`sjstats::hdi` with `BFmcmc` objects

[IndrajeetPatil]

sjstats::hdi has S3 methods for classes stanreg and brmsfit, but the default method also seems to work with BFmcmc class objects from BayesFactor package. But I am actually not sure what the HDI here represents and there is no documentation in this regard.

Here are two examples for completely different kinds of analyses: correlation and contingency tabs.

What do the results from sjstats::hdi here represent?

# setup
set.seed(123)
suppressPackageStartupMessages(library(BayesFactor))
data(raceDolls)

# creating object of class `BFmcmc`

# for correlation
(
  p_samples1 <- BayesFactor::correlationBF(
    y = iris$Sepal.Length,
    x = iris$Sepal.Width,
    posterior = TRUE,
    iterations = 500
  )
)
#> Independent-candidate M-H acceptance rate: 96%
#> Object of class "mcmc"
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 500 
#> Thinning interval = 1 
#>                 rho         zeta
#>   [1,] -0.162727236 -0.164186845
#>   [2,] -0.020278868 -0.020281648
#>   [3,] -0.111850310 -0.112320276
#>   [4,] -0.126393395 -0.127072978
#>   [5,] -0.218521961 -0.222103423
#>   [6,] -0.017495341 -0.017497127
#>   [7,]  0.089472052  0.089711954
#>   [8,] -0.108588121 -0.109017967
#>   [9,] -0.201537389 -0.204334516
#>  [10,] -0.272693090 -0.279770965
#>  [11,] -0.180589361 -0.182591852
#>  [12,] -0.135200519 -0.136033458
#>  [13,] -0.204438161 -0.207359950
#>  [14,] -0.251263843 -0.256761367
#>  [15,] -0.210718609 -0.213923227
#>  [16,] -0.208564708 -0.211670310
#>  [17,] -0.222155627 -0.225922509
#>  [18,] -0.044507730 -0.044537154
#>  [19,] -0.045195957 -0.045226768
#>  [20,] -0.072457078 -0.072584280
#>  [21,] -0.094281032 -0.094561883
#>  [22,] -0.134388808 -0.135206725
#>  [23,] -0.130836745 -0.131591073
#>  [24,] -0.207382817 -0.210434987
#>  [25,] -0.084734058 -0.084937729
#>  [26,] -0.053950856 -0.054003293
#>  [27,] -0.152439356 -0.153636881
#>  [28,] -0.005617557 -0.005617616
#>  [29,] -0.201543884 -0.204341286
#>  [30,] -0.240611159 -0.245422727
#>  [31,] -0.203206686 -0.206075097
#>  [32,] -0.086691697 -0.086909857
#>  [33,] -0.086691697 -0.086909857
#>  [34,] -0.077201800 -0.077355728
#>  [35,] -0.113270913 -0.113759110
#>  [36,] -0.052834475 -0.052883720
#>  [37,] -0.298551444 -0.307928543
#>  [38,] -0.176661773 -0.178534808
#>  [39,] -0.172915034 -0.174669990
#>  [40,] -0.172731480 -0.174480786
#>  [41,] -0.102848025 -0.103212976
#>  [42,] -0.147833116 -0.148924408
#>  [43,] -0.147500226 -0.148584097
#>  [44,] -0.179324030 -0.181284172
#>  [45,] -0.090594645 -0.090843721
#>  [46,] -0.093162302 -0.093433239
#>  [47,] -0.023680198 -0.023684626
#>  [48,] -0.156995958 -0.158305240
#>  [49,] -0.098175150 -0.098492403
#>  [50,] -0.104367465 -0.104748904
#>  [51,]  0.061603528  0.061681634
#>  [52,] -0.084184639 -0.084384363
#>  [53,] -0.174700515 -0.176511090
#>  [54,] -0.114513986 -0.115018520
#>  [55,] -0.193854024 -0.196338595
#>  [56,] -0.080782960 -0.080959378
#>  [57,] -0.148269389 -0.149370458
#>  [58,] -0.003248256 -0.003248267
#>  [59,] -0.245957257 -0.251105170
#>  [60,] -0.004959360 -0.004959401
#>  [61,] -0.169140522 -0.170781740
#>  [62,] -0.039035861 -0.039055707
#>  [63,] -0.108022408 -0.108445540
#>  [64,] -0.089928175 -0.090171777
#>  [65,] -0.138275154 -0.139166679
#>  [66,] -0.098447463 -0.098767373
#>  [67,] -0.053112764 -0.053162792
#>  [68,] -0.123346204 -0.123977519
#>  [69,]  0.017221665  0.017223367
#>  [70,] -0.151665839 -0.152845056
#>  [71,] -0.116998142 -0.117536415
#>  [72,] -0.233775858 -0.238179905
#>  [73,] -0.066350367 -0.066447992
#>  [74,] -0.060356263 -0.060429713
#>  [75,] -0.178288834 -0.180214786
#>  [76,] -0.237969809 -0.242620945
#>  [77,] -0.219491527 -0.223121837
#>  [78,]  0.054457930  0.054511861
#>  [79,] -0.049237794 -0.049277642
#>  [80,] -0.054846054 -0.054901148
#>  [81,] -0.121448286 -0.122050735
#>  [82,] -0.127241528 -0.127934974
#>  [83,] -0.124752634 -0.125405930
#>  [84,] -0.037791306 -0.037809313
#>  [85,] -0.030446583 -0.030455996
#>  [86,] -0.201559775 -0.204357849
#>  [87,] -0.262161680 -0.268428214
#>  [88,] -0.151212927 -0.152381513
#>  [89,] -0.163030819 -0.164498701
#>  [90,] -0.156583661 -0.157882553
#>  [91,] -0.088100368 -0.088329371
#>  [92,] -0.178265477 -0.180190662
#>  [93,]  0.056780499  0.056841638
#>  [94,]  0.033516216  0.033528774
#>  [95,] -0.092330946 -0.092594670
#>  [96,] -0.134126506 -0.134939609
#>  [97,] -0.202675314 -0.205520900
#>  [98,] -0.053489733 -0.053540835
#>  [99,] -0.136677347 -0.137538091
#> [100,] -0.150245073 -0.151391159
#> [101,] -0.056074308 -0.056133191
#> [102,]  0.038118515  0.038136993
#> [103,] -0.143801351 -0.144805048
#> [104,] -0.005849823 -0.005849889
#> [105,] -0.222099295 -0.225863253
#> [106,] -0.217442301 -0.220969903
#> [107,] -0.219342288 -0.222965050
#> [108,] -0.101942078 -0.102297430
#> [109,] -0.151010703 -0.152174564
#> [110,] -0.039153062 -0.039173087
#> [111,] -0.121947167 -0.122557115
#> [112,] -0.087493054 -0.087717339
#> [113,] -0.016805555 -0.016807137
#> [114,] -0.140524695 -0.141460801
#> [115,] -0.153164562 -0.154379424
#> [116,] -0.120204338 -0.120788357
#> [117,] -0.163807175 -0.165296360
#> [118,] -0.195467270 -0.198015380
#> [119,] -0.059880900 -0.059952626
#> [120,] -0.081019472 -0.081197448
#> [121,] -0.174237465 -0.176033503
#> [122,] -0.063229622 -0.063314089
#> [123,] -0.100144241 -0.100481048
#> [124,] -0.045800678 -0.045832744
#> [125,] -0.132371034 -0.133152405
#> [126,] -0.128862419 -0.129582887
#> [127,] -0.180926480 -0.182940357
#> [128,] -0.077725410 -0.077882499
#> [129,] -0.132058177 -0.132833981
#> [130,] -0.225928000 -0.229894248
#> [131,] -0.248385477 -0.253691394
#> [132,] -0.147897662 -0.148990396
#> [133,] -0.229467391 -0.233627181
#> [134,] -0.110227543 -0.110677252
#> [135,] -0.228142492 -0.232229090
#> [136,] -0.066171526 -0.066268362
#> [137,] -0.044372119 -0.044401275
#> [138,] -0.044372119 -0.044401275
#> [139,] -0.079728472 -0.079898054
#> [140,]  0.070257954  0.070373900
#> [141,] -0.043941740 -0.043970055
#> [142,] -0.148956941 -0.150073538
#> [143,] -0.165818315 -0.167363655
#> [144,] -0.038976963 -0.038996719
#> [145,]  0.029920504  0.029929438
#> [146,] -0.153597515 -0.154822808
#> [147,] -0.018138887 -0.018140877
#> [148,] -0.018138887 -0.018140877
#> [149,] -0.018138887 -0.018140877
#> [150,] -0.086170604 -0.086384842
#> [151,] -0.045221753 -0.045252618
#> [152,] -0.099616850 -0.099948342
#> [153,] -0.281961868 -0.289812109
#> [154,] -0.144827184 -0.145852700
#> [155,] -0.164086702 -0.165583608
#> [156,]  0.035323543  0.035338246
#> [157,] -0.021214834 -0.021218018
#> [158,] -0.015372475 -0.015373686
#> [159,] -0.155631889 -0.156907007
#> [160,] -0.201822859 -0.204632089
#> [161,] -0.143490984 -0.144488142
#> [162,] -0.143490984 -0.144488142
#> [163,] -0.054082001 -0.054134821
#> [164,]  0.049331446  0.049371522
#> [165,] -0.142929178 -0.143914573
#> [166,] -0.166008844 -0.167559577
#> [167,] -0.158810714 -0.160166402
#> [168,] -0.126126895 -0.126802161
#> [169,] -0.179624450 -0.181594591
#> [170,] -0.043173274 -0.043200128
#> [171,] -0.049240142 -0.049279996
#> [172,] -0.224284100 -0.228162599
#> [173,] -0.226702829 -0.230710904
#> [174,] -0.061833509 -0.061912495
#> [175,] -0.030242018 -0.030251242
#> [176,] -0.034459576 -0.034473226
#> [177,] -0.232158670 -0.236469908
#> [178,] -0.086875376 -0.087094930
#> [179,] -0.113234632 -0.113722358
#> [180,] -0.133812759 -0.134620128
#> [181,] -0.184572929 -0.186712801
#> [182,] -0.039266075 -0.039286274
#> [183,] -0.193837487 -0.196321413
#> [184,] -0.193837487 -0.196321413
#> [185,] -0.203977747 -0.206879501
#> [186,] -0.195624754 -0.198179125
#> [187,] -0.169318661 -0.170965132
#> [188,] -0.108104404 -0.108528505
#> [189,] -0.132059823 -0.132835657
#> [190,] -0.084097596 -0.084296699
#> [191,]  0.092987120  0.093256527
#> [192,] -0.070604708 -0.070722383
#> [193,] -0.033875443 -0.033888409
#> [194,] -0.275084348 -0.282356152
#> [195,] -0.193362720 -0.195828158
#> [196,]  0.069933010  0.070047351
#> [197,]  0.080367810  0.080541515
#> [198,] -0.097542489 -0.097853625
#> [199,] -0.050227921 -0.050270224
#> [200,]  0.016009742  0.016011110
#> [201,] -0.118729429 -0.119292093
#> [202,] -0.184081182 -0.186203758
#> [203,] -0.103382909 -0.103753609
#> [204,] -0.135499161 -0.136337674
#> [205,] -0.004798226 -0.004798263
#> [206,] -0.046673974 -0.046707911
#> [207,] -0.152721615 -0.153925868
#> [208,] -0.046339675 -0.046372888
#> [209,] -0.287164773 -0.295473467
#> [210,] -0.125424224 -0.126088195
#> [211,] -0.163774121 -0.165262394
#> [212,] -0.119717705 -0.120294619
#> [213,] -0.218179221 -0.221743525
#> [214,] -0.169537279 -0.171190211
#> [215,] -0.210962616 -0.214178586
#> [216,]  0.034858530  0.034872659
#> [217,] -0.248478111 -0.253790121
#> [218,] -0.019810472 -0.019813064
#> [219,] -0.160992921 -0.162405871
#> [220,] -0.104969016 -0.105357118
#> [221,] -0.095805381 -0.096100128
#> [222,] -0.231665985 -0.235949218
#> [223,] -0.323348005 -0.335381536
#> [224,] -0.102819339 -0.103183984
#> [225,] -0.162311305 -0.163759630
#> [226,] -0.211488073 -0.214728581
#> [227,] -0.013535519 -0.013536345
#> [228,] -0.068527829 -0.068635402
#> [229,] -0.116667519 -0.117201217
#> [230,] -0.017720582 -0.017722437
#> [231,] -0.086790865 -0.087009777
#> [232,] -0.166715533 -0.168286382
#> [233,] -0.203786024 -0.206679463
#> [234,] -0.111995230 -0.112467035
#> [235,] -0.111995230 -0.112467035
#> [236,] -0.002027899 -0.002027902
#> [237,] -0.063785650 -0.063872368
#> [238,] -0.160364421 -0.161760714
#> [239,] -0.081861755 -0.082045356
#> [240,] -0.060205519 -0.060278420
#> [241,] -0.247385153 -0.252625578
#> [242,] -0.100430849 -0.100770568
#> [243,] -0.059259215 -0.059328728
#> [244,] -0.234130927 -0.238555533
#> [245,] -0.026845364 -0.026851815
#> [246,]  0.025277256  0.025282642
#> [247,] -0.141423521 -0.142377852
#> [248,] -0.254506183 -0.260225227
#> [249,] -0.149110062 -0.150230138
#> [250,] -0.053213813 -0.053264128
#> [251,] -0.057152076 -0.057214425
#> [252,] -0.024287518 -0.024292295
#> [253,]  0.044233532  0.044262415
#> [254,] -0.134407791 -0.135226058
#> [255,] -0.136925138 -0.137790608
#> [256,] -0.158908110 -0.160266320
#> [257,]  0.022630707  0.022634572
#> [258,]  0.028345753  0.028353348
#> [259,] -0.127825325 -0.128528424
#> [260,] -0.008937217 -0.008937455
#> [261,] -0.212716884 -0.216015278
#> [262,] -0.042895792 -0.042922131
#> [263,] -0.087715959 -0.087941968
#> [264,] -0.126136022 -0.126811436
#> [265,] -0.060687733 -0.060762402
#> [266,] -0.187632386 -0.189882025
#> [267,] -0.178609166 -0.180545654
#> [268,] -0.104186742 -0.104566195
#> [269,] -0.139832759 -0.140754996
#> [270,] -0.197180751 -0.199797552
#> [271,] -0.160902258 -0.162312797
#> [272,] -0.189446004 -0.191762488
#> [273,] -0.056321167 -0.056380832
#> [274,] -0.123985943 -0.124627193
#> [275,] -0.139149407 -0.140058083
#> [276,] -0.100871788 -0.101216020
#> [277,] -0.106307423 -0.106710630
#> [278,] -0.128240142 -0.128950153
#> [279,] -0.107782833 -0.108203142
#> [280,] -0.132482761 -0.133266126
#> [281,] -0.070191880 -0.070307498
#> [282,] -0.173745186 -0.175525856
#> [283,] -0.292085471 -0.300844736
#> [284,] -0.109541129 -0.109982448
#> [285,] -0.084191850 -0.084391625
#> [286,] -0.071113036 -0.071233275
#> [287,] -0.158391520 -0.159736391
#> [288,] -0.071746182 -0.071869669
#> [289,]  0.041807571  0.041831954
#> [290,] -0.033291340 -0.033303647
#> [291,] -0.088387019 -0.088618272
#> [292,] -0.266218155 -0.272789068
#> [293,] -0.139658128 -0.140576887
#> [294,] -0.135235581 -0.136069173
#> [295,] -0.213216570 -0.216538704
#> [296,] -0.121607707 -0.122212545
#> [297,] -0.213315341 -0.216642182
#> [298,] -0.060748107 -0.060823000
#> [299,] -0.162466337 -0.163918861
#> [300,] -0.068192167 -0.068298165
#> [301,] -0.026809688 -0.026816114
#> [302,]  0.008076250  0.008076425
#> [303,] -0.233646134 -0.238042686
#> [304,] -0.173274036 -0.175040081
#> [305,] -0.184519560 -0.186657551
#> [306,] -0.156753855 -0.158057029
#> [307,] -0.212340999 -0.215621611
#> [308,] -0.042946449 -0.042972882
#> [309,] -0.069773126 -0.069886683
#> [310,] -0.162625701 -0.164082550
#> [311,] -0.039080690 -0.039100604
#> [312,]  0.020177283  0.020180022
#> [313,] -0.091522290 -0.091779123
#> [314,] -0.204401353 -0.207321537
#> [315,] -0.062692575 -0.062774904
#> [316,] -0.143956809 -0.144963793
#> [317,] -0.143135550 -0.144125255
#> [318,] -0.233543140 -0.237933747
#> [319,] -0.200753644 -0.203517724
#> [320,] -0.137675454 -0.138555340
#> [321,] -0.070079370 -0.070194432
#> [322,] -0.089529177 -0.089769540
#> [323,] -0.079726329 -0.079895897
#> [324,] -0.205806680 -0.208788579
#> [325,] -0.076527189 -0.076677108
#> [326,] -0.076527189 -0.076677108
#> [327,] -0.141157485 -0.142106397
#> [328,] -0.120270774 -0.120855768
#> [329,] -0.198003157 -0.200653371
#> [330,] -0.134616167 -0.135438273
#> [331,] -0.115969076 -0.116493195
#> [332,] -0.141794435 -0.142756356
#> [333,]  0.014298556  0.014299530
#> [334,]  0.014298556  0.014299530
#> [335,]  0.014298556  0.014299530
#> [336,] -0.320293769 -0.331974426
#> [337,] -0.099356511 -0.099685401
#> [338,] -0.099356511 -0.099685401
#> [339,] -0.154903085 -0.156160198
#> [340,] -0.103101222 -0.103468887
#> [341,] -0.068358707 -0.068465485
#> [342,] -0.103719429 -0.104093777
#> [343,] -0.027071198 -0.027077814
#> [344,] -0.093816162 -0.094092864
#> [345,] -0.074146055 -0.074282381
#> [346,]  0.007872477  0.007872639
#> [347,] -0.104038583 -0.104416412
#> [348,] -0.065732041 -0.065826957
#> [349,] -0.139686391 -0.140605712
#> [350,] -0.104795493 -0.105181665
#> [351,] -0.107519068 -0.107936285
#> [352,] -0.044160842 -0.044189583
#> [353,] -0.033573458 -0.033586081
#> [354,] -0.057159080 -0.057221452
#> [355,] -0.103445795 -0.103817174
#> [356,] -0.106320465 -0.106723821
#> [357,] -0.078447332 -0.078608850
#> [358,] -0.145236613 -0.146270926
#> [359,] -0.054845230 -0.054900321
#> [360,] -0.261984601 -0.268238076
#> [361,] -0.004638402 -0.004638435
#> [362,] -0.004638402 -0.004638435
#> [363,] -0.155214921 -0.156479716
#> [364,] -0.130143028 -0.130885339
#> [365,] -0.063160344 -0.063244533
#> [366,] -0.159324888 -0.160693924
#> [367,] -0.172076311 -0.173805546
#> [368,] -0.110164958 -0.110613898
#> [369,] -0.319203964 -0.330760511
#> [370,] -0.223423746 -0.227256858
#> [371,] -0.044497322 -0.044526725
#> [372,] -0.130487139 -0.131235395
#> [373,] -0.197428840 -0.200055690
#> [374,] -0.191268652 -0.193653665
#> [375,] -0.136899126 -0.137764099
#> [376,] -0.041737909 -0.041762171
#> [377,] -0.124975063 -0.125631882
#> [378,] -0.124975063 -0.125631882
#> [379,]  0.083738739  0.083935297
#> [380,] -0.048352206 -0.048389940
#> [381,] -0.176119646 -0.177975273
#> [382,] -0.107924688 -0.108346667
#> [383,]  0.015429048  0.015430273
#> [384,] -0.190101090 -0.192442048
#> [385,] -0.156988212 -0.158297299
#> [386,] -0.030884712 -0.030894538
#> [387,]  0.004791081  0.004791118
#> [388,] -0.124593112 -0.125243888
#> [389,] -0.159757444 -0.161137778
#> [390,] -0.140793762 -0.141735299
#> [391,] -0.028688135 -0.028696009
#> [392,] -0.200967958 -0.203741048
#> [393,] -0.117903217 -0.118454150
#> [394,] -0.117903217 -0.118454150
#> [395,] -0.166853724 -0.168428527
#> [396,] -0.071643461 -0.071766417
#> [397,] -0.049441783 -0.049482129
#> [398,] -0.037020330 -0.037037256
#> [399,] -0.037020330 -0.037037256
#> [400,] -0.122111370 -0.122723801
#> [401,] -0.237575498 -0.242203006
#> [402,] -0.125399993 -0.126063577
#> [403,] -0.040242752 -0.040264497
#> [404,]  0.077602991  0.077759337
#> [405,] -0.134044355 -0.134855954
#> [406,] -0.134044355 -0.134855954
#> [407,] -0.184921896 -0.187074100
#> [408,] -0.126453602 -0.127134163
#> [409,] -0.106008036 -0.106407830
#> [410,] -0.127317642 -0.128012342
#> [411,] -0.178878689 -0.180824072
#> [412,] -0.278091579 -0.285612500
#> [413,] -0.187599253 -0.189847682
#> [414,] -0.067332436 -0.067434468
#> [415,] -0.134230141 -0.135045145
#> [416,] -0.013181146 -0.013181909
#> [417,] -0.171833047 -0.173554870
#> [418,] -0.249818172 -0.255218871
#> [419,] -0.106780439 -0.107189077
#> [420,] -0.245948844 -0.251096215
#> [421,]  0.044460387  0.044489717
#> [422,] -0.117898941 -0.118449814
#> [423,] -0.155630786 -0.156905877
#> [424,] -0.140127494 -0.141055622
#> [425,] -0.157005699 -0.158315228
#> [426,] -0.211594057 -0.214839530
#> [427,] -0.027415802 -0.027422674
#> [428,] -0.272052927 -0.279079504
#> [429,] -0.117973064 -0.118524983
#> [430,] -0.190841854 -0.193210697
#> [431,] -0.091127485 -0.091380997
#> [432,] -0.131378713 -0.132142521
#> [433,] -0.018620112 -0.018622264
#> [434,] -0.153547577 -0.154771664
#> [435,] -0.191487779 -0.193881123
#> [436,] -0.088596812 -0.088829720
#> [437,] -0.042667354 -0.042693275
#> [438,] -0.023341016 -0.023345257
#> [439,] -0.123755024 -0.124392675
#> [440,] -0.123695645 -0.124332374
#> [441,] -0.130381295 -0.131127720
#> [442,] -0.273677062 -0.280834293
#> [443,] -0.123861420 -0.124500728
#> [444,] -0.188928756 -0.191226039
#> [445,] -0.133277608 -0.134075260
#> [446,] -0.169967507 -0.171633204
#> [447,] -0.215696388 -0.219138072
#> [448,]  0.012294564  0.012295184
#> [449,] -0.139211461 -0.140121363
#> [450,] -0.069550633 -0.069663105
#> [451,] -0.263997179 -0.270400195
#> [452,] -0.031440907 -0.031451274
#> [453,] -0.087967679 -0.088195645
#> [454,]  0.006538636  0.006538729
#> [455,] -0.105559099 -0.105953813
#> [456,] -0.105559099 -0.105953813
#> [457,] -0.089845612 -0.090088541
#> [458,] -0.089845612 -0.090088541
#> [459,] -0.097657454 -0.097969695
#> [460,] -0.169368988 -0.171016944
#> [461,] -0.085636665 -0.085846933
#> [462,] -0.071774307 -0.071897939
#> [463,] -0.071015131 -0.071134874
#> [464,]  0.072529918  0.072657505
#> [465,] -0.238722848 -0.243419340
#> [466,] -0.105660806 -0.106056667
#> [467,] -0.142817741 -0.143800813
#> [468,] -0.228238975 -0.232330873
#> [469,] -0.084994129 -0.085199686
#> [470,]  0.091484907  0.091741423
#> [471,]  0.007665602  0.007665752
#> [472,] -0.160065989 -0.161454419
#> [473,]  0.035139954  0.035154429
#> [474,] -0.205528930 -0.208498561
#> [475,] -0.053987249 -0.054039792
#> [476,]  0.042207158  0.042232248
#> [477,] -0.092132885 -0.092394909
#> [478,] -0.282301080 -0.290180656
#> [479,] -0.149601959 -0.150733258
#> [480,] -0.200688530 -0.203449876
#> [481,] -0.126140799 -0.126816290
#> [482,] -0.085414280 -0.085622910
#> [483,] -0.166410613 -0.167972761
#> [484,] -0.206856322 -0.209884894
#> [485,] -0.034322830 -0.034336317
#> [486,] -0.097986754 -0.098302177
#> [487,] -0.152579711 -0.153780578
#> [488,] -0.198793119 -0.201475702
#> [489,] -0.248039161 -0.253322341
#> [490,] -0.028952967 -0.028961062
#> [491,] -0.097537402 -0.097848489
#> [492,] -0.121505026 -0.122108325
#> [493,] -0.127892628 -0.128596845
#> [494,]  0.093312382  0.093584636
#> [495,] -0.020870069 -0.020873100
#> [496,] -0.027968074 -0.027975369
#> [497,] -0.156240046 -0.157530321
#> [498,]  0.012857464  0.012858173
#> [499,] -0.121298821 -0.121899035
#> [500,] -0.120530557 -0.121119372
#> ---
#>  Model:
#> Type: BFcorrelation, Jeffreys-beta*
#> Alternative, r = 0.333333333333333, rho =/= 0

# for contingency tabs analyses
(
  p_samples2 <-
    BayesFactor::contingencyTableBF(
      x = raceDolls,
      sampleType = "indepMulti",
      fixedMargin = "cols",
      posterior = TRUE,
      iterations = 500
    )
)
#> Object of class "mcmc"
#> Markov Chain Monte Carlo (MCMC) output:
#> Start = 1 
#> End = 500 
#> Thinning interval = 1 
#>          pi[1,1]    pi[2,1]   pi[1,2]   pi[2,2]   pi[*,1]   pi[*,2]
#>   [1,] 0.2908102 0.10034146 0.2796592 0.3291892 0.3911516 0.6088484
#>   [2,] 0.3398791 0.09695815 0.2943335 0.2688293 0.4368372 0.5631628
#>   [3,] 0.3163756 0.11111390 0.3212123 0.2512982 0.4274895 0.5725105
#>   [4,] 0.2916795 0.13282803 0.3433741 0.2321183 0.4245075 0.5754925
#>   [5,] 0.3107168 0.11095357 0.2916409 0.2866887 0.4216704 0.5783296
#>   [6,] 0.2979848 0.14265687 0.2883232 0.2710351 0.4406417 0.5593583
#>   [7,] 0.3386654 0.10406186 0.3182956 0.2389771 0.4427273 0.5572727
#>   [8,] 0.2846977 0.18975714 0.2723969 0.2531482 0.4744549 0.5255451
#>   [9,] 0.3248286 0.14054319 0.2833320 0.2512962 0.4653718 0.5346282
#>  [10,] 0.3070650 0.11837707 0.3711327 0.2034252 0.4254421 0.5745579
#>  [11,] 0.3146627 0.14863809 0.2869534 0.2497458 0.4633008 0.5366992
#>  [12,] 0.2895851 0.15368104 0.3396789 0.2170549 0.4432662 0.5567338
#>  [13,] 0.3287920 0.17064849 0.2559107 0.2446488 0.4994405 0.5005595
#>  [14,] 0.3193433 0.17268756 0.2766083 0.2313609 0.4920309 0.5079691
#>  [15,] 0.3268101 0.12499687 0.3366730 0.2115200 0.4518070 0.5481930
#>  [16,] 0.3571836 0.14660748 0.2711346 0.2250743 0.5037911 0.4962089
#>  [17,] 0.3122411 0.13139707 0.2092679 0.3470939 0.4436382 0.5563618
#>  [18,] 0.2905070 0.14314810 0.2791041 0.2872407 0.4336551 0.5663449
#>  [19,] 0.3593407 0.09228483 0.3180673 0.2303072 0.4516255 0.5483745
#>  [20,] 0.3078644 0.16114605 0.2655399 0.2654497 0.4690104 0.5309896
#>  [21,] 0.2993754 0.17424935 0.3122240 0.2141513 0.4736248 0.5263752
#>  [22,] 0.2974181 0.12542799 0.3495841 0.2275698 0.4228461 0.5771539
#>  [23,] 0.2958973 0.09742857 0.3726505 0.2340236 0.3933259 0.6066741
#>  [24,] 0.3035583 0.11705506 0.2885186 0.2908681 0.4206133 0.5793867
#>  [25,] 0.3796817 0.12806189 0.2587319 0.2335245 0.5077436 0.4922564
#>  [26,] 0.3322057 0.10590855 0.3278055 0.2340802 0.4381143 0.5618857
#>  [27,] 0.2756946 0.13848587 0.3239653 0.2618542 0.4141805 0.5858195
#>  [28,] 0.3151243 0.12659829 0.3319969 0.2262805 0.4417226 0.5582774
#>  [29,] 0.3305524 0.12560294 0.2441474 0.2996973 0.4561553 0.5438447
#>  [30,] 0.3221743 0.10627483 0.2830720 0.2884789 0.4284491 0.5715509
#>  [31,] 0.3688652 0.10002785 0.2937713 0.2373356 0.4688931 0.5311069
#>  [32,] 0.3501921 0.14667548 0.2760613 0.2270711 0.4968676 0.5031324
#>  [33,] 0.3577003 0.11003899 0.2831905 0.2490702 0.4677393 0.5322607
#>  [34,] 0.3383338 0.15487582 0.2949446 0.2118457 0.4932097 0.5067903
#>  [35,] 0.3084017 0.12733011 0.2584571 0.3058111 0.4357318 0.5642682
#>  [36,] 0.2573436 0.14621628 0.3711252 0.2253149 0.4035598 0.5964402
#>  [37,] 0.3096625 0.14748811 0.2753507 0.2674987 0.4571506 0.5428494
#>  [38,] 0.2803180 0.13472433 0.2716051 0.3133525 0.4150423 0.5849577
#>  [39,] 0.3696806 0.12809912 0.2643760 0.2378443 0.4977797 0.5022203
#>  [40,] 0.2749749 0.15699614 0.3142623 0.2537667 0.4319710 0.5680290
#>  [41,] 0.3071791 0.10690085 0.3100186 0.2759014 0.4140800 0.5859200
#>  [42,] 0.3654136 0.08972723 0.2751591 0.2697001 0.4551408 0.5448592
#>  [43,] 0.3146289 0.12382174 0.2741050 0.2874443 0.4384507 0.5615493
#>  [44,] 0.2626550 0.12244596 0.3153836 0.2995154 0.3851010 0.6148990
#>  [45,] 0.2373183 0.11471233 0.3553516 0.2926178 0.3520306 0.6479694
#>  [46,] 0.2416619 0.17579572 0.3144924 0.2680500 0.4174576 0.5825424
#>  [47,] 0.2715376 0.13019697 0.2992032 0.2990623 0.4017345 0.5982655
#>  [48,] 0.2865801 0.16078062 0.3303763 0.2222630 0.4473608 0.5526392
#>  [49,] 0.3449257 0.10488384 0.3292758 0.2209146 0.4498096 0.5501904
#>  [50,] 0.2488714 0.14059190 0.2928221 0.3177146 0.3894633 0.6105367
#>  [51,] 0.2867394 0.14336287 0.2917302 0.2781675 0.4301023 0.5698977
#>  [52,] 0.3065309 0.11803261 0.3655404 0.2098961 0.4245635 0.5754365
#>  [53,] 0.2730611 0.13256264 0.3212036 0.2731727 0.4056237 0.5943763
#>  [54,] 0.2659290 0.17537642 0.2919656 0.2667290 0.4413054 0.5586946
#>  [55,] 0.3037729 0.11999624 0.3458602 0.2303707 0.4237692 0.5762308
#>  [56,] 0.3492447 0.13156763 0.2861441 0.2330435 0.4808123 0.5191877
#>  [57,] 0.2956864 0.15244454 0.2786820 0.2731871 0.4481309 0.5518691
#>  [58,] 0.3149451 0.14483747 0.2762592 0.2639583 0.4597825 0.5402175
#>  [59,] 0.3427828 0.12750534 0.2643665 0.2653454 0.4702881 0.5297119
#>  [60,] 0.2617362 0.15998849 0.2614262 0.3168491 0.4217247 0.5782753
#>  [61,] 0.3544069 0.10355233 0.3161675 0.2258733 0.4579593 0.5420407
#>  [62,] 0.3296146 0.11856494 0.3042230 0.2475975 0.4481795 0.5518205
#>  [63,] 0.2876830 0.16070814 0.2852551 0.2663538 0.4483911 0.5516089
#>  [64,] 0.3099422 0.08795543 0.3319678 0.2701346 0.3978976 0.6021024
#>  [65,] 0.3769410 0.08590482 0.2528072 0.2843469 0.4628458 0.5371542
#>  [66,] 0.2947747 0.08710572 0.3342169 0.2839026 0.3818804 0.6181196
#>  [67,] 0.3357320 0.08103909 0.3912749 0.1919541 0.4167711 0.5832289
#>  [68,] 0.3218548 0.12948305 0.2679985 0.2806636 0.4513379 0.5486621
#>  [69,] 0.3209382 0.14078990 0.2305534 0.3077185 0.4617281 0.5382719
#>  [70,] 0.3082101 0.11488308 0.3599873 0.2169196 0.4230932 0.5769068
#>  [71,] 0.2627033 0.15537403 0.2828794 0.2990433 0.4180773 0.5819227
#>  [72,] 0.3023773 0.15174596 0.2806456 0.2652312 0.4541232 0.5458768
#>  [73,] 0.2629636 0.14007320 0.3309977 0.2659654 0.4030368 0.5969632
#>  [74,] 0.3128949 0.10333311 0.2342236 0.3495485 0.4162280 0.5837720
#>  [75,] 0.3194101 0.13418351 0.3017326 0.2446738 0.4535936 0.5464064
#>  [76,] 0.3089864 0.13596980 0.3202725 0.2347712 0.4449562 0.5550438
#>  [77,] 0.2630320 0.11131800 0.3516903 0.2739597 0.3743500 0.6256500
#>  [78,] 0.3874769 0.08067325 0.3209766 0.2108733 0.4681502 0.5318498
#>  [79,] 0.3218847 0.15975568 0.3093136 0.2090460 0.4816404 0.5183596
#>  [80,] 0.2824544 0.17995076 0.3115439 0.2260509 0.4624052 0.5375948
#>  [81,] 0.2243273 0.14701994 0.3672408 0.2614120 0.3713472 0.6286528
#>  [82,] 0.2809495 0.15564567 0.2557700 0.3076348 0.4365952 0.5634048
#>  [83,] 0.2675297 0.17845871 0.2631489 0.2908627 0.4459884 0.5540116
#>  [84,] 0.3978857 0.09850923 0.2510528 0.2525522 0.4963950 0.5036050
#>  [85,] 0.2995184 0.13455901 0.3313938 0.2345287 0.4340775 0.5659225
#>  [86,] 0.2806088 0.12860629 0.3268976 0.2638874 0.4092151 0.5907849
#>  [87,] 0.3126199 0.11523876 0.2704504 0.3016910 0.4278587 0.5721413
#>  [88,] 0.2662796 0.13587129 0.3295259 0.2683232 0.4021509 0.5978491
#>  [89,] 0.3213930 0.15055775 0.3162699 0.2117793 0.4719508 0.5280492
#>  [90,] 0.2589124 0.12582170 0.3331670 0.2820989 0.3847341 0.6152659
#>  [91,] 0.3162453 0.14064765 0.2819244 0.2611826 0.4568930 0.5431070
#>  [92,] 0.3226610 0.13702408 0.2518551 0.2884598 0.4596851 0.5403149
#>  [93,] 0.3127698 0.13650574 0.2867909 0.2639336 0.4492756 0.5507244
#>  [94,] 0.3315377 0.14780370 0.2817021 0.2389565 0.4793414 0.5206586
#>  [95,] 0.3280583 0.11877829 0.2648775 0.2882860 0.4468366 0.5531634
#>  [96,] 0.3402066 0.16129766 0.3216485 0.1768472 0.5015043 0.4984957
#>  [97,] 0.3738419 0.13788303 0.2740490 0.2142260 0.5117250 0.4882750
#>  [98,] 0.2789834 0.14633858 0.2915746 0.2831035 0.4253219 0.5746781
#>  [99,] 0.3446006 0.13740314 0.2682942 0.2497020 0.4820038 0.5179962
#> [100,] 0.2554426 0.16444024 0.3333517 0.2467654 0.4198828 0.5801172
#> [101,] 0.3104454 0.11889490 0.3050158 0.2656439 0.4293403 0.5706597
#> [102,] 0.2504555 0.16037840 0.2925694 0.2965967 0.4108339 0.5891661
#> [103,] 0.3482255 0.15161183 0.2970982 0.2030645 0.4998373 0.5001627
#> [104,] 0.3645360 0.12099331 0.3030155 0.2114552 0.4855293 0.5144707
#> [105,] 0.2273649 0.09459629 0.3793661 0.2986728 0.3219611 0.6780389
#> [106,] 0.3276591 0.14473129 0.2960932 0.2315163 0.4723904 0.5276096
#> [107,] 0.2328742 0.10739042 0.3365047 0.3232307 0.3402646 0.6597354
#> [108,] 0.2430738 0.14633662 0.3335102 0.2770794 0.3894105 0.6105895
#> [109,] 0.2707045 0.14769858 0.3132967 0.2683002 0.4184031 0.5815969
#> [110,] 0.2930973 0.12144614 0.2642314 0.3212252 0.4145435 0.5854565
#> [111,] 0.3274644 0.17497428 0.2875579 0.2100034 0.5024387 0.4975613
#> [112,] 0.2727914 0.12649752 0.3303969 0.2703142 0.3992889 0.6007111
#> [113,] 0.3087411 0.15313793 0.2749356 0.2631853 0.4618790 0.5381210
#> [114,] 0.3098625 0.13816160 0.2616033 0.2903725 0.4480241 0.5519759
#> [115,] 0.3388502 0.13822583 0.2720129 0.2509111 0.4770760 0.5229240
#> [116,] 0.2670906 0.16955699 0.3245442 0.2388083 0.4366476 0.5633524
#> [117,] 0.3279660 0.15622134 0.2596470 0.2561658 0.4841873 0.5158127
#> [118,] 0.2595862 0.11643412 0.3477423 0.2762374 0.3760203 0.6239797
#> [119,] 0.2656907 0.09326460 0.3515236 0.2895211 0.3589553 0.6410447
#> [120,] 0.3418520 0.10599800 0.2678586 0.2842915 0.4478500 0.5521500
#> [121,] 0.3128091 0.15676974 0.2630325 0.2673886 0.4695789 0.5304211
#> [122,] 0.2711402 0.13126797 0.3188710 0.2787209 0.4024081 0.5975919
#> [123,] 0.2749307 0.14409714 0.2597238 0.3212484 0.4190279 0.5809721
#> [124,] 0.3379142 0.10280066 0.3987799 0.1605053 0.4407148 0.5592852
#> [125,] 0.2756580 0.13226871 0.3620814 0.2299919 0.4079267 0.5920733
#> [126,] 0.2498116 0.16241459 0.3627505 0.2250233 0.4122262 0.5877738
#> [127,] 0.3392057 0.13493641 0.2973179 0.2285400 0.4741421 0.5258579
#> [128,] 0.3465245 0.11198596 0.2635658 0.2779237 0.4585105 0.5414895
#> [129,] 0.2981337 0.14914979 0.2532989 0.2994176 0.4472835 0.5527165
#> [130,] 0.3453953 0.16276685 0.2661241 0.2257137 0.5081622 0.4918378
#> [131,] 0.3191860 0.10763634 0.2879162 0.2852615 0.4268223 0.5731777
#> [132,] 0.2651955 0.14776760 0.3355958 0.2514411 0.4129631 0.5870369
#> [133,] 0.3650316 0.11060587 0.2546767 0.2696858 0.4756375 0.5243625
#> [134,] 0.3112430 0.15258327 0.2933551 0.2428187 0.4638263 0.5361737
#> [135,] 0.3446420 0.14051999 0.2791976 0.2356404 0.4851620 0.5148380
#> [136,] 0.3377285 0.17091776 0.2602449 0.2311089 0.5086463 0.4913537
#> [137,] 0.3210031 0.14305807 0.2742244 0.2617144 0.4640612 0.5359388
#> [138,] 0.3209927 0.09712962 0.3558641 0.2260135 0.4181224 0.5818776
#> [139,] 0.3605214 0.11389547 0.3251151 0.2004680 0.4744169 0.5255831
#> [140,] 0.2785541 0.14825722 0.3097793 0.2634093 0.4268113 0.5731887
#> [141,] 0.3431185 0.14234947 0.2538515 0.2606806 0.4854679 0.5145321
#> [142,] 0.2949218 0.15073704 0.2941966 0.2601446 0.4456588 0.5543412
#> [143,] 0.2125276 0.15476160 0.2392641 0.3934467 0.3672892 0.6327108
#> [144,] 0.2975009 0.10962084 0.3185504 0.2743279 0.4071217 0.5928783
#> [145,] 0.3641270 0.11440680 0.2945962 0.2268700 0.4785338 0.5214662
#> [146,] 0.3062840 0.17115612 0.2554243 0.2671356 0.4774401 0.5225599
#> [147,] 0.3709752 0.10972128 0.3043689 0.2149346 0.4806965 0.5193035
#> [148,] 0.3330471 0.12912232 0.3258166 0.2120139 0.4621695 0.5378305
#> [149,] 0.3137135 0.12669548 0.3014322 0.2581589 0.4404090 0.5595910
#> [150,] 0.2767462 0.11570908 0.2877416 0.3198031 0.3924553 0.6075447
#> [151,] 0.2742020 0.13906928 0.3410174 0.2457113 0.4132713 0.5867287
#> [152,] 0.2867134 0.10986286 0.3668024 0.2366214 0.3965763 0.6034237
#> [153,] 0.3412665 0.12750666 0.2814949 0.2497320 0.4687731 0.5312269
#> [154,] 0.2504695 0.20897769 0.3463759 0.1941769 0.4594471 0.5405529
#> [155,] 0.3075667 0.16307427 0.2608827 0.2684764 0.4706409 0.5293591
#> [156,] 0.2185991 0.12180194 0.2680985 0.3915004 0.3404010 0.6595990
#> [157,] 0.2647257 0.16451848 0.2737382 0.2970176 0.4292442 0.5707558
#> [158,] 0.3401097 0.15796163 0.2952473 0.2066813 0.4980714 0.5019286
#> [159,] 0.3523587 0.09776554 0.3174526 0.2324231 0.4501243 0.5498757
#> [160,] 0.2725001 0.16208388 0.2575324 0.3078835 0.4345840 0.5654160
#> [161,] 0.3550771 0.12349851 0.2554770 0.2659473 0.4785756 0.5214244
#> [162,] 0.3693159 0.13870089 0.3048663 0.1871170 0.5080168 0.4919832
#> [163,] 0.3812567 0.09702463 0.2988304 0.2228883 0.4782813 0.5217187
#> [164,] 0.3379164 0.16330512 0.2428449 0.2559336 0.5012215 0.4987785
#> [165,] 0.2812374 0.15091472 0.3536053 0.2142425 0.4321521 0.5678479
#> [166,] 0.2926717 0.12791013 0.3248104 0.2546077 0.4205818 0.5794182
#> [167,] 0.2580331 0.10937954 0.3056614 0.3269259 0.3674126 0.6325874
#> [168,] 0.3554648 0.09774315 0.2697193 0.2770727 0.4532079 0.5467921
#> [169,] 0.2823111 0.17465351 0.2886026 0.2544328 0.4569646 0.5430354
#> [170,] 0.3103561 0.12842217 0.3260516 0.2351701 0.4387783 0.5612217
#> [171,] 0.3410918 0.15507982 0.2780500 0.2257784 0.4961716 0.5038284
#> [172,] 0.3539754 0.14059251 0.2454265 0.2600056 0.4945679 0.5054321
#> [173,] 0.3078316 0.14945351 0.3248572 0.2178577 0.4572851 0.5427149
#> [174,] 0.2967007 0.09443064 0.3452949 0.2635737 0.3911314 0.6088686
#> [175,] 0.2857137 0.14184399 0.2842324 0.2882099 0.4275577 0.5724423
#> [176,] 0.3415614 0.12992815 0.3074256 0.2210848 0.4714896 0.5285104
#> [177,] 0.2717098 0.14410656 0.3004633 0.2837203 0.4158164 0.5841836
#> [178,] 0.3395089 0.13929434 0.2890615 0.2321352 0.4788033 0.5211967
#> [179,] 0.2941831 0.09965126 0.3079340 0.2982317 0.3938343 0.6061657
#> [180,] 0.3017098 0.12947938 0.2998306 0.2689803 0.4311891 0.5688109
#> [181,] 0.2760087 0.16718835 0.3481112 0.2086917 0.4431970 0.5568030
#> [182,] 0.3153932 0.20219909 0.2621241 0.2202836 0.5175923 0.4824077
#> [183,] 0.3228251 0.09652203 0.3094206 0.2712323 0.4193471 0.5806529
#> [184,] 0.2612398 0.13277897 0.3232480 0.2827333 0.3940188 0.6059812
#> [185,] 0.3471420 0.14755876 0.2875638 0.2177354 0.4947007 0.5052993
#> [186,] 0.3083566 0.09628205 0.3427606 0.2526008 0.4046386 0.5953614
#> [187,] 0.2920643 0.14587031 0.3082840 0.2537814 0.4379346 0.5620654
#> [188,] 0.3214847 0.10298657 0.3024617 0.2730671 0.4244712 0.5755288
#> [189,] 0.2767257 0.13574082 0.3216664 0.2658671 0.4124665 0.5875335
#> [190,] 0.3206208 0.17674311 0.2634190 0.2392171 0.4973639 0.5026361
#> [191,] 0.3815381 0.14837285 0.2700956 0.1999934 0.5299110 0.4700890
#> [192,] 0.3816177 0.08667169 0.3315312 0.2001795 0.4682893 0.5317107
#> [193,] 0.2801318 0.15043997 0.2410415 0.3283867 0.4305718 0.5694282
#> [194,] 0.3053682 0.13398993 0.3456714 0.2149705 0.4393582 0.5606418
#> [195,] 0.2720962 0.16848595 0.2616464 0.2977715 0.4405821 0.5594179
#> [196,] 0.3416771 0.13865059 0.2704205 0.2492517 0.4803277 0.5196723
#> [197,] 0.3203153 0.11583861 0.3259524 0.2378937 0.4361539 0.5638461
#> [198,] 0.2869115 0.15641050 0.2762890 0.2803890 0.4433220 0.5566780
#> [199,] 0.3030790 0.16844268 0.2790565 0.2494218 0.4715216 0.5284784
#> [200,] 0.3477811 0.13773102 0.2474299 0.2670579 0.4855121 0.5144879
#> [201,] 0.3092402 0.13911831 0.3171896 0.2344520 0.4483585 0.5516415
#> [202,] 0.2898262 0.10518291 0.3390201 0.2659708 0.3950091 0.6049909
#> [203,] 0.3380018 0.13765651 0.3202935 0.2040482 0.4756583 0.5243417
#> [204,] 0.3454918 0.13370146 0.2374734 0.2833334 0.4791932 0.5208068
#> [205,] 0.2688069 0.14910584 0.3442139 0.2378733 0.4179128 0.5820872
#> [206,] 0.2741089 0.15019446 0.3751549 0.2005417 0.4243034 0.5756966
#> [207,] 0.2563248 0.14645006 0.3206166 0.2766086 0.4027748 0.5972252
#> [208,] 0.3196881 0.12017277 0.3131484 0.2469907 0.4398609 0.5601391
#> [209,] 0.2771795 0.11796278 0.3441224 0.2607353 0.3951423 0.6048577
#> [210,] 0.3012066 0.13311149 0.3065136 0.2591683 0.4343181 0.5656819
#> [211,] 0.3085977 0.15504584 0.2992412 0.2371153 0.4636435 0.5363565
#> [212,] 0.3208332 0.15930471 0.3064431 0.2134189 0.4801379 0.5198621
#> [213,] 0.2976660 0.11002906 0.3775430 0.2147620 0.4076950 0.5923050
#> [214,] 0.3184527 0.14379745 0.3100811 0.2276687 0.4622501 0.5377499
#> [215,] 0.3027094 0.09840318 0.3156707 0.2832167 0.4011126 0.5988874
#> [216,] 0.2753270 0.11803748 0.3507908 0.2558447 0.3933645 0.6066355
#> [217,] 0.2819215 0.12075470 0.3470601 0.2502637 0.4026762 0.5973238
#> [218,] 0.2561865 0.15871074 0.3080255 0.2770773 0.4148973 0.5851027
#> [219,] 0.2834973 0.12479489 0.3437249 0.2479829 0.4082922 0.5917078
#> [220,] 0.2558623 0.13057497 0.2887140 0.3248487 0.3864372 0.6135628
#> [221,] 0.2885432 0.13914217 0.3092114 0.2631032 0.4276854 0.5723146
#> [222,] 0.2891692 0.14035704 0.2957704 0.2747034 0.4295262 0.5704738
#> [223,] 0.2655318 0.12576278 0.3433157 0.2653897 0.3912946 0.6087054
#> [224,] 0.2939138 0.15868495 0.2907547 0.2566466 0.4525988 0.5474012
#> [225,] 0.2628235 0.11263524 0.3172073 0.3073340 0.3754588 0.6245412
#> [226,] 0.2918982 0.13285927 0.3198876 0.2553549 0.4247574 0.5752426
#> [227,] 0.3085480 0.13570681 0.2648896 0.2908556 0.4442548 0.5557452
#> [228,] 0.3471119 0.13276008 0.2972998 0.2228283 0.4798720 0.5201280
#> [229,] 0.3373706 0.14307716 0.2786165 0.2409358 0.4804477 0.5195523
#> [230,] 0.2958017 0.16105380 0.3021706 0.2409740 0.4568555 0.5431445
#> [231,] 0.3604782 0.13340484 0.2613483 0.2447687 0.4938830 0.5061170
#> [232,] 0.2595405 0.16428041 0.3502136 0.2259655 0.4238209 0.5761791
#> [233,] 0.3190817 0.13027751 0.2813166 0.2693242 0.4493593 0.5506407
#> [234,] 0.3446115 0.13986867 0.2773132 0.2382066 0.4844802 0.5155198
#> [235,] 0.3211773 0.10060008 0.3256944 0.2525282 0.4217774 0.5782226
#> [236,] 0.2867322 0.12345943 0.3294075 0.2604009 0.4101917 0.5898083
#> [237,] 0.2985493 0.10489577 0.3517871 0.2447679 0.4034450 0.5965550
#> [238,] 0.2980018 0.13463764 0.2933642 0.2739964 0.4326394 0.5673606
#> [239,] 0.3053581 0.14777973 0.3331564 0.2137057 0.4531378 0.5468622
#> [240,] 0.2786396 0.12798106 0.3802791 0.2131002 0.4066207 0.5933793
#> [241,] 0.2934516 0.11983594 0.2938339 0.2928786 0.4132875 0.5867125
#> [242,] 0.2762962 0.21839966 0.3273978 0.1779063 0.4946959 0.5053041
#> [243,] 0.3134267 0.09887015 0.2834863 0.3042169 0.4122969 0.5877031
#> [244,] 0.3189107 0.12364160 0.3071806 0.2502671 0.4425523 0.5574477
#> [245,] 0.2761576 0.13138506 0.2698582 0.3225992 0.4075426 0.5924574
#> [246,] 0.2978386 0.10079525 0.3316800 0.2696861 0.3986338 0.6013662
#> [247,] 0.2779117 0.15758775 0.3184528 0.2460478 0.4354994 0.5645006
#> [248,] 0.2685918 0.12826439 0.3112736 0.2918702 0.3968562 0.6031438
#> [249,] 0.2984338 0.16072363 0.2990589 0.2417837 0.4591574 0.5408426
#> [250,] 0.3055660 0.13987465 0.2824018 0.2721575 0.4454407 0.5545593
#> [251,] 0.2796141 0.12832724 0.3192104 0.2728482 0.4079413 0.5920587
#> [252,] 0.3932207 0.09096473 0.2623956 0.2534189 0.4841855 0.5158145
#> [253,] 0.3048425 0.12694537 0.2727852 0.2954269 0.4317879 0.5682121
#> [254,] 0.3111816 0.16285363 0.2388981 0.2870667 0.4740352 0.5259648
#> [255,] 0.3477709 0.13143688 0.2853142 0.2354780 0.4792078 0.5207922
#> [256,] 0.2933643 0.13316484 0.2891514 0.2843195 0.4265291 0.5734709
#> [257,] 0.3493794 0.10256725 0.3280691 0.2199843 0.4519466 0.5480534
#> [258,] 0.3089949 0.17579172 0.2332872 0.2819262 0.4847866 0.5152134
#> [259,] 0.3622802 0.12917442 0.3003575 0.2081878 0.4914546 0.5085454
#> [260,] 0.2921163 0.13968982 0.2844751 0.2837188 0.4318061 0.5681939
#> [261,] 0.3413306 0.13431903 0.3115156 0.2128348 0.4756496 0.5243504
#> [262,] 0.3507340 0.11853599 0.2973081 0.2334219 0.4692700 0.5307300
#> [263,] 0.2832059 0.08869517 0.3770932 0.2510057 0.3719010 0.6280990
#> [264,] 0.2568077 0.13324774 0.3322570 0.2776876 0.3900555 0.6099445
#> [265,] 0.3183862 0.07513017 0.3170053 0.2894783 0.3935164 0.6064836
#> [266,] 0.3170780 0.10864438 0.2426726 0.3316050 0.4257223 0.5742777
#> [267,] 0.3158512 0.14815829 0.2765614 0.2594291 0.4640094 0.5359906
#> [268,] 0.3104938 0.09377052 0.3533777 0.2423580 0.4042643 0.5957357
#> [269,] 0.2904449 0.13283561 0.2873287 0.2893907 0.4232805 0.5767195
#> [270,] 0.3564962 0.14302825 0.2133673 0.2871082 0.4995244 0.5004756
#> [271,] 0.2615070 0.16953902 0.2832036 0.2857504 0.4310460 0.5689540
#> [272,] 0.2920252 0.14976553 0.3403194 0.2178899 0.4417908 0.5582092
#> [273,] 0.3103583 0.14779001 0.2393059 0.3025457 0.4581483 0.5418517
#> [274,] 0.2823815 0.14070706 0.3059361 0.2709753 0.4230885 0.5769115
#> [275,] 0.2451939 0.16559975 0.3335276 0.2556787 0.4107936 0.5892064
#> [276,] 0.3290221 0.14248995 0.3104511 0.2180368 0.4715120 0.5284880
#> [277,] 0.2886951 0.10544698 0.2949364 0.3109215 0.3941421 0.6058579
#> [278,] 0.3502849 0.11646275 0.3057919 0.2274605 0.4667477 0.5332523
#> [279,] 0.3823684 0.15441899 0.2417486 0.2214640 0.5367874 0.4632126
#> [280,] 0.3218426 0.17791921 0.2993315 0.2009067 0.4997618 0.5002382
#> [281,] 0.3157674 0.14735529 0.2531999 0.2836774 0.4631227 0.5368773
#> [282,] 0.2910993 0.12984419 0.3422853 0.2367712 0.4209435 0.5790565
#> [283,] 0.2923999 0.15601725 0.3051367 0.2464461 0.4484171 0.5515829
#> [284,] 0.2597153 0.16055214 0.3207648 0.2589678 0.4202675 0.5797325
#> [285,] 0.2699186 0.16599023 0.3229477 0.2411435 0.4359089 0.5640911
#> [286,] 0.3307874 0.16055089 0.3067134 0.2019483 0.4913383 0.5086617
#> [287,] 0.2685777 0.11430881 0.3375213 0.2795922 0.3828865 0.6171135
#> [288,] 0.3042883 0.14507024 0.2909185 0.2597229 0.4493586 0.5506414
#> [289,] 0.3148626 0.15289175 0.2746318 0.2576138 0.4677544 0.5322456
#> [290,] 0.2878610 0.11385450 0.3640785 0.2342061 0.4017155 0.5982845
#> [291,] 0.3515087 0.14135242 0.2568010 0.2503379 0.4928611 0.5071389
#> [292,] 0.2929607 0.09615257 0.3119479 0.2989389 0.3891133 0.6108867
#> [293,] 0.3629018 0.14356376 0.2680580 0.2254765 0.5064655 0.4935345
#> [294,] 0.3139949 0.16541605 0.2825992 0.2379898 0.4794109 0.5205891
#> [295,] 0.3233641 0.13927170 0.2673422 0.2700220 0.4626358 0.5373642
#> [296,] 0.3450599 0.15824375 0.2281566 0.2685398 0.5033036 0.4966964
#> [297,] 0.3445628 0.11233978 0.2661463 0.2769511 0.4569026 0.5430974
#> [298,] 0.3069788 0.10963768 0.2506221 0.3327614 0.4166164 0.5833836
#> [299,] 0.3553606 0.06452266 0.3308640 0.2492527 0.4198832 0.5801168
#> [300,] 0.3583748 0.09698865 0.2769189 0.2677176 0.4553635 0.5446365
#> [301,] 0.3297669 0.10747229 0.2716881 0.2910727 0.4372392 0.5627608
#> [302,] 0.3166270 0.16791869 0.2824044 0.2330500 0.4845457 0.5154543
#> [303,] 0.3318975 0.12421644 0.2786045 0.2652815 0.4561140 0.5438860
#> [304,] 0.3149876 0.15420105 0.3355263 0.1952850 0.4691887 0.5308113
#> [305,] 0.2925721 0.13749886 0.2888271 0.2811019 0.4300710 0.5699290
#> [306,] 0.3760988 0.09716047 0.3134500 0.2132907 0.4732593 0.5267407
#> [307,] 0.3762816 0.09855281 0.2908447 0.2343209 0.4748344 0.5251656
#> [308,] 0.3099901 0.15589167 0.2940129 0.2401054 0.4658817 0.5341183
#> [309,] 0.2294521 0.12530515 0.3361802 0.3090625 0.3547573 0.6452427
#> [310,] 0.2501657 0.13511238 0.3062647 0.3084572 0.3852781 0.6147219
#> [311,] 0.2820788 0.18618130 0.3096327 0.2221072 0.4682601 0.5317399
#> [312,] 0.3136333 0.09718555 0.3609928 0.2281884 0.4108188 0.5891812
#> [313,] 0.2919572 0.12180588 0.3217275 0.2645094 0.4137631 0.5862369
#> [314,] 0.3117235 0.11325628 0.2987931 0.2762270 0.4249798 0.5750202
#> [315,] 0.2863698 0.13592638 0.2909544 0.2867494 0.4222962 0.5777038
#> [316,] 0.2934792 0.15335639 0.2952185 0.2579459 0.4468356 0.5531644
#> [317,] 0.3145305 0.12823278 0.2646895 0.2925472 0.4427633 0.5572367
#> [318,] 0.3238640 0.16483256 0.2692253 0.2420781 0.4886965 0.5113035
#> [319,] 0.2776266 0.13077991 0.3499458 0.2416477 0.4084065 0.5915935
#> [320,] 0.2369188 0.13071312 0.3374356 0.2949325 0.3676320 0.6323680
#> [321,] 0.2991732 0.14277183 0.3090120 0.2490430 0.4419450 0.5580550
#> [322,] 0.3349376 0.12228800 0.3216086 0.2211658 0.4572256 0.5427744
#> [323,] 0.3033488 0.13293214 0.3340417 0.2296774 0.4362809 0.5637191
#> [324,] 0.2143041 0.17787996 0.3848778 0.2229382 0.3921840 0.6078160
#> [325,] 0.3655361 0.12867081 0.2916869 0.2141063 0.4942069 0.5057931
#> [326,] 0.2902254 0.16347176 0.2834991 0.2628037 0.4536972 0.5463028
#> [327,] 0.3552757 0.14009417 0.2917034 0.2129268 0.4953698 0.5046302
#> [328,] 0.3342732 0.13908307 0.2962772 0.2303665 0.4733563 0.5266437
#> [329,] 0.2528824 0.08875470 0.3232453 0.3351176 0.3416371 0.6583629
#> [330,] 0.3570863 0.09519465 0.3034227 0.2442964 0.4522809 0.5477191
#> [331,] 0.3236536 0.12519035 0.2604190 0.2907370 0.4488439 0.5511561
#> [332,] 0.2877586 0.10954959 0.3308664 0.2718254 0.3973082 0.6026918
#> [333,] 0.3977410 0.14477076 0.2473023 0.2101860 0.5425117 0.4574883
#> [334,] 0.3249661 0.13998868 0.2396687 0.2953765 0.4649548 0.5350452
#> [335,] 0.2914237 0.12037352 0.3098195 0.2783833 0.4117972 0.5882028
#> [336,] 0.2845479 0.11630143 0.2955439 0.3036068 0.4008493 0.5991507
#> [337,] 0.2946465 0.15650602 0.2482986 0.3005489 0.4511525 0.5488475
#> [338,] 0.3365591 0.10473709 0.3127957 0.2459081 0.4412962 0.5587038
#> [339,] 0.2507139 0.12392482 0.3124053 0.3129560 0.3746387 0.6253613
#> [340,] 0.2687448 0.11449610 0.3712560 0.2455031 0.3832409 0.6167591
#> [341,] 0.3266906 0.15508817 0.2860196 0.2322016 0.4817788 0.5182212
#> [342,] 0.2706728 0.12153308 0.3339095 0.2738846 0.3922059 0.6077941
#> [343,] 0.3654432 0.13561984 0.2496504 0.2492866 0.5010631 0.4989369
#> [344,] 0.3512806 0.13996686 0.3039643 0.2047882 0.4912475 0.5087525
#> [345,] 0.2850351 0.13823382 0.3302329 0.2464983 0.4232689 0.5767311
#> [346,] 0.2923499 0.15367139 0.2637297 0.2902490 0.4460213 0.5539787
#> [347,] 0.2588439 0.13835851 0.3456977 0.2570998 0.3972024 0.6027976
#> [348,] 0.3248275 0.11620272 0.3185120 0.2404578 0.4410302 0.5589698
#> [349,] 0.2832902 0.12868511 0.3798913 0.2081334 0.4119753 0.5880247
#> [350,] 0.3062019 0.17460373 0.2798330 0.2393614 0.4808056 0.5191944
#> [351,] 0.3199068 0.14224930 0.3015631 0.2362808 0.4621561 0.5378439
#> [352,] 0.3494495 0.08592414 0.3692867 0.1953396 0.4353736 0.5646264
#> [353,] 0.3543982 0.11250182 0.2932808 0.2398191 0.4669000 0.5331000
#> [354,] 0.2884480 0.14717679 0.2713338 0.2930414 0.4356248 0.5643752
#> [355,] 0.3248418 0.11122915 0.2456515 0.3182775 0.4360709 0.5639291
#> [356,] 0.3151874 0.17563352 0.2974292 0.2117499 0.4908209 0.5091791
#> [357,] 0.3316250 0.13021254 0.2700033 0.2681592 0.4618375 0.5381625
#> [358,] 0.3830827 0.11712004 0.2885726 0.2112247 0.5002028 0.4997972
#> [359,] 0.3207433 0.17529871 0.2256975 0.2782604 0.4960420 0.5039580
#> [360,] 0.3001439 0.12604066 0.3378303 0.2359852 0.4261845 0.5738155
#> [361,] 0.2933261 0.20611643 0.2414323 0.2591251 0.4994426 0.5005574
#> [362,] 0.2795610 0.16953475 0.3239046 0.2269996 0.4490958 0.5509042
#> [363,] 0.3177212 0.13038592 0.2608542 0.2910386 0.4481072 0.5518928
#> [364,] 0.2397409 0.13656038 0.3607502 0.2629485 0.3763013 0.6236987
#> [365,] 0.4224281 0.10231119 0.2489992 0.2262615 0.5247393 0.4752607
#> [366,] 0.3514554 0.14080011 0.2695714 0.2381731 0.4922555 0.5077445
#> [367,] 0.3308894 0.08291430 0.3541904 0.2320059 0.4138037 0.5861963
#> [368,] 0.4333973 0.11657665 0.2417646 0.2082614 0.5499740 0.4500260
#> [369,] 0.3117458 0.11979610 0.3154856 0.2529725 0.4315419 0.5684581
#> [370,] 0.3091371 0.16261276 0.3435841 0.1846660 0.4717499 0.5282501
#> [371,] 0.3640105 0.13616039 0.2593359 0.2404932 0.5001709 0.4998291
#> [372,] 0.3145597 0.15072996 0.2623090 0.2724013 0.4652896 0.5347104
#> [373,] 0.2657240 0.12328920 0.2777227 0.3332641 0.3890132 0.6109868
#> [374,] 0.2782583 0.09434032 0.3314967 0.2959046 0.3725986 0.6274014
#> [375,] 0.2943657 0.09509749 0.3378741 0.2726627 0.3894632 0.6105368
#> [376,] 0.3448319 0.14094628 0.2996997 0.2145221 0.4857782 0.5142218
#> [377,] 0.2886096 0.15184398 0.3340346 0.2255119 0.4404535 0.5595465
#> [378,] 0.3410890 0.22387890 0.2489384 0.1860937 0.5649679 0.4350321
#> [379,] 0.3439768 0.14535038 0.2877271 0.2229458 0.4893272 0.5106728
#> [380,] 0.2941518 0.14232358 0.3126016 0.2509231 0.4364754 0.5635246
#> [381,] 0.3729356 0.15066412 0.2682705 0.2081298 0.5235997 0.4764003
#> [382,] 0.3190374 0.10874142 0.3366430 0.2355781 0.4277788 0.5722212
#> [383,] 0.2800713 0.12112491 0.3162710 0.2825328 0.4011962 0.5988038
#> [384,] 0.3199482 0.13536213 0.3087546 0.2359351 0.4553103 0.5446897
#> [385,] 0.3225218 0.09784297 0.3293470 0.2502883 0.4203648 0.5796352
#> [386,] 0.2988483 0.14587602 0.2929493 0.2623265 0.4447243 0.5552757
#> [387,] 0.3387141 0.13638394 0.3225469 0.2023551 0.4750981 0.5249019
#> [388,] 0.2826911 0.14030167 0.3259345 0.2510727 0.4229928 0.5770072
#> [389,] 0.2965383 0.12768443 0.3196739 0.2561034 0.4242227 0.5757773
#> [390,] 0.2728152 0.12552090 0.3331388 0.2685252 0.3983361 0.6016639
#> [391,] 0.3536715 0.11429036 0.3090766 0.2229615 0.4679619 0.5320381
#> [392,] 0.2930550 0.18065253 0.2158201 0.3104723 0.4737075 0.5262925
#> [393,] 0.3130855 0.14456390 0.2969304 0.2454202 0.4576494 0.5423506
#> [394,] 0.2559002 0.16674764 0.3206156 0.2567365 0.4226479 0.5773521
#> [395,] 0.3613529 0.09856739 0.2636425 0.2764372 0.4599203 0.5400797
#> [396,] 0.2949638 0.13502449 0.3108020 0.2592097 0.4299883 0.5700117
#> [397,] 0.2798798 0.13746290 0.2980461 0.2846112 0.4173427 0.5826573
#> [398,] 0.3062986 0.14918905 0.2817292 0.2627831 0.4554877 0.5445123
#> [399,] 0.2947187 0.14662477 0.2753351 0.2833214 0.4413434 0.5586566
#> [400,] 0.3543489 0.12880146 0.2792906 0.2375591 0.4831503 0.5168497
#> [401,] 0.3801246 0.15264933 0.2394088 0.2278172 0.5327739 0.4672261
#> [402,] 0.3319251 0.15232508 0.2794458 0.2363040 0.4842502 0.5157498
#> [403,] 0.3192596 0.12772471 0.3220564 0.2309593 0.4469843 0.5530157
#> [404,] 0.3677479 0.10926850 0.3179770 0.2050066 0.4770164 0.5229836
#> [405,] 0.3201718 0.11615213 0.3159961 0.2476800 0.4363239 0.5636761
#> [406,] 0.2998843 0.11129431 0.2975024 0.2913189 0.4111786 0.5888214
#> [407,] 0.3055925 0.14657724 0.3161164 0.2317139 0.4521697 0.5478303
#> [408,] 0.2418209 0.15123280 0.3524900 0.2544563 0.3930537 0.6069463
#> [409,] 0.3494965 0.15789804 0.2358856 0.2567199 0.5073945 0.4926055
#> [410,] 0.2916055 0.08375660 0.3415868 0.2830511 0.3753621 0.6246379
#> [411,] 0.2338110 0.12271881 0.3004776 0.3429926 0.3565298 0.6434702
#> [412,] 0.2439780 0.09943195 0.3628427 0.2937474 0.3434100 0.6565900
#> [413,] 0.3775781 0.12955501 0.2974450 0.1954219 0.5071331 0.4928669
#> [414,] 0.2629593 0.12135342 0.2689932 0.3466941 0.3843127 0.6156873
#> [415,] 0.3042673 0.11156651 0.3148827 0.2692835 0.4158338 0.5841662
#> [416,] 0.3181920 0.11124777 0.3368199 0.2337404 0.4294397 0.5705603
#> [417,] 0.2822469 0.13424429 0.2819072 0.3016016 0.4164912 0.5835088
#> [418,] 0.2845098 0.16815914 0.3078695 0.2394616 0.4526689 0.5473311
#> [419,] 0.3076699 0.09776658 0.3492942 0.2452694 0.4054364 0.5945636
#> [420,] 0.3060604 0.10624091 0.3241216 0.2635770 0.4123013 0.5876987
#> [421,] 0.3361163 0.10168817 0.2839020 0.2782936 0.4378044 0.5621956
#> [422,] 0.3055761 0.12586321 0.3272406 0.2413201 0.4314393 0.5685607
#> [423,] 0.3002700 0.12074793 0.3189832 0.2599989 0.4210180 0.5789820
#> [424,] 0.2930240 0.14600762 0.3040893 0.2568790 0.4390317 0.5609683
#> [425,] 0.3061617 0.10103272 0.3372340 0.2555716 0.4071945 0.5928055
#> [426,] 0.2889547 0.12383447 0.3387685 0.2484424 0.4127892 0.5872108
#> [427,] 0.4029563 0.11328487 0.2788291 0.2049297 0.5162412 0.4837588
#> [428,] 0.2948508 0.17078472 0.3103289 0.2240356 0.4656355 0.5343645
#> [429,] 0.3476829 0.12585533 0.3201196 0.2063421 0.4735383 0.5264617
#> [430,] 0.2752194 0.16617371 0.3848656 0.1737413 0.4413931 0.5586069
#> [431,] 0.3132043 0.14143055 0.2775081 0.2678571 0.4546349 0.5453651
#> [432,] 0.3441440 0.10809186 0.2756241 0.2721400 0.4522359 0.5477641
#> [433,] 0.3161969 0.14679351 0.2572237 0.2797859 0.4629904 0.5370096
#> [434,] 0.3201821 0.14407641 0.3210141 0.2147274 0.4642585 0.5357415
#> [435,] 0.3847545 0.14566283 0.2445224 0.2250602 0.5304174 0.4695826
#> [436,] 0.2805548 0.12482875 0.3192771 0.2753394 0.4053835 0.5946165
#> [437,] 0.3321009 0.16045239 0.2687509 0.2386958 0.4925533 0.5074467
#> [438,] 0.3435596 0.14063627 0.2896906 0.2261136 0.4841959 0.5158041
#> [439,] 0.3617265 0.12211162 0.2889249 0.2272369 0.4838382 0.5161618
#> [440,] 0.2708440 0.16409789 0.2252339 0.3398242 0.4349419 0.5650581
#> [441,] 0.3491303 0.09810475 0.2999404 0.2528245 0.4472351 0.5527649
#> [442,] 0.3410437 0.08911656 0.2681180 0.3017218 0.4301602 0.5698398
#> [443,] 0.3475068 0.14252409 0.3133842 0.1965849 0.4900309 0.5099691
#> [444,] 0.2492118 0.14037730 0.3034469 0.3069641 0.3895891 0.6104109
#> [445,] 0.3523288 0.13556060 0.2699414 0.2421692 0.4878894 0.5121106
#> [446,] 0.2886724 0.13046693 0.2829938 0.2978669 0.4191393 0.5808607
#> [447,] 0.3428461 0.10213198 0.3453456 0.2096763 0.4449781 0.5550219
#> [448,] 0.3387230 0.16413546 0.2729299 0.2242116 0.5028585 0.4971415
#> [449,] 0.3374773 0.12671413 0.2307653 0.3050432 0.4641915 0.5358085
#> [450,] 0.2773391 0.11860871 0.2950482 0.3090041 0.3959478 0.6040522
#> [451,] 0.3189835 0.17532985 0.2563428 0.2493439 0.4943133 0.5056867
#> [452,] 0.3072896 0.11530833 0.2407601 0.3366420 0.4225979 0.5774021
#> [453,] 0.3197873 0.14719246 0.2836630 0.2493573 0.4669797 0.5330203
#> [454,] 0.3056613 0.15704568 0.3103210 0.2269720 0.4627070 0.5372930
#> [455,] 0.2767525 0.13559676 0.3324640 0.2551868 0.4123492 0.5876508
#> [456,] 0.3032074 0.10022397 0.2797647 0.3168040 0.4034313 0.5965687
#> [457,] 0.2923867 0.09487725 0.3315632 0.2811729 0.3872639 0.6127361
#> [458,] 0.3681688 0.13226751 0.2453241 0.2542396 0.5004363 0.4995637
#> [459,] 0.3275218 0.11666743 0.3110893 0.2447215 0.4441892 0.5558108
#> [460,] 0.3117595 0.16615596 0.3158170 0.2062675 0.4779154 0.5220846
#> [461,] 0.2921920 0.11317770 0.3664839 0.2281464 0.4053697 0.5946303
#> [462,] 0.3747624 0.13379031 0.2831223 0.2083250 0.5085527 0.4914473
#> [463,] 0.3418420 0.11473109 0.3120787 0.2313482 0.4565731 0.5434269
#> [464,] 0.3225277 0.11933982 0.2793420 0.2787905 0.4418675 0.5581325
#> [465,] 0.3752871 0.14214462 0.2418549 0.2407133 0.5174317 0.4825683
#> [466,] 0.3195941 0.10982994 0.2907637 0.2798123 0.4294240 0.5705760
#> [467,] 0.2871085 0.13830099 0.3252258 0.2493647 0.4254095 0.5745905
#> [468,] 0.3120839 0.10555473 0.3203256 0.2620357 0.4176387 0.5823613
#> [469,] 0.3883491 0.11566609 0.2995754 0.1964094 0.5040152 0.4959848
#> [470,] 0.3264599 0.16553482 0.2649689 0.2430363 0.4919947 0.5080053
#> [471,] 0.3432405 0.10630021 0.2895152 0.2609441 0.4495407 0.5504593
#> [472,] 0.2557489 0.12808595 0.3700366 0.2461286 0.3838349 0.6161651
#> [473,] 0.2858331 0.15593295 0.2827047 0.2755292 0.4417661 0.5582339
#> [474,] 0.2356725 0.15887822 0.3416211 0.2638282 0.3945507 0.6054493
#> [475,] 0.2858512 0.17151581 0.3181775 0.2244555 0.4573670 0.5426330
#> [476,] 0.3225596 0.08363984 0.3553558 0.2384448 0.4061995 0.5938005
#> [477,] 0.3519089 0.09466961 0.2382686 0.3151530 0.4465785 0.5534215
#> [478,] 0.3302031 0.10325375 0.3484237 0.2181195 0.4334568 0.5665432
#> [479,] 0.2632335 0.10682078 0.3534486 0.2764971 0.3700543 0.6299457
#> [480,] 0.3133504 0.14123905 0.3027439 0.2426667 0.4545894 0.5454106
#> [481,] 0.2962828 0.15684954 0.2984291 0.2484386 0.4531323 0.5468677
#> [482,] 0.3043480 0.12135992 0.2986008 0.2756913 0.4257079 0.5742921
#> [483,] 0.3032519 0.10874910 0.3180075 0.2699915 0.4120010 0.5879990
#> [484,] 0.3929905 0.11147742 0.2521175 0.2434145 0.5044679 0.4955321
#> [485,] 0.3476842 0.13700256 0.2887145 0.2265987 0.4846867 0.5153133
#> [486,] 0.3441955 0.12715554 0.2960020 0.2326469 0.4713510 0.5286490
#> [487,] 0.3269435 0.12646293 0.2803643 0.2662293 0.4534064 0.5465936
#> [488,] 0.3489819 0.14005991 0.2326369 0.2783213 0.4890418 0.5109582
#> [489,] 0.2919020 0.16765217 0.2787131 0.2617327 0.4595542 0.5404458
#> [490,] 0.3284881 0.13737128 0.2867351 0.2474055 0.4658594 0.5341406
#> [491,] 0.2784642 0.15747090 0.2885561 0.2755088 0.4359351 0.5640649
#> [492,] 0.3556071 0.12093271 0.2742031 0.2492571 0.4765399 0.5234601
#> [493,] 0.3142715 0.11851704 0.3042809 0.2629305 0.4327885 0.5672115
#> [494,] 0.3005269 0.11885011 0.2754477 0.3051753 0.4193770 0.5806230
#> [495,] 0.3549869 0.13246680 0.2728494 0.2396969 0.4874537 0.5125463
#> [496,] 0.3267218 0.13465862 0.2679161 0.2707035 0.4613804 0.5386196
#> [497,] 0.3216711 0.16415687 0.2749195 0.2392525 0.4858279 0.5141721
#> [498,] 0.3719767 0.11763879 0.2711349 0.2392496 0.4896155 0.5103845
#> [499,] 0.3260833 0.14693078 0.2804285 0.2465574 0.4730141 0.5269859
#> [500,] 0.3504378 0.09045958 0.3309164 0.2281862 0.4408974 0.5591026
#>        omega[1,1] omega[2,1] omega[1,2] omega[2,2]
#>   [1,]  0.7434717  0.2565283  0.4593248  0.5406752
#>   [2,]  0.7780451  0.2219549  0.5226437  0.4773563
#>   [3,]  0.7400780  0.2599220  0.5610592  0.4389408
#>   [4,]  0.6871009  0.3128991  0.5966614  0.4033386
#>   [5,]  0.7368713  0.2631287  0.5042814  0.4957186
#>   [6,]  0.6762520  0.3237480  0.5154536  0.4845464
#>   [7,]  0.7649527  0.2350473  0.5711667  0.4288333
#>   [8,]  0.6000523  0.3999477  0.5183130  0.4816870
#>   [9,]  0.6979980  0.3020020  0.5299608  0.4700392
#>  [10,]  0.7217552  0.2782448  0.6459449  0.3540551
#>  [11,]  0.6791758  0.3208242  0.5346633  0.4653367
#>  [12,]  0.6532985  0.3467015  0.6101281  0.3898719
#>  [13,]  0.6583207  0.3416793  0.5112493  0.4887507
#>  [14,]  0.6490311  0.3509689  0.5445376  0.4554624
#>  [15,]  0.7233401  0.2766599  0.6141504  0.3858496
#>  [16,]  0.7089915  0.2910085  0.5464123  0.4535877
#>  [17,]  0.7038193  0.2961807  0.3761363  0.6238637
#>  [18,]  0.6699033  0.3300967  0.4928166  0.5071834
#>  [19,]  0.7956607  0.2043393  0.5800184  0.4199816
#>  [20,]  0.6564126  0.3435874  0.5000849  0.4999151
#>  [21,]  0.6320941  0.3679059  0.5931586  0.4068414
#>  [22,]  0.7033720  0.2966280  0.6057034  0.3942966
#>  [23,]  0.7522956  0.2477044  0.6142516  0.3857484
#>  [24,]  0.7217039  0.2782961  0.4979724  0.5020276
#>  [25,]  0.7477823  0.2522177  0.5256040  0.4743960
#>  [26,]  0.7582627  0.2417373  0.5834024  0.4165976
#>  [27,]  0.6656388  0.3343612  0.5530122  0.4469878
#>  [28,]  0.7133987  0.2866013  0.5946808  0.4053192
#>  [29,]  0.7246488  0.2753512  0.4489286  0.5510714
#>  [30,]  0.7519546  0.2480454  0.4952699  0.5047301
#>  [31,]  0.7866724  0.2133276  0.5531302  0.4468698
#>  [32,]  0.7047997  0.2952003  0.5486852  0.4513148
#>  [33,]  0.7647429  0.2352571  0.5320523  0.4679477
#>  [34,]  0.6859838  0.3140162  0.5819854  0.4180146
#>  [35,]  0.7077787  0.2922213  0.4580394  0.5419606
#>  [36,]  0.6376838  0.3623162  0.6222338  0.3777662
#>  [37,]  0.6773752  0.3226248  0.5072322  0.4927678
#>  [38,]  0.6753962  0.3246038  0.4643159  0.5356841
#>  [39,]  0.7426590  0.2573410  0.5264144  0.4735856
#>  [40,]  0.6365587  0.3634413  0.5532505  0.4467495
#>  [41,]  0.7418353  0.2581647  0.5291141  0.4708859
#>  [42,]  0.8028583  0.1971417  0.5050095  0.4949905
#>  [43,]  0.7175926  0.2824074  0.4881228  0.5118772
#>  [44,]  0.6820420  0.3179580  0.5129032  0.4870968
#>  [45,]  0.6741411  0.3258589  0.5484080  0.4515920
#>  [46,]  0.5788897  0.4211103  0.5398618  0.4601382
#>  [47,]  0.6759129  0.3240871  0.5001178  0.4998822
#>  [48,]  0.6406019  0.3593981  0.5978155  0.4021845
#>  [49,]  0.7668261  0.2331739  0.5984761  0.4015239
#>  [50,]  0.6390112  0.3609888  0.4796142  0.5203858
#>  [51,]  0.6666773  0.3333227  0.5118992  0.4881008
#>  [52,]  0.7219907  0.2780093  0.6352401  0.3647599
#>  [53,]  0.6731882  0.3268118  0.5404044  0.4595956
#>  [54,]  0.6025962  0.3974038  0.5225853  0.4774147
#>  [55,]  0.7168359  0.2831641  0.6002112  0.3997888
#>  [56,]  0.7263638  0.2736362  0.5511382  0.4488618
#>  [57,]  0.6598214  0.3401786  0.5049784  0.4950216
#>  [58,]  0.6849870  0.3150130  0.5113851  0.4886149
#>  [59,]  0.7288782  0.2711218  0.4990760  0.5009240
#>  [60,]  0.6206328  0.3793672  0.4520792  0.5479208
#>  [61,]  0.7738831  0.2261169  0.5832910  0.4167090
#>  [62,]  0.7354521  0.2645479  0.5513079  0.4486921
#>  [63,]  0.6415894  0.3584106  0.5171328  0.4828672
#>  [64,]  0.7789496  0.2210504  0.5513478  0.4486522
#>  [65,]  0.8143986  0.1856014  0.4706418  0.5293582
#>  [66,]  0.7719032  0.2280968  0.5406995  0.4593005
#>  [67,]  0.8055549  0.1944451  0.6708770  0.3291230
#>  [68,]  0.7131128  0.2868872  0.4884582  0.5115418
#>  [69,]  0.6950805  0.3049195  0.4283215  0.5716785
#>  [70,]  0.7284686  0.2715314  0.6239955  0.3760045
#>  [71,]  0.6283605  0.3716395  0.4861116  0.5138884
#>  [72,]  0.6658485  0.3341515  0.5141189  0.4858811
#>  [73,]  0.6524556  0.3475444  0.5544693  0.4455307
#>  [74,]  0.7517392  0.2482608  0.4012244  0.5987756
#>  [75,]  0.7041768  0.2958232  0.5522128  0.4477872
#>  [76,]  0.6944199  0.3055801  0.5770221  0.4229779
#>  [77,]  0.7026366  0.2973634  0.5621198  0.4378802
#>  [78,]  0.8276765  0.1723235  0.6035098  0.3964902
#>  [79,]  0.6683092  0.3316908  0.5967163  0.4032837
#>  [80,]  0.6108375  0.3891625  0.5795143  0.4204857
#>  [81,]  0.6040904  0.3959096  0.5841711  0.4158289
#>  [82,]  0.6435011  0.3564989  0.4539720  0.5460280
#>  [83,]  0.5998580  0.4001420  0.4749881  0.5250119
#>  [84,]  0.8015507  0.1984493  0.4985113  0.5014887
#>  [85,]  0.6900115  0.3099885  0.5855816  0.4144184
#>  [86,]  0.6857245  0.3142755  0.5533275  0.4466725
#>  [87,]  0.7306616  0.2693384  0.4726985  0.5273015
#>  [88,]  0.6621385  0.3378615  0.5511857  0.4488143
#>  [89,]  0.6809884  0.3190116  0.5989402  0.4010598
#>  [90,]  0.6729646  0.3270354  0.5415008  0.4584992
#>  [91,]  0.6921650  0.3078350  0.5190956  0.4809044
#>  [92,]  0.7019175  0.2980825  0.4661265  0.5338735
#>  [93,]  0.6961648  0.3038352  0.5207520  0.4792480
#>  [94,]  0.6916525  0.3083475  0.5410496  0.4589504
#>  [95,]  0.7341796  0.2658204  0.4788412  0.5211588
#>  [96,]  0.6783723  0.3216277  0.6452383  0.3547617
#>  [97,]  0.7305525  0.2694475  0.5612595  0.4387405
#>  [98,]  0.6559346  0.3440654  0.5073703  0.4926297
#>  [99,]  0.7149335  0.2850665  0.5179463  0.4820537
#> [100,]  0.6083663  0.3916337  0.5746283  0.4253717
#> [101,]  0.7230754  0.2769246  0.5344969  0.4655031
#> [102,]  0.6096271  0.3903729  0.4965822  0.5034178
#> [103,]  0.6966777  0.3033223  0.5940032  0.4059968
#> [104,]  0.7508012  0.2491988  0.5889850  0.4110150
#> [105,]  0.7061872  0.2938128  0.5595049  0.4404951
#> [106,]  0.6936193  0.3063807  0.5611976  0.4388024
#> [107,]  0.6843915  0.3156085  0.5100601  0.4899399
#> [108,]  0.6242098  0.3757902  0.5462101  0.4537899
#> [109,]  0.6469945  0.3530055  0.5386836  0.4613164
#> [110,]  0.7070364  0.2929636  0.4513253  0.5486747
#> [111,]  0.6517500  0.3482500  0.5779347  0.4220653
#> [112,]  0.6831930  0.3168070  0.5500096  0.4499904
#> [113,]  0.6684458  0.3315542  0.5109179  0.4890821
#> [114,]  0.6916202  0.3083798  0.4739398  0.5260602
#> [115,]  0.7102645  0.2897355  0.5201767  0.4798233
#> [116,]  0.6116846  0.3883154  0.5760944  0.4239056
#> [117,]  0.6773535  0.3226465  0.5033745  0.4966255
#> [118,]  0.6903515  0.3096485  0.5572975  0.4427025
#> [119,]  0.7401777  0.2598223  0.5483605  0.4516395
#> [120,]  0.7633180  0.2366820  0.4851192  0.5148808
#> [121,]  0.6661482  0.3338518  0.4958937  0.5041063
#> [122,]  0.6737940  0.3262060  0.5335933  0.4664067
#> [123,]  0.6561156  0.3438844  0.4470503  0.5529497
#> [124,]  0.7667411  0.2332589  0.7130171  0.2869829
#> [125,]  0.6757537  0.3242463  0.6115483  0.3884517
#> [126,]  0.6060062  0.3939938  0.6171600  0.3828400
#> [127,]  0.7154094  0.2845906  0.5653959  0.4346041
#> [128,]  0.7557614  0.2442386  0.4867422  0.5132578
#> [129,]  0.6665430  0.3334570  0.4582799  0.5417201
#> [130,]  0.6796951  0.3203049  0.5410810  0.4589190
#> [131,]  0.7478193  0.2521807  0.5023158  0.4976842
#> [132,]  0.6421773  0.3578227  0.5716775  0.4283225
#> [133,]  0.7674576  0.2325424  0.4856883  0.5143117
#> [134,]  0.6710336  0.3289664  0.5471269  0.4528731
#> [135,]  0.7103648  0.2896352  0.5423019  0.4576981
#> [136,]  0.6639752  0.3360248  0.5296487  0.4703513
#> [137,]  0.6917258  0.3082742  0.5116712  0.4883288
#> [138,]  0.7677005  0.2322995  0.6115790  0.3884210
#> [139,]  0.7599253  0.2400747  0.6185798  0.3814202
#> [140,]  0.6526399  0.3473601  0.5404491  0.4595509
#> [141,]  0.7067788  0.2932212  0.4933637  0.5066363
#> [142,]  0.6617658  0.3382342  0.5307140  0.4692860
#> [143,]  0.5786384  0.4213616  0.3781571  0.6218429
#> [144,]  0.7307418  0.2692582  0.5372947  0.4627053
#> [145,]  0.7609222  0.2390778  0.5649383  0.4350617
#> [146,]  0.6415129  0.3584871  0.4887943  0.5112057
#> [147,]  0.7717452  0.2282548  0.5861099  0.4138901
#> [148,]  0.7206169  0.2793831  0.6057980  0.3942020
#> [149,]  0.7123231  0.2876769  0.5386651  0.4613349
#> [150,]  0.7051662  0.2948338  0.4736139  0.5263861
#> [151,]  0.6634916  0.3365084  0.5812182  0.4187818
#> [152,]  0.7229717  0.2770283  0.6078687  0.3921313
#> [153,]  0.7279992  0.2720008  0.5298959  0.4701041
#> [154,]  0.5451540  0.4548460  0.6407809  0.3592191
#> [155,]  0.6535060  0.3464940  0.4928275  0.5071725
#> [156,]  0.6421810  0.3578190  0.4064569  0.5935431
#> [157,]  0.6167252  0.3832748  0.4796065  0.5203935
#> [158,]  0.6828534  0.3171466  0.5882257  0.4117743
#> [159,]  0.7828032  0.2171968  0.5773171  0.4226829
#> [160,]  0.6270367  0.3729633  0.4554743  0.5445257
#> [161,]  0.7419457  0.2580543  0.4899599  0.5100401
#> [162,]  0.7269758  0.2730242  0.6196680  0.3803320
#> [163,]  0.7971390  0.2028610  0.5727807  0.4272193
#> [164,]  0.6741857  0.3258143  0.4868792  0.5131208
#> [165,]  0.6507834  0.3492166  0.6227114  0.3772886
#> [166,]  0.6958734  0.3041266  0.5605803  0.4394197
#> [167,]  0.7022978  0.2977022  0.4831925  0.5168075
#> [168,]  0.7843304  0.2156696  0.4932759  0.5067241
#> [169,]  0.6177964  0.3822036  0.5314618  0.4685382
#> [170,]  0.7073188  0.2926812  0.5809675  0.4190325
#> [171,]  0.6874472  0.3125528  0.5518744  0.4481256
#> [172,]  0.7157266  0.2842734  0.4855776  0.5144224
#> [173,]  0.6731721  0.3268279  0.5985780  0.4014220
#> [174,]  0.7585705  0.2414295  0.5671091  0.4328909
#> [175,]  0.6682460  0.3317540  0.4965258  0.5034742
#> [176,]  0.7244305  0.2755695  0.5816831  0.4183169
#> [177,]  0.6534370  0.3465630  0.5143303  0.4856697
#> [178,]  0.7090781  0.2909219  0.5546112  0.4453888
#> [179,]  0.7469716  0.2530284  0.5080030  0.4919970
#> [180,]  0.6997156  0.3002844  0.5271183  0.4728817
#> [181,]  0.6227674  0.3772326  0.6251965  0.3748035
#> [182,]  0.6093468  0.3906532  0.5433663  0.4566337
#> [183,]  0.7698279  0.2301721  0.5328840  0.4671160
#> [184,]  0.6630136  0.3369864  0.5334290  0.4665710
#> [185,]  0.7017212  0.2982788  0.5690960  0.4309040
#> [186,]  0.7620542  0.2379458  0.5757186  0.4242814
#> [187,]  0.6669130  0.3330870  0.5484842  0.4515158
#> [188,]  0.7573768  0.2426232  0.5255371  0.4744629
#> [189,]  0.6709046  0.3290954  0.5474860  0.4525140
#> [190,]  0.6446402  0.3553598  0.5240749  0.4759251
#> [191,]  0.7200042  0.2799958  0.5745627  0.4254373
#> [192,]  0.8149185  0.1850815  0.6235181  0.3764819
#> [193,]  0.6506042  0.3493958  0.4233045  0.5766955
#> [194,]  0.6950326  0.3049674  0.6165636  0.3834364
#> [195,]  0.6175833  0.3824167  0.4677118  0.5322882
#> [196,]  0.7113417  0.2886583  0.5203674  0.4796326
#> [197,]  0.7344089  0.2655911  0.5780876  0.4219124
#> [198,]  0.6471853  0.3528147  0.4963175  0.5036825
#> [199,]  0.6427679  0.3572321  0.5280378  0.4719622
#> [200,]  0.7163181  0.2836819  0.4809247  0.5190753
#> [201,]  0.6897163  0.3102837  0.5749922  0.4250078
#> [202,]  0.7337203  0.2662797  0.5603722  0.4396278
#> [203,]  0.7105979  0.2894021  0.6108488  0.3891512
#> [204,]  0.7209863  0.2790137  0.4559721  0.5440279
#> [205,]  0.6432130  0.3567870  0.5913442  0.4086558
#> [206,]  0.6460210  0.3539790  0.6516539  0.3483461
#> [207,]  0.6363972  0.3636028  0.5368437  0.4631563
#> [208,]  0.7267937  0.2732063  0.5590548  0.4409452
#> [209,]  0.7014676  0.2985324  0.5689312  0.4310688
#> [210,]  0.6935161  0.3064839  0.5418480  0.4581520
#> [211,]  0.6655925  0.3344075  0.5579147  0.4420853
#> [212,]  0.6682105  0.3317895  0.5894701  0.4105299
#> [213,]  0.7301192  0.2698808  0.6374132  0.3625868
#> [214,]  0.6889185  0.3110815  0.5766271  0.4233729
#> [215,]  0.7546744  0.2453256  0.5270953  0.4729047
#> [216,]  0.6999285  0.3000715  0.5782563  0.4217437
#> [217,]  0.7001196  0.2998804  0.5810251  0.4189749
#> [218,]  0.6174698  0.3825302  0.5264468  0.4735532
#> [219,]  0.6943491  0.3056509  0.5809031  0.4190969
#> [220,]  0.6621056  0.3378944  0.4705534  0.5294466
#> [221,]  0.6746623  0.3253377  0.5402821  0.4597179
#> [222,]  0.6732282  0.3267718  0.5184645  0.4815355
#> [223,]  0.6785982  0.3214018  0.5640096  0.4359904
#> [224,]  0.6493915  0.3506085  0.5311545  0.4688455
#> [225,]  0.7000064  0.2999936  0.5079044  0.4920956
#> [226,]  0.6872114  0.3127886  0.5560918  0.4439082
#> [227,]  0.6945293  0.3054707  0.4766386  0.5233614
#> [228,]  0.7233427  0.2766573  0.5715896  0.4284104
#> [229,]  0.7022004  0.2977996  0.5362626  0.4637374
#> [230,]  0.6474732  0.3525268  0.5563355  0.4436645
#> [231,]  0.7298858  0.2701142  0.5163793  0.4836207
#> [232,]  0.6123824  0.3876176  0.6078207  0.3921793
#> [233,]  0.7100816  0.2899184  0.5108895  0.4891105
#> [234,]  0.7113016  0.2886984  0.5379292  0.4620708
#> [235,]  0.7614853  0.2385147  0.5632682  0.4367318
#> [236,]  0.6990201  0.3009799  0.5584992  0.4415008
#> [237,]  0.7399999  0.2600001  0.5896977  0.4103023
#> [238,]  0.6887994  0.3112006  0.5170683  0.4829317
#> [239,]  0.6738747  0.3261253  0.6092146  0.3907854
#> [240,]  0.6852569  0.3147431  0.6408702  0.3591298
#> [241,]  0.7100422  0.2899578  0.5008141  0.4991859
#> [242,]  0.5585173  0.4414827  0.6479224  0.3520776
#> [243,]  0.7601967  0.2398033  0.4823630  0.5176370
#> [244,]  0.7206170  0.2793830  0.5510483  0.4489517
#> [245,]  0.6776164  0.3223836  0.4554896  0.5445104
#> [246,]  0.7471483  0.2528517  0.5515442  0.4484558
#> [247,]  0.6381447  0.3618553  0.5641319  0.4358681
#> [248,]  0.6767988  0.3232012  0.5160852  0.4839148
#> [249,]  0.6499596  0.3500404  0.5529500  0.4470500
#> [250,]  0.6859859  0.3140141  0.5092365  0.4907635
#> [251,]  0.6854272  0.3145728  0.5391534  0.4608466
#> [252,]  0.8121283  0.1878717  0.5087016  0.4912984
#> [253,]  0.7060006  0.2939994  0.4800764  0.5199236
#> [254,]  0.6564525  0.3435475  0.4542094  0.5457906
#> [255,]  0.7257205  0.2742795  0.5478466  0.4521534
#> [256,]  0.6877943  0.3122057  0.5042128  0.4957872
#> [257,]  0.7730545  0.2269455  0.5986080  0.4013920
#> [258,]  0.6373833  0.3626167  0.4527973  0.5472027
#> [259,]  0.7371590  0.2628410  0.5906209  0.4093791
#> [260,]  0.6764987  0.3235013  0.5006656  0.4993344
#> [261,]  0.7176093  0.2823907  0.5940981  0.4059019
#> [262,]  0.7474034  0.2525966  0.5601871  0.4398129
#> [263,]  0.7615087  0.2384913  0.6003723  0.3996277
#> [264,]  0.6583877  0.3416123  0.5447331  0.4552669
#> [265,]  0.8090799  0.1909201  0.5226939  0.4773061
#> [266,]  0.7447999  0.2552001  0.4225702  0.5774298
#> [267,]  0.6806998  0.3193002  0.5159819  0.4840181
#> [268,]  0.7680465  0.2319535  0.5931787  0.4068213
#> [269,]  0.6861759  0.3138241  0.4982123  0.5017877
#> [270,]  0.7136712  0.2863288  0.4263291  0.5736709
#> [271,]  0.6066800  0.3933200  0.4977619  0.5022381
#> [272,]  0.6610035  0.3389965  0.6096627  0.3903373
#> [273,]  0.6774189  0.3225811  0.4416447  0.5583553
#> [274,]  0.6674288  0.3325712  0.5303000  0.4697000
#> [275,]  0.5968785  0.4031215  0.5660625  0.4339375
#> [276,]  0.6978021  0.3021979  0.5874328  0.4125672
#> [277,]  0.7324646  0.2675354  0.4868079  0.5131921
#> [278,]  0.7504803  0.2495197  0.5734468  0.4265532
#> [279,]  0.7123275  0.2876725  0.5218956  0.4781044
#> [280,]  0.6439920  0.3560080  0.5983780  0.4016220
#> [281,]  0.6818223  0.3181777  0.4716160  0.5283840
#> [282,]  0.6915401  0.3084599  0.5911087  0.4088913
#> [283,]  0.6520712  0.3479288  0.5532020  0.4467980
#> [284,]  0.6179763  0.3820237  0.5532978  0.4467022
#> [285,]  0.6192089  0.3807911  0.5725098  0.4274902
#> [286,]  0.6732376  0.3267624  0.6029810  0.3970190
#> [287,]  0.7014551  0.2985449  0.5469356  0.4530644
#> [288,]  0.6771615  0.3228385  0.5283265  0.4716735
#> [289,]  0.6731367  0.3268633  0.5159870  0.4840130
#> [290,]  0.7165793  0.2834207  0.6085373  0.3914627
#> [291,]  0.7132003  0.2867997  0.5063721  0.4936279
#> [292,]  0.7528931  0.2471069  0.5106476  0.4893524
#> [293,]  0.7165380  0.2834620  0.5431394  0.4568606
#> [294,]  0.6549598  0.3450402  0.5428451  0.4571549
#> [295,]  0.6989604  0.3010396  0.4975065  0.5024935
#> [296,]  0.6855899  0.3144101  0.4593483  0.5406517
#> [297,]  0.7541275  0.2458725  0.4900526  0.5099474
#> [298,]  0.7368378  0.2631622  0.4296010  0.5703990
#> [299,]  0.8463319  0.1536681  0.5703404  0.4296596
#> [300,]  0.7870083  0.2129917  0.5084472  0.4915528
#> [301,]  0.7542025  0.2457975  0.4827772  0.5172228
#> [302,]  0.6534512  0.3465488  0.5478746  0.4521254
#> [303,]  0.7276636  0.2723364  0.5122480  0.4877520
#> [304,]  0.6713453  0.3286547  0.6321009  0.3678991
#> [305,]  0.6802880  0.3197120  0.5067774  0.4932226
#> [306,]  0.7946993  0.2053007  0.5950746  0.4049254
#> [307,]  0.7924481  0.2075519  0.5538152  0.4461848
#> [308,]  0.6653836  0.3346164  0.5504640  0.4495360
#> [309,]  0.6467863  0.3532137  0.5210135  0.4789865
#> [310,]  0.6493120  0.3506880  0.4982166  0.5017834
#> [311,]  0.6023977  0.3976023  0.5823010  0.4176990
#> [312,]  0.7634345  0.2365655  0.6127026  0.3872974
#> [313,]  0.7056145  0.2943855  0.5488011  0.4511989
#> [314,]  0.7335020  0.2664980  0.5196220  0.4803780
#> [315,]  0.6781255  0.3218745  0.5036394  0.4963606
#> [316,]  0.6567946  0.3432054  0.5336903  0.4663097
#> [317,]  0.7103807  0.2896193  0.4750037  0.5249963
#> [318,]  0.6627098  0.3372902  0.5265471  0.4734529
#> [319,]  0.6797800  0.3202200  0.5915308  0.4084692
#> [320,]  0.6444457  0.3555543  0.5336063  0.4663937
#> [321,]  0.6769466  0.3230534  0.5537303  0.4462697
#> [322,]  0.7325434  0.2674566  0.5925272  0.4074728
#> [323,]  0.6953061  0.3046939  0.5925676  0.4074324
#> [324,]  0.5464375  0.4535625  0.6332143  0.3667857
#> [325,]  0.7396418  0.2603582  0.5766921  0.4233079
#> [326,]  0.6396897  0.3603103  0.5189414  0.4810586
#> [327,]  0.7171928  0.2828072  0.5780538  0.4219462
#> [328,]  0.7061768  0.2938232  0.5625763  0.4374237
#> [329,]  0.7402076  0.2597924  0.4909835  0.5090165
#> [330,]  0.7895232  0.2104768  0.5539751  0.4460249
#> [331,]  0.7210827  0.2789173  0.4724960  0.5275040
#> [332,]  0.7242705  0.2757295  0.5489811  0.4510189
#> [333,]  0.7331472  0.2668528  0.5405652  0.4594348
#> [334,]  0.6989198  0.3010802  0.4479410  0.5520590
#> [335,]  0.7076873  0.2923127  0.5267222  0.4732778
#> [336,]  0.7098625  0.2901375  0.4932714  0.5067286
#> [337,]  0.6530973  0.3469027  0.4524000  0.5476000
#> [338,]  0.7626603  0.2373397  0.5598596  0.4401404
#> [339,]  0.6692151  0.3307849  0.4995597  0.5004403
#> [340,]  0.7012425  0.2987575  0.6019466  0.3980534
#> [341,]  0.6780926  0.3219074  0.5519258  0.4480742
#> [342,]  0.6901294  0.3098706  0.5493793  0.4506207
#> [343,]  0.7293358  0.2706642  0.5003646  0.4996354
#> [344,]  0.7150787  0.2849213  0.5974699  0.4025301
#> [345,]  0.6734137  0.3265863  0.5725941  0.4274059
#> [346,]  0.6554618  0.3445382  0.4760647  0.5239353
#> [347,]  0.6516675  0.3483325  0.5734889  0.4265111
#> [348,]  0.7365198  0.2634802  0.5698196  0.4301804
#> [349,]  0.6876388  0.3123612  0.6460465  0.3539535
#> [350,]  0.6368517  0.3631483  0.5389754  0.4610246
#> [351,]  0.6922051  0.3077949  0.5606889  0.4393111
#> [352,]  0.8026428  0.1973572  0.6540373  0.3459627
#> [353,]  0.7590452  0.2409548  0.5501423  0.4498577
#> [354,]  0.6621478  0.3378522  0.4807684  0.5192316
#> [355,]  0.7449288  0.2550712  0.4356072  0.5643928
#> [356,]  0.6421637  0.3578363  0.5841347  0.4158653
#> [357,]  0.7180555  0.2819445  0.5017134  0.4982866
#> [358,]  0.7658549  0.2341451  0.5773793  0.4226207
#> [359,]  0.6466051  0.3533949  0.4478499  0.5521501
#> [360,]  0.7042580  0.2957420  0.5887438  0.4112562
#> [361,]  0.5873070  0.4126930  0.4823268  0.5176732
#> [362,]  0.6224976  0.3775024  0.5879508  0.4120492
#> [363,]  0.7090296  0.2909704  0.4726538  0.5273462
#> [364,]  0.6370983  0.3629017  0.5784046  0.4215954
#> [365,]  0.8050247  0.1949753  0.5239213  0.4760787
#> [366,]  0.7139695  0.2860305  0.5309194  0.4690806
#> [367,]  0.7996289  0.2003711  0.6042180  0.3957820
#> [368,]  0.7880324  0.2119676  0.5372236  0.4627764
#> [369,]  0.7223998  0.2776002  0.5549848  0.4450152
#> [370,]  0.6552988  0.3447012  0.6504193  0.3495807
#> [371,]  0.7277723  0.2722277  0.5188492  0.4811508
#> [372,]  0.6760513  0.3239487  0.4905629  0.5094371
#> [373,]  0.6830719  0.3169281  0.4545478  0.5454522
#> [374,]  0.7468044  0.2531956  0.5283647  0.4716353
#> [375,]  0.7558242  0.2441758  0.5534050  0.4465950
#> [376,]  0.7098547  0.2901453  0.5828219  0.4171781
#> [377,]  0.6552554  0.3447446  0.5969738  0.4030262
#> [378,]  0.6037316  0.3962684  0.5722299  0.4277701
#> [379,]  0.7029587  0.2970413  0.5634274  0.4365726
#> [380,]  0.6739253  0.3260747  0.5547257  0.4452743
#> [381,]  0.7122532  0.2877468  0.5631198  0.4368802
#> [382,]  0.7457999  0.2542001  0.5883093  0.4116907
#> [383,]  0.6980906  0.3019094  0.5281714  0.4718286
#> [384,]  0.7027036  0.2972964  0.5668450  0.4331550
#> [385,]  0.7672427  0.2327573  0.5681969  0.4318031
#> [386,]  0.6719855  0.3280145  0.5275744  0.4724256
#> [387,]  0.7129352  0.2870648  0.6144898  0.3855102
#> [388,]  0.6683119  0.3316881  0.5648708  0.4351292
#> [389,]  0.6990156  0.3009844  0.5552041  0.4447959
#> [390,]  0.6848869  0.3151131  0.5536958  0.4463042
#> [391,]  0.7557700  0.2442300  0.5809294  0.4190706
#> [392,]  0.6186412  0.3813588  0.4100764  0.5899236
#> [393,]  0.6841165  0.3158835  0.5474879  0.4525121
#> [394,]  0.6054691  0.3945309  0.5553208  0.4446792
#> [395,]  0.7856859  0.2143141  0.4881548  0.5118452
#> [396,]  0.6859810  0.3140190  0.5452554  0.4547446
#> [397,]  0.6706235  0.3293765  0.5115290  0.4884710
#> [398,]  0.6724630  0.3275370  0.5173974  0.4826026
#> [399,]  0.6677762  0.3322238  0.4928522  0.5071478
#> [400,]  0.7334133  0.2665867  0.5403710  0.4596290
#> [401,]  0.7134820  0.2865180  0.5124047  0.4875953
#> [402,]  0.6854414  0.3145586  0.5418243  0.4581757
#> [403,]  0.7142523  0.2857477  0.5823640  0.4176360
#> [404,]  0.7709335  0.2290665  0.6080057  0.3919943
#> [405,]  0.7337938  0.2662062  0.5605988  0.4394012
#> [406,]  0.7293286  0.2706714  0.5052508  0.4947492
#> [407,]  0.6758358  0.3241642  0.5770334  0.4229666
#> [408,]  0.6152363  0.3847637  0.5807598  0.4192402
#> [409,]  0.6888062  0.3111938  0.4788530  0.5211470
#> [410,]  0.7768645  0.2231355  0.5468557  0.4531443
#> [411,]  0.6557965  0.3442035  0.4669643  0.5330357
#> [412,]  0.7104570  0.2895430  0.5526168  0.4473832
#> [413,]  0.7445345  0.2554655  0.6034996  0.3965004
#> [414,]  0.6842326  0.3157674  0.4368991  0.5631009
#> [415,]  0.7317041  0.2682959  0.5390293  0.4609707
#> [416,]  0.7409467  0.2590533  0.5903318  0.4096682
#> [417,]  0.6776780  0.3223220  0.4831242  0.5168758
#> [418,]  0.6285163  0.3714837  0.5624923  0.4375077
#> [419,]  0.7588609  0.2411391  0.5874800  0.4125200
#> [420,]  0.7423222  0.2576778  0.5515099  0.4484901
#> [421,]  0.7677315  0.2322685  0.5049879  0.4950121
#> [422,]  0.7082714  0.2917286  0.5755597  0.4244403
#> [423,]  0.7132001  0.2867999  0.5509379  0.4490621
#> [424,]  0.6674326  0.3325674  0.5420793  0.4579207
#> [425,]  0.7518809  0.2481191  0.5688779  0.4311221
#> [426,]  0.7000055  0.2999945  0.5769111  0.4230889
#> [427,]  0.7805582  0.2194418  0.5763804  0.4236196
#> [428,]  0.6332223  0.3667777  0.5807439  0.4192561
#> [429,]  0.7342235  0.2657765  0.6080587  0.3919413
#> [430,]  0.6235245  0.3764755  0.6889739  0.3110261
#> [431,]  0.6889140  0.3110860  0.5088482  0.4911518
#> [432,]  0.7609835  0.2390165  0.5031804  0.4968196
#> [433,]  0.6829448  0.3170552  0.4789927  0.5210073
#> [434,]  0.6896634  0.3103366  0.5991960  0.4008040
#> [435,]  0.7253807  0.2746193  0.5207229  0.4792771
#> [436,]  0.6920725  0.3079275  0.5369462  0.4630538
#> [437,]  0.6742436  0.3257564  0.5296140  0.4703860
#> [438,]  0.7095467  0.2904533  0.5616290  0.4383710
#> [439,]  0.7476189  0.2523811  0.5597564  0.4402436
#> [440,]  0.6227131  0.3772869  0.3986030  0.6013970
#> [441,]  0.7806417  0.2193583  0.5426183  0.4573817
#> [442,]  0.7928294  0.2071706  0.4705146  0.5294854
#> [443,]  0.7091529  0.2908471  0.6145160  0.3854840
#> [444,]  0.6396785  0.3603215  0.4971190  0.5028810
#> [445,]  0.7221489  0.2778511  0.5271154  0.4728846
#> [446,]  0.6887266  0.3112734  0.4871974  0.5128026
#> [447,]  0.7704786  0.2295214  0.6222198  0.3777802
#> [448,]  0.6735951  0.3264049  0.5489985  0.4510015
#> [449,]  0.7270218  0.2729782  0.4306862  0.5693138
#> [450,]  0.7004435  0.2995565  0.4884481  0.5115519
#> [451,]  0.6453062  0.3546938  0.5069202  0.4930798
#> [452,]  0.7271441  0.2728559  0.4169713  0.5830287
#> [453,]  0.6847990  0.3152010  0.5321805  0.4678195
#> [454,]  0.6605937  0.3394063  0.5775638  0.4224362
#> [455,]  0.6711604  0.3288396  0.5657509  0.4342491
#> [456,]  0.7515712  0.2484288  0.4689564  0.5310436
#> [457,]  0.7550062  0.2449938  0.5411191  0.4588809
#> [458,]  0.7356956  0.2643044  0.4910767  0.5089233
#> [459,]  0.7373475  0.2626525  0.5597036  0.4402964
#> [460,]  0.6523319  0.3476681  0.6049155  0.3950845
#> [461,]  0.7208038  0.2791962  0.6163223  0.3836777
#> [462,]  0.7369195  0.2630805  0.5760990  0.4239010
#> [463,]  0.7487126  0.2512874  0.5742790  0.4257210
#> [464,]  0.7299195  0.2700805  0.5004941  0.4995059
#> [465,]  0.7252882  0.2747118  0.5011828  0.4988172
#> [466,]  0.7442390  0.2557610  0.5095968  0.4904032
#> [467,]  0.6748991  0.3251009  0.5660132  0.4339868
#> [468,]  0.7472582  0.2527418  0.5500462  0.4499538
#> [469,]  0.7705107  0.2294893  0.6040011  0.3959989
#> [470,]  0.6635435  0.3364565  0.5215869  0.4784131
#> [471,]  0.7635360  0.2364640  0.5259520  0.4740480
#> [472,]  0.6662993  0.3337007  0.6005477  0.3994523
#> [473,]  0.6470237  0.3529763  0.5064269  0.4935731
#> [474,]  0.5973186  0.4026814  0.5642440  0.4357560
#> [475,]  0.6249931  0.3750069  0.5863585  0.4136415
#> [476,]  0.7940917  0.2059083  0.5984430  0.4015570
#> [477,]  0.7880113  0.2119887  0.4305372  0.5694628
#> [478,]  0.7617900  0.2382100  0.6149993  0.3850007
#> [479,]  0.7113376  0.2886624  0.5610779  0.4389221
#> [480,]  0.6893041  0.3106959  0.5550752  0.4449248
#> [481,]  0.6538549  0.3461451  0.5457062  0.4542938
#> [482,]  0.7149221  0.2850779  0.5199459  0.4800541
#> [483,]  0.7360465  0.2639535  0.5408299  0.4591701
#> [484,]  0.7790198  0.2209802  0.5087814  0.4912186
#> [485,]  0.7173379  0.2826621  0.5602699  0.4397301
#> [486,]  0.7302318  0.2697682  0.5599217  0.4400783
#> [487,]  0.7210826  0.2789174  0.5129300  0.4870700
#> [488,]  0.7136034  0.2863966  0.4552954  0.5447046
#> [489,]  0.6351852  0.3648148  0.5157096  0.4842904
#> [490,]  0.7051229  0.2948771  0.5368158  0.4631842
#> [491,]  0.6387745  0.3612255  0.5115653  0.4884347
#> [492,]  0.7462275  0.2537725  0.5238280  0.4761720
#> [493,]  0.7261548  0.2738452  0.5364506  0.4635494
#> [494,]  0.7166032  0.2833968  0.4744003  0.5255997
#> [495,]  0.7282474  0.2717526  0.5323410  0.4676590
#> [496,]  0.7081397  0.2918603  0.4974125  0.5025875
#> [497,]  0.6621090  0.3378910  0.5346839  0.4653161
#> [498,]  0.7597323  0.2402677  0.5312366  0.4687634
#> [499,]  0.6893734  0.3106266  0.5321366  0.4678634
#> [500,]  0.7948285  0.2051715  0.5918706  0.4081294
#> ---
#>  Model:
#> Type: BFcontingencyTable, independent multinomial
#> Alternative, non-independence, a = 1

# computing HDI for correlation
sjstats::hdi(p_samples1)
#> [1] -0.25110517  0.01722337

# computing HDI for contingency tabs analyses
sjstats::hdi(p_samples2)
#> [1] 0.0932646 0.6332223

^{Created on 2019-02-10 by the reprex package (v0.2.1)}

Session info

``` r devtools::session_info() #> - Session info ---------------------------------------------------------- #> setting value #> version R Under development (unstable) (2018-11-30 r75724) #> os Windows 10 x64 #> system x86_64, mingw32 #> ui RTerm #> language (EN) #> collate English_United States.1252 #> ctype English_United States.1252 #> tz America/New_York #> date 2019-02-10 #> #> - Packages -------------------------------------------------------------- #> package * version date lib #> assertthat 0.2.0 2017-04-11 [1] #> backports 1.1.3 2018-12-14 [1] #> BayesFactor * 0.9.12-4.2 2018-05-19 [1] #> bayesplot 1.6.0 2018-08-02 [1] #> broom 0.5.1.9000 2019-01-20 [1] #> callr 3.1.1 2018-12-21 [1] #> cli 1.0.1.9000 2019-01-20 [1] #> coda * 0.19-2 2018-10-08 [1] #> codetools 0.2-16 2018-12-24 [1] #> coin 1.2-2 2017-11-28 [1] #> colorspace 1.4-0 2019-01-13 [1] #> crayon 1.3.4 2017-09-16 [1] #> data.table 1.12.0 2019-01-13 [1] #> desc 1.2.0 2019-01-21 [1] #> devtools 2.0.1.9000 2019-01-29 [1] #> digest 0.6.18 2018-10-10 [1] #> dplyr 0.8.0 2019-02-06 [1] #> emmeans 1.3.2 2019-01-22 [1] #> estimability 1.3 2018-02-11 [1] #> evaluate 0.12 2018-10-09 [1] #> forcats 0.3.0 2018-02-19 [1] #> fs 1.2.6 2018-08-23 [1] #> generics 0.0.2 2019-01-20 [1] #> ggplot2 3.1.0.9000 2019-02-06 [1] #> ggridges 0.5.1 2018-09-27 [1] #> glmmTMB 0.2.3 2019-01-11 [1] #> glue 1.3.0 2018-07-17 [1] #> gtable 0.2.0 2016-02-26 [1] #> gtools 3.8.1 2018-06-26 [1] #> haven 2.0.0 2018-11-22 [1] #> highr 0.7 2018-06-09 [1] #> hms 0.4.2 2018-03-10 [1] #> htmltools 0.3.6 2017-04-28 [1] #> knitr 1.21 2018-12-10 [1] #> lattice 0.20-38 2018-11-04 [2] #> lazyeval 0.2.1 2017-10-29 [1] #> lme4 1.1-20 2019-02-04 [1] #> magrittr 1.5 2014-11-22 [1] #> MASS 7.3-51.1 2018-11-01 [2] #> Matrix * 1.2-15 2018-11-01 [1] #> MatrixModels 0.4-1 2015-08-22 [1] #> memoise 1.1.0 2017-04-21 [1] #> minqa 1.2.4 2014-10-09 [1] #> modelr 0.1.3 2019-02-05 [1] #> modeltools 0.2-22 2018-07-16 [1] #> multcomp 1.4-8 2017-11-08 [1] #> munsell 0.5.0 2018-06-12 [1] #> mvtnorm 1.0-8 2018-05-31 [1] #> nlme 3.1-137 2018-04-07 [2] #> nloptr 1.2.1 2018-10-03 [1] #> pbapply 1.4-0 2019-02-05 [1] #> pillar 1.3.1 2018-12-15 [1] #> pkgbuild 1.0.2 2018-10-16 [1] #> pkgconfig 2.0.2 2018-08-16 [1] #> pkgload 1.0.2 2018-10-29 [1] #> plyr 1.8.4 2016-06-08 [1] #> prediction 0.3.6.2 2019-01-31 [1] #> prettyunits 1.0.2 2015-07-13 [1] #> processx 3.2.1 2018-12-05 [1] #> ps 1.3.0 2018-12-21 [1] #> purrr 0.3.0 2019-01-27 [1] #> pwr 1.2-2 2018-03-03 [1] #> R6 2.3.0 2018-10-04 [1] #> Rcpp 1.0.0 2018-11-07 [1] #> remotes 2.0.2 2018-10-30 [1] #> rlang 0.3.1 2019-01-08 [1] #> rmarkdown 1.11 2018-12-08 [1] #> rprojroot 1.3-2 2018-01-03 [1] #> sandwich 2.5-0 2018-08-17 [1] #> scales 1.0.0 2018-08-09 [1] #> sessioninfo 1.1.1 2018-11-05 [1] #> sjlabelled 1.0.16 2019-01-10 [1] #> sjmisc 2.7.7 2019-01-02 [1] #> sjstats 0.17.3.9000 2019-02-06 [1] #> snakecase 0.9.2 2018-08-14 [1] #> stringdist 0.9.5.1 2018-06-08 [1] #> stringi 1.2.4 2018-07-20 [1] #> stringr 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[strengejacke]

closing in favor of https://github.com/easystats/bayestestR/issues/49