record": { "W": 8359.62271045456, "A": 8358.783202758976, "V": 8358.682803042253, "S": 8359.244792479634, "J": 8357.618118707647 }, "max_nonwhite_minus_white_nats_record": -0.37791797492536716, "winner": { "models": [ "W" ], "minimum_winning_margin": 0.37791797492536716 }, "parameters": { "W": { "sigma2": 0.0009921093714908664 }, "A": { "a": -0.015808617677533804, "sigma2": 0.000991861384749937 }, "V": { "bc": -0.016190935873830865, "bs": -0.013820438321079768, "sigma2": 0.0009921092770838991 }, "S": { "sigma2": 0.0009909028682808596, "tau2": 1.2065032100068108e-06 }, "J": { "sigma2": 0.0009883341486910276, "tau2": 3.775222799838826e-06 } } }, { "pair_id": 66, "scores_nats_record": { "W": 8244.427133581145, "A": 8242.809875479325, "V": 8243.22364248177, "S": 8244.80947658898, "J": 8244.427133581145 }, "max_nonwhite_minus_white_nats_record": 0.3823430078355159, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.3823430078355159 }, "parameters": { "W": { "sigma2": 0.000997219888405258 }, "A": { "a": -0.01318133214524232, "sigma2": 0.0009970465441641989 }, "V": { "bc": -0.013735871772415947, "bs": -0.03311717861646721, "sigma2": 0.0009972284419039826 }, "S": { "sigma2": 0.000996355237458831, "tau2": 8.646509464270241e-07 }, "J": { "sigma2": 0.000997219888405258, "tau2": 0.0 } } }, { "pair_id": 67, "scores_nats_record": { "W": 8304.661874055126, "A": 8305.016444087765, "V": 8305.129632306725, "S": 8303.687644736452, "J": 8305.535991628369 }, "max_nonwhite_minus_white_nats_record": 0.8741175732429838, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.4063593216433219 }, "parameters": { "W": { "sigma2": 0.00101918519188455 }, "A": { "a": 0.0036179275671119476, "sigma2": 0.0010191718456827583 }, "V": { "bc": -0.009975392570001861, "bs": 0.008667899540300344, "sigma2": 0.0010191852875409946 }, "S": { "sigma2": 0.0010143759035920543, "tau2": 4.8092882924957524e-06 }, "J": { "sigma2": 0.0010162786692421253, "tau2": 2.906522642425125e-06 } } }, { "pair_id": 68, "scores_nats_record": { "W": 8248.7431709285, "A": 8250.18901241709, "V": 8245.647028546093, "S": 8248.7431709285, "J": 8248.7431709285 }, "max_nonwhite_minus_white_nats_record": 1.445841488590304, "winner": { "models": [ "A" ], "minimum_winning_margin": 1.445841488590304 }, "parameters": { "W": { "sigma2": 0.0009646772228513467 }, "A": { "a": -0.020213801641374644, "sigma2": 0.0009642832385533915 }, "V": { "bc": 0.0044431269115032136, "bs": -0.06155213879387336, "sigma2": 0.000964696675547305 }, "S": { "sigma2": 0.0009646772228513467, "tau2": 0.0 }, "J": { "sigma2": 0.0009646772228513467, "tau2": 0.0 } } }, { "pair_id": 69, "scores_nats_record": { "W": 8287.753105477383, "A": 8287.715037789683, "V": 8280.969568346383, "S": 8287.635703476879, "J": 8287.125943839188 }, "max_nonwhite_minus_white_nats_record": -0.038067687699367525, "winner": { "models": [ "W" ], "minimum_winning_margin": 0.038067687699367525 }, "parameters": { "W": { "sigma2": 0.0009575675046846372 }, "A": { "a": 0.009743268470900842, "sigma2": 0.0009574765693358275 }, "V": { "bc": -0.027562237645710266, "bs": -0.09982785515852624, "sigma2": 0.0009576097656686034 }, "S": { "sigma2": 0.0009563082111456623, "tau2": 1.2592935389748477e-06 }, "J": { "sigma2": 0.0009543829572139502, "tau2": 3.1845474706870244e-06 } } }, { "pair_id": 70, "scores_nats_record": { "W": 8229.571042676993, "A": 8226.34538166584, "V": 8228.475403767578, "S": 8229.062657164037, "J": 8229.732628569516 }, "max_nonwhite_minus_white_nats_record": 0.16158589252336242, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.16158589252336242 }, "parameters": { "W": { "sigma2": 0.0009510513939521641 }, "A": { "a": -0.03254773637505976, "sigma2": 0.0009500434734839452 }, "V": { "bc": -0.014761687352730177, "bs": 0.0233649207695111, "sigma2": 0.0009510493445234331 }, "S": { "sigma2": 0.0009500201036243627, "tau2": 1.0312903278015159e-06 }, "J": { "sigma2": 0.000950826125601917, "tau2": 2.252683502472937e-07 } } }, { "pair_id": 71, "scores_nats_record": { "W": 8317.14865484549, "A": 8317.135108181701, "V": 8317.100032893188, "S": 8317.14865484549, "J": 8317.14865484549 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.001050930709759945 }, "A": { "a": 0.001768543029681884, "sigma2": 0.0010509274215667842 }, "V": { "bc": 0.002476498935269112, "bs": -0.005566686953368562, "sigma2": 0.0010509309172892028 }, "S": { "sigma2": 0.001050930709759945, "tau2": 0.0 }, "J": { "sigma2": 0.001050930709759945, "tau2": 0.0 } } }, { "pair_id": 72, "scores_nats_record": { "W": 8322.659821490864, "A": 8323.20735980717, "V": 8321.931426597079, "S": 8322.659821490864, "J": 8322.659821490864 }, "max_nonwhite_minus_white_nats_record": 0.5475383163047809, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.5475383163047809 }, "parameters": { "W": { "sigma2": 0.0010073714095696117 }, "A": { "a": -0.01032052875580313, "sigma2": 0.001007264084592252 }, "V": { "bc": -0.042451768283563326, "bs": -0.002714610149542061, "sigma2": 0.0010073712591042651 }, "S": { "sigma2": 0.0010073714095696117, "tau2": 0.0 }, "J": { "sigma2": 0.0010073714095696117, "tau2": 0.0 } } }, { "pair_id": 73, "scores_nats_record": { "W": 8399.35192717865, "A": 8399.305885786438, "V": 8395.192887458516, "S": 8396.43702415537, "J": 8398.569456334504 }, "max_nonwhite_minus_white_nats_record": -0.04604139221191872, "winner": { "models": [ "W" ], "minimum_winning_margin": 0.04604139221191872 }, "parameters": { "W": { "sigma2": 0.0010016379224029553 }, "A": { "a": -0.013786767892692158, "sigma2": 0.0010014475942621234 }, "V": { "bc": -0.050136694742497746, "bs": 0.042997979076188186, "sigma2": 0.0010016119816081983 }, "S": { "sigma2": 0.0009978458678558963, "tau2": 3.7920545470591102e-06 }, "J": { "sigma2": 0.0010001768316723315, "tau2": 1.461090730623865e-06 } } }, { "pair_id": 74, "scores_nats_record": { "W": 8335.373334290342, "A": 8335.165929295737, "V": 8333.832330426318, "S": 8335.373334290342, "J": 8335.373334290342 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.001016088739851709 }, "A": { "a": -0.012385155128130184, "sigma2": 0.0010159328597358795 }, "V": { "bc": -0.049288556873721384, "bs": -0.027404238203309284, "sigma2": 0.0010160795983541406 }, "S": { "sigma2": 0.001016088739851709, "tau2": 0.0 }, "J": { "sigma2": 0.001016088739851709, "tau2": 0.0 } } }, { "pair_id": 75, "scores_nats_record": { "W": 8384.449358656433, "A": 8383.552689672193, "V": 8381.785918216658, "S": 8384.398722551132, "J": 8384.449358656433 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0010048204362161557 }, "A": { "a": 0.020214224102257365, "sigma2": 0.0010044101871303094 }, "V": { "bc": 0.04823017258565528, "bs": 0.03908140229845146, "sigma2": 0.0010048331875986576 }, "S": { "sigma2": 0.001000530916970848, "tau2": 4.289519245307767e-06 }, "J": { "sigma2": 0.0010048204362161557, "tau2": 0.0 } } }, { "pair_id": 76, "scores_nats_record": { "W": 8262.201500940646, "A": 8262.18911733666, "V": 8262.620991344618, "S": 8262.201500940646, "J": 8262.084796717118 }, "max_nonwhite_minus_white_nats_record": 0.4194904039723042, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.4194904039723042 }, "parameters": { "W": { "sigma2": 0.0010322427190492184 }, "A": { "a": -0.00021994245871329496, "sigma2": 0.0010322426691333196 }, "V": { "bc": 0.03391345190595936, "bs": -0.01952565525357771, "sigma2": 0.0010322391279637745 }, "S": { "sigma2": 0.0010322427190492184, "tau2": 0.0 }, "J": { "sigma2": 0.0010313281290354592, "tau2": 9.145900137594459e-07 } } }, { "pair_id": 77, "scores_nats_record": { "W": 8338.80704430451, "A": 8337.818622544964, "V": 8339.814227514924, "S": 8338.80704430451, "J": 8338.77738667694 }, "max_nonwhite_minus_white_nats_record": 1.0071832104131317, "winner": { "models": [ "V" ], "minimum_winning_margin": 1.0071832104131317 }, "parameters": { "W": { "sigma2": 0.0010211654276474896 }, "A": { "a": -0.014768468478527084, "sigma2": 0.001020942658380965 }, "V": { "bc": 0.014461740557782798, "bs": -0.008424821986042106, "sigma2": 0.0010211655653147153 }, "S": { "sigma2": 0.0010211654276474896, "tau2": 0.0 }, "J": { "sigma2": 0.001019701557434713, "tau2": 1.4638702127763421e-06 } } }, { "pair_id": 78, "scores_nats_record": { "W": 8357.986153191705, "A": 8358.181885368633, "V": 8355.377089214957, "S": 8357.986153191705, "J": 8357.986153191705 }, "max_nonwhite_minus_white_nats_record": 0.1957321769277769, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.1957321769277769 }, "parameters": { "W": { "sigma2": 0.0009752547897483681 }, "A": { "a": -0.004296558736405058, "sigma2": 0.0009752367884486017 }, "V": { "bc": -0.015460760950567441, "bs": -0.06406933823009614, "sigma2": 0.000975246053875273 }, "S": { "sigma2": 0.0009752547897483681, "tau2": 0.0 }, "J": { "sigma2": 0.0009752547897483681, "tau2": 0.0 } } }, { "pair_id": 79, "scores_nats_record": { "W": 8330.619108704233, "A": 8330.384047126116, "V": 8330.33148128162, "S": 8330.883029070186, "J": 8328.56851566978 }, "max_nonwhite_minus_white_nats_record": 0.26392036595279933, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.26392036595279933 }, "parameters": { "W": { "sigma2": 0.0010228311269579885 }, "A": { "a": 0.016389710382245473, "sigma2": 0.0010225562771311492 }, "V": { "bc": 0.00305376926021029, "bs": 0.007742650804657025, "sigma2": 0.0010228312857083204 }, "S": { "sigma2": 0.0010220335936401092, "tau2": 7.975333178792787e-07 }, "J": { "sigma2": 0.0010142908833164746, "tau2": 8.540243641513951e-06 } } }, { "pair_id": 80, "scores_nats_record": { "W": 8349.412045468976, "A": 8349.606308253296, "V": 8349.887815127022, "S": 8349.412045468976, "J": 8349.412045468976 }, "max_nonwhite_minus_white_nats_record": 0.4757696580454649, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.2815068737254478 }, "parameters": { "W": { "sigma2": 0.00099383828142583 }, "A": { "a": -0.012187149897888376, "sigma2": 0.000993690662796603 }, "V": { "bc": 0.011214019718426014, "bs": -0.013310538585895435, "sigma2": 0.0009938373928791255 }, "S": { "sigma2": 0.00099383828142583, "tau2": 0.0 }, "J": { "sigma2": 0.00099383828142583, "tau2": 0.0 } } }, { "pair_id": 81, "scores_nats_record": { "W": 8385.632355150063, "A": 8385.36660809766, "V": 8385.499341672235, "S": 8385.632355150063, "J": 8385.632355150063 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009959282720039017 }, "A": { "a": -0.00766423418959725, "sigma2": 0.0009958698064504387 }, "V": { "bc": -0.051236279373044036, "bs": -0.013707091839611574, "sigma2": 0.0009959295984553374 }, "S": { "sigma2": 0.0009959282720039017, "tau2": 0.0 }, "J": { "sigma2": 0.0009959282720039017, "tau2": 0.0 } } }, { "pair_id": 82, "scores_nats_record": { "W": 8403.115047360878, "A": 8401.127999496346, "V": 8400.225056225881, "S": 8403.115047360878, "J": 8402.915198663943 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009803642346179475 }, "A": { "a": -0.02003498379484474, "sigma2": 0.0009799708081306437 }, "V": { "bc": 0.04596142811122591, "bs": -0.010513644085067409, "sigma2": 0.000980366705531343 }, "S": { "sigma2": 0.0009803642346179475, "tau2": 0.0 }, "J": { "sigma2": 0.0009789079032129031, "tau2": 1.4563314050444259e-06 } } }, { "pair_id": 83, "scores_nats_record": { "W": 8370.06300204745, "A": 8370.33721678664, "V": 8370.057814722415, "S": 8370.06300204745, "J": 8370.341763826333 }, "max_nonwhite_minus_white_nats_record": 0.27876177888356324, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.004547039692624821 }, "parameters": { "W": { "sigma2": 0.001005203465589767 }, "A": { "a": -0.02568538716523327, "sigma2": 0.001004540165880714 }, "V": { "bc": -0.01229185060625047, "bs": -0.0037035170126675067, "sigma2": 0.0010052043161403916 }, "S": { "sigma2": 0.001005203465589767, "tau2": 0.0 }, "J": { "sigma2": 0.0010044449161849362, "tau2": 7.585494048308354e-07 } } }, { "pair_id": 84, "scores_nats_record": { "W": 8386.361153779653, "A": 8386.541308713293, "V": 8386.897136442307, "S": 8386.361153779653, "J": 8386.361153779653 }, "max_nonwhite_minus_white_nats_record": 0.5359826626536233, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.3558277290139813 }, "parameters": { "W": { "sigma2": 0.0010097792061463324 }, "A": { "a": 0.02301042376447793, "sigma2": 0.0010092446694522014 }, "V": { "bc": 0.018120496202986336, "bs": -0.016346898008104363, "sigma2": 0.0010097778850701293 }, "S": { "sigma2": 0.0010097792061463324, "tau2": 0.0 }, "J": { "sigma2": 0.0010097792061463324, "tau2": 0.0 } } }, { "pair_id": 85, "scores_nats_record": { "W": 8349.002368542726, "A": 8349.157009391141, "V": 8348.33504022381, "S": 8349.002368542726, "J": 8349.002368542726 }, "max_nonwhite_minus_white_nats_record": 0.15464084841551085, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.15464084841551085 }, "parameters": { "W": { "sigma2": 0.001006614427611065 }, "A": { "a": -0.014716169096136754, "sigma2": 0.0010063964150900486 }, "V": { "bc": 0.03605573878108007, "bs": -0.036353328432257005, "sigma2": 0.0010066346691900239 }, "S": { "sigma2": 0.001006614427611065, "tau2": 0.0 }, "J": { "sigma2": 0.001006614427611065, "tau2": 0.0 } } }, { "pair_id": 86, "scores_nats_record": { "W": 8350.046873672518, "A": 8350.403424894821, "V": 8350.184000992329, "S": 8350.155495120838, "J": 8349.736982071174 }, "max_nonwhite_minus_white_nats_record": 0.35655122230309644, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.21942390249205346 }, "parameters": { "W": { "sigma2": 0.000987425471019247 }, "A": { "a": -0.016037666879705495, "sigma2": 0.0009871713754777058 }, "V": { "bc": 0.023002577096130326, "bs": 0.01236978696871967, "sigma2": 0.0009874246066462005 }, "S": { "sigma2": 0.0009871237822454172, "tau2": 3.016887738297457e-07 }, "J": { "sigma2": 0.0009848598450236947, "tau2": 2.5656259955522185e-06 } } }, { "pair_id": 87, "scores_nats_record": { "W": 8274.145163417454, "A": 8273.584617441451, "V": 8271.226178798031, "S": 8274.145163417454, "J": 8273.827125035397 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0009766353830191969 }, "A": { "a": -0.021226748446942317, "sigma2": 0.0009761953236722718 }, "V": { "bc": 0.05150914786021509, "bs": -0.022273269817270933, "sigma2": 0.0009766504367229054 }, "S": { "sigma2": 0.0009766353830191969, "tau2": 0.0 }, "J": { "sigma2": 0.0009756166405760861, "tau2": 1.0187424431107688e-06 } } }, { "pair_id": 88, "scores_nats_record": { "W": 8318.814796935545, "A": 8318.729490374353, "V": 8316.85277215601, "S": 8318.814796935545, "J": 8318.814796935545 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "S", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.0010173265900880488 }, "A": { "a": -0.018663119247020927, "sigma2": 0.0010169722371696052 }, "V": { "bc": -0.06326010640667533, "bs": 0.0006600606458719029, "sigma2": 0.00101732189446919 }, "S": { "sigma2": 0.0010173265900880488, "tau2": 0.0 }, "J": { "sigma2": 0.0010173265900880488, "tau2": 0.0 } } }, { "pair_id": 89, "scores_nats_record": { "W": 8314.071761089612, "A": 8311.884320608504, "V": 8308.005102618245, "S": 8313.685244410244, "J": 8314.102609779457 }, "max_nonwhite_minus_white_nats_record": 0.03084868984478817, "winner": { "models": [ "J" ], "minimum_winning_margin": 0.03084868984478817 }, "parameters": { "W": { "sigma2": 0.001027757517748121 }, "A": { "a": 0.0160308542251979, "sigma2": 0.0010274933991152877 }, "V": { "bc": 0.04061901721709722, "bs": -0.1050730095962327, "sigma2": 0.0010277398668087222 }, "S": { "sigma2": 0.001023243051128626, "tau2": 4.514466619494957e-06 }, "J": { "sigma2": 0.0010274744303135303, "tau2": 2.830874345907841e-07 } } }, { "pair_id": 90, "scores_nats_record": { "W": 8399.083301020357, "A": 8397.561564380667, "V": 8399.826739240409, "S": 8396.763412526769, "J": 8398.955935598817 }, "max_nonwhite_minus_white_nats_record": 0.7434382200517575, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.7434382200517575 }, "parameters": { "W": { "sigma2": 0.0009543552632477982 }, "A": { "a": 0.024007327268213894, "sigma2": 0.0009538055126744202 }, "V": { "bc": -0.01014453084019124, "bs": 0.013436985605494356, "sigma2": 0.0009543577638665656 }, "S": { "sigma2": 0.0009483452173336865, "tau2": 6.0100459141116715e-06 }, "J": { "sigma2": 0.0009541821083534623, "tau2": 1.7315489433580825e-07 } } }, { "pair_id": 91, "scores_nats_record": { "W": 8356.84227397104, "A": 8356.880157722404, "V": 8356.507197251301, "S": 8356.84227397104, "J": 8355.103615843373 }, "max_nonwhite_minus_white_nats_record": 0.03788375136355171, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.03788375136355171 }, "parameters": { "W": { "sigma2": 0.0009502331076277268 }, "A": { "a": -0.0011812731075767924, "sigma2": 0.0009502317813530981 }, "V": { "bc": -0.02263586631085608, "bs": 0.020438108383649786, "sigma2": 0.0009502372942595234 }, "S": { "sigma2": 0.0009502331076277268, "tau2": 0.0 }, "J": { "sigma2": 0.0009472989611997399, "tau2": 2.9341464279869555e-06 } } }, { "pair_id": 92, "scores_nats_record": { "W": 8294.089790507087, "A": 8293.212575468713, "V": 8291.911954671212, "S": 8293.459981635027, "J": 8294.089790507087 }, "max_nonwhite_minus_white_nats_record": 0.0, "winner": { "models": [ "W", "J" ], "minimum_winning_margin": 0.0 }, "parameters": { "W": { "sigma2": 0.000989433614800889 }, "A": { "a": -0.013372988411383686, "sigma2": 0.000989256589129715 }, "V": { "bc": 0.03395215404814757, "bs": -0.0027060458911584485, "sigma2": 0.000989436823433511 }, "S": { "sigma2": 0.0009879573055373713, "tau2": 1.4763092635179225e-06 }, "J": { "sigma2": 0.000989433614800889, "tau2": 0.0 } } }, { "pair_id": 93, "scores_nats_record": { "W": 8331.289392055047, "A": 8326.222737338469, "V": 8329.620617201166, "S": 8331.423888814674, "J": 8331.289392055047 }, "max_nonwhite_minus_white_nats_record": 0.1344967596269271, "winner": { "models": [ "S" ], "minimum_winning_margin": 0.1344967596269271 }, "parameters": { "W": { "sigma2": 0.001030951889522476 }, "A": { "a": -0.028533085034011106, "sigma2": 0.001030112281305582 }, "V": { "bc": -0.09282348015570689, "bs": -0.05286740891423117, "sigma2": 0.0010309539637189582 }, "S": { "sigma2": 0.0010294501087708323, "tau2": 1.501780751643412e-06 }, "J": { "sigma2": 0.001030951889522476, "tau2": 0.0 } } }, { "pair_id": 94, "scores_nats_record": { "W": 8357.067690965798, "A": 8357.069682177977, "V": 8356.50672154558, "S": 8356.621846714164, "J": 8357.067690965798 }, "max_nonwhite_minus_white_nats_record": 0.0019912121788365766, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.0019912121788365766 }, "parameters": { "W": { "sigma2": 0.0010186849717631155 }, "A": { "a": 0.004151537341913939, "sigma2": 0.0010186674123009323 }, "V": { "bc": -0.019007952247634463, "bs": 0.0075089517593639596, "sigma2": 0.0010186871188668323 }, "S": { "sigma2": 0.0010142823277376398, "tau2": 4.402644025475737e-06 }, "J": { "sigma2": 0.0010186849717631155, "tau2": 0.0 } } }, { "pair_id": 95, "scores_nats_record": { "W": 8305.644946528964, "A": 8306.48651364941, "V": 8303.583276542102, "S": 8305.644946528964, "J": 8305.644946528964 }, "max_nonwhite_minus_white_nats_record": 0.8415671204456885, "winner": { "models": [ "A" ], "minimum_winning_margin": 0.8415671204456885 }, "parameters": { "W": { "sigma2": 0.000993460588548292 }, "A": { "a": 0.012752443821600366, "sigma2": 0.0009932989751129852 }, "V": { "bc": 0.000941285975479189, "bs": 0.06070731317738129, "sigma2": 0.0009934533297825889 }, "S": { "sigma2": 0.000993460588548292, "tau2": 0.0 }, "J": { "sigma2": 0.000993460588548292, "tau2": 0.0 } } }, { "pair_id": 96, "scores_nats_record": { "W": 8430.074614209345, "A": 8428.246082745638, "V": 8430.480438832496, "S": 8429.48024980519, "J": 8430.074614209345 }, "max_nonwhite_minus_white_nats_record": 0.4058246231506928, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.4058246231506928 }, "parameters": { "W": { "sigma2": 0.0009736755072628804 }, "A": { "a": -0.022827645360746253, "sigma2": 0.000973168491472828 }, "V": { "bc": -0.01879765369205162, "bs": -0.022851076479778323, "sigma2": 0.0009736687083259241 }, "S": { "sigma2": 0.0009718456807657073, "tau2": 1.8298264971730883e-06 }, "J": { "sigma2": 0.0009736755072628804, "tau2": 0.0 } } }, { "pair_id": 97, "scores_nats_record": { "W": 8282.759388249715, "A": 8282.659311915166, "V": 8283.2009587671, "S": 8282.379281068128, "J": 8282.759388249715 }, "max_nonwhite_minus_white_nats_record": 0.44157051738511655, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.44157051738511655 }, "parameters": { "W": { "sigma2": 0.0010114527401623 }, "A": { "a": -0.0009314761025898204, "sigma2": 0.0010114518628422933 }, "V": { "bc": -0.03279843028192782, "bs": 0.0007100783388040835, "sigma2": 0.0010114588842890686 }, "S": { "sigma2": 0.0010094855807208762, "tau2": 1.967159441423968e-06 }, "J": { "sigma2": 0.0010114527401623, "tau2": 0.0 } } }, { "pair_id": 98, "scores_nats_record": { "W": 8208.149160284678, "A": 8208.08856863735, "V": 8208.879981463511, "S": 8207.6423041584, "J": 8206.148884175418 }, "max_nonwhite_minus_white_nats_record": 0.7308211788331391, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.7308211788331391 }, "parameters": { "W": { "sigma2": 0.0010443563700480547 }, "A": { "a": -0.006629472269278143, "sigma2": 0.0010443104632125917 }, "V": { "bc": -0.01047083097821649, "bs": -0.03820315216355666, "sigma2": 0.001044361391464851 }, "S": { "sigma2": 0.0010423063402915033, "tau2": 2.0500297565514936e-06 }, "J": { "sigma2": 0.0010398288479715942, "tau2": 4.5275220764603526e-06 } } }, { "pair_id": 99, "scores_nats_record": { "W": 8334.716611241949, "A": 8333.990731412143, "V": 8335.397346329464, "S": 8334.761443590138, "J": 8334.716611241949 }, "max_nonwhite_minus_white_nats_record": 0.6807350875151315, "winner": { "models": [ "V" ], "minimum_winning_margin": 0.6359027393264114 }, "parameters": { "W": { "sigma2": 0.0010223936666773751 }, "A": { "a": 0.004603978523990041, "sigma2": 0.0010223719996939403 }, "V": { "bc": -0.022277727651517892, "bs": -0.00508681698728275, "sigma2": 0.0010223965285740236 }, "S": { "sigma2": 0.0010222240374871464, "tau2": 1.6962919022852127e-07 }, "J": { "sigma2": 0.0010223936666773751, "tau2": 0.0 } } } ], "all_73_single_nonwhite_margin_nats_cycle": { "n": 73, "min": 3.111269029432151e-05, "q25": 0.0020181027646231087, "median": 0.004779121547784371, "q75": 0.008896302663259803, "p95": 0.017651787573822724, "max": 0.03504532180346587 } }