W tym raporcie zostaną wykorzystane procedury klasycznej i bootstrapowej ANOVA jedno- i dwuczynnikowej z wizualizacją dla wybranych danych.
Wybrane dane dotyczą płac w regionie środkowoatlantyckim. Płace i inne dane dla grupy 3000 pracowników płci męskiej w regionie środkowoatlantyckim.
Ramka danych zawierająca 3000 obserwacji następujących 11 zmiennych. Zmienne to:
year - Rok, w którym zarejestrowano informacje o wynagrodzeniach
age - Wiek pracownika
maritl - Współczynnik z poziomami 1. Nigdy nie żonaty 2. Żonaty 3. Wdowiec 4. Rozwiedziony i 5. W separacji wskazujący stan cywilny
race - Współczynnik z poziomami 1. Biała 2. Czarna 3. Azjatka i 4. Inna rasa wskazująca
education - Współczynnik z poziomami 1. < HS Grad 2. HS Grad 3. Niektóre College 4. College Grad i 5. Advanced Degree wskazujący poziom wykształcenia
region - Region kraju (tylko środkowoatlantycki)
job class - Współczynnik z poziomami 1. Przemysłowy i 2. Informacja wskazująca rodzaj pracy
health - Współczynnik o poziomach 1. <=Dobry i 2. >=Bardzo dobry wskazujący poziom zdrowia pracownika
health_ins - Współczynnik o poziomach 1. Tak i 2. Nie wskazujący, czy pracownik posiada ubezpieczenie zdrowotne
logwage - Dziennik płac pracowników
wage - Surowa płaca pracowników
Źródło danych: Dane zostały ręcznie zebrane przez Steve’a Millera z Inquidia Consulting (wcześniej Open BI). Od dodatku do aktualnych danych z badania populacji z marca 2011 r.
Dane odnośnie płacy (wage), rasy (race) i wykształcenia (education) zostaną poddane weryfikacji statystycznej i wizualizacjom.
Przeprowadzona zostanie wstępna analiza opisowa i przekrojowa danych.
Analizowanie zależności między płacą a rasą:
data=Wage
ggbetweenstats(
data=Wage,
y=wage,
x=race
)
Wnioski z analizy: Test jednoczynikowej ANOVA pokazuje, że najwyższe
średnie wynagrodzenie jest dla osób rasy azjatyckiej i wynosi średnio
120,29 dolara tygodniowo. Najniższe jest dla osób innej rasy niż
azjatyckiej, białej i czarnej i wynosi odpowiednio 89,97 dolarów
tygodniowo. Dla testu ANOVA hipotezy są następujące: H0 wartości są
nieistotnie różne od zera, HA wartości istotnie różne od zera. Ze
względu na niską wartość p-value (<0,05) odrzucamy hipotezę zerową na
korzyść alternetywnej, zatem występują istotne różnice między średnimi
populacyjnymi.
Analizowanie zależności między płacą a wykształceniem:
data=Wage
ggbetweenstats(
data=Wage,
y=wage,
x=education
)
Wnioski z analizy: Test jednoczynikowej ANOVA pokazuje, że najwyższe
średnie wynagrodzenie jest dla trzeciego stopani skolaryzacji i wynosi
średnio 150,92 dolara tygodniowo. Najniższe jest dla pierwszego stopnia
skolaryzacji i niższego i wynosi odpowiednio 84,10 dolarów
tygodniowo.
Dla testu ANOVA hipotezy są następujące: H0 wartości są nieistotnie różne od zera, HA wartości istotnie różne od zera. Ze względu na niską wartość p-value (<0,05) odrzucamy hipotezę zerową na korzyść alternetywnej, zatem występują istotne różnice między średnimi populacyjnymi.
Procedura ANOVA wykazuje istnienie różnic pomiędzy średnimi danych próbek. W tym przypadku zastosowane jest podejści bootstrapowe.
Wczytujemy bibliotekę lmboot i przeprowadzamy procedurę dwuczynnikową ANOVA.
library(lmboot)
ANOVA.boot(wage~race+education,data=Wage)
## $terms
## [1] "race " "education " "Residuals "
##
## $df
## [1] 3 4 2992
##
## $origFStats
## [1] 15.84351 221.77230
##
## $origSSE
## [1] 3979117
##
## $origSSTr
## [1] 63211.74 1179756.70
##
## $bootFStats
## [,1] [,2]
## [1,] 0.95891418 1.05879417
## [2,] 0.91617525 0.61481022
## [3,] 1.60004119 0.20621659
## [4,] 0.02046871 0.10899877
## [5,] 0.93050968 0.72376478
## [6,] 0.09101428 1.19945141
## [7,] 0.15432933 0.65113228
## [8,] 0.84950041 1.14368088
## [9,] 0.98520281 0.30300376
## [10,] 1.80362396 2.14093879
## [11,] 0.79483641 1.09919608
## [12,] 2.80429626 0.90674404
## [13,] 1.04255664 1.12454222
## [14,] 0.33047686 0.53594686
## [15,] 2.36752275 3.00982846
## [16,] 0.65379610 1.23678835
## [17,] 2.11593215 0.17541934
## [18,] 0.06221628 0.54977549
## [19,] 0.25865176 0.53207008
## [20,] 0.64489500 0.70651224
## [21,] 0.59168100 0.53736738
## [22,] 0.74348960 2.59041605
## [23,] 0.32446826 0.78128987
## [24,] 0.55538980 0.33687171
## [25,] 1.47815163 0.84778613
## [26,] 1.89003541 0.69666349
## [27,] 1.71526889 2.52971454
## [28,] 2.62649056 1.22804772
## [29,] 0.64161122 0.85591056
## [30,] 1.25651748 0.38195570
## [31,] 0.52726431 2.07330348
## [32,] 0.16725325 0.72761261
## [33,] 0.92839980 1.52691605
## [34,] 0.98339568 1.86127308
## [35,] 0.13281459 0.37563900
## [36,] 2.79116938 1.30895309
## [37,] 1.07913223 1.28936506
## [38,] 2.12946356 0.10377125
## [39,] 0.57865798 0.59689992
## [40,] 0.14597488 1.89296004
## [41,] 0.65206335 0.89282138
## [42,] 1.06771293 0.62733884
## [43,] 1.21003417 1.13242829
## [44,] 0.48846648 1.28788632
## [45,] 0.81721489 1.65551373
## [46,] 0.23499091 0.06156748
## [47,] 4.38035554 0.27507359
## [48,] 0.92851528 1.53238892
## [49,] 0.42403196 1.12772541
## [50,] 1.63135824 1.08058037
## [51,] 0.85897784 0.65813001
## [52,] 0.58806007 0.31937715
## [53,] 0.43443133 0.83318940
## [54,] 0.91747081 0.26081434
## [55,] 0.83078221 0.99370894
## [56,] 1.53105671 0.48915967
## [57,] 1.51063003 0.53458719
## [58,] 0.36219362 0.39668111
## [59,] 0.77129505 0.87592380
## [60,] 1.59749609 0.97602791
## [61,] 0.77622286 1.19848881
## [62,] 0.12433317 0.65607769
## [63,] 0.30727808 0.31778784
## [64,] 0.35740863 0.99959016
## [65,] 0.19052829 0.30483064
## [66,] 1.19340464 0.18214516
## [67,] 0.07211152 0.41803423
## [68,] 1.89801719 1.90434473
## [69,] 0.32130168 2.18502148
## [70,] 1.18191311 0.77663694
## [71,] 1.49681097 1.17180665
## [72,] 0.69973004 0.51916626
## [73,] 1.09886902 0.54941810
## [74,] 4.29253664 0.61860228
## [75,] 1.36455900 0.71910137
## [76,] 0.06865690 0.79303253
## [77,] 2.13306153 1.29421602
## [78,] 2.11675393 0.85347882
## [79,] 0.66229703 1.26594651
## [80,] 1.34979330 2.52843544
## [81,] 1.15697835 1.12294711
## [82,] 0.41876399 1.09538963
## [83,] 2.27059244 1.35575562
## [84,] 0.51002805 1.58754903
## [85,] 0.70766854 1.94392799
## [86,] 1.97222231 0.94529517
## [87,] 0.61398462 1.54350864
## [88,] 0.43314084 0.77176374
## [89,] 2.15442257 0.70102244
## [90,] 1.69706110 0.95203396
## [91,] 1.78121689 1.40281057
## [92,] 1.41699910 1.74769316
## [93,] 1.01710002 1.19573104
## [94,] 0.35654669 1.23829267
## [95,] 1.61517944 0.59335908
## [96,] 1.18057473 1.68081483
## [97,] 0.75074846 1.47373230
## [98,] 1.34561302 1.51744658
## [99,] 1.53832865 0.31319267
## [100,] 0.86771291 1.77210862
## [101,] 0.71938291 0.13109682
## [102,] 1.38865053 1.06812841
## [103,] 2.28715237 0.38973100
## [104,] 0.87931434 0.38256615
## [105,] 1.08704342 0.14552023
## [106,] 1.66072842 0.61970348
## [107,] 2.32119296 0.81645380
## [108,] 1.66828356 2.70732815
## [109,] 0.22546721 0.66909772
## [110,] 1.06794527 0.91353113
## [111,] 0.48738436 0.94791251
## [112,] 0.22504011 0.19911551
## [113,] 0.84671844 0.28548593
## [114,] 0.86879213 0.85966410
## [115,] 0.55112440 1.69181033
## [116,] 0.57847322 0.99794353
## [117,] 0.45202535 1.04443662
## [118,] 1.31217876 0.57937068
## [119,] 0.55481878 1.05757066
## [120,] 0.77886331 0.78921147
## [121,] 0.11676163 0.49710981
## [122,] 0.10842717 1.43993630
## [123,] 0.18246946 2.12331993
## [124,] 0.15536856 0.24945400
## [125,] 0.78092688 0.78234955
## [126,] 0.37586661 0.39770833
## [127,] 0.28198818 0.74056932
## [128,] 1.10557174 0.73799051
## [129,] 1.36224115 1.12371399
## [130,] 0.05748513 0.15906571
## [131,] 1.22008102 3.64752442
## [132,] 0.63726662 1.10568101
## [133,] 1.70768696 0.15963976
## [134,] 1.53834443 0.42688132
## [135,] 2.84065749 2.34034277
## [136,] 0.74423554 3.38794082
## [137,] 1.26567976 2.49005289
## [138,] 1.49766665 0.24309924
## [139,] 1.43732372 0.71304737
## [140,] 0.76133048 0.78671488
## [141,] 1.47788915 1.73117017
## [142,] 2.48412149 0.33184007
## [143,] 1.19015243 0.27493201
## [144,] 0.06533118 1.47549622
## [145,] 1.53173003 1.52319192
## [146,] 2.00880408 1.62566021
## [147,] 4.38341409 0.43790174
## [148,] 0.26906475 3.49434129
## [149,] 2.42171714 1.58943294
## [150,] 0.85183041 0.50603136
## [151,] 0.29043980 0.76186324
## [152,] 1.82949335 1.07478064
## [153,] 0.65078211 0.27957636
## [154,] 2.48657454 0.64568145
## [155,] 4.85174506 0.98722492
## [156,] 0.36669623 0.24705404
## [157,] 0.64482487 1.19726985
## [158,] 0.31075048 0.94655519
## [159,] 0.90705472 1.39483659
## [160,] 0.13470962 0.59558206
## [161,] 0.45813719 0.80843865
## [162,] 1.59049130 0.79044425
## [163,] 0.96095203 0.98712850
## [164,] 0.61004217 0.23946848
## [165,] 1.16357574 0.43517907
## [166,] 0.27581531 0.25919038
## [167,] 0.29118912 4.82414848
## [168,] 0.80267958 0.17191146
## [169,] 0.65464811 0.90230716
## [170,] 0.35012786 0.74381021
## [171,] 1.60003782 3.28516312
## [172,] 0.11239970 1.13451128
## [173,] 1.33833937 2.67843001
## [174,] 1.04220678 0.53736568
## [175,] 0.33826917 1.36624205
## [176,] 1.43784431 1.36762071
## [177,] 1.79754875 1.82733795
## [178,] 0.47247224 0.95107139
## [179,] 3.90865274 1.17406950
## [180,] 1.40108231 1.10416713
## [181,] 1.45960125 0.06328361
## [182,] 1.02094141 0.13127123
## [183,] 0.52361217 0.52536449
## [184,] 0.26381406 0.21126712
## [185,] 0.50640990 0.57924111
## [186,] 0.49492055 0.56423208
## [187,] 0.78767080 2.77158732
## [188,] 1.00599702 2.16360547
## [189,] 1.44081175 0.15993482
## [190,] 0.05219456 0.73865166
## [191,] 3.85938851 1.67543669
## [192,] 1.10740587 0.31688880
## [193,] 0.46578921 0.37140067
## [194,] 0.76988909 0.52083536
## [195,] 2.36816708 1.29102938
## [196,] 1.78716768 1.79047523
## [197,] 1.15209345 0.61612655
## [198,] 0.04190255 1.63823170
## [199,] 1.11998365 0.28343926
## [200,] 0.92019411 1.47180943
## [201,] 1.67193567 1.06740724
## [202,] 0.18513431 1.61362899
## [203,] 1.23995278 0.22150144
## [204,] 1.12167793 0.89856184
## [205,] 1.07452264 0.59984259
## [206,] 0.43675226 0.57764156
## [207,] 0.66343476 0.25465040
## [208,] 0.34737776 1.54984207
## [209,] 0.42849415 1.25067850
## [210,] 0.55092506 1.36093980
## [211,] 0.40252336 0.69184567
## [212,] 1.42955295 0.25539965
## [213,] 0.81943843 0.59553040
## [214,] 1.86923252 0.21738244
## [215,] 0.59523466 0.30104171
## [216,] 5.02435671 0.07061124
## [217,] 0.32677966 0.38707177
## [218,] 0.78915807 0.29410041
## [219,] 1.22652073 1.02221087
## [220,] 1.39905584 0.24876081
## [221,] 4.93935772 0.82956812
## [222,] 0.45458909 0.64426688
## [223,] 0.18634957 1.16818581
## [224,] 0.15969086 0.86201950
## [225,] 1.17301951 0.14110373
## [226,] 1.35134992 1.42045728
## [227,] 1.34159399 0.24296261
## [228,] 1.75948851 0.11340578
## [229,] 2.26238882 0.44553876
## [230,] 0.77648919 0.20328038
## [231,] 0.50071434 1.03163962
## [232,] 1.02954059 0.64672001
## [233,] 0.68644775 0.48807247
## [234,] 0.53907654 0.75388264
## [235,] 0.30480965 0.51112870
## [236,] 2.50668609 0.33182831
## [237,] 1.46424843 0.36044333
## [238,] 0.78037200 0.86162944
## [239,] 0.92558001 0.92237041
## [240,] 1.09140627 1.63489003
## [241,] 0.20122922 1.52527573
## [242,] 0.89086817 0.96245567
## [243,] 0.63041028 0.83694252
## [244,] 0.27917898 1.10116403
## [245,] 1.67785890 0.57823915
## [246,] 0.08079455 0.32281746
## [247,] 0.80410325 0.55421621
## [248,] 0.45187154 0.74210224
## [249,] 0.85393883 1.32532405
## [250,] 0.17801453 0.58725337
## [251,] 0.36852428 0.57800938
## [252,] 1.00564122 0.88974059
## [253,] 0.09633546 0.52123378
## [254,] 0.23119271 0.59916155
## [255,] 1.10007558 1.00306250
## [256,] 0.10047729 1.86889237
## [257,] 0.47745759 0.99270025
## [258,] 1.67108891 1.62126890
## [259,] 0.25767234 0.79457405
## [260,] 0.69237461 0.24916868
## [261,] 0.12279014 1.41068261
## [262,] 0.25044334 1.05340688
## [263,] 0.69404365 0.16714401
## [264,] 0.19525828 0.69797203
## [265,] 0.20281824 0.25189498
## [266,] 1.27458438 1.41935950
## [267,] 1.14229857 0.26961036
## [268,] 0.94729995 1.36376458
## [269,] 1.38615004 3.84812490
## [270,] 2.22908112 1.79722882
## [271,] 1.76740155 1.40551278
## [272,] 0.96056044 2.34648466
## [273,] 0.80942684 0.81740958
## [274,] 0.33117257 1.00669416
## [275,] 2.00432569 0.30181117
## [276,] 2.64799104 1.28749295
## [277,] 2.33046741 0.18691909
## [278,] 0.57080469 1.05193501
## [279,] 2.22288180 1.12471912
## [280,] 0.12528678 1.21761967
## [281,] 1.47792770 1.10779213
## [282,] 0.22361540 0.49666440
## [283,] 0.40097706 0.68916512
## [284,] 0.18963216 0.84960081
## [285,] 0.46819233 1.77866342
## [286,] 0.59481236 0.36959485
## [287,] 1.19948760 1.49424113
## [288,] 0.56796275 1.35712127
## [289,] 0.61716268 0.72322341
## [290,] 1.09617864 0.90682091
## [291,] 1.04745259 1.25164560
## [292,] 1.72972623 0.87554035
## [293,] 0.12927863 1.58307115
## [294,] 0.40510983 1.25991725
## [295,] 1.15627453 1.62892439
## [296,] 0.93479735 0.26165081
## [297,] 2.23008932 1.67780424
## [298,] 0.89685237 1.73755990
## [299,] 2.45744569 0.61180455
## [300,] 3.82931877 0.69333256
## [301,] 1.56897602 1.33795697
## [302,] 2.02478282 0.02019856
## [303,] 0.31739337 1.00972753
## [304,] 2.75078386 0.33495220
## [305,] 3.03248589 0.84084404
## [306,] 0.83565987 1.30671465
## [307,] 0.05251506 1.22904904
## [308,] 0.21791867 0.59394529
## [309,] 0.70519812 0.17295179
## [310,] 1.19085817 0.72450940
## [311,] 0.60562761 0.88472285
## [312,] 1.30914706 0.46457681
## [313,] 0.23483248 0.83310325
## [314,] 0.55603263 0.21165346
## [315,] 2.20082638 1.29321822
## [316,] 0.10459592 0.81984058
## [317,] 0.10475711 1.17775673
## [318,] 0.59956645 0.26528482
## [319,] 0.45187429 0.76259253
## [320,] 0.04029654 0.75119372
## [321,] 1.59856536 2.58751350
## [322,] 0.48812281 1.30211349
## [323,] 1.45640016 1.21486796
## [324,] 0.97762964 0.29886623
## [325,] 2.24620893 0.63245089
## [326,] 0.30468796 0.28647308
## [327,] 5.05129702 1.08183286
## [328,] 0.63233849 0.19658695
## [329,] 0.43848340 0.73839577
## [330,] 0.12730379 0.15960940
## [331,] 0.64736782 0.32180780
## [332,] 1.21703048 2.30070613
## [333,] 2.13521125 2.65660100
## [334,] 0.22703126 0.74707827
## [335,] 0.25655301 1.93905241
## [336,] 0.46910365 0.60278995
## [337,] 0.15608229 2.51768563
## [338,] 0.95438769 1.81874370
## [339,] 0.87988467 0.40175772
## [340,] 2.63085747 2.12315396
## [341,] 1.94957158 0.26775578
## [342,] 1.29810975 0.54517826
## [343,] 1.63114333 0.40859640
## [344,] 1.30688152 1.06014759
## [345,] 0.98622218 3.65563975
## [346,] 2.74263928 0.29071164
## [347,] 0.22988061 1.21524600
## [348,] 0.49654441 1.45536585
## [349,] 0.51199951 0.36282580
## [350,] 0.14217503 0.93940761
## [351,] 1.11133829 0.78213187
## [352,] 0.36823410 2.07274118
## [353,] 0.25991996 0.95327481
## [354,] 0.29683574 0.82118371
## [355,] 0.61666198 0.65386955
## [356,] 0.14022315 1.35632530
## [357,] 0.31995631 1.74662784
## [358,] 0.51933311 1.54021905
## [359,] 0.45645920 1.35312567
## [360,] 1.88450662 0.76239864
## [361,] 0.63298554 2.20922971
## [362,] 0.37017982 0.86390096
## [363,] 0.51103872 2.43641701
## [364,] 0.76780467 0.82240752
## [365,] 1.22576312 0.49622141
## [366,] 0.31641678 0.78166232
## [367,] 1.93658895 1.18583777
## [368,] 1.32381482 0.87851878
## [369,] 2.55653135 1.23746924
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## [820,] 0.98220375 1.77577037
## [821,] 1.64783863 2.39128481
## [822,] 0.37939767 0.35351368
## [823,] 0.12201789 0.61802519
## [824,] 0.56774520 0.59572286
## [825,] 1.16919687 2.46855769
## [826,] 0.56480423 0.76217314
## [827,] 2.06225285 5.72262131
## [828,] 0.43882406 0.65922537
## [829,] 0.44325822 0.32000166
## [830,] 1.14165866 0.61356968
## [831,] 0.27292855 0.76629355
## [832,] 1.94929785 0.19660303
## [833,] 0.22731092 0.61788130
## [834,] 1.11939611 0.36432372
## [835,] 0.59904823 0.72269292
## [836,] 1.26316700 0.28072266
## [837,] 0.17963975 1.13094363
## [838,] 0.14538879 0.36450852
## [839,] 0.25090318 0.63620189
## [840,] 1.15403039 1.94041040
## [841,] 1.19641601 0.67057240
## [842,] 0.60704004 0.69723727
## [843,] 0.41670059 0.84056718
## [844,] 0.26604589 1.59311477
## [845,] 0.51536657 0.56655449
## [846,] 2.86090216 0.99635661
## [847,] 0.27971678 0.63510364
## [848,] 0.15839714 1.66401540
## [849,] 0.14042135 0.98581948
## [850,] 1.28537408 0.55370070
## [851,] 0.09610747 1.41492672
## [852,] 0.32993226 0.49027404
## [853,] 0.13812816 0.83937262
## [854,] 0.16199446 0.86956832
## [855,] 0.25078262 2.32213400
## [856,] 2.08155968 0.60181606
## [857,] 0.77918736 0.15593326
## [858,] 0.76919643 1.33472430
## [859,] 0.28244090 0.37481465
## [860,] 0.37146125 3.01216280
## [861,] 0.25905406 1.90772257
## [862,] 0.54267727 2.21524944
## [863,] 1.75092120 1.29858201
## [864,] 0.88359502 0.55423534
## [865,] 1.85204145 0.34140662
## [866,] 0.68519880 0.52833768
## [867,] 0.04962299 1.08196715
## [868,] 0.19611031 0.72629000
## [869,] 0.22891595 0.30572630
## [870,] 0.67430814 1.91189017
## [871,] 0.21626562 0.42300292
## [872,] 1.21216464 2.79766533
## [873,] 1.63902535 1.06385940
## [874,] 1.18161533 1.54872199
## [875,] 0.12201442 0.44460875
## [876,] 1.37674811 2.39694023
## [877,] 1.29570708 0.62037816
## [878,] 0.45251255 1.71152563
## [879,] 0.18630036 0.63006696
## [880,] 3.69284754 1.45772644
## [881,] 1.49386481 1.93359457
## [882,] 1.81551406 0.30209233
## [883,] 1.07335821 2.21062185
## [884,] 1.17875699 0.65993932
## [885,] 0.11121770 0.17355003
## [886,] 0.48121047 2.83068090
## [887,] 1.14085608 2.13224355
## [888,] 0.34178288 0.55924898
## [889,] 1.05211231 1.10712110
## [890,] 0.64217930 0.73941006
## [891,] 0.73116090 0.20183194
## [892,] 2.73799667 1.48832104
## [893,] 1.69611353 0.74671227
## [894,] 1.86779432 1.19336931
## [895,] 0.18649557 0.85500433
## [896,] 1.43115180 0.23186710
## [897,] 0.43962847 1.46545391
## [898,] 0.34084045 0.33071861
## [899,] 0.93421665 0.95025913
## [900,] 0.02857092 1.52403429
## [901,] 0.81906356 2.82186106
## [902,] 4.07250718 0.82933577
## [903,] 0.85155031 0.40348930
## [904,] 4.13716134 0.99750108
## [905,] 0.32914481 1.43700514
## [906,] 1.18613266 0.34875555
## [907,] 1.35133715 1.10491283
## [908,] 1.46973565 0.73749053
## [909,] 0.75830607 0.68688281
## [910,] 0.64336804 1.33821510
## [911,] 0.50279068 0.07114407
## [912,] 2.17448424 0.86090003
## [913,] 0.59946117 0.74545409
## [914,] 1.96932896 0.94886000
## [915,] 1.83545170 2.40999835
## [916,] 1.29426702 0.39885215
## [917,] 1.32346286 0.33027090
## [918,] 0.28664655 0.89867308
## [919,] 1.62177100 0.25485149
## [920,] 1.38778666 1.13143883
## [921,] 2.24590604 0.63921403
## [922,] 0.93210946 0.93645429
## [923,] 0.10345887 1.14087284
## [924,] 0.47876733 0.54098684
## [925,] 0.82495588 0.45458344
## [926,] 0.19796409 0.13318364
## [927,] 2.77738506 0.68207222
## [928,] 0.66152298 1.58761069
## [929,] 0.71323995 0.58289408
## [930,] 0.80718482 2.85725051
## [931,] 1.55766013 2.69977436
## [932,] 0.32427152 1.89729873
## [933,] 1.03570232 0.44969317
## [934,] 0.87818157 0.78211971
## [935,] 0.74135148 1.67445077
## [936,] 0.62230499 0.65263081
## [937,] 0.46139199 0.07153293
## [938,] 0.26638057 0.86222191
## [939,] 0.75769440 4.41877710
## [940,] 0.68293970 0.52326417
## [941,] 0.30638538 1.84149970
## [942,] 0.44962264 2.17041757
## [943,] 0.57362114 0.18915409
## [944,] 1.39343480 0.93688910
## [945,] 1.11025015 2.56542778
## [946,] 0.28159405 1.10056048
## [947,] 1.66727892 3.06720753
## [948,] 3.15305335 1.44372080
## [949,] 0.08364038 1.37065577
## [950,] 2.75810904 1.02326522
## [951,] 0.67564035 0.87968105
## [952,] 2.24096679 0.49263395
## [953,] 0.44039517 0.65239694
## [954,] 0.56412626 1.33869214
## [955,] 0.34572994 0.60563891
## [956,] 0.17355307 0.53109409
## [957,] 0.62805784 1.42390808
## [958,] 4.36771912 0.89336806
## [959,] 0.36060701 0.71371797
## [960,] 1.15499171 1.03179773
## [961,] 0.30535418 1.85286492
## [962,] 1.65464327 3.63784187
## [963,] 0.36666896 0.49369121
## [964,] 1.71772424 0.56887270
## [965,] 0.61090719 2.66841109
## [966,] 0.63096963 0.66064059
## [967,] 0.53184412 0.39865551
## [968,] 1.27972396 1.73732726
## [969,] 0.76027355 0.08650016
## [970,] 0.74884018 2.21208109
## [971,] 3.03781049 1.91598977
## [972,] 0.43175070 0.49496590
## [973,] 1.05250406 1.02944373
## [974,] 1.16099649 1.49007681
## [975,] 0.29010822 3.42308584
## [976,] 0.46426026 2.18763736
## [977,] 0.68139136 2.10027246
## [978,] 1.41308039 0.73412535
## [979,] 0.54088229 0.36506313
## [980,] 0.29835208 1.10453747
## [981,] 0.84712996 0.85373105
## [982,] 1.41103403 0.24465857
## [983,] 0.04790022 0.49299827
## [984,] 0.22126864 1.23393189
## [985,] 0.40356902 0.34037660
## [986,] 1.08249016 0.96503644
## [987,] 0.33057939 0.47470913
## [988,] 0.72782975 0.60938227
## [989,] 2.42772430 1.07726741
## [990,] 0.21359215 1.44531414
## [991,] 0.49493398 0.43519934
## [992,] 4.23538880 2.48509392
## [993,] 0.63229914 2.63766903
## [994,] 0.68075648 0.26276643
## [995,] 0.20648087 0.25820650
## [996,] 0.24490997 0.24994639
## [997,] 0.54828893 1.58501901
## [998,] 2.31007681 0.17783612
## [999,] 0.09882934 1.20847316
## [1000,] 1.13132179 0.49592516
##
## $bootSSE
## [,1]
## [1,] 4268578
## [2,] 4366310
## [3,] 4089745
## [4,] 3938336
## [5,] 3671941
## [6,] 3678170
## [7,] 3895177
## [8,] 3992219
## [9,] 4074388
## [10,] 4111443
## [11,] 3711850
## [12,] 3750169
## [13,] 4057424
## [14,] 3748397
## [15,] 3937239
## [16,] 4406066
## [17,] 4176967
## [18,] 4156312
## [19,] 3834746
## [20,] 4222276
## [21,] 3868560
## [22,] 4536939
## [23,] 4189857
## [24,] 3924084
## [25,] 4117546
## [26,] 3917001
## [27,] 3606397
## [28,] 3986758
## [29,] 3875704
## [30,] 4067243
## [31,] 3979157
## [32,] 3943220
## [33,] 4051919
## [34,] 4118647
## [35,] 4102827
## [36,] 3899000
## [37,] 4161653
## [38,] 3999076
## [39,] 4155552
## [40,] 3994863
## [41,] 3867148
## [42,] 4296130
## [43,] 4223775
## [44,] 3645431
## [45,] 4012945
## [46,] 3826009
## [47,] 4165805
## [48,] 4058594
## [49,] 3889055
## [50,] 4429264
## [51,] 4303808
## [52,] 3746345
## [53,] 3957416
## [54,] 4012233
## [55,] 4010138
## [56,] 4297284
## [57,] 4182738
## [58,] 3737562
## [59,] 3935548
## [60,] 4246082
## [61,] 3973391
## [62,] 4012028
## [63,] 4098048
## [64,] 3766440
## [65,] 3932806
## [66,] 4281461
## [67,] 4043926
## [68,] 3929836
## [69,] 4217128
## [70,] 4020091
## [71,] 3849898
## [72,] 3859092
## [73,] 4034216
## [74,] 4350079
## [75,] 3760402
## [76,] 4059218
## [77,] 3986199
## [78,] 3949520
## [79,] 3798460
## [80,] 3935363
## [81,] 3615663
## [82,] 4038077
## [83,] 3784350
## [84,] 4132300
## [85,] 4265450
## [86,] 3877001
## [87,] 3699659
## [88,] 4094682
## [89,] 3938753
## [90,] 3963362
## [91,] 4022321
## [92,] 3871948
## [93,] 3638508
## [94,] 4017335
## [95,] 3888574
## [96,] 3893398
## [97,] 3623236
## [98,] 4049334
## [99,] 3891298
## [100,] 3824656
## [101,] 3842611
## [102,] 4154800
## [103,] 4240735
## [104,] 3752821
## [105,] 3676418
## [106,] 3997034
## [107,] 3911871
## [108,] 3914753
## [109,] 3819424
## [110,] 4066059
## [111,] 4056860
## [112,] 4114449
## [113,] 3846451
## [114,] 3970716
## [115,] 3939888
## [116,] 3701444
## [117,] 4080595
## [118,] 3560843
## [119,] 3862238
## [120,] 4109746
## [121,] 4466283
## [122,] 4049088
## [123,] 4246069
## [124,] 4092461
## [125,] 4172199
## [126,] 3775237
## [127,] 3701574
## [128,] 3980474
## [129,] 4321460
## [130,] 4111483
## [131,] 3939719
## [132,] 4162515
## [133,] 3957143
## [134,] 3873941
## [135,] 3964387
## [136,] 4083497
## [137,] 4185491
## [138,] 4015902
## [139,] 4483974
## [140,] 3824302
## [141,] 4121416
## [142,] 3651544
## [143,] 3881760
## [144,] 4206726
## [145,] 4311420
## [146,] 3950287
## [147,] 3928717
## [148,] 3949656
## [149,] 4169995
## [150,] 4041593
## [151,] 3953728
## [152,] 3871698
## [153,] 3849612
## [154,] 3955179
## [155,] 3891013
## [156,] 4152635
## [157,] 3812697
## [158,] 3766713
## [159,] 4029732
## [160,] 4006109
## [161,] 4336796
## [162,] 4297120
## [163,] 4181841
## [164,] 4136025
## [165,] 4126817
## [166,] 4046211
## [167,] 3971828
## [168,] 3743569
## [169,] 4034948
## [170,] 4048746
## [171,] 3955919
## [172,] 3800065
## [173,] 4013175
## [174,] 3880911
## [175,] 4029667
## [176,] 4108675
## [177,] 3695123
## [178,] 4248972
## [179,] 4411876
## [180,] 4164451
## [181,] 3967893
## [182,] 4063336
## [183,] 4121683
## [184,] 3914692
## [185,] 3991690
## [186,] 4216906
## [187,] 3910274
## [188,] 4228181
## [189,] 3861763
## [190,] 3923064
## [191,] 3856729
## [192,] 3855790
## [193,] 4018874
## [194,] 3952547
## [195,] 4058882
## [196,] 3868318
## [197,] 4180292
## [198,] 4006714
## [199,] 3883340
## [200,] 3936198
## [201,] 3666517
## [202,] 4268164
## [203,] 3840103
## [204,] 4220945
## [205,] 4357578
## [206,] 4156289
## [207,] 3618743
## [208,] 3679042
## [209,] 3671987
## [210,] 4098330
## [211,] 3888823
## [212,] 3812217
## [213,] 4225775
## [214,] 4134855
## [215,] 4283658
## [216,] 4176704
## [217,] 4069629
## [218,] 4240823
## [219,] 3643778
## [220,] 4149352
## [221,] 3757382
## [222,] 4311924
## [223,] 3951665
## [224,] 4019000
## [225,] 4070610
## [226,] 4027278
## [227,] 3993193
## [228,] 3839373
## [229,] 3448817
## [230,] 3775578
## [231,] 3892757
## [232,] 4351919
## [233,] 4478676
## [234,] 3987752
## [235,] 4334648
## [236,] 3760254
## [237,] 4251558
## [238,] 3853441
## [239,] 3735942
## [240,] 3726780
## [241,] 3972214
## [242,] 4089697
## [243,] 3763855
## [244,] 3927675
## [245,] 4074550
## [246,] 4194658
## [247,] 3764973
## [248,] 3848977
## [249,] 4021538
## [250,] 3531013
## [251,] 4190087
## [252,] 4072480
## [253,] 4131063
## [254,] 4189751
## [255,] 4190236
## [256,] 3830684
## [257,] 4070853
## [258,] 3607892
## [259,] 3784056
## [260,] 4334806
## [261,] 4241234
## [262,] 4086046
## [263,] 4251287
## [264,] 4022946
## [265,] 3892912
## [266,] 4081874
## [267,] 3851724
## [268,] 3879076
## [269,] 3804577
## [270,] 3919180
## [271,] 3773580
## [272,] 4058473
## [273,] 3922821
## [274,] 3993414
## [275,] 4010846
## [276,] 3843235
## [277,] 3825535
## [278,] 3999017
## [279,] 4100398
## [280,] 3960622
## [281,] 4082506
## [282,] 3823948
## [283,] 3720016
## [284,] 4138498
## [285,] 3938390
## [286,] 3737246
## [287,] 3810749
## [288,] 4065193
## [289,] 4058958
## [290,] 3732355
## [291,] 3924339
## [292,] 3731011
## [293,] 4014272
## [294,] 3946444
## [295,] 4041124
## [296,] 4166719
## [297,] 3849737
## [298,] 4059627
## [299,] 3839917
## [300,] 3841599
## [301,] 4206941
## [302,] 4348586
## [303,] 4174370
## [304,] 3910717
## [305,] 3873157
## [306,] 3859093
## [307,] 3869990
## [308,] 4142974
## [309,] 4232945
## [310,] 3774921
## [311,] 3846225
## [312,] 4032614
## [313,] 3824436
## [314,] 3691650
## [315,] 3592329
## [316,] 3976116
## [317,] 3817858
## [318,] 4294630
## [319,] 3929254
## [320,] 3885692
## [321,] 4440102
## [322,] 4014991
## [323,] 3696833
## [324,] 4237041
## [325,] 4189137
## [326,] 4121518
## [327,] 3860017
## [328,] 4129108
## [329,] 3866824
## [330,] 3879105
## [331,] 3816286
## [332,] 3811172
## [333,] 4176401
## [334,] 4173833
## [335,] 4003901
## [336,] 4055933
## [337,] 3738055
## [338,] 3535050
## [339,] 3876134
## [340,] 3750780
## [341,] 3756702
## [342,] 4100450
## [343,] 4225519
## [344,] 4051821
## [345,] 3960934
## [346,] 4053709
## [347,] 3953281
## [348,] 3996273
## [349,] 3915845
## [350,] 4046139
## [351,] 3945338
## [352,] 3864725
## [353,] 3806885
## [354,] 3995654
## [355,] 4188025
## [356,] 4045131
## [357,] 4063544
## [358,] 3789200
## [359,] 4214393
## [360,] 4324308
## [361,] 3886869
## [362,] 3914147
## [363,] 3505304
## [364,] 4109704
## [365,] 3958087
## [366,] 3931743
## [367,] 4112776
## [368,] 3834185
## [369,] 4087066
## [370,] 3609538
## [371,] 4295514
## [372,] 4235665
## [373,] 4390285
## [374,] 4235102
## [375,] 3982259
## [376,] 3821069
## [377,] 3943382
## [378,] 4248230
## [379,] 3567554
## [380,] 3869116
## [381,] 3723155
## [382,] 4328056
## [383,] 4035971
## [384,] 4182628
## [385,] 4346593
## [386,] 3832400
## [387,] 3878652
## [388,] 3641911
## [389,] 4368982
## [390,] 4047631
## [391,] 3861176
## [392,] 4176483
## [393,] 4412669
## [394,] 3842112
## [395,] 3861673
## [396,] 4107652
## [397,] 3998754
## [398,] 3800336
## [399,] 3867867
## [400,] 4305580
## [401,] 4187057
## [402,] 3375012
## [403,] 4159392
## [404,] 4029725
## [405,] 3794844
## [406,] 4465512
## [407,] 3854364
## [408,] 4083631
## [409,] 3692807
## [410,] 3836290
## [411,] 4027218
## [412,] 3898667
## [413,] 3599895
## [414,] 3656044
## [415,] 3875872
## [416,] 3705881
## [417,] 3577425
## [418,] 4005651
## [419,] 4020168
## [420,] 4016675
## [421,] 3956582
## [422,] 3722024
## [423,] 3965305
## [424,] 3873484
## [425,] 3922858
## [426,] 3907804
## [427,] 4082999
## [428,] 3959075
## [429,] 3692953
## [430,] 3930418
## [431,] 3793880
## [432,] 4073933
## [433,] 4140815
## [434,] 4127674
## [435,] 4135931
## [436,] 4018843
## [437,] 3717744
## [438,] 3971079
## [439,] 3985594
## [440,] 3962750
## [441,] 3592574
## [442,] 3840828
## [443,] 3687282
## [444,] 3870813
## [445,] 4230290
## [446,] 3912720
## [447,] 3933252
## [448,] 3487161
## [449,] 3670734
## [450,] 4039419
## [451,] 4139157
## [452,] 3858917
## [453,] 4028857
## [454,] 3630886
## [455,] 4195197
## [456,] 3665176
## [457,] 4016735
## [458,] 3971770
## [459,] 4003632
## [460,] 3630115
## [461,] 4119951
## [462,] 3652897
## [463,] 4184406
## [464,] 3889483
## [465,] 4171687
## [466,] 4132880
## [467,] 4116713
## [468,] 4086757
## [469,] 3595702
## [470,] 4083548
## [471,] 3958465
## [472,] 4099285
## [473,] 4062482
## [474,] 4034146
## [475,] 4046002
## [476,] 3882411
## [477,] 3800694
## [478,] 3745766
## [479,] 4375230
## [480,] 3978273
## [481,] 4010073
## [482,] 4110792
## [483,] 3940360
## [484,] 4246602
## [485,] 3728275
## [486,] 4159421
## [487,] 4081732
## [488,] 4032760
## [489,] 3962831
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## [802,] 4219179
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## [995,] 3747820
## [996,] 3952176
## [997,] 3699388
## [998,] 3878281
## [999,] 4147387
## [1000,] 4123493
##
## $bootSSTr
## [,1] [,2]
## [1,] 5217.4300 6042.1732
## [2,] 4727.4676 3588.8392
## [3,] 7975.0077 1127.5044
## [4,] 101.4466 573.8954
## [5,] 4915.7701 3552.9705
## [6,] 456.2591 5898.1105
## [7,] 839.0218 3390.7422
## [8,] 4126.0449 6104.0439
## [9,] 4796.0102 1650.4744
## [10,] 9104.8779 11767.8450
## [11,] 4164.4892 5454.6134
## [12,] 14679.4365 4546.0470
## [13,] 5537.8969 6099.9255
## [14,] 1787.3173 2685.7506
## [15,] 12063.3348 15842.7999
## [16,] 3332.7918 7285.2557
## [17,] 10713.2944 979.5732
## [18,] 333.6661 3054.8640
## [19,] 1449.4722 2727.7458
## [20,] 3482.3001 3988.0875
## [21,] 3276.4025 2779.1953
## [22,] 3892.4030 15711.9786
## [23,] 1729.3398 4376.3275
## [24,] 2552.3647 1767.2632
## [25,] 7943.0569 4666.8433
## [26,] 8939.7575 3648.1703
## [27,] 8905.8569 12196.7320
## [28,] 13673.4609 6545.3594
## [29,] 2919.9784 4434.8342
## [30,] 6843.1779 2076.8805
## [31,] 2731.9183 11029.4130
## [32,] 892.2310 3835.7440
## [33,] 4771.2244 8271.3101
## [34,] 5190.0417 10248.5656
## [35,] 632.4670 2060.4035
## [36,] 13125.2625 6823.0051
## [37,] 5573.9451 7173.6499
## [38,] 11175.7799 554.7983
## [39,] 3105.5697 3316.1079
## [40,] 750.3118 10109.7801
## [41,] 3382.6499 4615.8723
## [42,] 5755.1833 3603.1137
## [43,] 6297.4112 6394.5479
## [44,] 2597.7004 6276.6060
## [45,] 3835.3111 8881.6659
## [46,] 1306.3688 314.9167
## [47,] 20186.5928 1531.9557
## [48,] 4470.4092 8314.6326
## [49,] 2132.2962 5863.3511
## [50,] 8330.3411 6398.6311
## [51,] 4346.5902 3786.7184
## [52,] 3176.2248 1599.5947
## [53,] 2059.0342 4408.1244
## [54,] 4879.7730 1398.9947
## [55,] 4399.9059 5327.4194
## [56,] 7641.7638 2810.2383
## [57,] 7928.1321 2989.3557
## [58,] 1927.8185 1982.1127
## [59,] 4031.3051 4608.6101
## [60,] 8545.7097 5540.5008
## [61,] 3887.1771 6366.3959
## [62,] 656.9376 3518.9863
## [63,] 1631.6679 1741.0559
## [64,] 1929.4749 5033.2836
## [65,] 880.1020 1602.7270
## [66,] 6240.6810 1042.5767
## [67,] 335.7933 2260.0260
## [68,] 9579.0956 10005.0298
## [69,] 1673.9297 12318.8700
## [70,] 6129.2713 4173.9990
## [71,] 7365.2468 6031.1980
## [72,] 3762.4616 2678.4895
## [73,] 5667.3756 2963.1969
## [74,] 20773.2024 3597.5516
## [75,] 7271.2461 3615.1208
## [76,] 366.1560 4303.5988
## [77,] 11648.0837 6897.0627
## [78,] 10320.1201 4506.4594
## [79,] 3712.9189 6428.6730
## [80,] 6467.7134 13302.5549
## [81,] 6740.6837 5428.0725
## [82,] 1960.9922 5913.4589
## [83,] 11565.0941 6859.1630
## [84,] 2769.6142 8770.3594
## [85,] 3551.5374 11085.1982
## [86,] 9675.6856 4899.6121
## [87,] 2996.8424 7634.2996
## [88,] 2188.1002 4224.7691
## [89,] 11075.8811 3691.3824
## [90,] 8947.8301 5044.4590
## [91,] 8850.8968 7543.5221
## [92,] 7457.1093 9046.7612
## [93,] 5264.6356 5816.4137
## [94,] 2072.3989 6650.5840
## [95,] 8056.6184 3084.6535
## [96,] 6192.3645 8748.7710
## [97,] 4059.0259 7138.6090
## [98,] 7257.7388 8214.7700
## [99,] 7703.9637 1629.3130
## [100,] 4570.1132 9061.1047
## [101,] 3587.1345 673.4679
## [102,] 7654.0687 5932.9677
## [103,] 11360.5514 2209.5535
## [104,] 4804.3353 1919.3878
## [105,] 5457.1737 715.2316
## [106,] 8458.0249 3311.4652
## [107,] 11800.2248 4269.8691
## [108,] 8998.5157 14169.1473
## [109,] 1119.8599 3416.5343
## [110,] 5236.4772 4965.8712
## [111,] 2486.1166 5141.1074
## [112,] 1145.6072 1095.2549
## [113,] 4526.6953 1468.0584
## [114,] 4397.4249 4563.4791
## [115,] 2730.3901 8911.1533
## [116,] 3174.9284 4938.2785
## [117,] 2222.4344 5697.7577
## [118,] 6861.6319 2758.0857
## [119,] 2983.8325 5460.6819
## [120,] 4121.9383 4336.1749
## [121,] 638.1770 2968.2263
## [122,] 582.1800 7794.6918
## [123,] 887.4345 12053.1581
## [124,] 781.0091 1364.8137
## [125,] 4303.4696 4363.7940
## [126,] 1887.1610 2007.2768
## [127,] 1422.4899 3664.8026
## [128,] 5621.2427 3927.2083
## [129,] 6744.0968 6492.0926
## [130,] 272.4956 874.3260
## [131,] 6441.6670 19211.5250
## [132,] 3168.1560 6152.9596
## [133,] 8822.2910 844.5418
## [134,] 7956.2780 2210.8464
## [135,] 14610.0494 12403.7759
## [136,] 4050.5723 18495.5154
## [137,] 6726.8486 13933.2803
## [138,] 7575.7860 1305.1640
## [139,] 7058.5142 4274.4466
## [140,] 4082.9620 4022.2396
## [141,] 7788.4967 9538.5987
## [142,] 12993.8015 1619.9580
## [143,] 6136.7697 1426.7647
## [144,] 340.1199 8298.1403
## [145,] 7933.5882 8779.5715
## [146,] 10704.9418 8585.3268
## [147,] 22076.8647 2299.9893
## [148,] 1392.7284 18451.1324
## [149,] 12457.7209 8860.8662
## [150,] 4288.4348 2734.1884
## [151,] 1673.6026 4027.0052
## [152,] 9483.7140 5563.1358
## [153,] 3387.6381 1438.8510
## [154,] 13235.2843 3414.1519
## [155,] 24913.4602 5135.4350
## [156,] 1855.0098 1371.5580
## [157,] 3367.6514 6102.7097
## [158,] 1621.8631 4766.5792
## [159,] 4888.2415 7514.4626
## [160,] 677.2541 3189.7953
## [161,] 2252.4805 4687.2107
## [162,] 8353.0129 4540.9544
## [163,] 5076.2511 5518.7363
## [164,] 3226.2064 1324.1277
## [165,] 6028.7061 2400.9416
## [166,] 1432.3802 1402.0576
## [167,] 1531.6190 25615.8960
## [168,] 3909.3446 860.3774
## [169,] 3609.5697 4867.3300
## [170,] 1823.6131 4026.0678
## [171,] 8440.3456 17374.1176
## [172,] 589.6279 5763.6583
## [173,] 6880.4115 14370.3304
## [174,] 5591.7541 2788.0593
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## [656,] 926.9798 2624.7304
## [657,] 3689.3633 3427.1887
## [658,] 1473.3889 2198.0914
## [659,] 12992.3924 7503.8336
## [660,] 3456.3427 5034.8672
## [661,] 4185.0474 1370.5436
## [662,] 4680.8874 2045.4896
## [663,] 2698.8452 2919.9093
## [664,] 4348.4741 4256.2373
## [665,] 15070.2887 6629.1912
## [666,] 5067.7303 9793.2584
## [667,] 2808.9726 4933.3111
## [668,] 2945.5954 5783.8487
## [669,] 309.4006 1068.9911
## [670,] 157.5431 16582.3897
## [671,] 264.9184 3843.0389
## [672,] 6687.3136 8845.9966
## [673,] 470.4066 12617.2008
## [674,] 6318.2064 3154.7824
## [675,] 6320.9398 9392.5971
## [676,] 727.8838 6924.8084
## [677,] 2495.7374 5255.5648
## [678,] 2985.2112 2401.5789
## [679,] 10709.0596 6318.2532
## [680,] 12704.6759 4240.2451
## [681,] 8679.2212 5550.7939
## [682,] 2286.8966 2879.7898
## [683,] 5315.8632 4636.1742
## [684,] 2754.4123 3372.6566
## [685,] 7294.9823 5192.5522
## [686,] 6254.9845 2328.3558
## [687,] 2761.9913 4501.3307
## [688,] 4980.8477 5374.4086
## [689,] 472.8485 3330.9591
## [690,] 654.6519 3589.6852
## [691,] 2572.8915 9179.9534
## [692,] 20373.7121 1578.7358
## [693,] 5034.7332 7688.4409
## [694,] 10470.3574 1080.0416
## [695,] 3003.9072 9538.1148
## [696,] 5046.8629 1917.9021
## [697,] 537.0295 3025.2178
## [698,] 1956.3537 4473.1575
## [699,] 4507.4029 6184.3090
## [700,] 4233.6475 5652.0805
## [701,] 1820.5914 5939.4859
## [702,] 1498.8037 2793.2788
## [703,] 1448.9154 3398.6138
## [704,] 5495.7772 4033.1980
## [705,] 9455.3713 4156.9833
## [706,] 7062.8828 2649.0624
## [707,] 12655.1237 11440.7237
## [708,] 1086.7181 2707.1257
## [709,] 1654.4788 8673.3544
## [710,] 2924.4485 1754.0799
## [711,] 970.7582 2198.8393
## [712,] 639.6616 440.2863
## [713,] 7954.0500 3224.8245
## [714,] 4904.7511 7747.8744
## [715,] 1155.0696 497.9615
## [716,] 6227.6439 3899.7304
## [717,] 2703.4054 7399.1752
## [718,] 2237.2748 5902.8576
## [719,] 7529.8852 1982.3625
## [720,] 5185.0422 5111.5871
## [721,] 2519.6435 9943.9430
## [722,] 756.4213 23453.4195
## [723,] 9322.6994 3859.9857
## [724,] 11767.7783 9846.4717
## [725,] 3228.0510 2352.0170
## [726,] 2474.0776 8488.3390
## [727,] 4418.0516 1154.5143
## [728,] 525.8800 9864.8429
## [729,] 2885.5477 7109.3117
## [730,] 3316.0895 1369.0485
## [731,] 2496.0517 2394.1640
## [732,] 1392.3348 7809.6720
## [733,] 485.8358 6384.6722
## [734,] 867.4924 2141.2801
## [735,] 609.2996 2770.6006
## [736,] 2127.5886 2506.5042
## [737,] 4385.6402 3184.7182
## [738,] 1665.9658 2713.2830
## [739,] 9027.2542 1946.3446
## [740,] 4000.4243 4719.7637
## [741,] 1426.1747 6767.7335
## [742,] 4949.8349 3905.0990
## [743,] 2046.2081 547.6063
## [744,] 3234.0174 9581.4319
## [745,] 2188.9521 7519.6957
## [746,] 1035.5001 8957.2688
## [747,] 7686.4938 6436.8380
## [748,] 12176.4764 9626.6044
## [749,] 340.9570 3022.8080
## [750,] 10257.0914 8211.2116
## [751,] 2688.0130 2665.9325
## [752,] 4136.1571 1348.6608
## [753,] 1806.7172 2044.7509
## [754,] 9074.3550 6742.9470
## [755,] 1440.6039 10572.5185
## [756,] 4473.2010 9234.3320
## [757,] 573.5647 6784.9074
## [758,] 3659.1023 1295.0055
## [759,] 4695.5325 4286.0078
## [760,] 2169.7393 6153.8886
## [761,] 1493.9328 1560.5197
## [762,] 2859.4855 7251.3519
## [763,] 3789.2019 4864.1492
## [764,] 7998.8100 7254.7866
## [765,] 852.3442 2737.8563
## [766,] 1762.5953 3288.2805
## [767,] 3842.8089 4131.9835
## [768,] 1601.5106 1277.2071
## [769,] 8947.8529 1870.1818
## [770,] 7030.4975 11477.9095
## [771,] 2459.8771 4527.6597
## [772,] 1819.8879 2718.8484
## [773,] 4569.3949 2830.3979
## [774,] 4321.6921 2337.2009
## [775,] 1293.0088 10200.6255
## [776,] 1850.4341 6995.3472
## [777,] 459.1789 2090.3812
## [778,] 6075.4502 4682.3000
## [779,] 11069.9514 4951.2448
## [780,] 3316.2887 4488.4852
## [781,] 5297.1483 5239.6577
## [782,] 1308.9349 412.6526
## [783,] 1054.2674 2433.6015
## [784,] 7600.4650 9701.4122
## [785,] 6500.1972 4397.5012
## [786,] 18809.8826 3691.7764
## [787,] 1294.7310 8789.4159
## [788,] 4238.6124 4789.5369
## [789,] 9953.0968 7464.8115
## [790,] 11506.2808 2526.2102
## [791,] 1814.8549 7421.1025
## [792,] 4446.9678 11131.6050
## [793,] 1898.7724 945.9140
## [794,] 2606.1103 9568.5477
## [795,] 4017.5749 3584.6104
## [796,] 1873.5774 2723.1153
## [797,] 10654.1022 5404.1809
## [798,] 3850.0103 3198.4937
## [799,] 5339.0479 5012.1104
## [800,] 441.9525 5419.9909
## [801,] 8780.3194 7965.0081
## [802,] 4902.9149 2958.6655
## [803,] 12499.1765 1953.3064
## [804,] 23162.8996 10270.8842
## [805,] 13245.5085 1227.3104
## [806,] 1449.7957 598.8157
## [807,] 2181.1474 6240.2286
## [808,] 1256.2220 6768.7500
## [809,] 11968.3089 5311.1253
## [810,] 5157.3087 1918.4969
## [811,] 454.9085 4869.8796
## [812,] 6858.4803 4820.8141
## [813,] 622.4768 2257.7459
## [814,] 1903.9981 30874.5896
## [815,] 4234.7089 4509.5354
## [816,] 3482.9107 2303.7098
## [817,] 4699.3569 8370.9760
## [818,] 5968.9143 3636.6254
## [819,] 2039.0194 3713.3264
## [820,] 5107.5005 8896.0277
## [821,] 9093.4140 13082.9940
## [822,] 1860.0315 1854.6771
## [823,] 555.7347 3371.0960
## [824,] 2718.8785 3077.6598
## [825,] 5843.7939 12760.5812
## [826,] 3041.5838 4078.3907
## [827,] 10605.3370 30096.6816
## [828,] 2300.8227 3432.5593
## [829,] 2342.2558 1675.3559
## [830,] 5841.8729 2951.0610
## [831,] 1482.9921 3966.6624
## [832,] 11091.3910 923.8678
## [833,] 1222.0171 3353.8391
## [834,] 5943.7067 1998.4629
## [835,] 3351.3801 3496.7580
## [836,] 7154.1349 1391.8557
## [837,] 915.4428 6172.4561
## [838,] 775.3252 2173.8633
## [839,] 1339.8309 3557.3024
## [840,] 5618.6285 10374.0705
## [841,] 5980.0028 3621.8795
## [842,] 2843.0009 3796.6427
## [843,] 2156.8425 4523.0965
## [844,] 1223.1349 7998.8005
## [845,] 2713.3278 2754.9603
## [846,] 15345.1636 5300.9866
## [847,] 1398.6093 3413.1760
## [848,] 866.4090 9068.0146
## [849,] 696.0556 5133.9812
## [850,] 6497.9090 2887.7042
## [851,] 475.4466 6993.9508
## [852,] 1522.2273 2737.0312
## [853,] 775.7082 4540.1600
## [854,] 872.7400 4565.8949
## [855,] 1263.5578 11914.8167
## [856,] 10305.4021 3265.9347
## [857,] 3811.8223 809.0022
## [858,] 3952.5956 7264.4929
## [859,] 1347.9193 1980.6189
## [860,] 2224.1954 14796.7184
## [861,] 1241.8411 9622.7430
## [862,] 2678.0821 11439.0578
## [863,] 8836.2612 6905.4724
## [864,] 4958.0643 2907.5104
## [865,] 10050.1096 1975.0919
## [866,] 3735.1593 2705.4502
## [867,] 254.3321 5634.9828
## [868,] 1086.3566 4006.3960
## [869,] 1146.9502 1870.3180
## [870,] 3506.7832 10374.0781
## [871,] 1071.4838 2140.8012
## [872,] 6110.9106 16067.3604
## [873,] 8267.2347 5451.5299
## [874,] 5820.7842 7522.0037
## [875,] 657.2446 2280.0628
## [876,] 6676.1916 11844.6744
## [877,] 6334.2036 3192.9044
## [878,] 2434.8650 8820.1001
## [879,] 979.8402 3564.8454
## [880,] 20472.1106 7827.8787
## [881,] 8260.6208 9765.6898
## [882,] 9142.0893 1552.8510
## [883,] 5796.9743 11248.5279
## [884,] 6232.6636 3768.1437
## [885,] 556.7082 927.2696
## [886,] 2461.2198 14892.6999
## [887,] 6090.2193 10559.2729
## [888,] 1835.3846 2947.9881
## [889,] 5560.5697 5958.6093
## [890,] 3240.6582 3801.1929
## [891,] 3837.5975 1080.7733
## [892,] 13403.4999 7967.3234
## [893,] 8733.6906 3804.1689
## [894,] 9956.1856 6603.6466
## [895,] 974.1607 4494.3138
## [896,] 6987.8900 1359.8368
## [897,] 2491.4073 8449.1174
## [898,] 1891.9002 1575.5828
## [899,] 4597.3908 4966.9096
## [900,] 145.5581 8319.9534
## [901,] 3859.0042 16336.0373
## [902,] 19537.7477 4579.5711
## [903,] 4228.9517 2160.8554
## [904,] 21892.8884 5579.8926
## [905,] 1649.1034 7862.7792
## [906,] 6053.8118 1778.8229
## [907,] 7129.1768 6206.5193
## [908,] 6977.0908 3963.9938
## [909,] 3999.6462 3627.2919
## [910,] 3527.3143 6971.6419
## [911,] 2526.7137 367.2117
## [912,] 10196.8663 4564.1555
## [913,] 3066.4978 3786.5414
## [914,] 10723.5000 5304.5425
## [915,] 9647.9345 12470.7056
## [916,] 6620.6428 2105.6142
## [917,] 7126.3350 1833.9013
## [918,] 1489.8387 4682.9346
## [919,] 8966.9403 1395.3224
## [920,] 6766.3500 6289.5321
## [921,] 11688.7437 3375.2859
## [922,] 4924.3718 5154.6541
## [923,] 576.2069 5520.6163
## [924,] 2724.1601 2817.2039
## [925,] 4447.3191 2261.8262
## [926,] 957.3333 702.4633
## [927,] 15143.6742 3432.5476
## [928,] 3337.9349 8701.3544
## [929,] 3576.4747 3175.2986
## [930,] 4047.7624 14974.9781
## [931,] 8261.0510 13552.2925
## [932,] 1609.8970 9610.8870
## [933,] 5308.2312 2338.1757
## [934,] 4351.7613 3939.3609
## [935,] 3639.4025 8854.0781
## [936,] 3358.1382 3467.4353
## [937,] 2425.3398 400.1900
## [938,] 1480.8721 4481.0116
## [939,] 4130.6907 24279.9952
## [940,] 3375.7243 2674.1250
## [941,] 1515.5816 10112.8174
## [942,] 2128.3147 13132.9604
## [943,] 3151.6144 918.7329
## [944,] 7269.3255 4376.8163
## [945,] 5976.5211 14061.5039
## [946,] 1452.2523 5921.6750
## [947,] 8536.7856 15696.9706
## [948,] 17021.1930 8224.3458
## [949,] 432.3068 7999.9235
## [950,] 13489.7194 4915.9629
## [951,] 3690.9225 4873.6292
## [952,] 12264.3846 2679.5457
## [953,] 2200.1664 3590.5925
## [954,] 2815.8409 7229.8445
## [955,] 1890.6878 3124.2475
## [956,] 891.6222 2975.1987
## [957,] 3161.7958 7517.3899
## [958,] 23305.2353 4447.1851
## [959,] 1827.9591 3846.2279
## [960,] 5749.5275 4912.1554
## [961,] 1547.9200 9702.4756
## [962,] 8889.2752 19855.2884
## [963,] 2038.0681 2701.9734
## [964,] 8638.2050 2805.1987
## [965,] 3145.8821 12601.7720
## [966,] 3090.1591 3496.6871
## [967,] 2916.3922 2003.9958
## [968,] 6069.8252 9324.9161
## [969,] 3847.5576 438.0399
## [970,] 4159.2187 11539.0287
## [971,] 14951.1328 10050.6099
## [972,] 2428.8539 2538.6292
## [973,] 5383.9142 5237.7634
## [974,] 5856.0405 7285.8901
## [975,] 1420.1064 17953.7554
## [976,] 2418.5814 11606.9659
## [977,] 3346.4958 11538.4541
## [978,] 6500.4378 4001.7479
## [979,] 2634.9206 2042.0502
## [980,] 1575.0757 6318.2829
## [981,] 4286.2971 4467.8381
## [982,] 6914.0300 1225.0927
## [983,] 242.3489 2646.1605
## [984,] 1078.2306 7059.3229
## [985,] 2108.9974 1881.1883
## [986,] 5171.0768 5500.0659
## [987,] 1728.2021 2802.9294
## [988,] 3585.1978 3258.5064
## [989,] 13082.1561 5733.6368
## [990,] 1097.1381 7251.5438
## [991,] 2367.3671 2360.0726
## [992,] 20533.3309 13730.1501
## [993,] 3314.5285 13411.4352
## [994,] 3605.9446 1422.6358
## [995,] 1105.8754 1293.7319
## [996,] 1340.0084 1320.6311
## [997,] 2785.0182 7839.0381
## [998,] 11852.5175 922.0568
## [999,] 545.6958 6700.5429
## [1000,] 5762.5156 2733.8820
##
## $`p-values`
## [1] 0 0
Wykazano istotne różnice między wynagrodzeniami a rasą i edukacją, na co wskazują wartości wartości p-value równe 0 (<0,05).
Następnie zostanie przeprowadzona ANOVA z interakcjami.
summary(aov(wage~race*education,data = Wage))
## Df Sum Sq Mean Sq F value Pr(>F)
## race 3 63212 21071 15.863 3.12e-10 ***
## education 4 1179757 294939 222.042 < 2e-16 ***
## race:education 12 20777 1731 1.304 0.209
## Residuals 2980 3958340 1328
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Oddzielnie wpływ rasy i edukacji jest istotny statystycznie na zarobki (p-value < 0,05), jednak interakcja rasy i edukacji na zarobki jest już nieistotna statystycznie (p-value > 0,05).
ANOVA.boot(wage~race*education,data = Wage)
## $terms
## [1] "race " "education " "race:education" "Residuals "
##
## $df
## [1] 3 4 12 2980
##
## $origFStats
## [1] 15.862795 222.042265 1.303511
##
## $origSSE
## [1] 3958340
##
## $origSSTr
## [1] 63211.74 1179756.70 20777.48
##
## $bootFStats
## [,1] [,2] [,3]
## [1,] 3.307881731 0.45769754 0.48716866
## [2,] 1.355722015 1.45402141 0.98657623
## [3,] 0.111710458 0.06800914 1.41632256
## [4,] 0.515644520 1.65616281 0.97368714
## [5,] 0.458507655 1.16888292 1.36534833
## [6,] 0.223448063 1.05687475 0.54057468
## [7,] 0.091445252 0.94279429 1.58788516
## [8,] 0.693461282 0.72503005 1.18050229
## [9,] 3.393533874 3.23290796 1.29622447
## [10,] 1.003145354 0.10437886 0.47205682
## [11,] 0.692921308 0.18489135 0.57715616
## [12,] 1.245574492 0.91754421 0.47671383
## [13,] 0.549570579 0.54341372 0.74671257
## [14,] 0.174177340 0.67829224 1.92136891
## [15,] 0.240745433 0.43512423 1.78846767
## [16,] 0.153748940 0.30022325 1.03944391
## [17,] 2.219539689 2.11127178 1.92128470
## [18,] 0.378185925 0.66766352 0.65905440
## [19,] 0.854191482 0.49150222 0.40159114
## [20,] 0.822745139 0.25996284 1.13446114
## [21,] 1.986960477 0.87798832 0.45039254
## [22,] 4.665640969 0.72245913 1.53883045
## [23,] 0.173308144 0.93645718 2.23610130
## [24,] 0.365785165 1.02085838 1.77797444
## [25,] 2.918874197 0.83728474 0.79129392
## [26,] 0.591954230 0.31359192 1.06179837
## [27,] 0.397425609 0.04559188 0.89963675
## [28,] 0.642119648 0.78888865 2.41386387
## [29,] 0.281907115 0.80236398 0.52074333
## [30,] 0.205872638 0.16433400 0.94550319
## [31,] 0.668254953 0.46501532 1.10407991
## [32,] 0.683171239 0.68690092 1.04440745
## [33,] 0.651480215 1.06488938 1.54284287
## [34,] 1.261345341 0.41917471 0.25596503
## [35,] 0.669072878 0.98309976 0.96243269
## [36,] 1.318184316 0.33683050 0.62124788
## [37,] 0.579927882 3.19313909 0.78439743
## [38,] 0.947293117 1.07904414 1.58763794
## [39,] 0.693460926 1.01597635 0.71036125
## [40,] 0.198497388 0.95988480 0.71154926
## [41,] 0.758231692 0.53348414 0.86114775
## [42,] 2.317197443 1.22943763 0.54364000
## [43,] 3.320788687 0.82964110 1.39953237
## [44,] 2.298059200 0.44175987 2.40194812
## [45,] 1.387820497 0.59586916 1.58918758
## [46,] 0.322221306 0.57408091 0.78113516
## [47,] 1.189094072 0.31292849 1.67471960
## [48,] 0.731061939 0.80885566 0.93285671
## [49,] 2.001932657 0.34119462 0.33456278
## [50,] 1.055147601 0.87054078 2.00119967
## [51,] 0.155933734 0.33274874 0.75153894
## [52,] 0.810233864 0.53637613 1.12438756
## [53,] 0.285756804 2.20749811 1.14667948
## [54,] 0.983580199 1.30995636 1.30335003
## [55,] 1.218709464 1.49442199 1.68663826
## [56,] 0.101487713 0.58647247 1.44714435
## [57,] 0.898549839 0.52801666 1.21947039
## [58,] 0.536956165 0.47094681 1.73762132
## [59,] 0.680527942 1.51569256 1.42521753
## [60,] 0.739850682 0.16078336 0.76295901
## [61,] 2.827377659 2.59433783 0.35123492
## [62,] 1.120123807 1.04225587 1.53889256
## [63,] 2.386991453 0.50850252 1.53399084
## [64,] 1.436682835 2.45010715 0.97608270
## [65,] 1.240523984 1.34173152 1.06221432
## [66,] 0.643855954 1.91014627 2.26452846
## [67,] 0.651742106 0.62168831 0.66322383
## [68,] 1.391707293 0.77286461 1.24218581
## [69,] 0.994244818 1.47614115 0.59821418
## [70,] 1.097070764 0.48216536 1.04535956
## [71,] 2.032133430 1.72284541 1.33538005
## [72,] 0.650918903 0.84466744 1.00870801
## [73,] 0.269107553 0.92220458 0.76816120
## [74,] 1.482568455 1.54306466 0.71512748
## [75,] 0.950905727 1.13460337 1.70500593
## [76,] 0.518596151 0.62314346 1.13979183
## [77,] 1.188869222 1.70768526 0.69494022
## [78,] 2.002736482 0.74010837 0.94479694
## [79,] 4.209721727 1.09504049 1.21097147
## [80,] 1.053922624 1.28485861 0.68397720
## [81,] 2.502717491 1.17317743 0.68387402
## [82,] 0.368310971 0.51701363 0.85092373
## [83,] 0.900435566 1.30400066 0.95157303
## [84,] 0.727327541 1.13115640 0.55561612
## [85,] 0.826240976 0.81934068 1.29767688
## [86,] 2.649056072 3.35416513 0.85914189
## [87,] 2.001615875 0.53390560 1.34308331
## [88,] 1.521732561 0.09011080 2.52364620
## [89,] 1.084415990 1.05290920 1.50154309
## [90,] 1.231275451 1.44154006 0.30689104
## [91,] 1.922104981 0.37479803 1.78373834
## [92,] 1.104719635 0.89950415 1.12666887
## [93,] 1.665091730 0.73953153 1.29504752
## [94,] 0.097420373 0.80546139 0.49195747
## [95,] 0.142984012 2.22975554 0.73599138
## [96,] 0.091769364 0.94556718 1.00903762
## [97,] 0.428958250 0.40824534 1.03088585
## [98,] 0.847074339 0.52057218 1.82007321
## [99,] 0.939728589 0.61523221 1.26369820
## [100,] 1.404860909 0.52625181 0.57790422
## [101,] 0.064705693 1.53273676 1.02606741
## [102,] 1.085090506 0.89640255 0.69024496
## [103,] 1.718595016 1.53162244 1.42750105
## [104,] 0.662849224 2.64189384 1.07657472
## [105,] 0.425434997 1.91823203 0.69131444
## [106,] 0.931674172 0.76416972 0.50408317
## [107,] 1.133606160 0.36212819 1.37236224
## [108,] 2.668385608 0.70535672 0.95794932
## [109,] 0.997737402 1.54263187 1.37147900
## [110,] 0.924532135 2.77907973 1.15168778
## [111,] 0.792661963 1.28822837 0.73699548
## [112,] 0.380920180 0.94981836 0.74335153
## [113,] 0.439657470 1.10072220 1.12278954
## [114,] 1.911626489 1.23603547 2.23124859
## [115,] 2.574136522 0.28256604 1.30147428
## [116,] 0.311033816 1.79244432 1.07728759
## [117,] 1.249771601 1.25881829 0.37733886
## [118,] 2.297531479 1.22071161 1.84455124
## [119,] 1.980289052 1.10117072 0.44821218
## [120,] 1.358067938 1.12694113 1.13516296
## [121,] 0.688316616 0.64294602 1.11592075
## [122,] 0.583985505 1.38610352 2.03385612
## [123,] 0.134558595 1.18022142 0.41043060
## [124,] 1.072747227 1.29126692 1.07963038
## [125,] 0.149358976 0.38865617 1.03400563
## [126,] 0.615332740 0.53775037 1.78947801
## [127,] 5.184577238 0.40776417 1.99282978
## [128,] 0.478619118 0.49668058 0.90073860
## [129,] 1.476711193 0.16504443 0.67234613
## [130,] 2.244224423 1.23341140 0.54628353
## [131,] 0.462928320 1.34891790 0.80912278
## [132,] 1.330013097 0.29707679 1.18270399
## [133,] 0.996056413 1.55646984 1.27675170
## [134,] 0.515735263 0.43593820 2.39579441
## [135,] 2.701524411 0.91264870 0.71774786
## [136,] 1.653509914 0.57751789 0.45780896
## [137,] 0.878970136 0.72455686 0.90610692
## [138,] 0.714929339 0.35423555 0.60456823
## [139,] 0.395899591 0.48345573 1.13964155
## [140,] 1.821018946 0.75556737 1.13770960
## [141,] 0.252183580 1.28114865 0.66860891
## [142,] 1.608660377 2.03917311 1.06856223
## [143,] 1.182274244 3.88090228 2.40327461
## [144,] 0.861626835 0.52762379 1.69993034
## [145,] 0.657130720 1.03408564 1.41145688
## [146,] 0.726659115 0.57467536 1.73785381
## [147,] 1.272275128 0.84474814 1.80153135
## [148,] 2.610677082 2.19233406 1.40147064
## [149,] 0.248593603 1.75849363 1.02385108
## [150,] 1.156965711 1.75053017 0.43961616
## [151,] 2.261166812 0.42409258 1.22290252
## [152,] 0.938791253 0.36377292 1.84600236
## [153,] 0.651526882 0.80488489 0.93827776
## [154,] 0.319707526 4.52080160 0.94093009
## [155,] 1.624580078 0.83167681 1.01411148
## [156,] 2.651710729 0.91900992 1.47694917
## [157,] 1.076554243 0.79891245 0.97645412
## [158,] 0.270751688 1.68396255 1.13819277
## [159,] 0.685172830 0.17138752 0.98342890
## [160,] 0.568624403 0.97563097 0.80385476
## [161,] 0.082140126 0.90007761 1.27102255
## [162,] 0.739474279 0.03914140 1.50790379
## [163,] 1.643159586 1.18930018 0.48624625
## [164,] 0.847412801 1.38044035 0.68865279
## [165,] 1.050071539 1.24980071 1.15732370
## [166,] 0.282106958 0.22319824 0.90352411
## [167,] 0.334708421 1.09654301 0.99067427
## [168,] 0.716494462 0.87403836 2.00479590
## [169,] 0.912776720 0.48434484 0.81055073
## [170,] 0.635781977 0.74430385 0.63347588
## [171,] 1.133546644 2.01206139 1.29127671
## [172,] 2.342606193 0.68391890 1.76266147
## [173,] 1.209265320 0.17051777 0.46834879
## [174,] 1.664413121 0.04794165 1.35040017
## [175,] 2.214365486 1.27706459 1.21124044
## [176,] 0.323131511 2.29775312 1.39120854
## [177,] 1.404129587 2.07825380 1.17492721
## [178,] 0.115854316 1.72320777 0.90418396
## [179,] 3.471099026 1.00097702 1.10791688
## [180,] 1.881134821 0.27196890 1.81252713
## [181,] 0.375217527 0.30904307 1.32373162
## [182,] 1.198453046 0.57138502 0.66806602
## [183,] 0.283624834 0.05209911 0.86619051
## [184,] 1.259296062 0.52271308 0.85815393
## [185,] 0.753928398 0.84459559 1.45602754
## [186,] 1.045685480 0.20908349 0.90475948
## [187,] 0.949967716 0.52670843 0.99708625
## [188,] 0.575209930 0.93107524 0.65338042
## [189,] 1.074524767 0.62500747 0.89773576
## [190,] 1.194167751 1.57952373 2.83440539
## [191,] 0.907383085 0.29633970 1.79612293
## [192,] 0.010030687 0.70574789 0.93232611
## [193,] 0.338360085 2.15201867 1.21979480
## [194,] 2.641710789 5.46091276 1.12471915
## [195,] 0.407297751 0.44731854 0.57582465
## [196,] 1.267656964 0.09409307 0.80446671
## [197,] 0.860888203 1.29042889 0.65419287
## [198,] 0.086476225 1.19375516 0.77695925
## [199,] 0.638628834 1.47996032 2.05542164
## [200,] 0.813903041 0.11931731 0.75688895
## [201,] 0.405454812 0.33731758 0.84600098
## [202,] 0.992825316 0.59198177 1.05977473
## [203,] 1.774081313 1.25581757 1.04282625
## [204,] 1.349414457 0.34192419 1.83787047
## [205,] 0.808614093 0.58008369 1.82556769
## [206,] 0.695794395 0.59451783 0.92467672
## [207,] 0.959772382 0.05806197 1.50928058
## [208,] 1.180795446 0.49315041 0.64035543
## [209,] 1.885142936 3.18513345 0.94544759
## [210,] 2.099404102 0.16443895 1.80546423
## [211,] 0.732406010 0.26187995 0.54666948
## [212,] 0.587134923 0.95866172 1.28479898
## [213,] 0.362106008 3.36883864 0.59592896
## [214,] 1.084903872 0.54878526 2.03769829
## [215,] 0.500478986 0.52120315 1.11040650
## [216,] 0.442615604 2.86138217 0.38183586
## [217,] 0.112304340 0.93763170 1.15514561
## [218,] 0.146045163 0.37677951 0.71632496
## [219,] 0.618236348 0.32794728 0.92068185
## [220,] 0.254854131 0.54832622 1.41369331
## [221,] 0.834074616 2.10792348 1.22144214
## [222,] 1.867880164 2.05112651 1.13095117
## [223,] 0.368657949 2.05505107 0.89971566
## [224,] 1.725166284 2.31576206 0.91021045
## [225,] 1.327871737 2.74521239 0.52796492
## [226,] 1.799531065 0.88679612 0.91348349
## [227,] 0.878343130 0.71792620 0.90557982
## [228,] 0.087446140 0.78644505 1.32012273
## [229,] 0.300613080 0.33686722 0.81593599
## [230,] 0.868989087 2.06143320 1.66255836
## [231,] 3.733477599 0.35558343 0.66503505
## [232,] 0.379060293 1.87862170 1.32547156
## [233,] 1.925334310 1.91897452 2.43410715
## [234,] 0.333500305 1.32297533 0.77630600
## [235,] 0.877811754 0.87904498 1.02208090
## [236,] 0.720748479 0.73873172 0.86965638
## [237,] 0.204285185 0.17079640 0.92672599
## [238,] 2.319649504 0.38586609 1.37164071
## [239,] 1.264018080 0.61268855 0.76810065
## [240,] 0.701217267 0.22540584 0.82733727
## [241,] 0.312090449 0.33989787 0.82846520
## [242,] 2.779991718 1.04807368 1.41603796
## [243,] 1.494241096 0.77470109 1.25359357
## [244,] 0.539722258 0.35987591 1.49388707
## [245,] 0.177262983 2.08978262 0.26545891
## [246,] 1.231259571 0.89399617 0.26775402
## [247,] 0.611660845 1.34577987 0.83032032
## [248,] 0.719279277 0.92376975 1.15594419
## [249,] 1.339597336 0.87974865 0.60036652
## [250,] 0.428932552 1.08690024 0.65399217
## [251,] 2.006635143 2.02051017 0.47309849
## [252,] 0.924635232 1.10091596 0.65999759
## [253,] 0.884275536 0.53149622 2.09349159
## [254,] 0.498681042 2.47680069 1.08973834
## [255,] 0.604362546 0.61082515 0.93411723
## [256,] 0.072387732 0.82612279 1.15140742
## [257,] 0.690591221 0.45983341 0.76418945
## [258,] 0.895354902 1.06139246 0.30712867
## [259,] 0.321807692 0.40148212 0.83472696
## [260,] 1.632124740 0.21157079 1.19737870
## [261,] 0.129103586 0.56855563 2.04575312
## [262,] 1.011179496 1.58572847 1.48128567
## [263,] 1.513594154 0.98353035 0.65057002
## [264,] 0.160039023 1.02131386 2.01412472
## [265,] 3.180505863 1.70439386 1.21964717
## [266,] 0.316115928 1.57979198 0.65577604
## [267,] 0.014847609 0.37784156 1.02831874
## [268,] 0.909307424 0.63747718 1.39770706
## [269,] 1.601410256 0.79879235 1.53564009
## [270,] 2.878900623 0.25328574 0.76104911
## [271,] 0.853073967 1.62457761 0.92837459
## [272,] 0.477960042 1.75722905 1.00682066
## [273,] 0.117979178 0.91561997 1.10059857
## [274,] 1.795668848 1.26716435 0.37387836
## [275,] 0.639376232 0.84926930 1.14811974
## [276,] 0.106917240 1.85654952 1.05568766
## [277,] 3.486620828 0.28521775 1.53477513
## [278,] 0.712714164 1.13341755 0.99531489
## [279,] 0.767461119 0.22600345 0.83208621
## [280,] 0.325566322 0.55156355 0.65736887
## [281,] 1.270169231 0.69380771 0.61084275
## [282,] 0.768804909 1.09991296 1.55513970
## [283,] 0.335856449 0.80216920 1.23520240
## [284,] 0.780233199 0.08399466 1.14742736
## [285,] 0.227004289 1.48149900 1.33831738
## [286,] 0.427812986 0.23368683 1.46073175
## [287,] 0.227577467 0.65892860 0.75390436
## [288,] 0.369124323 1.34001951 1.10795606
## [289,] 0.584688778 2.11644310 1.18123845
## [290,] 0.436650384 1.02538054 1.09073431
## [291,] 0.595489944 1.93979214 1.15961517
## [292,] 0.394916028 0.20488754 0.87549532
## [293,] 0.363106907 1.04844733 1.05999542
## [294,] 0.126367777 0.05800602 0.29748275
## [295,] 1.449158490 3.33987485 1.90841174
## [296,] 0.260873806 2.30803541 0.91892739
## [297,] 3.736398332 0.53824156 0.86735774
## [298,] 0.315142507 0.24771692 0.51363651
## [299,] 2.177561565 0.90827840 0.94256341
## [300,] 0.153870494 0.31608520 0.23131223
## [301,] 1.527950541 0.18078829 1.30709275
## [302,] 0.209060137 0.66136069 0.61773534
## [303,] 0.747965073 0.89143001 1.66832815
## [304,] 0.815755417 0.50287385 0.44728896
## [305,] 1.194206200 1.80934464 0.74020925
## [306,] 0.315581605 0.75506085 0.50335176
## [307,] 0.933246800 1.32051223 0.63391946
## [308,] 1.031640428 1.64955056 0.85562965
## [309,] 1.497607300 1.14674905 1.08851998
## [310,] 0.270075591 0.54569802 0.90969217
## [311,] 1.858836556 1.30902731 0.87675739
## [312,] 2.815930529 0.69271909 1.48443630
## [313,] 0.430700963 0.24752000 0.94867473
## [314,] 1.811312162 0.11091524 0.63166959
## [315,] 1.223069709 0.10698956 0.87463769
## [316,] 0.750753735 1.19871660 0.33080673
## [317,] 0.097242596 0.40440938 1.33511460
## [318,] 1.954222969 2.02114809 2.42554349
## [319,] 0.250431235 1.19902313 0.68846914
## [320,] 1.032475915 0.27652687 1.44050997
## [321,] 1.718523339 1.32424891 0.51879427
## [322,] 0.917088568 0.44246360 0.94062400
## [323,] 0.740748330 0.51739008 0.85334810
## [324,] 1.742779568 1.84631846 0.99995241
## [325,] 1.247581629 0.44063842 0.81593306
## [326,] 0.093645551 0.40015058 1.48953036
## [327,] 0.031403121 2.05052844 0.60590600
## [328,] 2.506377422 0.27113040 0.69848658
## [329,] 0.996468495 0.99051342 0.46866277
## [330,] 0.770230327 1.10319451 0.44508039
## [331,] 1.262425321 1.24780842 0.75995297
## [332,] 1.703868391 1.19882531 0.77935648
## [333,] 1.370385247 0.44280041 0.77618658
## [334,] 0.508328124 1.01943711 0.67051076
## [335,] 0.514740458 1.70247942 2.08216313
## [336,] 1.172803259 0.75607838 1.22808479
## [337,] 0.577613369 0.27611800 0.48263276
## [338,] 0.896746068 1.45863974 1.61096662
## [339,] 0.350203113 0.40542548 0.85206970
## [340,] 0.221369874 1.09707090 0.71686107
## [341,] 3.440790948 1.28005354 1.41811588
## [342,] 2.297281687 1.21140215 1.24845602
## [343,] 0.270637712 0.86363002 0.66537991
## [344,] 1.357165508 1.71053082 0.65350089
## [345,] 1.490226213 0.20336488 1.74201142
## [346,] 0.694752252 1.51530889 0.84707801
## [347,] 2.627036164 0.93085195 0.90342535
## [348,] 0.784806266 0.61146800 1.26601286
## [349,] 1.198524040 0.30942190 0.38649271
## [350,] 0.150684040 0.46389953 1.37590941
## [351,] 2.434387188 1.01004060 2.05400373
## [352,] 0.502266305 0.54956673 0.57515748
## [353,] 0.726935810 1.85469233 1.16754219
## [354,] 0.790134795 1.08394480 1.43225177
## [355,] 1.813786277 0.93389361 1.47533092
## [356,] 0.388103842 0.44907946 0.39212955
## [357,] 0.422690084 0.43249656 0.38407430
## [358,] 2.412729895 2.31103698 0.79972305
## [359,] 0.600275215 0.44772557 0.56554691
## [360,] 0.848966778 0.82571299 0.54619804
## [361,] 0.621681651 1.48232917 1.16960927
## [362,] 4.676610953 1.86364644 0.92622083
## [363,] 0.999976810 0.78879785 0.58187015
## [364,] 2.435337057 0.87762710 0.74116364
## [365,] 1.429636934 0.47730048 0.83620391
## [366,] 0.016338617 0.45161009 0.88769501
## [367,] 2.400693872 1.18990060 0.97634503
## [368,] 0.420187704 2.25452723 1.07194350
## [369,] 0.304580275 1.07358297 0.36588497
## [370,] 1.480938487 0.33257399 1.62955148
## [371,] 0.054427816 0.97486698 0.82006430
## [372,] 1.365572862 1.68854365 0.85594340
## [373,] 0.734671325 0.81274947 1.09209011
## [374,] 2.286907343 0.16691177 0.77493001
## [375,] 0.866102920 0.46847509 1.35317789
## [376,] 1.304139912 0.40186477 1.77276010
## [377,] 2.525567723 1.30324621 0.64731712
## [378,] 1.224797467 0.91408368 0.40204414
## [379,] 0.337300425 0.92501972 0.37963439
## [380,] 0.537778858 1.72234767 0.64520302
## [381,] 0.659441194 1.04884239 0.90680202
## [382,] 0.290514762 0.07550909 1.41948647
## [383,] 0.795593284 0.48005372 0.55524568
## [384,] 0.468528464 2.55512052 1.42050818
## [385,] 0.809789485 0.56450158 0.97363694
## [386,] 3.797593250 0.48386311 0.75896946
## [387,] 0.120976588 0.88920202 0.44703314
## [388,] 0.990384802 0.50779164 0.59426102
## [389,] 0.171694198 0.56824003 1.09640340
## [390,] 0.531444609 1.36059173 1.32418443
## [391,] 0.262847441 0.79597862 1.44885849
## [392,] 0.860808606 2.07630751 1.11357548
## [393,] 0.794397586 0.92929269 0.49282178
## [394,] 3.784237455 0.19518760 0.63327227
## [395,] 1.512930305 0.62797613 1.30008072
## [396,] 1.167829764 0.17402773 2.08328599
## [397,] 0.465140160 1.97052367 1.20935973
## [398,] 0.840898132 0.91923024 3.07919726
## [399,] 0.413109075 1.81824417 1.57654032
## [400,] 0.803535505 1.45766947 1.00111796
## [401,] 0.955049009 3.15282514 1.00673039
## [402,] 1.093663833 1.06617049 0.40351661
## [403,] 3.023862483 0.93885840 0.64613143
## [404,] 0.976440031 0.09624672 1.37307964
## [405,] 0.704302098 0.41271675 1.14252546
## [406,] 0.637574771 0.64795005 1.12239533
## [407,] 0.632985361 0.34627000 1.98254695
## [408,] 0.301459551 0.87820522 1.11705208
## [409,] 1.328331728 1.02341437 2.57362034
## [410,] 0.830372979 1.49786360 1.20184952
## [411,] 0.134081890 1.91121730 0.50020787
## [412,] 0.079362770 1.43416447 0.28864569
## [413,] 0.350702080 0.87761706 1.11630974
## [414,] 1.695396855 1.68852468 0.52221319
## [415,] 1.201635207 0.91676638 1.33658658
## [416,] 1.392015946 0.82602257 0.87569832
## [417,] 0.438004281 0.75762490 2.08046255
## [418,] 0.805536886 1.21043640 0.25191029
## [419,] 1.038091371 1.09029454 0.84153053
## [420,] 1.953612279 0.68436096 0.53191529
## [421,] 0.561650217 0.64064703 1.50845030
## [422,] 1.053151194 0.47617425 0.50083656
## [423,] 0.742045373 1.93988216 1.05597493
## [424,] 1.303000876 1.09450755 0.74079708
## [425,] 0.460719523 0.21614617 0.52778172
## [426,] 1.863334246 0.29823221 1.41231724
## [427,] 0.149378772 0.26268962 0.50810799
## [428,] 1.487042141 0.65813964 0.84543994
## [429,] 1.322835278 0.90030399 0.82518772
## [430,] 0.882554768 1.12700494 0.52172361
## [431,] 2.240853628 3.26665332 0.89159849
## [432,] 2.149745751 0.73134643 1.31645569
## [433,] 0.087337779 0.58797168 0.45076174
## [434,] 0.344387013 1.25213387 0.59072958
## [435,] 1.047568387 0.57555868 0.99531671
## [436,] 0.328888645 0.49907554 0.52243764
## [437,] 1.100846914 0.61184784 0.33351822
## [438,] 0.310784510 1.18626737 1.97210600
## [439,] 1.179483290 0.12863408 0.71739840
## [440,] 2.679968667 0.86262473 0.96680617
## [441,] 1.060199333 0.50882204 0.95376042
## [442,] 0.222813679 0.77179246 1.33281383
## [443,] 0.987963081 0.43413133 0.70464353
## [444,] 0.292497499 0.51036510 1.08778714
## [445,] 0.396824096 0.23051667 0.47374864
## [446,] 1.412101330 1.38790521 1.46770476
## [447,] 0.020317739 1.26929885 1.78280139
## [448,] 0.759582310 1.50909610 1.25790613
## [449,] 0.467190715 0.21675339 1.12647254
## [450,] 1.987206223 1.44531433 0.91489620
## [451,] 0.695650079 0.31525741 1.11874668
## [452,] 1.500546918 1.42278542 1.02026073
## [453,] 2.200362914 2.50588189 1.31829758
## [454,] 2.595360483 1.02825858 1.60405205
## [455,] 0.105259140 0.53859809 0.98833179
## [456,] 0.602914232 1.71858639 0.86545540
## [457,] 0.306267712 0.07700360 2.25888494
## [458,] 0.441861916 0.26149067 2.25941229
## [459,] 0.385227319 1.40320059 0.81474576
## [460,] 2.983578140 2.17461690 1.10703449
## [461,] 0.748466524 1.42270621 0.66511776
## [462,] 0.835406088 0.73476403 0.74260388
## [463,] 0.921169283 0.17558205 1.04719391
## [464,] 0.221953209 1.12508779 0.69858936
## [465,] 1.934655462 0.51075947 0.85950099
## [466,] 0.636309022 0.37810341 0.58082090
## [467,] 1.394752000 0.72359358 0.05806471
## [468,] 0.044415229 0.49151627 0.41587324
## [469,] 0.230034714 0.21402191 0.41988713
## [470,] 1.450733632 0.55983202 1.48112605
## [471,] 0.559243989 1.78770523 0.68509572
## [472,] 1.571174052 0.61852449 0.88008852
## [473,] 1.077575650 0.61394572 1.18632662
## [474,] 0.587770023 1.12961464 1.95645854
## [475,] 1.063931993 1.54113770 1.44761449
## [476,] 0.677842700 3.61193207 1.18193231
## [477,] 0.895301664 1.87238974 0.98624136
## [478,] 2.196193258 0.65318921 1.45570130
## [479,] 0.234332465 0.44883479 0.64427186
## [480,] 1.432314097 0.94435850 1.24674621
## [481,] 0.887689339 1.31990049 0.60000489
## [482,] 0.880319742 0.69355719 0.77558823
## [483,] 1.794899804 0.37318104 0.56763201
## [484,] 1.048498052 1.38144728 0.90127444
## [485,] 0.668532561 1.56796951 1.76840330
## [486,] 0.452254863 1.09154984 1.37576783
## [487,] 0.239221769 1.10136958 0.72891492
## [488,] 0.253813860 0.34381533 1.46487214
## [489,] 0.387796330 0.67279691 0.83668524
## [490,] 1.410226463 0.08209038 1.42866066
## [491,] 1.692577194 0.68057072 1.37850759
## [492,] 3.234819867 0.28935211 1.29695794
## [493,] 1.826387900 0.82087890 1.66179064
## [494,] 0.171219793 0.79901637 0.97365335
## [495,] 2.620639206 0.68648549 0.68255614
## [496,] 1.345163838 0.89136668 0.51618796
## [497,] 1.061845471 1.36452714 0.58076641
## [498,] 0.606376731 0.67567837 0.98277563
## [499,] 0.614660227 0.05101948 0.43210670
## [500,] 0.409300996 2.85502381 1.45463415
## [501,] 0.445450562 0.57252894 0.80414953
## [502,] 0.266534930 1.20453704 1.56857190
## [503,] 0.753181384 0.66756011 0.87637180
## [504,] 0.056883956 1.05254940 0.43454832
## [505,] 0.818244677 0.32285400 0.44572782
## [506,] 0.787523800 0.31188232 1.01479639
## [507,] 0.683670179 0.19053025 1.12028789
## [508,] 1.271270215 0.49404502 0.57261321
## [509,] 0.126482508 0.69289247 0.44658356
## [510,] 2.866093337 0.24162983 2.38143037
## [511,] 0.284054343 0.40689006 0.98714667
## [512,] 2.317118459 1.39186491 0.59805981
## [513,] 1.151594262 1.01322853 1.06276489
## [514,] 0.076222926 0.78677381 1.06692243
## [515,] 0.862142599 0.58251491 0.76988085
## [516,] 1.038741499 0.82128268 1.31228012
## [517,] 1.030461034 0.99352226 0.85969522
## [518,] 1.465662273 1.45492861 0.23642219
## [519,] 1.301787809 2.58550802 1.07276823
## [520,] 0.107035837 1.29252016 1.72811383
## [521,] 1.327286646 0.84717686 0.72101793
## [522,] 0.532050011 1.21374590 0.72743453
## [523,] 0.957602845 0.56080148 0.91697944
## [524,] 1.434244954 2.02651979 0.63156275
## [525,] 2.837729928 0.12157790 0.64795284
## [526,] 0.920458941 0.96707543 1.11141833
## [527,] 0.679631632 1.56244629 0.78370610
## [528,] 0.261317800 0.70069164 0.45151877
## [529,] 0.501274244 0.23948790 0.78360695
## [530,] 0.614301346 0.31618729 0.81929841
## [531,] 0.162592413 1.24147718 0.66555336
## [532,] 0.121501140 0.67575311 0.82420926
## [533,] 1.918289018 1.92173542 0.93839596
## [534,] 0.537174009 1.90630244 0.86174897
## [535,] 0.744972987 0.56076147 0.94411987
## [536,] 0.623249164 1.95849247 0.75156738
## [537,] 1.103631331 1.59328216 0.71014244
## [538,] 0.414695692 2.11810265 0.47548648
## [539,] 2.077846012 0.39972856 0.86302737
## [540,] 0.136628867 0.57114978 1.33658161
## [541,] 0.503978657 1.78774708 0.99604349
## [542,] 1.301811219 0.98459192 0.34673616
## [543,] 3.936614990 0.95972395 0.90762474
## [544,] 0.315021399 1.02237871 0.65628947
## [545,] 3.042570095 0.51185478 0.90773399
## [546,] 2.459577956 0.12531024 0.36037364
## [547,] 0.866349023 0.86663227 0.75975996
## [548,] 0.701226342 0.81273231 0.53058529
## [549,] 0.964078969 2.97787115 0.85833862
## [550,] 0.372141766 1.78823649 0.95474848
## [551,] 0.951290030 0.59151338 0.59048557
## [552,] 0.492485308 1.19415300 0.88521282
## [553,] 0.022024039 0.62821987 0.71105302
## [554,] 1.513450311 0.16255446 1.96768822
## [555,] 0.578774737 0.91945664 0.57560003
## [556,] 0.753331055 0.51298569 2.59875591
## [557,] 1.027080009 0.77673523 1.53332353
## [558,] 0.368706194 0.85294518 0.61317363
## [559,] 1.262663288 1.25518322 0.59699425
## [560,] 2.251691564 0.88578917 0.69952816
## [561,] 1.836512385 0.41857396 0.64072316
## [562,] 0.447091641 1.30298163 0.53326343
## [563,] 0.173730965 0.43693261 0.90201061
## [564,] 1.649651685 0.82141903 0.76881621
## [565,] 0.619699327 2.28966596 2.04323749
## [566,] 0.144172238 1.37269040 1.32699631
## [567,] 2.533757393 3.27004711 1.85014713
## [568,] 0.831458387 2.42524120 1.18320027
## [569,] 0.668799650 0.16423190 0.32579528
## [570,] 1.726543421 1.42519243 1.76565864
## [571,] 0.159106906 0.53620971 1.34923296
## [572,] 0.099734270 2.67689250 0.97202887
## [573,] 1.199966311 0.64899572 0.61965162
## [574,] 0.794511750 2.29385094 1.12149714
## [575,] 0.401740620 0.92594339 0.64716938
## [576,] 1.753444250 0.71300419 1.18437145
## [577,] 0.768037571 1.01282843 1.26479254
## [578,] 0.154964858 0.15640017 0.55973787
## [579,] 1.455234554 0.63173705 1.80286759
## [580,] 0.660118803 1.46064063 0.81239411
## [581,] 0.945294312 0.21126425 0.83151719
## [582,] 5.003046155 1.17228669 0.81614032
## [583,] 0.756263135 2.16884200 0.44012596
## [584,] 0.144248474 0.52046990 1.45112354
## [585,] 1.028579338 0.85994671 1.05517827
## [586,] 1.378266690 0.85210622 0.34011786
## [587,] 0.920598506 1.81095106 1.49317895
## [588,] 0.170469351 0.71310097 1.57731302
## [589,] 0.404183590 0.08046171 2.54629626
## [590,] 0.428138209 0.45313409 0.34562062
## [591,] 2.977783355 0.24629969 0.50308487
## [592,] 0.717007677 0.88723220 2.14500626
## [593,] 0.327463797 0.67433112 1.98760982
## [594,] 3.530172020 0.75282028 0.71436111
## [595,] 1.931713920 0.36990103 1.00681040
## [596,] 1.599889339 0.21730862 0.44570784
## [597,] 1.127822460 2.09862203 1.48836660
## [598,] 0.969515707 0.63047252 1.03172526
## [599,] 0.832409374 2.96184263 1.46922655
## [600,] 1.332071638 0.39985612 1.09507753
## [601,] 0.701749682 0.65305410 1.73588930
## [602,] 0.964416853 0.26354972 1.11259578
## [603,] 1.787840168 0.26142596 1.05694879
## [604,] 0.176748254 1.12076775 1.69076419
## [605,] 0.685012884 0.13409383 1.33099026
## [606,] 0.847470773 0.69624865 0.65989110
## [607,] 0.657804484 0.30579713 1.84864201
## [608,] 1.915397189 0.92831621 1.32375809
## [609,] 0.559143903 0.40187663 1.69901626
## [610,] 0.208300642 1.16415967 0.96200370
## [611,] 0.728487617 0.09669139 0.97120317
## [612,] 0.397976616 1.08384842 0.38888082
## [613,] 0.828027114 1.16820610 1.71863022
## [614,] 1.235011864 1.32477188 1.27346262
## [615,] 0.532523494 1.45477390 2.22919891
## [616,] 0.975638076 1.69969751 0.50662654
## [617,] 1.925121841 0.55259042 0.59076735
## [618,] 1.131580637 1.28997975 2.55661758
## [619,] 0.617811780 0.98558102 1.27694975
## [620,] 1.560967651 0.86890165 0.97091479
## [621,] 0.475286349 1.03905856 1.08606428
## [622,] 0.461657985 1.53149295 0.98354524
## [623,] 0.438121481 1.08794551 0.93242604
## [624,] 0.504320412 2.19623134 1.10936296
## [625,] 0.484033607 0.55166931 1.48209446
## [626,] 1.099811693 1.43905260 1.35398420
## [627,] 0.654965881 0.32238802 0.95784764
## [628,] 4.709018324 2.27971691 1.42229645
## [629,] 2.197749317 0.60053695 1.37833272
## [630,] 1.170297196 0.47899750 0.66995506
## [631,] 0.168578412 3.35173098 0.96878825
## [632,] 1.243949676 0.63579081 1.59462477
## [633,] 0.128369231 1.13704713 2.59035982
## [634,] 0.464941590 0.55665390 0.53003338
## [635,] 0.130431708 0.33050679 0.87907971
## [636,] 1.260715779 0.21110920 0.68988326
## [637,] 1.059225371 0.43896788 0.72813539
## [638,] 0.614974041 1.20583947 1.15480517
## [639,] 2.735341258 0.92491153 1.06960160
## [640,] 1.008061300 0.88499830 1.12385556
## [641,] 1.664637808 1.99305843 0.29630253
## [642,] 1.920865997 1.63701227 1.20955210
## [643,] 0.514063826 0.30971793 0.47842657
## [644,] 0.449305227 0.83755920 1.03227022
## [645,] 1.247382155 2.44565049 0.62874409
## [646,] 0.305278365 0.20841822 0.55090711
## [647,] 3.949847863 1.43300521 0.90847985
## [648,] 0.705938896 0.56796976 1.13432866
## [649,] 0.475020596 0.16221106 0.74101126
## [650,] 0.977115308 2.09986486 0.86729872
## [651,] 1.625698496 1.56353390 0.83247849
## [652,] 1.391865460 0.97025049 0.79949457
## [653,] 1.014933436 0.48437129 0.76215381
## [654,] 0.697923467 0.85080418 1.10569419
## [655,] 1.275310232 0.98059819 0.98490065
## [656,] 0.124940528 0.22332456 0.84962908
## [657,] 1.026788690 0.68306559 0.63661092
## [658,] 0.352475174 0.94707302 0.48523381
## [659,] 0.618564896 1.22941715 0.62588524
## [660,] 2.138826887 0.56270504 0.32281821
## [661,] 1.902674539 0.19891923 1.21150461
## [662,] 0.745628041 1.05648500 1.41307664
## [663,] 0.779280596 1.90704743 0.52948914
## [664,] 1.329326342 1.45959951 1.62524651
## [665,] 1.920084600 1.22340061 1.15660667
## [666,] 1.966908091 1.07897228 1.53966940
## [667,] 3.306591769 1.65925541 1.40859853
## [668,] 0.479360721 1.25862919 0.98049259
## [669,] 0.155593437 1.49653744 2.19764310
## [670,] 0.860038166 0.53648444 0.58107574
## [671,] 1.881989159 0.42871698 1.18655188
## [672,] 0.555935101 1.92174992 0.67636121
## [673,] 1.869440773 1.70903735 1.15398121
## [674,] 0.499982677 0.19578726 2.12159614
## [675,] 1.227389738 0.05598554 0.54291484
## [676,] 0.949657009 0.17749042 1.02748522
## [677,] 2.006440043 1.05242362 1.33187926
## [678,] 0.676006777 0.64710035 1.65874538
## [679,] 0.791366430 1.49501758 0.90693569
## [680,] 0.305332307 1.22650286 1.27207355
## [681,] 1.014031629 0.51249396 0.68989043
## [682,] 0.506264527 0.68155509 1.20698008
## [683,] 1.153883503 0.97637048 0.27378379
## [684,] 0.507158675 1.16556622 0.41569139
## [685,] 0.447900923 1.71990577 0.84486043
## [686,] 0.297617332 1.18345738 1.16495034
## [687,] 0.277183543 0.20632397 1.42200394
## [688,] 1.195599129 0.86706242 1.13029394
## [689,] 0.595401875 0.74300540 0.61937687
## [690,] 0.312852707 0.73159255 0.80553391
## [691,] 3.740357021 0.81742411 0.95343690
## [692,] 1.496600017 1.54057320 0.68315686
## [693,] 1.474275799 0.92127054 0.66520191
## [694,] 3.200675475 1.47700795 1.44716300
## [695,] 1.916918882 0.05937653 1.64250102
## [696,] 0.838872879 0.78238113 1.34833976
## [697,] 2.280426668 0.51391953 0.75202517
## [698,] 1.467961420 0.72344465 0.71263088
## [699,] 0.747431230 1.30578063 1.25736641
## [700,] 0.217232406 1.62734647 0.76929155
## [701,] 0.355916766 1.14767540 0.85022404
## [702,] 0.755718602 0.41802593 0.99638651
## [703,] 0.965553893 0.14456755 0.75961143
## [704,] 0.212624602 0.46056042 0.73600853
## [705,] 1.647575638 0.46123412 1.42597256
## [706,] 0.865635749 0.22125820 0.84633733
## [707,] 1.737195945 1.35241894 1.09361382
## [708,] 1.232948739 0.66277991 1.81849635
## [709,] 1.947670355 1.17366143 0.55340195
## [710,] 1.012098209 1.38877637 1.72540698
## [711,] 0.696611967 0.73774550 1.15546095
## [712,] 0.780970214 1.35079335 0.90779711
## [713,] 0.583733821 1.78627106 1.05006588
## [714,] 0.208371028 0.85275244 0.61959652
## [715,] 0.886689927 1.46355639 0.57494390
## [716,] 2.772849163 0.29517195 0.99806973
## [717,] 0.324515226 1.11099941 0.64963469
## [718,] 0.282289677 0.18173587 0.81271420
## [719,] 0.168746314 0.12666221 1.53178634
## [720,] 0.145058097 1.09485610 2.93723651
## [721,] 0.317367578 1.44664537 1.22494798
## [722,] 0.786033150 1.03925156 0.93046719
## [723,] 0.668581927 1.32488487 1.03482493
## [724,] 0.468894740 1.39228132 1.05572342
## [725,] 0.297453476 0.54931309 0.45338243
## [726,] 1.932303210 0.52424662 1.40140271
## [727,] 0.744013807 0.79209107 0.44790517
## [728,] 1.691430899 0.94627532 0.37202601
## [729,] 3.097815722 1.16895491 0.77863364
## [730,] 0.775172262 0.62997867 0.82774265
## [731,] 0.743280318 0.25809172 1.60899089
## [732,] 0.419702216 1.52707270 0.49298032
## [733,] 0.186626066 1.28042766 0.73047580
## [734,] 0.407660354 0.50688833 0.86917376
## [735,] 1.001712670 0.96251199 1.06156886
## [736,] 0.276945382 0.94747858 0.78838452
## [737,] 0.025356235 0.79704615 0.95291024
## [738,] 1.380837177 5.71004497 1.11424704
## [739,] 0.163609278 0.95859508 1.21119795
## [740,] 0.489274504 0.53691305 0.56123518
## [741,] 1.996843745 0.74809292 1.71787123
## [742,] 1.011359768 2.65042388 0.77440874
## [743,] 0.835514346 1.03380542 0.90537913
## [744,] 0.442447125 1.49950137 1.54405245
## [745,] 2.610111312 0.65742569 0.74797352
## [746,] 1.231592548 0.77973252 0.31793666
## [747,] 3.370684733 0.92637145 0.78289696
## [748,] 0.922723560 0.27871606 1.21934153
## [749,] 0.852521309 0.64532932 1.12793041
## [750,] 0.820526853 1.23395563 1.76375783
## [751,] 1.424470669 0.74070049 0.66702036
## [752,] 0.138772834 0.57910570 1.10542956
## [753,] 0.384934684 0.36784106 1.03665900
## [754,] 0.283589474 4.93222499 1.18689269
## [755,] 2.288543162 0.47348115 0.47206170
## [756,] 0.049502369 1.21960178 0.58696215
## [757,] 0.730160032 0.43310945 0.45572286
## [758,] 0.043650520 0.42753462 0.68789173
## [759,] 0.960385097 0.39202134 1.58756416
## [760,] 0.384154451 2.79351067 0.96757617
## [761,] 1.881926857 0.24100166 0.75390502
## [762,] 1.652210735 2.70616761 1.38692763
## [763,] 2.050512984 1.11692194 1.57882447
## [764,] 0.757799095 2.13425977 0.61882854
## [765,] 1.841100786 0.53625657 1.29005347
## [766,] 0.334374358 1.58101226 0.64053268
## [767,] 0.756172530 0.17490887 0.75389616
## [768,] 0.046565748 1.02659342 0.86645503
## [769,] 1.108868634 0.14546754 0.85467743
## [770,] 0.903302993 0.77225142 2.09315849
## [771,] 1.062967083 0.24692339 1.46545401
## [772,] 2.373086669 0.95744061 0.83060508
## [773,] 1.594896062 1.39494740 0.99722227
## [774,] 0.030558113 0.20016960 1.34481728
## [775,] 2.003174786 0.44382298 1.28426601
## [776,] 1.451654959 0.67239817 0.76747595
## [777,] 0.340856219 1.20534727 1.14352020
## [778,] 0.777355711 0.21739763 1.21625454
## [779,] 0.567511680 2.73517005 0.45493068
## [780,] 0.333528447 0.49448078 1.96711057
## [781,] 0.535125451 0.51915685 1.11426583
## [782,] 0.326542215 0.30754521 0.82285774
## [783,] 1.445417878 0.60759480 1.90248198
## [784,] 0.801052773 0.35174469 1.67365823
## [785,] 0.658089143 1.63315344 1.14961092
## [786,] 1.414165399 1.44770602 1.70372567
## [787,] 0.449061717 1.32510055 0.43503874
## [788,] 0.386046582 0.99466891 1.34851341
## [789,] 1.232311988 1.30484937 2.41578884
## [790,] 1.226389841 0.99037603 0.84046964
## [791,] 0.289255985 0.37850286 1.24243954
## [792,] 1.032497128 1.64106030 0.75573301
## [793,] 2.129735371 0.51377321 1.10027544
## [794,] 0.843058095 1.58317089 1.57218835
## [795,] 3.176909270 0.52462286 0.54806431
## [796,] 0.984603238 0.79644676 0.99165463
## [797,] 1.650854926 1.04112657 1.85203207
## [798,] 11.170945585 1.89295855 1.22840002
## [799,] 0.878705963 0.26216513 1.07123349
## [800,] 1.516524730 0.27327375 0.84007104
## [801,] 0.258268410 0.39623431 0.89543200
## [802,] 1.329323338 2.93780969 1.65174841
## [803,] 0.182513304 1.28763016 0.94784703
## [804,] 0.057601386 0.97423221 0.55138281
## [805,] 1.595403496 0.94803026 0.95655116
## [806,] 2.121563891 2.30601134 0.99657384
## [807,] 0.455593894 2.06969420 1.00118206
## [808,] 0.807604810 0.73073951 1.26874779
## [809,] 1.121818788 0.26713936 1.02455956
## [810,] 0.523437970 1.12967127 0.97336549
## [811,] 0.265143060 0.39259507 0.98378684
## [812,] 0.149209855 0.28620454 0.87053939
## [813,] 0.463559831 0.24605098 1.69278402
## [814,] 0.105951372 2.38723613 1.35041928
## [815,] 3.025864323 0.51326668 0.80147787
## [816,] 0.349426432 0.63052960 0.83998769
## [817,] 1.857414252 0.49619815 1.51702828
## [818,] 0.729062269 1.53958420 0.38339163
## [819,] 1.938113773 0.50848932 1.74956180
## [820,] 1.754160600 0.50658045 1.82310400
## [821,] 0.623523038 1.15492848 1.25570998
## [822,] 1.051549842 0.21117097 0.42086647
## [823,] 0.500102702 0.92926435 1.06159381
## [824,] 0.606381928 0.93231733 1.34976511
## [825,] 1.138002203 0.65237658 1.26388499
## [826,] 1.164387534 1.47673822 0.83797179
## [827,] 0.377968387 1.32458550 1.07289716
## [828,] 0.410226291 1.16074772 1.57354643
## [829,] 0.615547576 0.22501559 0.74339561
## [830,] 0.451086852 0.75513376 2.60321363
## [831,] 0.782253927 0.79549862 0.48869332
## [832,] 1.663921427 0.59678168 1.88723436
## [833,] 0.647070747 0.28587376 1.34419002
## [834,] 0.623014440 1.89762905 0.83552087
## [835,] 0.782958212 0.74737716 0.81398745
## [836,] 0.556058705 0.17894517 0.47718770
## [837,] 0.943417988 0.99494692 1.04081141
## [838,] 0.183095897 0.75225272 1.30606562
## [839,] 1.383007588 1.78162541 0.91280162
## [840,] 0.249484918 2.89981720 1.43515114
## [841,] 2.102933304 1.06169755 0.69680833
## [842,] 1.443618316 0.88598016 0.58056694
## [843,] 1.255587184 1.56952172 1.40667092
## [844,] 2.066569572 2.35091134 1.45384575
## [845,] 1.228798984 0.60693520 1.23534966
## [846,] 0.997339171 0.37854828 0.46766588
## [847,] 0.441125126 0.18943312 1.82940436
## [848,] 0.118161917 1.19510794 0.76877155
## [849,] 1.040465588 0.69033892 0.59395751
## [850,] 2.609295255 1.20614672 0.73245939
## [851,] 1.623367863 0.86939529 1.20591570
## [852,] 2.173944735 0.17009816 1.03029373
## [853,] 0.704170473 1.88658853 0.99090819
## [854,] 0.693500502 1.26752386 1.45640509
## [855,] 0.450963813 0.80225987 1.12243726
## [856,] 0.142260551 1.82889044 1.09935985
## [857,] 3.003921795 0.42016780 0.62366420
## [858,] 0.942647323 1.21366223 0.59513984
## [859,] 1.257875149 1.03100767 0.81258257
## [860,] 0.748548844 0.85936409 1.47461226
## [861,] 1.675992996 0.45820274 0.69441158
## [862,] 0.367406439 0.55115478 0.74549967
## [863,] 0.670364561 0.63091842 1.37312996
## [864,] 1.460555901 0.32531281 1.20150163
## [865,] 0.919106236 0.73478116 1.51883361
## [866,] 0.842325429 0.79529909 0.74249677
## [867,] 0.310447196 1.50732205 1.63838684
## [868,] 0.298990954 2.76126810 1.83526214
## [869,] 1.794913329 1.78259712 0.66987093
## [870,] 0.689724982 0.17874204 0.45579348
## [871,] 1.901196070 0.77235960 1.53225822
## [872,] 0.527732701 1.17824071 0.88778796
## [873,] 0.442925420 0.79869742 0.84346211
## [874,] 0.995380982 0.99099092 0.83993825
## [875,] 0.378914112 0.51640009 0.91817375
## [876,] 0.823252868 0.52022466 1.29248165
## [877,] 0.120945048 0.66275741 0.58131503
## [878,] 0.411841112 0.17431428 0.58626355
## [879,] 1.513724914 0.24755956 0.91610557
## [880,] 0.147753953 0.14243184 1.04232364
## [881,] 0.878304355 0.29769016 0.93784591
## [882,] 0.027677967 0.86817804 0.81951738
## [883,] 1.425815866 0.67410441 1.17816351
## [884,] 1.665789763 0.63672765 0.85512661
## [885,] 1.007221764 0.40117475 1.22910219
## [886,] 0.677949969 0.55130534 0.84318301
## [887,] 1.840322722 1.57003840 0.52364914
## [888,] 0.635962189 2.09415809 0.65791472
## [889,] 1.929137342 0.45062864 0.96385862
## [890,] 0.624499811 1.89599973 0.83724898
## [891,] 1.858042565 0.10588661 0.84108990
## [892,] 0.883352292 0.27368632 0.46242780
## [893,] 0.780226132 0.72353977 1.29185783
## [894,] 1.307869947 0.72490712 1.62745472
## [895,] 1.210755226 1.82459037 0.92968435
## [896,] 0.898218145 1.17422406 0.76114923
## [897,] 0.007438471 1.64333316 0.92215820
## [898,] 0.866169470 0.78085062 1.73367125
## [899,] 1.698938949 0.51124521 0.79372153
## [900,] 1.127822827 0.39024432 0.57438912
## [901,] 0.881022756 1.07993495 0.67609476
## [902,] 1.022972273 1.00256853 0.62558270
## [903,] 0.084286921 1.25026137 1.30324565
## [904,] 0.036958335 0.44340048 0.25455424
## [905,] 0.260797903 1.20004960 1.23702962
## [906,] 1.058692590 1.46757033 1.53523609
## [907,] 0.764591129 0.88944652 0.75531094
## [908,] 1.162480152 1.20667567 0.69263787
## [909,] 0.458215515 0.78125949 0.76620691
## [910,] 0.922003021 1.37689230 0.65334574
## [911,] 1.331529877 0.21773132 0.77370574
## [912,] 0.566555660 1.62357501 1.98871629
## [913,] 0.491668836 0.61765842 0.57152144
## [914,] 1.234865250 0.71626769 0.57393188
## [915,] 0.473598615 2.09697616 0.82298729
## [916,] 0.870655153 0.66275115 0.98494207
## [917,] 0.278112748 2.54287113 0.93949920
## [918,] 0.154699033 1.10052655 0.76463324
## [919,] 0.265905219 1.24565620 1.07910252
## [920,] 1.717471606 2.27388781 0.43153599
## [921,] 1.386382580 1.84208159 1.11606891
## [922,] 0.431967576 0.56932533 0.38875463
## [923,] 2.182392483 0.16706364 1.30659811
## [924,] 1.333502419 1.44582077 0.75884823
## [925,] 1.061871078 0.61364712 1.01400307
## [926,] 3.678011687 0.62635548 0.77434702
## [927,] 0.378480523 0.58261055 0.67693832
## [928,] 1.039420685 1.83395211 1.98352237
## [929,] 0.618789996 2.72887608 0.54203322
## [930,] 0.635473442 1.32447936 1.49650560
## [931,] 0.827538061 2.09985835 1.74341136
## [932,] 0.050767445 2.86388789 1.73429784
## [933,] 0.141273895 0.93472001 1.98589005
## [934,] 0.017744894 0.85323845 0.74144960
## [935,] 1.679145950 0.15046339 0.64304283
## [936,] 0.556272095 1.25756656 0.90173277
## [937,] 0.219619948 1.32101969 1.46903028
## [938,] 0.516910055 2.32166643 0.68534330
## [939,] 0.275875056 3.06143191 1.34071469
## [940,] 0.737519893 1.73298313 0.77956805
## [941,] 0.209008966 0.57483574 0.90072566
## [942,] 0.769670353 0.61084043 0.24740236
## [943,] 2.008553980 0.40199278 1.32725729
## [944,] 0.931037659 0.42079895 0.56819227
## [945,] 2.632764690 0.71614452 1.60922796
## [946,] 2.371076040 1.40356668 0.93940332
## [947,] 0.495901631 1.12294966 1.12950279
## [948,] 0.141551179 0.47784288 1.34088600
## [949,] 0.127202007 0.57932731 1.09863445
## [950,] 0.818910512 0.63790767 0.88529696
## [951,] 1.756419178 1.10713604 1.00014192
## [952,] 0.463833292 0.16560256 1.82556936
## [953,] 1.567558887 0.44287596 1.16878051
## [954,] 0.385403733 2.11424772 0.50376915
## [955,] 0.279951452 0.99922527 0.63781919
## [956,] 0.540402370 0.20437283 1.23381981
## [957,] 1.277233752 1.63324318 0.97358940
## [958,] 0.483353720 0.35724362 0.29994531
## [959,] 0.131023336 0.06208534 0.49046083
## [960,] 0.514041824 1.01847330 0.37744348
## [961,] 0.271756172 0.73239995 0.72149849
## [962,] 1.350012965 0.33080262 1.28018539
## [963,] 0.737052632 0.81543028 0.37713839
## [964,] 0.898137140 0.06493967 1.41363272
## [965,] 2.348340850 1.06327503 0.59507107
## [966,] 0.139901074 0.65335761 1.22947000
## [967,] 1.213615780 2.48336534 0.38178302
## [968,] 1.594437299 1.21135829 0.89777491
## [969,] 0.388458019 2.20516138 0.97447869
## [970,] 0.086263024 1.98678391 0.89421390
## [971,] 1.250995835 1.42321079 0.83645421
## [972,] 0.256133110 0.42660570 1.19645805
## [973,] 0.388354047 0.39292223 2.43511241
## [974,] 2.317219742 0.14820125 1.38416522
## [975,] 0.491154606 1.00041642 2.16631116
## [976,] 0.700519512 2.63409343 1.46245290
## [977,] 3.016448577 0.46163430 1.20294292
## [978,] 2.713907436 0.91351015 0.87404436
## [979,] 0.876626653 1.26335235 1.31105373
## [980,] 0.232083818 0.57792505 1.47881699
## [981,] 0.277839759 0.32250169 0.35458890
## [982,] 1.250153252 1.68202702 1.23264838
## [983,] 3.873384420 2.18842655 1.48171587
## [984,] 1.039210873 0.66826232 1.35530216
## [985,] 0.357110762 0.68016697 1.40138745
## [986,] 1.792312670 0.27043853 0.27858328
## [987,] 0.088105764 0.51976006 0.69470354
## [988,] 0.799249137 0.48325513 0.97732402
## [989,] 0.279467523 3.26095855 1.05203511
## [990,] 0.935633055 0.60823068 1.06798285
## [991,] 0.147144647 0.76208208 0.65759536
## [992,] 0.261420480 0.69270559 0.74483422
## [993,] 0.212130536 0.47320132 1.16373244
## [994,] 0.356467556 0.26220324 0.58373434
## [995,] 0.467057139 4.45555577 2.25644452
## [996,] 0.766733482 1.39309206 1.12123875
## [997,] 0.236281929 1.24556599 0.61557640
## [998,] 0.375843517 0.72085076 0.70783726
## [999,] 0.921955568 1.00056848 0.68048800
## [1000,] 0.617887873 0.49527801 0.95365371
##
## $bootSSE
## [,1]
## [1,] 4222420
## [2,] 3678673
## [3,] 3784213
## [4,] 3735532
## [5,] 4217832
## [6,] 3350623
## [7,] 3735083
## [8,] 4200316
## [9,] 3870113
## [10,] 3759897
## [11,] 3902817
## [12,] 3787884
## [13,] 3800639
## [14,] 3902969
## [15,] 3797360
## [16,] 3844595
## [17,] 4027740
## [18,] 3553409
## [19,] 3975424
## [20,] 4076496
## [21,] 3653848
## [22,] 4057088
## [23,] 4010727
## [24,] 3971380
## [25,] 3883348
## [26,] 3659698
## [27,] 4065056
## [28,] 4084603
## [29,] 3507778
## [30,] 3847275
## [31,] 3806299
## [32,] 3867284
## [33,] 4040283
## [34,] 3776383
## [35,] 3919741
## [36,] 3704034
## [37,] 4169380
## [38,] 4018742
## [39,] 3998357
## [40,] 3960202
## [41,] 3787784
## [42,] 3772669
## [43,] 4013893
## [44,] 4078258
## [45,] 3979465
## [46,] 3724504
## [47,] 3961053
## [48,] 4081080
## [49,] 3895866
## [50,] 4097366
## [51,] 4032710
## [52,] 4063599
## [53,] 4297203
## [54,] 4043306
## [55,] 3753416
## [56,] 3928976
## [57,] 3851069
## [58,] 3940548
## [59,] 4055119
## [60,] 3652216
## [61,] 3893900
## [62,] 4216834
## [63,] 4212497
## [64,] 3889129
## [65,] 3963222
## [66,] 3732049
## [67,] 3769381
## [68,] 3667348
## [69,] 3743071
## [70,] 4072467
## [71,] 4038897
## [72,] 4027306
## [73,] 4187429
## [74,] 4016773
## [75,] 3904681
## [76,] 4235965
## [77,] 3819806
## [78,] 3807382
## [79,] 4163066
## [80,] 4073364
## [81,] 3979587
## [82,] 3859985
## [83,] 4129859
## [84,] 3796960
## [85,] 3795307
## [86,] 3887729
## [87,] 3889920
## [88,] 3599797
## [89,] 4116872
## [90,] 3907459
## [91,] 3969960
## [92,] 3739318
## [93,] 4001665
## [94,] 4217435
## [95,] 3734320
## [96,] 3867142
## [97,] 4093148
## [98,] 3926529
## [99,] 4265477
## [100,] 4004859
## [101,] 3744788
## [102,] 4120232
## [103,] 3844446
## [104,] 3714022
## [105,] 3865535
## [106,] 4143807
## [107,] 3929272
## [108,] 3893399
## [109,] 3583568
## [110,] 4312251
## [111,] 3813230
## [112,] 3890981
## [113,] 4094465
## [114,] 3591630
## [115,] 4044358
## [116,] 4361958
## [117,] 3992013
## [118,] 4188763
## [119,] 4144399
## [120,] 3872552
## [121,] 3660005
## [122,] 4079345
## [123,] 3840440
## [124,] 4150680
## [125,] 3662267
## [126,] 4040795
## [127,] 3966767
## [128,] 4302969
## [129,] 4042736
## [130,] 4207466
## [131,] 3892447
## [132,] 3965960
## [133,] 4012811
## [134,] 3915142
## [135,] 3933185
## [136,] 4155423
## [137,] 3857216
## [138,] 4158648
## [139,] 4117381
## [140,] 3556016
## [141,] 4089627
## [142,] 4158805
## [143,] 3991391
## [144,] 4078108
## [145,] 4396258
## [146,] 3961791
## [147,] 3917787
## [148,] 3868424
## [149,] 3976397
## [150,] 4220943
## [151,] 3822372
## [152,] 3876158
## [153,] 4020543
## [154,] 3764014
## [155,] 4089031
## [156,] 3723571
## [157,] 3598853
## [158,] 3946515
## [159,] 3851489
## [160,] 3973448
## [161,] 4059623
## [162,] 3974284
## [163,] 4271651
## [164,] 4177605
## [165,] 3980335
## [166,] 4038006
## [167,] 3575721
## [168,] 4030107
## [169,] 4060886
## [170,] 4098149
## [171,] 4114128
## [172,] 3809237
## [173,] 3839803
## [174,] 3841435
## [175,] 3976325
## [176,] 4320836
## [177,] 3751617
## [178,] 3830729
## [179,] 4120182
## [180,] 3978636
## [181,] 3795312
## [182,] 3851406
## [183,] 3989916
## [184,] 4019664
## [185,] 3877511
## [186,] 3887604
## [187,] 3949037
## [188,] 3770353
## [189,] 4511150
## [190,] 4198461
## [191,] 4089112
## [192,] 3751319
## [193,] 3930984
## [194,] 3878430
## [195,] 3968094
## [196,] 3673874
## [197,] 4135671
## [198,] 4156339
## [199,] 4267906
## [200,] 3959246
## [201,] 3889617
## [202,] 3884450
## [203,] 3845869
## [204,] 3851266
## [205,] 3988698
## [206,] 4015498
## [207,] 3949992
## [208,] 3878845
## [209,] 4073176
## [210,] 3680774
## [211,] 4021270
## [212,] 4068575
## [213,] 3879585
## [214,] 4191033
## [215,] 3847281
## [216,] 4108068
## [217,] 4135203
## [218,] 3762257
## [219,] 3823685
## [220,] 3973630
## [221,] 3847229
## [222,] 3984998
## [223,] 3836695
## [224,] 3844401
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## [996,] 3868038
## [997,] 4195261
## [998,] 4064781
## [999,] 3982177
## [1000,] 3754087
##
## $bootSSTr
## [,1] [,2] [,3]
## [1,] 17626.05828 2384.3624 8283.345
## [2,] 7119.36661 7394.0576 14614.598
## [3,] 559.62619 367.7101 21582.547
## [4,] 2787.62966 8492.5678 14646.603
## [5,] 2386.13209 6163.0777 23189.840
## [6,] 1063.19765 5414.2442 7293.672
## [7,] 481.98295 5312.0551 23882.752
## [8,] 3466.72335 3945.3445 19967.044
## [9,] 19393.89730 18676.4853 20200.815
## [10,] 5387.89865 537.0867 7147.188
## [11,] 3705.85180 1025.8945 9070.611
## [12,] 6402.43971 4984.2336 7271.423
## [13,] 3004.98402 2965.7963 11428.126
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## [382,] 1438.00433 429.4093 23719.737
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## [398,] 4261.00218 5050.9414 48416.155
## [399,] 2121.17254 9690.2598 23301.510
## [400,] 3828.02918 7777.7465 15645.632
## [401,] 4707.16638 15589.9701 17039.438
## [402,] 5655.99617 5747.7352 6221.347
## [403,] 15265.75478 5196.4262 9964.455
## [404,] 5195.00726 506.6878 21049.090
## [405,] 3792.97047 2140.5870 18100.941
## [406,] 3268.84931 3653.6913 18075.917
## [407,] 3240.75070 2004.5737 31749.869
## [408,] 1645.28818 4531.8177 16914.456
## [409,] 6130.22314 5023.7172 36419.654
## [410,] 4215.66510 8276.4296 17619.935
## [411,] 699.22683 9508.7908 7504.852
## [412,] 409.11432 8145.4308 4227.391
## [413,] 1756.22518 4656.8465 18843.251
## [414,] 8249.86224 9507.5678 8241.129
## [415,] 6080.53006 4678.7991 19285.660
## [416,] 6889.15714 4493.9486 14130.118
## [417,] 2265.68295 3946.4197 32995.531
## [418,] 4078.63839 6352.2031 4110.007
## [419,] 5547.76658 5826.6947 13168.214
## [420,] 9062.50344 3681.0922 8731.100
## [421,] 2975.81375 3408.6733 24170.526
## [422,] 5539.01239 2731.3201 7981.268
## [423,] 3688.69910 10314.8396 15979.441
## [424,] 7133.96339 5881.2303 11630.597
## [425,] 2371.48459 1149.0778 8326.760
## [426,] 9298.03072 1691.3061 21773.841
## [427,] 735.62300 1436.6286 7370.441
## [428,] 7765.92181 3513.8842 14185.799
## [429,] 6736.32156 4661.9354 12735.217
## [430,] 4615.56101 5728.8143 7778.614
## [431,] 10745.93510 17675.3767 14024.784
## [432,] 12276.76175 4040.0918 18589.896
## [433,] 466.50170 3321.9171 7588.529
## [434,] 1835.89286 6313.7790 9815.617
## [435,] 5096.62210 3070.4546 14973.961
## [436,] 1767.17520 2657.9522 8746.787
## [437,] 5397.65947 3106.9409 4984.760
## [438,] 1667.05202 6739.6613 29174.260
## [439,] 6112.74984 712.8459 11243.473
## [440,] 14893.47390 4311.0003 15509.571
## [441,] 5341.24466 2849.7095 14819.651
## [442,] 1069.72047 4057.9447 20683.977
## [443,] 5283.74170 2606.3729 11104.590
## [444,] 1464.40968 2613.2023 17870.964
## [445,] 2145.06549 1172.1263 7212.049
## [446,] 7107.53781 7375.7557 22654.672
## [447,] 111.44555 6489.8196 28879.911
## [448,] 3852.77320 8034.4285 20202.797
## [449,] 2323.07092 1184.8985 18651.264
## [450,] 10606.29953 8034.0938 14191.314
## [451,] 3713.28868 1663.9936 18120.338
## [452,] 8700.64826 6921.6373 17543.122
## [453,] 11968.68779 14117.2113 19751.355
## [454,] 13537.10837 5350.3188 24998.784
## [455,] 571.71893 2937.0051 17815.858
## [456,] 2983.79708 9304.1068 13548.876
## [457,] 1494.57200 438.8626 35793.276
## [458,] 2304.85257 1541.8755 37634.589
## [459,] 2005.77240 7731.7539 11996.177
## [460,] 15778.69758 11500.5932 16314.393
## [461,] 3679.23769 8277.0660 10480.973
## [462,] 4479.90687 4058.5070 11876.297
## [463,] 4422.31502 907.5214 15645.322
## [464,] 1067.87661 5965.7710 12000.735
## [465,] 10283.67218 2652.7650 11381.422
## [466,] 3393.57372 2101.9630 8312.548
## [467,] 7131.26742 3798.6800 1019.451
## [468,] 231.79563 2691.2364 6490.750
## [469,] 1062.95822 1120.3410 6263.946
## [470,] 7574.23599 3217.3994 22148.208
## [471,] 2673.41155 9385.5760 11979.423
## [472,] 7970.53390 3320.3609 15978.583
## [473,] 5577.03718 3162.1352 16678.262
## [474,] 2835.24532 6035.0247 31448.370
## [475,] 5709.79289 7069.1944 22762.681
## [476,] 3429.79131 19569.2875 18451.202
## [477,] 4453.45849 9576.0308 14276.834
## [478,] 10856.66594 3432.2041 25231.231
## [479,] 1323.07399 2494.3660 10106.951
## [480,] 7136.30266 4706.1757 19106.695
## [481,] 4359.98616 6779.9254 9665.523
## [482,] 4846.12043 3258.1427 11809.603
## [483,] 8305.15184 2131.2127 8674.430
## [484,] 5468.11086 7346.4972 14970.779
## [485,] 3723.99437 8516.7951 28998.267
## [486,] 2328.16248 6034.6625 20749.650
## [487,] 1382.51751 5932.1877 11240.111
## [488,] 1418.10528 1725.7852 23166.303
## [489,] 2022.21648 3663.8779 13895.181
## [490,] 7363.13995 443.8979 23285.655
## [491,] 8991.61609 3646.6025 22238.460
## [492,] 17291.58154 1568.4995 21754.497
## [493,] 9854.66272 4591.4688 27076.393
## [494,] 900.34159 4270.7774 16030.812
## [495,] 13406.35352 3714.7001 11073.699
## [496,] 7302.62146 4685.8219 8947.336
## [497,] 5018.37627 7233.0787 8809.890
## [498,] 3188.73217 3523.1802 16813.760
## [499,] 3304.05854 267.2679 6810.980
## [500,] 2285.21310 14519.9926 21548.355
## [501,] 2307.97307 3228.1200 12645.346
## [502,] 1436.15665 5715.0963 24042.075
## [503,] 4066.60264 3920.6507 13007.247
## [504,] 312.55820 5293.1760 7277.810
## [505,] 4068.50819 1764.3347 7417.146
## [506,] 3898.84230 1616.4692 15668.932
## [507,] 3295.28777 1026.8917 17314.470
## [508,] 6418.54739 2873.9302 9052.611
## [509,] 729.90323 3868.1969 7764.519
## [510,] 15978.31418 1246.7682 37406.192
## [511,] 1425.65036 2132.2911 16060.964
## [512,] 11841.53584 6684.9634 9118.010
## [513,] 6189.49831 5176.8089 17406.909
## [514,] 382.93578 4542.3164 18860.447
## [515,] 4563.54781 3178.5245 11453.882
## [516,] 5315.94238 3946.1418 21493.123
## [517,] 5426.59081 5179.5210 13489.714
## [518,] 7261.96095 7883.0469 3540.158
## [519,] 6130.98665 13621.2666 16799.104
## [520,] 545.39380 6899.3152 26316.367
## [521,] 6087.07030 4395.6304 11892.896
## [522,] 2767.47157 6660.8444 11741.394
## [523,] 4591.76747 2850.0988 14623.996
## [524,] 6637.53237 11903.3034 10313.482
## [525,] 15315.41922 629.7864 10079.421
## [526,] 4523.15003 5416.3073 17998.745
## [527,] 3411.79310 8049.2993 11606.000
## [528,] 1435.24422 3649.5935 7233.851
## [529,] 2342.38500 1280.1375 12198.554
## [530,] 3090.86253 1684.8010 13703.527
## [531,] 863.97999 7098.0851 9990.867
## [532,] 595.47434 3405.6157 13344.042
## [533,] 9695.52235 10022.0722 16518.394
## [534,] 2754.97243 9303.0701 14658.489
## [535,] 3679.09894 2876.8941 15555.451
## [536,] 3325.49755 10550.5792 13017.786
## [537,] 5711.29674 8925.9241 11791.273
## [538,] 2077.92855 11880.6614 7400.669
## [539,] 11219.26867 2061.0160 13472.616
## [540,] 704.06604 2769.5732 21191.813
## [541,] 2628.42780 9477.7225 15924.495
## [542,] 6931.68055 4732.5427 5368.686
## [543,] 18260.79962 5007.6638 14269.884
## [544,] 1635.42633 5817.1036 10699.947
## [545,] 15367.27796 2902.5761 15332.119
## [546,] 12106.57689 623.7435 5950.750
## [547,] 4312.41347 4755.6439 12167.234
## [548,] 3585.66686 4482.4289 8428.881
## [549,] 4769.58462 16777.1722 13055.627
## [550,] 1766.64443 9398.1049 15293.422
## [551,] 5189.83584 3171.5031 8948.230
## [552,] 2497.53669 6286.0198 13893.648
## [553,] 121.34411 3449.0631 11948.855
## [554,] 7859.94845 815.1173 29610.454
## [555,] 2868.48970 4644.1654 8631.485
## [556,] 3585.99827 2807.9440 40258.409
## [557,] 4967.39634 4298.1975 24998.047
## [558,] 1935.85666 4427.9575 10105.838
## [559,] 6665.61614 6240.7154 9630.477
## [560,] 11287.34858 4545.1436 11038.409
## [561,] 9435.98461 2107.1339 9772.444
## [562,] 2110.51922 6579.5917 9034.593
## [563,] 828.72318 2195.5331 14389.451
## [564,] 9111.93565 3897.2327 12271.115
## [565,] 2997.85090 12037.9613 30446.045
## [566,] 789.63224 6924.3383 20254.375
## [567,] 12272.77121 16542.0475 31275.034
## [568,] 4538.46885 13526.6292 20151.537
## [569,] 3231.90320 887.1965 5046.671
## [570,] 9248.64970 7414.7570 25912.991
## [571,] 802.61468 2811.7065 19898.827
## [572,] 548.48562 13964.4573 14104.052
## [573,] 6165.57136 3192.0342 10345.817
## [574,] 4002.45620 12972.4702 18017.851
## [575,] 2301.11221 5253.4041 10089.954
## [576,] 9504.76802 4125.2282 18580.431
## [577,] 3608.78400 4619.1639 20028.433
## [578,] 789.14040 828.4809 8877.559
## [579,] 7412.94398 3072.1708 29139.539
## [580,] 3263.85799 7410.8939 13029.118
## [581,] 4826.56264 1155.8410 13208.717
## [582,] 24201.57224 6274.9685 12305.267
## [583,] 3921.44324 12031.6949 6877.217
## [584,] 709.50085 2725.3900 23001.016
## [585,] 5054.30946 4444.6516 14926.898
## [586,] 7119.09473 4719.9227 5046.948
## [587,] 4934.27901 9290.8966 25763.794
## [588,] 870.53763 3547.2011 25778.901
## [589,] 2081.36784 383.3586 38392.872
## [590,] 2131.41160 2260.6405 5140.124
## [591,] 16281.75898 1228.0805 8662.064
## [592,] 3791.90123 5148.9031 33542.938
## [593,] 1626.46339 4027.1308 33647.571
## [594,] 19454.50172 3989.8417 11999.520
## [595,] 9673.60137 2158.7995 17278.860
## [596,] 8849.77966 1098.7364 7140.107
## [597,] 5749.71183 10403.4228 23496.827
## [598,] 4588.28593 3423.6711 15423.991
## [599,] 4237.20485 15845.4181 22932.089
## [600,] 6449.44391 2295.5083 17084.797
## [601,] 3629.66692 3307.2813 26180.326
## [602,] 4662.36293 1406.9285 17588.241
## [603,] 9175.07593 1424.7816 15991.381
## [604,] 898.63062 5675.0999 25957.665
## [605,] 3534.39260 698.6843 21683.630
## [606,] 4202.23216 3855.1511 10604.846
## [607,] 3721.18229 1708.5109 28737.826
## [608,] 10197.36040 4859.0551 21001.188
## [609,] 2829.16397 2299.5673 26604.059
## [610,] 1081.24948 6170.7898 14447.721
## [611,] 4014.58817 510.6693 14181.503
## [612,] 2001.36901 6017.5696 6301.241
## [613,] 4389.47716 6019.8019 28284.131
## [614,] 6473.29914 6986.9618 20315.943
## [615,] 2807.29515 7332.2508 32678.664
## [616,] 4796.56633 9805.4896 8535.502
## [617,] 10046.02463 3049.8461 9327.680
## [618,] 5759.51417 6500.8641 39048.614
## [619,] 3001.30477 5132.3350 19656.990
## [620,] 7519.22497 4651.2688 16007.540
## [621,] 2467.29064 5292.7004 17298.560
## [622,] 2518.25003 9000.8960 15767.167
## [623,] 2317.40873 5749.9513 14574.352
## [624,] 2668.68573 11402.3967 17179.394
## [625,] 2431.15720 3123.3732 23968.783
## [626,] 5817.10612 8166.1981 20606.325
## [627,] 3203.90047 1802.6301 16758.098
## [628,] 24353.78183 12774.7794 21659.133
## [629,] 10991.98491 3413.6495 21373.488
## [630,] 6147.06165 2677.5955 11305.888
## [631,] 851.14701 19028.3681 14751.153
## [632,] 6168.38482 3391.3762 26787.951
## [633,] 637.65216 5880.7199 40909.610
## [634,] 2445.09862 2675.3252 8449.834
## [635,] 651.94669 1771.5864 13800.740
## [636,] 6937.35796 1130.6763 11695.143
## [637,] 5634.26437 2382.4593 10937.396
## [638,] 3092.73609 6417.1448 18574.261
## [639,] 13504.21418 4528.9749 17402.073
## [640,] 5185.24412 4676.0440 17946.368
## [641,] 8308.40069 10781.1161 4689.031
## [642,] 10562.96695 8543.6780 19511.277
## [643,] 2844.05815 1705.5112 7726.374
## [644,] 2312.83864 4704.7926 15922.335
## [645,] 6402.50567 12342.5299 10308.082
## [646,] 1572.36147 1153.3108 9445.510
## [647,] 20268.98643 7896.4780 13863.921
## [648,] 3680.57190 3134.9266 18414.435
## [649,] 2324.53523 870.3432 11418.399
## [650,] 4885.85322 11125.2805 13331.262
## [651,] 7968.01658 9146.4937 13257.778
## [652,] 7428.88549 4681.8776 12079.494
## [653,] 4843.08600 2509.4557 12593.632
## [654,] 3701.21071 4593.1563 16821.961
## [655,] 6484.66718 4984.4766 17135.852
## [656,] 612.53116 1140.0719 13998.258
## [657,] 5278.84956 3584.4278 10608.859
## [658,] 1896.76848 5134.2218 7248.969
## [659,] 3546.51803 6364.5631 10824.309
## [660,] 10562.43091 3112.7573 4968.269
## [661,] 10235.66726 1017.4539 18657.215
## [662,] 3646.90354 5853.5288 22685.658
## [663,] 3756.36787 11053.3913 8485.038
## [664,] 7011.08666 7855.4651 24739.966
## [665,] 11989.83202 6137.4555 18336.174
## [666,] 9558.74777 5493.2272 22606.152
## [667,] 16031.80263 8661.9567 21580.600
## [668,] 2397.29214 6829.7209 15492.875
## [669,] 808.96534 8303.3111 36274.506
## [670,] 4065.83414 2845.8457 9449.988
## [671,] 10873.89533 2122.3136 19161.763
## [672,] 2851.35040 9741.1061 11230.792
## [673,] 9319.72740 9044.0204 17068.960
## [674,] 2523.51195 1073.8779 35741.866
## [675,] 6319.33493 290.3734 8533.309
## [676,] 4864.72891 980.8309 16218.075
## [677,] 11110.91045 5691.7224 20426.390
## [678,] 3636.78437 3185.1428 25335.830
## [679,] 3879.37954 8308.3077 14200.546
## [680,] 1543.01162 5900.7583 20839.931
## [681,] 5573.06312 2618.8919 11816.742
## [682,] 2651.15170 3539.3747 17546.404
## [683,] 6295.17685 5128.9937 4671.560
## [684,] 2440.52665 5684.7314 6165.635
## [685,] 2428.75092 9390.0838 13303.523
## [686,] 1472.56254 6551.2091 17268.267
## [687,] 1405.03117 1160.1797 23067.002
## [688,] 6831.53762 4397.3146 18850.916
## [689,] 3059.46062 4056.0146 10087.118
## [690,] 1605.85826 3991.8306 13528.783
## [691,] 20203.65083 4536.5414 13836.627
## [692,] 7714.74159 8076.9405 10844.057
## [693,] 7802.34613 4577.3550 10103.410
## [694,] 16600.22711 7582.3116 22103.153
## [695,] 10111.26856 306.9426 25522.095
## [696,] 3961.67859 4151.3510 20216.049
## [697,] 12264.77807 2801.4376 11940.044
## [698,] 7905.56016 3562.0285 11330.021
## [699,] 4153.14817 7141.7233 19503.429
## [700,] 1077.14336 9003.3161 12150.703
## [701,] 1819.43040 6686.1683 12923.954
## [702,] 3941.52393 2184.6868 15114.067
## [703,] 4691.65563 804.1668 12021.656
## [704,] 1096.89464 2460.6276 11093.535
## [705,] 8324.24360 2409.0764 22741.256
## [706,] 4601.69723 1230.2686 13857.615
## [707,] 9142.16500 7378.9352 18573.406
## [708,] 6736.04669 3344.2616 27270.513
## [709,] 9383.43091 6152.4704 10109.052
## [710,] 5063.84419 7584.1873 26634.263
## [711,] 3607.60075 4034.1808 18094.827
## [712,] 4111.46833 7258.8968 15254.053
## [713,] 2837.60055 9889.8547 15474.092
## [714,] 1156.27487 4478.0237 9642.181
## [715,] 4458.57988 7453.5559 9445.481
## [716,] 13880.29286 1521.9750 13852.863
## [717,] 1714.53695 5955.9068 9654.772
## [718,] 1440.26426 1007.2807 13414.959
## [719,] 842.58482 695.3914 24643.050
## [720,] 765.74388 6299.6513 43236.706
## [721,] 1815.57955 7804.0262 19223.485
## [722,] 3873.24030 5950.2506 15009.900
## [723,] 3545.37548 7120.6467 15920.178
## [724,] 2548.59723 7451.8370 15916.176
## [725,] 1481.87637 2840.5996 7139.299
## [726,] 10619.01920 2731.3496 20001.608
## [727,] 3763.66562 4401.7131 6843.709
## [728,] 8167.08287 4599.7868 5693.733
## [729,] 16498.18331 6451.0665 12492.239
## [730,] 4114.59240 3793.5182 12784.919
## [731,] 3739.07854 1466.3654 27579.764
## [732,] 2165.45527 8376.2525 7710.277
## [733,] 955.51034 7260.2875 11857.223
## [734,] 2374.33211 2845.5651 13041.084
## [735,] 5276.88888 4945.7504 15689.324
## [736,] 1502.94452 5121.8929 11196.851
## [737,] 122.90835 4272.1816 14131.695
## [738,] 7143.31744 29853.2337 17833.387
## [739,] 840.30084 5010.3855 19333.441
## [740,] 2674.20075 2808.0817 8675.627
## [741,] 10439.06698 3928.2629 26786.747
## [742,] 5277.31104 13808.7213 12091.605
## [743,] 4127.75690 5067.5670 14912.204
## [744,] 2474.12121 7997.1597 23030.915
## [745,] 12599.76282 3451.1002 11983.819
## [746,] 6443.83372 3895.4638 5238.980
## [747,] 16177.41495 4684.0413 13296.021
## [748,] 4469.01734 1482.4588 18650.649
## [749,] 4613.35201 3140.3356 17503.833
## [750,] 4289.87878 6787.4048 27183.337
## [751,] 7427.60049 4115.8440 10257.895
## [752,] 801.99126 3300.7721 16155.216
## [753,] 1999.00085 2004.6736 16862.952
## [754,] 1627.85807 27023.0448 18295.111
## [755,] 11471.11397 2245.8406 7203.172
## [756,] 271.83680 6482.8150 8932.350
## [757,] 3499.90235 2319.7693 6715.354
## [758,] 227.09902 2188.0261 10906.877
## [759,] 4836.47604 2192.1257 25925.349
## [760,] 2010.37442 13774.6395 14872.572
## [761,] 9718.72079 1178.6602 11687.856
## [762,] 8248.48583 13824.8530 23886.709
## [763,] 10869.45505 5902.6248 26599.270
## [764,] 3935.32472 11531.7711 8975.353
## [765,] 9928.62314 2768.8960 18943.000
## [766,] 1837.40073 8694.0255 9805.305
## [767,] 4262.88047 968.3469 11487.199
## [768,] 242.71232 5409.1260 13939.598
## [769,] 5653.60743 763.8890 12793.097
## [770,] 4784.79523 4024.8952 31517.818
## [771,] 5694.54587 1184.1810 22586.676
## [772,] 11881.12285 4754.9185 13988.622
## [773,] 8213.62086 7398.9874 15675.954
## [774,] 158.46957 1132.5700 19839.457
## [775,] 9903.92273 2365.0872 20757.445
## [776,] 7418.71950 3730.2398 12311.342
## [777,] 1684.34654 6580.1843 16833.414
## [778,] 4011.64062 1195.1787 19359.145
## [779,] 2843.25351 14206.8620 7087.217
## [780,] 1707.70026 2654.1838 31692.672
## [781,] 2814.80857 2760.3396 16939.050
## [782,] 1683.27866 1628.4273 13724.465
## [783,] 7579.75253 3535.0639 28026.087
## [784,] 4006.76167 1867.2548 27400.416
## [785,] 3748.74635 8057.6940 16817.149
## [786,] 7438.09479 7601.2171 28358.923
## [787,] 2472.60284 7018.4935 7334.931
## [788,] 2001.30738 5536.0291 22761.737
## [789,] 5805.89437 7493.6953 39277.013
## [790,] 6379.95906 5193.1239 13585.644
## [791,] 1429.20421 2177.9938 18730.983
## [792,] 5038.23317 9147.2771 12479.668
## [793,] 10779.57868 2791.8942 16523.733
## [794,] 4801.00334 8665.0702 23446.241
## [795,] 16431.83738 2903.0676 8566.454
## [796,] 4922.88726 3979.3392 16776.317
## [797,] 8680.43110 5721.6666 28063.037
## [798,] 58902.57487 9575.2956 18781.370
## [799,] 4568.97256 1500.5576 17688.666
## [800,] 7201.11895 1480.9635 13640.272
## [801,] 1412.10205 2138.8749 14553.061
## [802,] 6724.79643 16985.8113 25532.112
## [803,] 961.90871 6446.4171 15873.450
## [804,] 298.56477 5247.8936 9800.490
## [805,] 8743.17836 5066.7657 15259.509
## [806,] 11956.36190 12028.5415 15265.984
## [807,] 2265.36575 10709.4349 16087.246
## [808,] 4248.01016 3592.3026 18215.638
## [809,] 5675.02536 1365.6934 16299.852
## [810,] 2524.20344 6404.5474 16241.405
## [811,] 1342.26364 2156.6354 16091.938
## [812,] 747.98915 1622.5976 14326.065
## [813,] 2279.91086 1250.1416 27815.746
## [814,] 559.95682 12871.0228 22557.976
## [815,] 15359.84439 2886.2112 12611.445
## [816,] 1859.67770 3388.6582 13585.381
## [817,] 9341.57616 2634.3872 24330.443
## [818,] 3899.75895 7975.1088 6092.145
## [819,] 10695.89221 2416.7787 26609.289
## [820,] 9504.08047 2827.2850 30665.250
## [821,] 3023.74593 6319.5309 20055.010
## [822,] 5429.83729 1004.3174 7065.232
## [823,] 2757.40724 5181.5581 17389.285
## [824,] 3188.17548 5182.6920 21895.959
## [825,] 6388.25216 3387.6526 19709.672
## [826,] 5899.79934 7724.4834 12912.086
## [827,] 2196.97041 7021.3596 17276.844
## [828,] 2262.22026 6124.5427 23441.409
## [829,] 2972.51538 1127.5638 13600.999
## [830,] 2219.81444 4085.9255 39243.156
## [831,] 4079.08792 4928.4187 7647.420
## [832,] 8336.85830 3211.0851 31579.886
## [833,] 3067.22183 1517.2377 20463.441
## [834,] 3279.86103 9860.5535 12740.013
## [835,] 4188.16609 3624.7837 13109.396
## [836,] 2956.39756 951.7944 8174.520
## [837,] 4792.39186 5131.2022 17666.956
## [838,] 893.56374 4142.5311 19910.933
## [839,] 7184.66555 8911.1296 14780.863
## [840,] 1218.98830 15763.4130 20428.651
## [841,] 10144.25532 6262.0289 11611.959
## [842,] 7084.85003 4502.0423 8748.898
## [843,] 6148.10294 8571.0482 22760.589
## [844,] 10499.96767 13128.1119 22643.412
## [845,] 6551.32171 3213.7765 18879.326
## [846,] 5022.38920 2007.9441 6964.782
## [847,] 2278.80448 1069.6979 27649.536
## [848,] 610.24937 6273.9538 11314.377
## [849,] 5671.58018 3585.8303 9770.598
## [850,] 12773.28380 6005.5016 11558.499
## [851,] 7923.79832 4325.6616 19345.215
## [852,] 11203.73535 859.8126 16633.676
## [853,] 3727.51292 9985.0799 16309.305
## [854,] 3475.95162 6334.2397 25466.436
## [855,] 2326.44259 4044.4827 18474.651
## [856,] 736.59764 9563.1262 16431.342
## [857,] 13653.02272 2241.1244 10132.848
## [858,] 5050.33047 6675.6612 8730.551
## [859,] 6739.12463 5757.4999 13152.732
## [860,] 3934.13845 4239.1639 23356.180
## [861,] 8644.42776 2271.1581 10169.593
## [862,] 1695.03950 2691.7876 12416.956
## [863,] 3475.09247 3288.6024 21033.459
## [864,] 7053.25730 1674.3900 17194.527
## [865,] 4470.96276 3603.0833 22624.552
## [866,] 4554.93379 4070.8229 11740.485
## [867,] 1409.53600 7768.7834 26756.077
## [868,] 1558.84006 14239.5005 29171.430
## [869,] 9005.35498 8732.8271 10660.077
## [870,] 3580.40453 997.6970 6943.971
## [871,] 8895.05378 4392.3860 21642.293
## [872,] 2654.30302 6554.1207 13596.538
## [873,] 2158.63800 3716.9441 13458.526
## [874,] 4769.46284 5247.3177 13081.139
## [875,] 1825.00810 2631.1696 14319.326
## [876,] 4049.52406 2963.6439 20936.974
## [877,] 608.84951 3513.0826 9096.480
## [878,] 1943.11407 951.9637 9648.992
## [879,] 7702.08549 1260.4630 12323.540
## [880,] 787.00155 672.2981 16644.386
## [881,] 4646.63479 1553.3586 14955.560
## [882,] 140.95810 4893.0033 11617.564
## [883,] 7270.82237 3714.8480 16680.945
## [884,] 9043.11743 3086.8307 13802.948
## [885,] 5231.96113 2093.8256 18714.970
## [886,] 3760.44465 2787.1980 12965.562
## [887,] 9178.12725 8433.9368 8327.301
## [888,] 3165.60601 11086.2452 10410.753
## [889,] 9490.51083 2545.4851 15022.308
## [890,] 3246.54442 10452.4721 13169.889
## [891,] 9687.19101 592.3170 12593.276
## [892,] 4453.86227 1506.4170 7606.868
## [893,] 4213.74388 3741.5898 18267.438
## [894,] 6563.03036 3520.5545 26634.006
## [895,] 6269.12750 9654.0061 15946.791
## [896,] 4433.88629 6028.7857 12567.430
## [897,] 35.80716 9399.8101 15397.573
## [898,] 4034.88003 3963.6993 27743.181
## [899,] 8700.26269 2662.5879 12430.465
## [900,] 5679.50838 2048.3260 9681.530
## [901,] 4525.34996 5688.2081 11502.229
## [902,] 5435.36677 5306.9914 10786.485
## [903,] 426.98552 6266.5337 20103.378
## [904,] 192.82407 2433.2008 3952.342
## [905,] 1211.01535 6014.6703 17674.552
## [906,] 5472.55589 7704.2062 23828.869
## [907,] 4022.38102 4387.3875 11915.684
## [908,] 6512.31751 6475.4106 10538.945
## [909,] 2386.05057 3739.3882 12271.635
## [910,] 4616.15432 7062.7155 9850.442
## [911,] 6584.19663 1142.3831 13197.308
## [912,] 2923.80935 8619.1765 32067.704
## [913,] 2410.95864 3385.6625 8652.115
## [914,] 5745.84481 4104.9245 8481.543
## [915,] 2346.96586 11639.0901 12478.970
## [916,] 4594.04888 3696.4485 15316.138
## [917,] 1515.16704 12972.1351 14832.645
## [918,] 848.24615 5022.9622 13039.289
## [919,] 1376.30844 6460.6788 16579.856
## [920,] 8865.08669 12874.6001 7269.042
## [921,] 7587.82883 9449.6951 15937.424
## [922,] 2444.90712 2857.6682 6194.901
## [923,] 11528.23469 950.5471 19291.645
## [924,] 7065.79187 7433.3742 12005.048
## [925,] 5655.45966 3065.4332 16253.155
## [926,] 20128.32001 3401.6179 11924.439
## [927,] 2004.34381 3333.0065 11151.636
## [928,] 5564.63446 8949.9156 30639.890
## [929,] 3173.71205 14589.1154 8017.402
## [930,] 2891.77417 6632.6753 24093.155
## [931,] 4360.33560 11909.5386 29524.367
## [932,] 254.64156 15020.4312 26792.563
## [933,] 755.24680 4702.1963 33572.489
## [934,] 90.60544 4961.6341 12484.422
## [935,] 9045.10695 828.7554 10244.374
## [936,] 2891.24618 6516.5657 13770.847
## [937,] 1178.68141 6569.0534 22742.327
## [938,] 2392.13286 11804.1325 10581.969
## [939,] 1420.03240 15998.5821 21643.681
## [940,] 4086.09884 9296.1354 11369.227
## [941,] 1041.88416 2808.5351 14942.682
## [942,] 3996.02703 3389.7077 4075.756
## [943,] 10912.42841 2172.6334 22145.502
## [944,] 4950.56242 2255.4997 9517.303
## [945,] 12510.25923 3915.6569 24536.762
## [946,] 12155.78094 7420.1413 14479.453
## [947,] 2567.41427 5566.2928 16665.064
## [948,] 675.34510 2457.1805 22587.736
## [949,] 710.50842 3137.7917 17597.116
## [950,] 3943.98683 3120.8236 14418.909
## [951,] 9589.79384 5643.8273 15678.332
## [952,] 2446.16710 901.3215 28329.980
## [953,] 7339.19499 2509.9326 16829.918
## [954,] 1960.00821 11253.4907 7905.331
## [955,] 1353.11377 5219.0607 10330.911
## [956,] 2711.08479 1078.6617 18611.031
## [957,] 6375.38468 8534.1006 15997.374
## [958,] 2552.91114 1912.5029 4541.601
## [959,] 702.48504 335.8993 7577.716
## [960,] 2632.19721 5263.8746 5962.914
## [961,] 1323.43970 3981.8322 11610.960
## [962,] 7131.01704 1801.0147 19318.994
## [963,] 3925.50055 4554.1719 5786.082
## [964,] 4755.85276 352.5154 23399.051
## [965,] 11945.69477 6010.8149 8940.222
## [966,] 673.71330 3329.6032 18244.159
## [967,] 6304.23891 13223.2407 5864.865
## [968,] 8090.87234 5960.0925 14642.353
## [969,] 2021.13314 11109.8107 16346.623
## [970,] 424.27385 10292.0354 14665.022
## [971,] 6416.78194 7488.4595 13017.352
## [972,] 1281.76651 2268.5586 18593.312
## [973,] 1695.86532 2020.5133 37660.271
## [974,] 11893.22294 784.6616 20704.106
## [975,] 2419.71649 5531.7209 35740.623
## [976,] 3505.55166 13813.1733 23018.807
## [977,] 15964.47500 2458.1466 19749.987
## [978,] 13338.95967 4713.9105 14644.317
## [979,] 4230.86498 6660.7273 18863.616
## [980,] 1262.98876 3044.5747 23044.303
## [981,] 1316.91461 1666.7583 6074.562
## [982,] 6783.43776 8420.4252 20148.035
## [983,] 21318.77260 11901.2677 24277.843
## [984,] 5297.08452 3427.0233 21305.036
## [985,] 2111.40177 3737.9271 21240.355
## [986,] 9171.17013 1318.1552 4429.692
## [987,] 460.32697 2695.3827 12187.180
## [988,] 4251.89896 2587.7543 15700.889
## [989,] 1494.86937 17244.9019 16471.857
## [990,] 4935.43097 3289.2277 16512.619
## [991,] 724.89376 3783.7614 11161.146
## [992,] 1269.83477 3702.4725 11912.139
## [993,] 1025.48447 2555.8185 20207.750
## [994,] 1740.51815 1342.8519 9522.107
## [995,] 2505.26580 22443.6466 35417.301
## [996,] 3581.62107 7521.1129 17464.405
## [997,] 1218.26993 6907.9032 10399.343
## [998,] 1976.97696 3395.1420 11586.055
## [999,] 5055.97597 5046.0034 10912.042
## [1000,] 3075.05976 2524.5794 14416.506
##
## $`p-values`
## [1] 0.000 0.000 0.258
Procedura boostrapowa ANOVA, jak wcześniej, pokazuje, że oddzielnie wpływ rasy i edukacji jest istotny statystycznie na zarobki (p-value < 0,05), jednak interakcja rasy i edukacji na zarobki również jest nieistotna statystycznie (p-value > 0,05).
Następnie można zwizualizować badane interakcje czynników na wysokość zarobków.
interaction.plot(race,education,wage)
Występują trzy rodzaje interakcji, lecz tylko dla rasy osób z kategorii “inne”. Pierwsza pomiędzy “Some Collage”, “College Grade” i “Advanced Degree”. Zachodzi również interakcja pomiędzy “Advanced Degree” a “Some College”. Ostatnia z interakcji zachodzi pomiędzy “Some Collage”, “HS Grad” i “<HS Grad” Wnioskujemy zatem, że najwięcej interakcji zachodzi dla osób z rasą “inną”, a interakcje te zachodzą dla każdego stopnia skolaryzacji.