Anmul Modul 1
Nagatan Alief Putra SIlahen(086), M. NAUVAL SAYYID ABDILLAH (092)
2026-02-27
Dataset –> Klasifikasi Tingkat Kemiskinan di Indonesia
Keterangan:
X1: Persentase Penduduk Miskin (P0) Menurut Kabupaten/Kota (Persen)
X2: Rata-rata Lama Sekolah Penduduk 15+ (Tahun)
X3: Pengeluaran per Kapita Disesuaikan (Ribu Rupiah/Orang/Tahun)
X4: Indeks Pembangunan Manusia
X5: Umur Harapan Hidup (Tahun)
X6: Persentase rumah tangga yang memiliki akses terhadap sanitasi layak
X7: Persentase rumah tangga yang memiliki akses terhadap air minum layak
x8: Tingkat Pengangguran Terbuka
x9: Tingkat Partisipasi Angkatan Kerja
x10: PDRB atas Dasar Harga Konstan menurut Pengeluaran (Rupiah)
X11: Klasifikasi Kemiskinan
Link Data –> https://www.kaggle.com/datasets/ldausl/klasifikasi-tingkat-kemiskinan-di-indonesia
Import Library
library(psych)
library(dplyr)##
## Attaching package: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(FactoMineR)
library(factoextra)## Loading required package: ggplot2##
## Attaching package: 'ggplot2'## The following objects are masked from 'package:psych':
##
## %+%, alpha## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBaLoad Data
data <- read.csv("Klasifikasi Tingkat Kemiskinan di Indonesia.csv")
print(head(data))## Provinsi Kab.Kota X1 X2 X3 X4 X5 X6 X7 X8 X9
## 1 ACEH Simeulue 18.98 9.48 7148 66.41 65.28 71.56 87.45 5.71 71.15
## 2 ACEH Aceh Singkil 20.36 8.68 8776 69.22 67.43 69.56 78.58 8.36 62.85
## 3 ACEH Aceh Selatan 13.18 8.88 8180 67.44 64.40 62.55 79.65 6.46 60.85
## 4 ACEH Aceh Tenggara 13.41 9.67 8030 69.44 68.22 62.71 86.71 6.43 69.62
## 5 ACEH Aceh Timur 14.45 8.21 8577 67.83 68.74 66.75 83.16 7.13 59.48
## 6 ACEH Aceh Tengah 15.26 9.86 10780 73.37 68.86 90.58 90.10 2.61 76.30
## X10 X11
## 1 1648096 0
## 2 1780419 1
## 3 4345784 0
## 4 3487157 0
## 5 8433526 0
## 6 5953118 0Gunakan Data Numerik
data_num <- data[, sapply(data, is.numeric)]
head(data_num)## X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11
## 1 18.98 9.48 7148 66.41 65.28 71.56 87.45 5.71 71.15 1648096 0
## 2 20.36 8.68 8776 69.22 67.43 69.56 78.58 8.36 62.85 1780419 1
## 3 13.18 8.88 8180 67.44 64.40 62.55 79.65 6.46 60.85 4345784 0
## 4 13.41 9.67 8030 69.44 68.22 62.71 86.71 6.43 69.62 3487157 0
## 5 14.45 8.21 8577 67.83 68.74 66.75 83.16 7.13 59.48 8433526 0
## 6 15.26 9.86 10780 73.37 68.86 90.58 90.10 2.61 76.30 5953118 0Cleaning Data
data_clean <- na.omit(data_num)
head(data_clean)## X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11
## 1 18.98 9.48 7148 66.41 65.28 71.56 87.45 5.71 71.15 1648096 0
## 2 20.36 8.68 8776 69.22 67.43 69.56 78.58 8.36 62.85 1780419 1
## 3 13.18 8.88 8180 67.44 64.40 62.55 79.65 6.46 60.85 4345784 0
## 4 13.41 9.67 8030 69.44 68.22 62.71 86.71 6.43 69.62 3487157 0
## 5 14.45 8.21 8577 67.83 68.74 66.75 83.16 7.13 59.48 8433526 0
## 6 15.26 9.86 10780 73.37 68.86 90.58 90.10 2.61 76.30 5953118 0Analisis
#1. Korelasi
cor(data_num)## X1 X2 X3 X4 X5 X6
## X1 1.0000000 -0.5439086 -0.6442219 -0.7071604 -0.5405309 -0.5622956
## X2 -0.5439086 1.0000000 0.6688473 0.8688109 0.4160388 0.6125164
## X3 -0.6442219 0.6688473 1.0000000 0.8715336 0.5668087 0.5682333
## X4 -0.7071604 0.8688109 0.8715336 1.0000000 0.7070837 0.6967535
## X5 -0.5405309 0.4160388 0.5668087 0.7070837 1.0000000 0.4640760
## X6 -0.5622956 0.6125164 0.5682333 0.6967535 0.4640760 1.0000000
## X7 -0.3735016 0.4589014 0.4462669 0.5499921 0.4074537 0.5430341
## X8 -0.4005907 0.5192537 0.5510882 0.5788668 0.4186352 0.3102468
## X9 0.4623456 -0.5002928 -0.4016942 -0.5130520 -0.2322629 -0.4391536
## X10 -0.2415011 0.2712615 0.5128919 0.3719521 0.3238798 0.1866154
## X11 0.7563292 -0.3667189 -0.4561223 -0.5351246 -0.4492051 -0.4440028
## X7 X8 X9 X10 X11
## X1 -0.3735016 -0.4005907 0.4623456 -0.2415011 0.7563292
## X2 0.4589014 0.5192537 -0.5002928 0.2712615 -0.3667189
## X3 0.4462669 0.5510882 -0.4016942 0.5128919 -0.4561223
## X4 0.5499921 0.5788668 -0.5130520 0.3719521 -0.5351246
## X5 0.4074537 0.4186352 -0.2322629 0.3238798 -0.4492051
## X6 0.5430341 0.3102468 -0.4391536 0.1866154 -0.4440028
## X7 1.0000000 0.4104018 -0.4034359 0.2261549 -0.3067567
## X8 0.4104018 1.0000000 -0.5823936 0.3934575 -0.2373164
## X9 -0.4034359 -0.5823936 1.0000000 -0.2099123 0.3490230
## X10 0.2261549 0.3934575 -0.2099123 1.0000000 -0.1412997
## X11 -0.3067567 -0.2373164 0.3490230 -0.1412997 1.0000000# Visualisasi Korelasi
data_num <- data[, sapply(data, is.numeric)]
cor_matrix <- cor(data_num, use = "complete.obs")
corrplot::corrplot(cor_matrix, tl.col = "black", tl.srt = 45, tl.cex = 0.5)
#2. MSA
r <- cor(data_num)
psych::KMO(r) ## Kaiser-Meyer-Olkin factor adequacy
## Call: psych::KMO(r = r)
## Overall MSA = 0.74
## MSA for each item =
## X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11
## 0.87 0.64 0.67 0.66 0.58 0.93 0.92 0.84 0.79 0.70 0.81#hapus temp_mean
data_num = data_num[-8]#cek
r <- cor(data_num)
KMO(r) ## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = r)
## Overall MSA = 0.72
## MSA for each item =
## X1 X2 X3 X4 X5 X6 X7 X9 X10 X11
## 0.86 0.62 0.66 0.65 0.57 0.95 0.92 0.87 0.63 0.80#3. Bartlett Test
bartlett.test(data_num)##
## Bartlett test of homogeneity of variances
##
## data: data_num
## Bartlett's K-squared = 130951, df = 9, p-value < 2.2e-16Principal Component Analysis (PCA)
Manual
# scale data
scale_data = scale(data_num)
r = cov(scale_data)#Menghitung eigenvalue dan eigenvector
pc <- eigen(r)
print('eigen values:')## [1] "eigen values:"pc$values## [1] 5.43531550 1.02202038 0.91907751 0.72322243 0.62157618 0.44685103
## [7] 0.36988322 0.25113771 0.19228580 0.01863024print('eigen vectors:')## [1] "eigen vectors:"pc$vectors## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.3481279 0.285725756 0.32530540 0.19350672 -0.01620217 0.10706230
## [2,] -0.3445674 0.038327998 0.29403391 -0.01018222 -0.51702300 -0.06277789
## [3,] -0.3658630 0.266193248 -0.09651537 -0.02456942 -0.23107580 -0.13486801
## [4,] -0.4090081 0.070830715 0.03032041 0.11209605 -0.27885976 0.10835701
## [5,] -0.3024809 0.115748381 -0.35148657 0.44725850 0.11720760 0.67809950
## [6,] -0.3300834 -0.161087637 0.23602521 0.24217862 -0.03058611 -0.36765164
## [7,] -0.2735868 0.006783326 0.41908134 0.37479845 0.64348032 -0.15887607
## [8,] 0.2602446 0.164213617 -0.43996526 0.62759487 -0.18898525 -0.48947156
## [9,] -0.1879240 0.763160872 -0.17921680 -0.34236417 0.28481089 -0.20547264
## [10,] 0.2838920 0.438454520 0.46574450 0.19755811 -0.23599405 0.22942601
## [,7] [,8] [,9] [,10]
## [1,] -0.05423277 -0.267509884 0.75343861 0.001412699
## [2,] 0.27718121 -0.529089647 -0.15047258 0.377602327
## [3,] 0.17068549 0.660898140 0.37660538 0.325621938
## [4,] 0.13681088 -0.007772712 0.10749742 -0.833290570
## [5,] -0.18000416 -0.122922248 -0.01810170 0.223895187
## [6,] -0.78212394 0.001624945 0.04530858 0.029337873
## [7,] 0.40271865 0.041092826 -0.07341155 0.020795959
## [8,] 0.14759221 -0.087954646 -0.10879793 -0.034749883
## [9,] -0.16132459 -0.262889788 -0.10679941 -0.055309483
## [10,] -0.13515872 0.343522401 -0.47464519 -0.036369439#Menghitung proporsi varians dan kumulatif
sumvar <- sum(pc$values)
propvar <- sapply(pc$values, function(x) x/sumvar)*100
cumvar <- data.frame(cbind(pc$values, propvar)) %>% mutate(cum = cumsum(propvar))
colnames(cumvar)[1] <- "eigen_value"
row.names(cumvar) <- paste0("PC",c(1:ncol(data_num)))
print(cumvar)## eigen_value propvar cum
## PC1 5.43531550 54.3531550 54.35315
## PC2 1.02202038 10.2202038 64.57336
## PC3 0.91907751 9.1907751 73.76413
## PC4 0.72322243 7.2322243 80.99636
## PC5 0.62157618 6.2157618 87.21212
## PC6 0.44685103 4.4685103 91.68063
## PC7 0.36988322 3.6988322 95.37946
## PC8 0.25113771 2.5113771 97.89084
## PC9 0.19228580 1.9228580 99.81370
## PC10 0.01863024 0.1863024 100.00000#hasilPCA
print('eigen vectors:')## [1] "eigen vectors:"pc$vectors## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.3481279 0.285725756 0.32530540 0.19350672 -0.01620217 0.10706230
## [2,] -0.3445674 0.038327998 0.29403391 -0.01018222 -0.51702300 -0.06277789
## [3,] -0.3658630 0.266193248 -0.09651537 -0.02456942 -0.23107580 -0.13486801
## [4,] -0.4090081 0.070830715 0.03032041 0.11209605 -0.27885976 0.10835701
## [5,] -0.3024809 0.115748381 -0.35148657 0.44725850 0.11720760 0.67809950
## [6,] -0.3300834 -0.161087637 0.23602521 0.24217862 -0.03058611 -0.36765164
## [7,] -0.2735868 0.006783326 0.41908134 0.37479845 0.64348032 -0.15887607
## [8,] 0.2602446 0.164213617 -0.43996526 0.62759487 -0.18898525 -0.48947156
## [9,] -0.1879240 0.763160872 -0.17921680 -0.34236417 0.28481089 -0.20547264
## [10,] 0.2838920 0.438454520 0.46574450 0.19755811 -0.23599405 0.22942601
## [,7] [,8] [,9] [,10]
## [1,] -0.05423277 -0.267509884 0.75343861 0.001412699
## [2,] 0.27718121 -0.529089647 -0.15047258 0.377602327
## [3,] 0.17068549 0.660898140 0.37660538 0.325621938
## [4,] 0.13681088 -0.007772712 0.10749742 -0.833290570
## [5,] -0.18000416 -0.122922248 -0.01810170 0.223895187
## [6,] -0.78212394 0.001624945 0.04530858 0.029337873
## [7,] 0.40271865 0.041092826 -0.07341155 0.020795959
## [8,] 0.14759221 -0.087954646 -0.10879793 -0.034749883
## [9,] -0.16132459 -0.262889788 -0.10679941 -0.055309483
## [10,] -0.13515872 0.343522401 -0.47464519 -0.036369439print('PC result')## [1] "PC result"scores <- as.matrix(scale_data) %*% pc$vectors
scores## [,1] [,2] [,3] [,4] [,5]
## [1,] 1.228898280 -0.607766006 0.8011248260 -0.213123771 -0.052220726
## [2,] 1.600267004 0.836068298 2.1900598750 -0.306743479 -0.825656111
## [3,] 0.824664260 -0.907987781 0.8736116058 -1.799065335 0.004233050
## [4,] 0.461939967 -0.532110427 0.2417186149 -0.229349770 -0.165083311
## [5,] 0.359164500 -0.691164443 0.5794029240 -1.220858996 0.512647352
## [6,] -0.457691491 -0.152372722 0.1878207996 1.025344477 -0.699774118
## [7,] -0.604859533 -0.570188069 1.6192003083 -0.531866300 0.194812550
## [8,] -0.976118763 -0.548191260 0.9095090671 -0.566868104 -0.581032312
## [9,] 0.389286766 -0.253041310 1.0439465173 -1.223723957 0.201209806
## [10,] -0.664079974 -0.480433952 0.4950881780 0.205071119 0.262354751
## [11,] -0.098113451 -0.585454377 1.2179910965 -0.903834338 0.717793431
## [12,] 0.509427130 -0.866740065 1.5612715179 -1.503796480 0.801686532
## [13,] 1.954556510 -0.006776980 -0.3639710626 0.236450674 -0.201164249
## [14,] -0.069135539 -0.728734703 0.3742827040 -0.140533500 0.015289796
## [15,] 0.299385703 -0.476988462 0.7118480073 -0.210666735 0.431608052
## [16,] 0.298383928 -0.542312737 0.1412789762 0.170065698 -0.193487876
## [17,] -0.244954937 0.075707878 0.1937484953 1.249231238 -0.822538032
## [18,] -0.722186948 -0.387429136 1.3349450291 -0.606810546 0.224686618
## [19,] -4.180435663 0.180200404 1.2037776387 0.280691936 -1.769605690
## [20,] -1.764961541 -0.385059240 1.3140757579 0.246985280 -0.639185430
## [21,] -1.917634872 -0.374759374 0.9904721596 0.328104779 -0.806334676
## [22,] -2.133194675 -0.398518122 0.9440729008 0.250263491 -0.677273631
## [23,] 1.816156259 -0.910614846 0.3661071023 -1.797567606 -0.471744441
## [24,] 3.833214311 0.035127825 -2.9058485348 -0.306151567 -0.355280831
## [25,] 1.582149918 -0.417891856 -0.3434895132 -1.788891091 -0.521968387
## [26,] 0.909471826 -0.136819702 -0.8832318184 -1.035827311 -1.328361102
## [27,] 1.004131871 -0.169845901 -0.8447277974 -0.374420071 -0.983984694
## [28,] -0.488878479 -0.046943940 -0.6011696959 1.373166425 -1.046026274
## [29,] -1.247826358 -0.053324557 -0.3061483072 1.572414674 -0.990322446
## [30,] -1.278642608 -0.352348741 0.5854080437 -0.590499967 0.287141831
## [31,] -1.015416132 -0.412859548 0.7329179127 -0.576127758 0.489192689
## [32,] -1.438640487 -0.003035345 0.0296818816 0.895548557 0.065722691
## [33,] -0.302336409 -0.219097843 -0.7756382137 1.851984852 -0.702385536
## [34,] -0.949510035 0.274469797 -1.0419098153 1.918999676 -0.967034752
## [35,] -2.518974466 0.455425153 0.0964245609 -0.005895327 0.122880341
## [36,] -0.630284087 -0.071482250 0.0563666422 -0.072918476 0.222982711
## [37,] 3.253195689 -0.133370924 -1.6800617610 -1.029421348 0.550724948
## [38,] 0.152356115 -0.496990592 -0.5423409754 1.764409419 -0.381684071
## [39,] 1.184763512 -0.592566084 -1.1284647234 1.115225881 -1.271144745
## [40,] 0.510080737 -0.278142293 -1.3831149861 1.504130953 -1.430316301
## [41,] -1.016415415 -0.497978311 0.5084450993 -0.014233352 0.475418120
## [42,] -0.146728482 -0.279821255 0.4401278206 0.057723312 0.658523613
## [43,] 0.485985419 -0.276915877 -0.6310082837 0.055566131 -0.864404091
## [44,] 0.823559433 -0.441588362 -0.6856836701 -0.247417399 -0.522445799
## [45,] -0.824781932 -0.365753512 0.1039218830 -0.461327607 -0.216065402
## [46,] -0.732076923 -0.263692523 0.0369559795 -0.390268491 0.033606137
## [47,] 4.055635148 1.236797201 0.2932166103 0.353899361 -0.793406182
## [48,] 4.465529076 1.474770280 0.0850466953 1.288785041 -0.407494822
## [49,] -0.087176880 0.179254032 -0.2230344159 -0.189280562 -0.616521987
## [50,] -0.081677204 -0.658762370 1.1217769221 -0.847163552 -0.426932775
## [51,] -2.544108331 -0.099622213 0.3535728872 1.005911648 -0.718221936
## [52,] -2.033275372 -0.331258973 0.7438851281 0.589840072 -0.445364690
## [53,] -3.927978868 2.305682187 0.2834645611 -0.736603161 -0.072125362
## [54,] -2.455940699 -0.660070482 0.8456378174 0.229782954 -0.235811409
## [55,] -0.271665847 -0.253237873 -0.9186325237 -1.170411299 -2.351684433
## [56,] 0.789275106 -0.347990851 -0.2348786197 -0.924282238 -0.039729860
## [57,] 3.021168918 -0.668611502 -1.3796914091 -0.117186394 -0.690880361
## [58,] -0.062775798 -0.612643422 -0.5552990483 -0.487849526 -0.063733464
## [59,] 0.715296714 -0.276781237 -1.0107675932 -0.601142950 -0.076545707
## [60,] 0.647884908 -0.700511933 -0.7475090296 -1.072177566 -0.790223193
## [61,] -0.408680048 -0.437089701 -0.5610771275 -0.614341674 0.027317985
## [62,] -0.108645114 -0.405809303 -0.3221647598 -0.940954299 0.312656855
## [63,] -0.934898599 -0.484769571 -0.2762532922 0.021669183 0.111855445
## [64,] 0.609444307 -0.363062416 -1.2469524184 -0.583516780 -0.459466296
## [65,] 1.044977203 -0.618435735 -0.5869602388 -0.877938357 0.287780742
## [66,] 0.461144821 -0.463391726 -0.6992771789 -0.375519937 -0.218120925
## [67,] -0.442223559 -0.382893049 -1.1336308507 0.216045995 -0.845144760
## [68,] 0.222388143 -0.710483706 -0.1696058690 -0.780240845 0.122174978
## [69,] -3.407179592 0.524552075 0.1942800970 -0.012065468 -0.947673805
## [70,] -2.718533307 -0.538970128 0.2160283571 0.634879009 -0.681987783
## [71,] -1.373386901 -0.882536589 0.0789241280 -0.038619778 -0.547707661
## [72,] -2.143551097 -0.451245952 0.4433491497 0.343315998 -0.643809021
## [73,] -3.014582428 -0.200471777 0.1687268439 0.872594927 -0.936700829
## [74,] -2.544880559 -0.126496351 -0.0543101906 1.274963842 -0.761743036
## [75,] -2.258234099 -0.545817915 0.6558528010 -0.299880676 -0.495950965
## [76,] -0.585749235 -0.423574047 0.1635604126 -0.389605059 0.028713363
## [77,] -0.252570717 -0.318674171 -0.9403465910 -0.727252153 -0.618514496
## [78,] 0.546285537 0.061998654 -0.7468427650 -1.014444660 1.000088202
## [79,] -0.851832752 0.141498873 -0.4651577058 -0.030275808 -0.117577638
## [80,] -2.105586191 0.080421506 0.2421271269 -0.291558416 0.033909999
## [81,] -1.553969083 0.039887976 0.2817304904 -0.556971287 0.265143953
## [82,] -0.589172681 -0.404551285 0.2643627329 -0.055989872 0.550680858
## [83,] -1.840542467 0.504286236 0.0008457378 -0.242328168 0.205263875
## [84,] -0.646424461 -0.231836688 0.0579592622 -1.129780632 0.789928083
## [85,] 2.483938436 1.267483385 2.1201083028 0.084130947 0.098958367
## [86,] -3.894795025 0.618535468 0.6308682963 -0.376942701 -0.686100567
## [87,] -2.187102541 -0.438117989 0.3391080325 -0.105488393 -0.279642328
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## [291,] -2.518432733 0.004305997 0.3466041800 0.412499817 -0.398592849
## [292,] -1.481978243 -0.324696542 0.2176554357 1.286788791 -0.618820317
## [293,] 3.517802416 1.307493911 1.5151276372 0.898575370 0.108284567
## [294,] 3.033017941 1.388823429 1.9031515682 0.522426074 -0.616466325
## [295,] 2.925494467 0.927404384 1.8193827608 0.633168785 -0.256634919
## [296,] 4.362662334 1.346189463 0.4546886027 0.501836929 -0.900416614
## [297,] 3.033329808 1.011604357 1.4201731437 1.372844401 -0.262127721
## [298,] 1.710112808 -0.797650149 0.3311480061 -0.421686169 0.797776687
## [299,] 3.182390236 0.509281943 2.2047293034 -0.141187748 -0.905558968
## [300,] 2.050014862 0.785856376 2.7180708301 0.920677008 0.005231575
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## [302,] 1.074733324 -0.735216465 -0.0830154450 0.434599188 0.904864157
## [303,] 2.124092064 1.178001894 2.1370519175 1.613516808 -0.287686964
## [304,] 0.139889248 -0.723732063 0.3554065494 0.560059744 0.377025448
## [305,] 2.654997215 0.973657481 1.4458054659 1.397518120 -0.074081944
## [306,] 3.013071019 0.872107075 2.4777410446 1.145360547 0.055917271
## [307,] 1.501985169 -0.566067428 0.1253979194 0.299907746 0.778897617
## [308,] 4.371062119 1.305318035 1.2123512695 0.040194104 -0.465755124
## [309,] 4.364970927 1.580753163 0.4008004076 1.708566733 0.052455848
## [310,] 0.404419807 -0.963705882 0.6868656704 -0.120694978 0.827169835
## [311,] 4.237661226 1.372102465 0.5421675800 1.342702220 -0.450096203
## [312,] 4.855384303 0.481278397 1.9889534975 -1.034538328 -0.987757792
## [313,] 2.171808783 -0.984822073 0.3286906888 -0.539077533 1.040231132
## [314,] -2.624951991 -0.188116475 1.1750703357 -0.242557451 -0.946842981
## [315,] 0.049695866 -0.648657644 -0.3463572059 0.538516755 1.041496591
## [316,] 0.062956936 -0.700231271 -1.3232292991 0.301754921 0.378141446
## [317,] 1.123409095 -0.551592897 -1.4255751106 -0.176116223 0.140133683
## [318,] -0.153835305 -1.250184100 0.0228413249 -0.644334133 1.280444279
## [319,] 0.316360309 -0.733353677 -0.9691860002 -0.203290545 0.648268202
## [320,] 0.505827840 -0.530588307 -0.9712317125 -1.126135368 -0.356995680
## [321,] 1.428985282 -0.319267107 -2.2845551067 0.064601301 -0.787285481
## [322,] 0.819430547 -0.680521522 -1.1350083124 0.276637261 0.429188544
## [323,] 1.377451452 -0.849155769 -2.0583961105 -0.561788565 -0.510486018
## [324,] 1.046109201 -0.508885707 -1.4559324106 0.190827611 0.054527356
## [325,] 0.918704597 -1.035710467 0.0704503052 -0.383707964 1.898497873
## [326,] -0.168119830 -0.735130154 -0.3898736004 -0.065419946 1.333688350
## [327,] -3.250534705 -0.073317504 0.4422164324 0.056307215 -0.538316943
## [328,] -1.393623441 -0.709242311 -0.1620424266 0.001202915 0.379197219
## [329,] -1.388514911 -0.370433962 -0.5026594680 0.196159780 -0.288314043
## [330,] -0.687772745 -0.331066320 -0.4133412836 -0.505440379 0.087489551
## [331,] 0.547562220 -0.312851904 -1.3087696035 -0.921866168 -0.334273263
## [332,] 0.051581883 -0.735626508 -0.7151308683 -1.965911147 -1.433252084
## [333,] -0.027059729 -0.558229658 -1.2850572777 -0.479341367 -1.117799101
## [334,] -0.208310372 -0.883172718 -0.7697170296 0.381618193 0.334235406
## [335,] -0.311956333 -0.718919667 -0.9729533014 -0.471972038 -0.882228998
## [336,] 0.649640908 -0.693080009 -1.1571052985 -0.569221356 -0.728922740
## [337,] -0.165924625 -0.909536363 0.2579136819 -1.235390622 -0.097000831
## [338,] 0.272856078 -0.634059833 -0.7277738074 -0.108893983 0.103733202
## [339,] -0.458285569 -0.682945142 -0.8787054280 -0.416571895 -1.233804141
## [340,] 0.067404045 -0.349493805 -1.1989725682 0.188945992 -1.446945818
## [341,] 0.619434220 -0.584244200 -1.2734265326 -1.152061410 -0.572653455
## [342,] -3.395967405 -0.267658098 0.6183987265 0.329383827 -0.841090243
## [343,] 0.254908176 -0.402727152 -1.4993376052 -0.587504848 -0.825367684
## [344,] 0.060978786 -0.422838327 -1.1815768458 -1.076962551 -0.501729539
## [345,] -0.030479535 -0.509897033 -1.1721359856 -0.878820150 -0.774372365
## [346,] 1.358583587 -0.571252211 -1.4639864708 -0.803279412 -0.607270994
## [347,] -0.520428580 -0.560173621 -0.9688336667 -0.119827733 -0.194474822
## [348,] -0.111732419 -0.693225816 -0.5277882473 -0.874813191 -0.607937608
## [349,] -0.390533670 -0.679331328 0.0592614407 -0.246234180 0.080221924
## [350,] 0.513332046 -1.020419157 0.1900096878 -0.456496239 0.281227118
## [351,] -0.943520399 -0.437078949 -0.6388289768 0.120382217 -0.945408575
## [352,] -0.493323851 -0.488105014 -1.0943746219 -0.647518018 -0.844344042
## [353,] 0.045339036 -0.528713969 -0.8855506035 0.124198887 -0.429105152
## [354,] -2.764606147 -0.130363600 0.5450250402 -0.056752033 -0.315812049
## [355,] -2.560953714 -0.324163698 0.0526327639 0.067198705 -1.331079338
## [356,] -0.725928748 0.005565112 -0.8617891010 -0.663532911 -0.781876413
## [357,] -0.404516281 -0.148995609 -1.1015931497 0.369829542 -0.795071710
## [358,] -1.675882390 1.343851748 -0.6981869848 -1.066434584 0.109972289
## [359,] -1.474418824 0.982432857 -0.6946915558 -0.259964658 -0.113900484
## [360,] -1.907600550 -0.115464283 -0.1312053824 -0.062800764 -0.332496287
## [361,] -0.858464896 -0.501968412 -0.4725936074 -0.109832454 -0.299802836
## [362,] 0.823637822 -0.686035006 -1.4893316932 0.261697946 -1.205043437
## [363,] -3.807101168 1.037040562 -0.0603402321 0.061304381 -0.242047304
## [364,] -3.421600944 0.392553728 0.1043496577 0.357750340 -0.477328520
## [365,] -3.669089947 0.586548256 -0.0247972209 0.636977573 -0.718244868
## [366,] -0.247823375 -0.374121078 -0.9646790854 -0.090753806 -0.925832402
## [367,] -0.743619481 -0.516513623 -0.3702481689 0.267664182 -0.503192691
## [368,] -0.317996344 -1.043930586 -0.2099252792 -0.016474296 0.343214445
## [369,] 0.056752478 -0.863786659 -0.2609116338 -0.282389115 0.746010370
## [370,] -2.094904148 -0.170150994 0.1977025566 0.163210232 0.152326646
## [371,] -0.323951449 -0.805119447 0.1743687368 -0.830937192 0.558898786
## [372,] -1.998617700 -0.493657275 0.6037280744 -0.627461719 -0.356217692
## [373,] -0.867084867 -0.576032428 0.4576478320 -0.171608173 0.379907485
## [374,] -0.022658973 -0.569388500 -0.5656374898 1.136144327 -0.583661503
## [375,] -1.210054991 -0.601263398 0.5340274819 -0.324415244 0.002407512
## [376,] -1.799052250 -0.606312035 0.4982221113 -0.326298553 -0.363451982
## [377,] 0.227657025 -0.954664147 0.0914153360 -0.996148329 0.057508626
## [378,] -0.759514009 -1.096094308 0.7700763037 -0.004660945 0.728115984
## [379,] -0.821180857 -0.590061928 0.6305055464 0.023734515 0.161845937
## [380,] 0.671028807 -1.039128173 1.0859776826 -1.735177503 0.548957500
## [381,] 0.280456472 -0.928913501 0.0380368875 -0.819669921 0.750350025
## [382,] -3.107004948 -0.077836246 0.9046663892 -0.485544858 -0.724365497
## [383,] -2.014493465 -0.513688082 0.6370703068 -0.195044745 -0.053652287
## [384,] -2.685315056 -0.811808057 1.0976546516 -0.323474869 -0.316578890
## [385,] -1.421818432 -0.623141946 0.4514057356 -0.161923643 -0.095055308
## [386,] 0.895183760 -0.758711980 0.4750127466 0.158689219 0.704420779
## [387,] -0.545868503 -0.383204856 -0.2594153333 0.547445541 0.456944771
## [388,] -0.954939324 0.367757673 0.5831722504 -0.650980197 0.314062010
## [389,] -0.239070109 -0.307655193 0.1210133945 1.016116682 -0.185806332
## [390,] 1.081660425 -0.504562777 0.3679690158 -0.443870805 0.702097669
## [391,] 0.728909042 -0.814287070 0.7007851292 -1.051756525 0.332912905
## [392,] 0.413972202 -0.622062316 0.3007722894 -0.244441810 0.138700815
## [393,] 1.399920291 -0.420594587 0.0534217280 -1.120339826 -0.036233358
## [394,] 1.364401528 -0.537653914 0.3277183924 0.284328866 0.532180314
## [395,] 0.409603838 -0.562492827 -0.2489471778 0.079701066 -0.198019212
## [396,] 0.813294286 -0.914730899 1.0529162167 -1.263538028 0.734309566
## [397,] 0.191010744 -0.505317698 0.0827067621 -0.058177977 0.039709429
## [398,] -3.162369236 0.021506329 0.8008450342 0.232447542 -1.178366665
## [399,] 0.393143152 -0.633539256 0.1130190939 -0.065235254 0.447277042
## [400,] -0.502613255 -0.824858331 0.2257092335 -0.456662961 0.338253508
## [401,] -0.074624638 -0.269467425 -0.6961055342 0.841507371 0.823404362
## [402,] 0.806362155 -0.724079783 0.5318363309 -0.224297910 1.397203811
## [403,] -0.302274759 -0.860400225 0.4915541053 -0.312522648 0.876277034
## [404,] -0.789208437 -0.692806952 0.1234840603 0.422300585 0.619777551
## [405,] 0.243202175 -0.740722750 -0.0902827514 0.066691052 0.348698080
## [406,] -0.732588175 -0.719411444 0.4734341714 -1.021786392 0.271548455
## [407,] -0.188533916 -0.362735417 0.6609554383 -0.656713877 0.357553058
## [408,] -1.246973195 -0.942915609 1.0477346019 -0.715818822 0.720215405
## [409,] 0.129950841 -0.727637546 0.4178642161 -0.518493580 0.946743338
## [410,] -0.888316532 -1.064564090 0.7928972041 -0.640447568 1.073171823
## [411,] -0.696740194 -0.692833439 0.1339541159 -0.644347614 0.470368633
## [412,] -1.730377911 -0.901527852 0.7587936463 -0.553843357 0.818545165
## [413,] -1.342989223 -0.712187636 0.7497657885 -0.829929662 0.616071055
## [414,] -0.387024561 -0.303805478 -0.5437211974 0.439676429 -0.914185301
## [415,] -0.512636648 -0.555715374 0.2561815660 -0.272795005 0.114804490
## [416,] 0.501980768 -0.440397729 -1.2412907416 1.151388820 -0.464899135
## [417,] -0.512478577 -0.541647637 0.5025492100 -0.516785035 0.145986622
## [418,] -1.078087069 -0.175359311 -0.7046082331 0.411300773 -0.767306145
## [419,] 0.078302623 -0.574399087 -0.8029488653 0.589986283 -0.214772440
## [420,] -4.368036844 1.782394610 0.4859382258 -0.949232296 -0.410289762
## [421,] -2.679109156 -0.397160959 0.5498629611 0.540089535 -0.681182108
## [422,] -2.626959705 -0.480146836 1.1101674790 -0.270681610 -0.640150335
## [423,] 0.430704631 -0.934414112 0.8140902355 -0.250091113 1.172617389
## [424,] -0.008943214 -0.665151774 0.3676475493 0.092788767 0.583517312
## [425,] -0.531049918 -0.412365104 0.1520171899 0.400603529 -0.261651608
## [426,] -1.039283605 0.038523006 -0.1556638119 0.374319732 -0.401161540
## [427,] 0.199483406 -0.446320835 -0.4364416948 0.430612653 0.322842223
## [428,] 0.447418339 -0.716346154 -0.1089885567 0.452139770 0.601969109
## [429,] -0.027145605 -0.475306334 0.1770220115 0.678926370 0.502125005
## [430,] 0.274738695 -0.156812144 -0.7021515473 1.334659844 -0.131775819
## [431,] 0.647375974 -0.388934958 -0.2776633351 0.954503600 0.277026082
## [432,] 0.156967383 -0.446532374 0.0038713691 0.115569192 -0.423491141
## [433,] 0.261305359 -0.518237212 -0.3520433912 1.390380823 0.763037143
## [434,] 0.693867269 -0.669674748 0.8208235982 0.458851063 0.560699326
## [435,] 0.892292332 -0.640711030 -0.1764603211 0.589918712 1.124079985
## [436,] 0.790039749 -1.021675765 0.8249042369 -0.404561109 1.178235608
## [437,] 0.956213967 -0.809465259 0.2781208208 0.601558878 0.969656431
## [438,] -3.847326368 -0.004289347 0.6502906323 0.668880064 -1.376363968
## [439,] -1.960632136 -0.552857364 0.6656723093 0.767564399 -0.431019274
## [440,] 0.855089973 -0.440905474 0.4043402911 -0.128153219 1.175929122
## [441,] 0.562780290 -0.466305285 0.6962657430 -0.311957030 1.018074449
## [442,] 1.106153534 -0.430107328 0.6138463852 -0.320598941 0.643828579
## [443,] 0.012019368 -0.434633053 0.6599255812 -0.244565484 0.449143656
## [444,] 1.180777333 -0.653032666 0.4018312836 -0.387796911 0.619180885
## [445,] -2.504321356 -0.499095130 0.5905267023 0.356270822 -0.273782180
## [446,] 0.484030487 -0.810657448 1.4420271723 -1.101923212 0.199053186
## [447,] 1.377357690 -0.822444778 0.7221230160 -0.854462906 0.422406708
## [448,] 2.226923450 -0.302530384 -2.5397715991 -0.163776812 -1.944191745
## [449,] 0.215321206 -0.746455234 -0.2741069208 -0.297105285 0.123813020
## [450,] -0.116219482 -0.772471712 -0.1016356960 -0.580731008 0.136390839
## [451,] 0.628259661 -0.967882264 -0.5690492645 -0.240588054 0.197465226
## [452,] 2.500846339 0.713539908 3.3041583770 0.414840218 -0.422999129
## [453,] 1.545076826 0.634761852 3.2292501830 0.143407465 -0.513417892
## [454,] -0.052408778 -0.346377674 1.3324686001 -0.768240662 -0.188608901
## [455,] 0.452850919 -0.291055374 0.6120779773 0.066495808 0.183213850
## [456,] 3.287684808 1.101108259 2.5329131165 -0.769743668 -0.497292362
## [457,] 2.772947115 1.109432239 2.6055711970 0.162230488 -0.700910484
## [458,] 2.908784083 0.897255967 2.6976117424 -0.642451003 -0.812242798
## [459,] 3.235997578 1.001849607 2.7140289480 1.076034556 -0.367536560
## [460,] 1.646332126 -0.486112822 -0.0229147576 0.232142135 0.666792951
## [461,] -3.294077023 -0.315378537 1.1148065128 -0.204060408 -1.183823827
## [462,] 1.109040459 0.613602512 3.6713408231 -0.095104017 -0.551928339
## [463,] 0.499991298 -1.135082090 0.6884564943 -0.764250441 0.847001983
## [464,] 0.657512946 -1.024773495 1.1237381343 -1.309440825 0.119144294
## [465,] 0.750213648 -1.408602349 0.9842288299 -1.446108978 0.262975221
## [466,] 1.037033998 -1.033046825 -0.0787185612 -0.879579899 0.776069849
## [467,] 0.018076967 -1.073936510 0.0121608809 -0.703377680 0.507887053
## [468,] 0.965564956 -0.718705729 -0.1733626642 -0.983875714 -0.330456275
## [469,] 1.241253639 -1.278621930 -0.3063037101 -0.845606288 0.670813307
## [470,] 2.159281038 -1.333992667 -0.1708014297 -1.709767923 0.025719845
## [471,] -3.385326371 -0.638452437 1.2654401384 -0.213013521 -0.827709483
## [472,] -0.986688810 -1.048477090 0.7691194132 0.084774946 0.229318951
## [473,] 1.858805687 1.126931852 2.1542231321 1.149958755 -0.187926454
## [474,] 1.440036781 -0.578089656 0.1360533004 0.035427663 -0.098401099
## [475,] 5.424834032 1.164907042 0.6026407327 -1.403339627 -2.901214264
## [476,] 2.611025973 1.434878669 3.1388286545 -0.322606040 -0.326718194
## [477,] 0.844076965 1.377999464 1.7064477266 1.121460162 -1.006365288
## [478,] 4.316216457 1.046863536 -0.2083803088 0.097118599 -1.548902213
## [479,] 1.507932878 -0.312904212 1.1025747625 -0.027620676 0.330017584
## [480,] 2.776904632 0.706191048 1.6487117849 -0.762787773 -0.682499892
## [481,] 6.303553020 0.766616221 1.0104060040 -0.831732851 -1.151676616
## [482,] 5.150113606 1.129044904 0.3899449532 0.526276474 -1.777259059
## [483,] 3.927496016 1.063505005 1.1108500015 2.310229011 -0.105473585
## [484,] 5.164466814 0.444177774 -1.5557546749 2.180808787 1.120653488
## [485,] -2.298492826 -0.020635508 1.2063020918 -0.089701235 -0.973859962
## [486,] 1.061695635 0.815026877 1.1409211026 0.088937613 -1.504468157
## [487,] 5.932710508 0.546017283 -1.2964645464 -0.974422902 -0.835036837
## [488,] 0.819950657 0.943948786 1.6140549382 -0.151319604 -1.730650106
## [489,] 1.367878163 1.252140860 2.2133323293 1.245160465 -1.175315645
## [490,] 1.836599043 1.047556482 2.4108916749 0.186898860 -0.784633650
## [491,] 0.743542708 1.259519038 2.7881952331 1.220193786 -0.962426823
## [492,] 6.605325051 2.268223260 -0.3055924231 1.601946947 0.577884074
## [493,] 7.345929477 1.874377387 -0.3034257440 1.747539977 1.216273617
## [494,] -1.652256394 0.782734234 0.3218699098 -0.186487973 -0.002076556
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## [496,] 4.581130060 0.830940132 1.1527883273 -1.864152870 -0.694560746
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## [366,] 0.4598960051 0.2987020697 -0.4164963580 -4.003329e-01 -0.0286080170
## [367,] 0.4284433458 -0.8850637032 -0.5803713213 -1.101762e-01 0.0676171491
## [368,] 0.3664677003 -0.3690037745 -0.5654347301 -9.022736e-01 0.2188076269
## [369,] 0.5455901073 -0.4287029728 -0.6172133032 -8.009357e-01 0.1449269471
## [370,] 1.0160044436 0.5035129189 -0.2500755642 -2.783989e-01 0.0088998794
## [371,] 0.4727001570 0.0926044791 0.3558496100 -1.644678e-01 0.1765749203
## [372,] 0.6473792914 -0.1105131483 0.2832034946 1.849714e-01 0.0111461755
## [373,] 0.2588695660 -0.0594144902 0.4270087287 3.611067e-01 0.0984069085
## [374,] -0.8227882951 0.0225183556 -0.8993708541 -6.172118e-01 0.1336466052
## [375,] 0.1911628984 -0.0997824033 0.2381638910 1.733382e-01 0.1043774834
## [376,] 0.4608315971 -0.2004328858 -0.0567900169 -9.709359e-02 0.1697037197
## [377,] 0.0945947103 0.0176248695 -0.0166058565 -2.988580e-01 0.1025476353
## [378,] 0.2864962782 -0.5510849397 -0.5405683141 -4.150361e-01 0.3082912332
## [379,] 0.1504904463 -0.1265356973 -0.1517122144 2.787395e-01 0.1517311738
## [380,] -0.0738587120 0.2341677459 0.0557771500 2.222135e-01 0.0941250294
## [381,] 0.1510733615 0.6840699970 0.2156665917 -5.614248e-01 0.1046392967
## [382,] 0.5862750538 0.4878179283 0.0732455735 7.863907e-02 0.1813574914
## [383,] 0.2744639410 0.1281199741 0.2141710905 -9.441949e-02 0.2132591986
## [384,] 0.7163272307 -0.1194176353 -0.0681264061 -1.552915e-01 0.1249224535
## [385,] 0.3912546885 0.9998851393 -0.2064673229 -4.818916e-01 0.1716958228
## [386,] -0.7892302482 0.4310999424 -0.6625621474 -1.912864e-01 0.0460203166
## [387,] -0.2356777064 0.1037969967 -0.2063863923 -4.440993e-01 -0.0466749751
## [388,] 0.0142481908 0.2243652377 -0.3708513461 3.692096e-01 -0.0182070457
## [389,] -0.1812265996 -0.1297509126 -0.9763280527 2.286147e-01 0.0068422801
## [390,] 0.0277857263 0.4449088623 -0.5106518613 3.015533e-01 0.0422698484
## [391,] -0.0490427213 0.3847240533 -0.5617493993 1.876681e-03 0.0777830875
## [392,] 0.2383393378 0.3338586126 -0.8206097625 -2.850927e-03 0.0783844123
## [393,] -0.6487846938 0.4054894670 0.0680795279 4.572802e-01 -0.0603991439
## [394,] -1.0197194040 0.6061525696 -0.7394496793 6.614557e-02 0.0970764490
## [395,] 0.0966438710 -0.2240425882 -0.7678657312 -5.755413e-02 0.0599756143
## [396,] 0.1433214582 0.7422570233 -0.5076313637 4.700779e-02 0.0869151472
## [397,] 0.0858095890 -0.1835351463 -0.5466249997 1.532456e-01 0.1183120256
## [398,] -0.0929639818 0.7466355101 0.1634759587 2.391678e-01 -0.0260220019
## [399,] -0.1693036842 0.1554394930 -0.1656670013 4.405650e-02 0.0097919651
## [400,] -0.4128157615 -0.5415774250 0.5106807644 -8.850199e-02 -0.0919432893
## [401,] -0.4045253873 0.2633879231 0.9013543422 1.257890e-01 -0.0024647450
## [402,] -0.6402745663 -0.1280481466 0.3919426418 3.380897e-01 -0.0087633104
## [403,] -0.6520721937 -0.2638909850 0.6287931054 -6.619923e-02 0.0229187633
## [404,] -0.3673487879 -0.6079360512 -0.0342993872 -3.668956e-01 -0.0793070946
## [405,] -0.9073023910 -0.2440751134 0.1481985744 -2.489033e-01 -0.0828155873
## [406,] 0.3487749544 -0.5997713200 0.4859942323 2.740224e-01 -0.0242293861
## [407,] -0.4923921398 -0.2205817868 0.4679493251 6.930086e-01 -0.0050554399
## [408,] 0.2295532643 -0.4613011794 0.5343701359 1.652625e-01 -0.0190801674
## [409,] -0.6426689960 -0.8538363521 0.1632053280 -3.501214e-02 -0.0753712378
## [410,] 0.3741063868 -0.6363250322 0.3071066472 -1.746043e-01 0.0209031367
## [411,] -0.6270318446 -0.6638830512 1.2614701958 1.573656e-01 -0.0814565830
## [412,] 0.1511350115 -0.5932897549 0.9934117663 -2.506051e-02 0.0636474905
## [413,] 0.3697677241 -0.6980613970 0.7982568059 3.576736e-01 -0.0010661646
## [414,] -0.1150990325 -0.5147861581 -0.1596221684 3.540445e-01 -0.0939185893
## [415,] 0.3459250131 -0.6060298602 -0.0563322754 3.425351e-01 -0.0417429214
## [416,] 0.2137474258 -0.6926785816 -1.0447450524 -2.863354e-01 -0.0509728085
## [417,] -0.0748590513 -0.7411719299 0.5514731878 7.484122e-01 0.0481767708
## [418,] -0.5589981581 -0.3741465175 0.4948395763 2.583628e-02 0.0348712837
## [419,] 0.5918573704 -0.9675440580 -0.6919440924 -7.758882e-02 -0.0180295181
## [420,] -0.1183012048 0.2746653566 0.3137521694 1.891630e-01 0.0220261219
## [421,] -0.2687782399 0.2537670874 0.3396195948 -4.840618e-02 0.0691719520
## [422,] 0.4011295933 0.2856817256 0.0829872538 2.297915e-01 0.0333438328
## [423,] 0.0934270472 -0.0619223179 -0.4908948281 -5.643086e-03 -0.0152305229
## [424,] 0.3482811790 -0.0877197259 -0.5674633386 5.457820e-02 -0.0385598057
## [425,] -0.1785797611 -0.2739131339 -0.3985725852 2.263335e-01 0.0504159024
## [426,] -0.0686645985 -0.1179308919 0.1767526045 5.198658e-01 0.0583638697
## [427,] 0.0480655459 -0.0005056456 -0.2939460256 -1.154879e-01 0.0409279209
## [428,] -0.5186536227 -0.0923592248 -0.3426981691 -3.153279e-01 0.1339545268
## [429,] -0.0783394050 -0.1307634087 -0.3040608058 3.159094e-01 -0.0749215072
## [430,] -0.8378666416 -0.0886017744 -0.2065762219 1.992617e-01 0.0328725686
## [431,] -0.0079879915 0.5391550541 -1.0725055953 -1.463016e-01 0.0945041663
## [432,] -0.0036703767 0.1348624593 -0.6767050985 1.904701e-01 0.0389462490
## [433,] 0.0435287419 -0.5011884751 -0.6913648867 -3.119278e-02 0.0725909780
## [434,] -0.3372907886 0.3022204325 -1.3383500524 5.235257e-02 0.3066363120
## [435,] 0.0612715676 0.0956612573 -0.4232797089 -7.247908e-02 0.0439655069
## [436,] -0.0594480995 -0.6426911899 -0.3547333201 2.592724e-01 0.0233211703
## [437,] -0.8599002639 -0.2941797192 -0.5005671115 -4.763655e-02 -0.0213258392
## [438,] 0.3243885891 0.5883290249 -0.2477904520 -1.118822e-01 -0.0382309467
## [439,] -0.2626214212 0.1564726573 -0.6596411041 -3.633466e-01 -0.0319165286
## [440,] 0.4587466711 0.1720820626 -0.0445396591 7.841639e-01 -0.0160220379
## [441,] -0.0516230247 0.0221233463 0.0477584731 7.437704e-01 -0.1029736084
## [442,] -1.1162131880 0.3290196065 0.3697226954 8.301079e-01 -0.0409844487
## [443,] 0.1628432223 0.3884029648 -0.0392406916 6.544325e-01 -0.0920059089
## [444,] -0.6081019654 -0.1921978932 0.0672042291 6.200507e-01 -0.0398669716
## [445,] 0.3674099019 0.1986418365 0.0646209574 -1.497122e-01 0.0260712904
## [446,] -1.4063243530 0.5558892592 0.0397133101 3.702417e-01 -0.0260389120
## [447,] -1.4828220968 -0.3880724863 -0.0241727080 3.729093e-01 -0.1319461941
## [448,] 0.3658994112 -0.8205771937 -0.8532916247 3.502963e-02 -0.0483122284
## [449,] -0.5353542301 -0.1143764247 0.1258207894 -3.628766e-01 -0.1001057379
## [450,] -0.8445973836 0.2329346892 0.6447569581 -4.269974e-01 0.0815900239
## [451,] -0.3411290657 -0.5030639245 0.0050190670 -5.126485e-01 -0.0108644937
## [452,] -0.4621492916 -0.3909632858 -0.6187849798 -4.823806e-01 0.2549744638
## [453,] 0.1025803588 -0.4629955003 -0.1822017463 -6.488322e-01 0.1238628283
## [454,] -0.0198588588 0.5324053425 -0.5156707879 9.781327e-01 -0.0369833396
## [455,] -0.6432379039 0.9439926490 -0.1792435310 6.104155e-01 -0.0151217204
## [456,] 0.6354586450 1.1981557504 0.0297501784 -2.998077e-01 0.0014417372
## [457,] -0.6338017781 0.7404672426 0.2827785402 -3.268864e-01 -0.1645080777
## [458,] -0.8910129382 0.4552344039 0.7967451104 -3.056912e-01 -0.1165893700
## [459,] -1.1438174520 -0.2536249200 -0.2719320255 -2.092093e-01 0.0442932063
## [460,] -0.6965289927 1.0541132554 -0.5825011315 -8.097658e-05 -0.0072674335
## [461,] 0.1124901187 0.8010874868 0.0005134749 -6.164633e-02 0.0497028653
## [462,] 0.5624665309 -0.2090853539 -0.4496097919 -6.174504e-01 0.1029881872
## [463,] -0.2953112931 0.3369524203 -0.3581139900 -5.356936e-01 0.0546340466
## [464,] -0.6134591288 -0.0848590604 -0.5532729617 4.482423e-02 0.0908290178
## [465,] -0.8879337052 -0.0846874358 -0.5444447778 -6.533903e-01 0.1884032497
## [466,] -0.4062454485 0.9028764586 -0.2931046982 -1.052677e+00 0.0442575758
## [467,] 0.5105577163 0.2542818044 -0.4384385388 -8.798045e-01 0.0235703954
## [468,] 0.6952647243 -0.4242028848 -0.6012329052 2.963202e-01 0.0421001805
## [469,] -0.1033672716 -0.2486451383 -0.3317671694 -8.696613e-01 0.0672298107
## [470,] -1.0375722111 0.0392426104 -0.2963934087 -7.846088e-01 0.0537320829
## [471,] 0.1920890412 0.2903966787 0.0070168171 -2.593970e-01 0.0543993887
## [472,] -0.2132206717 0.0219027826 -0.7062049191 -7.274362e-01 0.0500548296
## [473,] 0.6576630599 0.4162441495 -0.1776647402 -7.580277e-01 -0.2030363364
## [474,] -1.2558654320 0.3469246957 -0.6411164748 1.298890e-01 0.0558355668
## [475,] -0.3014166331 -1.3909712405 0.3302192607 5.907268e-01 -0.1814731827
## [476,] -0.7928114878 -0.1615224799 0.5597598369 3.870281e-01 -0.0897053216
## [477,] 0.2381447242 -0.5320714417 1.1500950380 -1.477985e-01 -0.2202612493
## [478,] 0.5184764333 0.1545122128 0.0038789393 -1.303454e+00 -0.2019615853
## [479,] -0.4945230114 -0.4392134890 -1.1622707790 1.345482e+00 -0.0249894573
## [480,] 0.6522030880 0.1239697567 0.5749771178 -1.030933e+00 -0.0408869812
## [481,] -0.5581653726 -1.9320645273 0.0873661111 3.619897e-01 -0.0670761056
## [482,] -0.0835659938 -1.5624594689 -0.5103682775 -2.931826e-02 -0.1295799918
## [483,] -0.7073419014 -1.4969733043 -0.2859917895 -3.722191e-01 0.0273077327
## [484,] -1.2514140944 0.7579547143 -1.2837097747 1.348272e+00 0.0605986476
## [485,] 0.4064094869 0.2897991586 -0.1584725646 1.005217e+00 0.1340286790
## [486,] 0.0822757542 -0.6527957921 0.9795080686 -1.433828e+00 -0.2895097885
## [487,] -1.1571760000 1.0654521707 -0.6322127635 2.277179e+00 -0.3610365033
## [488,] 0.5016828693 0.0567401931 0.4704960481 -1.357327e+00 -0.1981120783
## [489,] 0.0820346173 -0.3856700040 -0.2663334341 -4.852633e-01 0.1070936871
## [490,] 1.5079215244 -0.2885247405 -0.4047606253 -2.719328e-01 0.0880372055
## [491,] 0.3589046882 0.0741347713 -0.1208062501 -2.806782e-01 -0.0903640489
## [492,] 0.6062734038 2.1479361748 0.2246179954 2.963001e-01 -0.1276104387
## [493,] -0.1599782493 1.2364442430 0.3561661663 6.281550e-02 0.4248962415
## [494,] 0.3952106646 -0.0274706010 -0.7814224369 3.771913e-01 0.1266441245
## [495,] -2.0310144025 0.6351013959 -0.8645248857 4.100031e-01 0.1749797429
## [496,] 1.9331803399 -0.3382296056 0.3727984228 -1.810413e-01 0.0883674124
## [497,] -1.3686166871 1.4866272156 0.8485375467 -9.170044e-01 0.1542718431
## [498,] 0.9152499676 0.2268844572 -0.0218096133 4.063867e-01 0.4596607320
## [499,] -0.4397882427 0.3652186069 0.8892996707 -3.477621e-01 0.6151720642
## [500,] 1.0047795465 -0.2418155992 0.1893337527 1.211388e-02 0.1872719998
## [501,] -0.3399358922 0.4527289853 -0.9575375908 -2.820100e-01 0.2410376025
## [502,] -0.6284928372 0.6369459297 -0.3785507360 2.765206e-01 -0.0522493759
## [503,] 1.3640847683 -1.3772847939 -0.4329917020 2.142925e-01 0.1595575793
## [504,] 0.8705003736 -1.8271195606 -1.0941559982 7.843785e-01 0.1264228470
## [505,] -0.6293256684 -1.0180794997 0.3125152756 -2.505335e-01 0.1384041801
## [506,] -1.7751741970 -0.2222071324 0.8475161293 1.851318e-01 1.0135269282
## [507,] 0.8486132155 -0.3860794448 -0.1622323792 5.116620e-01 0.1836565095
## [508,] 0.3456064706 -0.2851692939 0.0459332700 3.433976e-01 0.0627139742
## [509,] 0.2518000659 1.1954389358 0.4421932423 -2.034747e-01 0.1215561632
## [510,] 0.1206901389 1.0176979663 0.9104759364 1.657786e-01 0.8615335850
## [511,] 1.0870301974 1.1524956613 0.3806723152 -3.901034e-01 0.0299590044
## [512,] 1.9915955108 0.1165060177 0.4511142344 1.139943e+00 0.3843592332
## [513,] 0.7547523654 1.6782972652 0.2917541561 5.614990e-01 0.1290519072
## [514,] 0.0445324186 0.8788400774 0.0726169391 6.595768e-01 0.1001672001function in R –> principal
pc <- principal(data_num, nfactors = 3, rotate = "none")
pc## Principal Components Analysis
## Call: principal(r = data_num, nfactors = 3, rotate = "none")
## Standardized loadings (pattern matrix) based upon correlation matrix
## PC1 PC2 PC3 h2 u2 com
## X1 -0.81 0.29 0.31 0.84 0.161 1.6
## X2 0.80 0.04 0.28 0.73 0.274 1.2
## X3 0.85 0.27 -0.09 0.81 0.191 1.2
## X4 0.95 0.07 0.03 0.92 0.085 1.0
## X5 0.71 0.12 -0.34 0.62 0.375 1.5
## X6 0.77 -0.16 0.23 0.67 0.330 1.3
## X7 0.64 0.01 0.40 0.57 0.432 1.7
## X9 -0.61 0.17 -0.42 0.57 0.426 2.0
## X10 0.44 0.77 -0.17 0.82 0.183 1.7
## X11 -0.66 0.44 0.45 0.83 0.166 2.6
##
## PC1 PC2 PC3
## SS loadings 5.44 1.02 0.92
## Proportion Var 0.54 0.10 0.09
## Cumulative Var 0.54 0.65 0.74
## Proportion Explained 0.74 0.14 0.12
## Cumulative Proportion 0.74 0.88 1.00
##
## Mean item complexity = 1.6
## Test of the hypothesis that 3 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.05
## with the empirical chi square 134.26 with prob < 8.1e-20
##
## Fit based upon off diagonal values = 0.99L <- as.matrix(pc$loadings) # loadings
lambda <- pc$values # eigenvalues
# ambil hanya nfactors yang dipakai
lambda_k <- lambda[1:ncol(L)]
# hitung eigenvector
V <- sweep(L, 2, sqrt(lambda_k), "/")
V##
## Loadings:
## PC1 PC2 PC3
## X1 -0.348 0.286 0.325
## X2 0.345 0.294
## X3 0.366 0.266
## X4 0.409
## X5 0.302 0.116 -0.351
## X6 0.330 -0.161 0.236
## X7 0.274 0.419
## X9 -0.260 0.164 -0.440
## X10 0.188 0.763 -0.179
## X11 -0.284 0.438 0.466
##
## PC1 PC2 PC3
## SS loadings 1.0 1.0 1.0
## Proportion Var 0.1 0.1 0.1
## Cumulative Var 0.1 0.2 0.3scores = scale_data %*% as.matrix(V)
scores## PC1 PC2 PC3
## [1,] -1.228898280 -0.607766006 0.8011248260
## [2,] -1.600267004 0.836068298 2.1900598750
## [3,] -0.824664260 -0.907987781 0.8736116058
## [4,] -0.461939967 -0.532110427 0.2417186149
## [5,] -0.359164500 -0.691164443 0.5794029240
## [6,] 0.457691491 -0.152372722 0.1878207996
## [7,] 0.604859533 -0.570188069 1.6192003083
## [8,] 0.976118763 -0.548191260 0.9095090671
## [9,] -0.389286766 -0.253041310 1.0439465173
## [10,] 0.664079974 -0.480433952 0.4950881780
## [11,] 0.098113451 -0.585454377 1.2179910965
## [12,] -0.509427130 -0.866740065 1.5612715179
## [13,] -1.954556510 -0.006776980 -0.3639710626
## [14,] 0.069135539 -0.728734703 0.3742827040
## [15,] -0.299385703 -0.476988462 0.7118480073
## [16,] -0.298383928 -0.542312737 0.1412789762
## [17,] 0.244954937 0.075707878 0.1937484953
## [18,] 0.722186948 -0.387429136 1.3349450291
## [19,] 4.180435663 0.180200404 1.2037776387
## [20,] 1.764961541 -0.385059240 1.3140757579
## [21,] 1.917634872 -0.374759374 0.9904721596
## [22,] 2.133194675 -0.398518122 0.9440729008
## [23,] -1.816156259 -0.910614846 0.3661071023
## [24,] -3.833214311 0.035127825 -2.9058485348
## [25,] -1.582149918 -0.417891856 -0.3434895132
## [26,] -0.909471826 -0.136819702 -0.8832318184
## [27,] -1.004131871 -0.169845901 -0.8447277974
## [28,] 0.488878479 -0.046943940 -0.6011696959
## [29,] 1.247826358 -0.053324557 -0.3061483072
## [30,] 1.278642608 -0.352348741 0.5854080437
## [31,] 1.015416132 -0.412859548 0.7329179127
## [32,] 1.438640487 -0.003035345 0.0296818816
## [33,] 0.302336409 -0.219097843 -0.7756382137
## [34,] 0.949510035 0.274469797 -1.0419098153
## [35,] 2.518974466 0.455425153 0.0964245609
## [36,] 0.630284087 -0.071482250 0.0563666422
## [37,] -3.253195689 -0.133370924 -1.6800617610
## [38,] -0.152356115 -0.496990592 -0.5423409754
## [39,] -1.184763512 -0.592566084 -1.1284647234
## [40,] -0.510080737 -0.278142293 -1.3831149861
## [41,] 1.016415415 -0.497978311 0.5084450993
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## [344,] -0.060978786 -0.422838327 -1.1815768458
## [345,] 0.030479535 -0.509897033 -1.1721359856
## [346,] -1.358583587 -0.571252211 -1.4639864708
## [347,] 0.520428580 -0.560173621 -0.9688336667
## [348,] 0.111732419 -0.693225816 -0.5277882473
## [349,] 0.390533670 -0.679331328 0.0592614407
## [350,] -0.513332046 -1.020419157 0.1900096878
## [351,] 0.943520399 -0.437078949 -0.6388289768
## [352,] 0.493323851 -0.488105014 -1.0943746219
## [353,] -0.045339036 -0.528713969 -0.8855506035
## [354,] 2.764606147 -0.130363600 0.5450250402
## [355,] 2.560953714 -0.324163698 0.0526327639
## [356,] 0.725928748 0.005565112 -0.8617891010
## [357,] 0.404516281 -0.148995609 -1.1015931497
## [358,] 1.675882390 1.343851748 -0.6981869848
## [359,] 1.474418824 0.982432857 -0.6946915558
## [360,] 1.907600550 -0.115464283 -0.1312053824
## [361,] 0.858464896 -0.501968412 -0.4725936074
## [362,] -0.823637822 -0.686035006 -1.4893316932
## [363,] 3.807101168 1.037040562 -0.0603402321
## [364,] 3.421600944 0.392553728 0.1043496577
## [365,] 3.669089947 0.586548256 -0.0247972209
## [366,] 0.247823375 -0.374121078 -0.9646790854
## [367,] 0.743619481 -0.516513623 -0.3702481689
## [368,] 0.317996344 -1.043930586 -0.2099252792
## [369,] -0.056752478 -0.863786659 -0.2609116338
## [370,] 2.094904148 -0.170150994 0.1977025566
## [371,] 0.323951449 -0.805119447 0.1743687368
## [372,] 1.998617700 -0.493657275 0.6037280744
## [373,] 0.867084867 -0.576032428 0.4576478320
## [374,] 0.022658973 -0.569388500 -0.5656374898
## [375,] 1.210054991 -0.601263398 0.5340274819
## [376,] 1.799052250 -0.606312035 0.4982221113
## [377,] -0.227657025 -0.954664147 0.0914153360
## [378,] 0.759514009 -1.096094308 0.7700763037
## [379,] 0.821180857 -0.590061928 0.6305055464
## [380,] -0.671028807 -1.039128173 1.0859776826
## [381,] -0.280456472 -0.928913501 0.0380368875
## [382,] 3.107004948 -0.077836246 0.9046663892
## [383,] 2.014493465 -0.513688082 0.6370703068
## [384,] 2.685315056 -0.811808057 1.0976546516
## [385,] 1.421818432 -0.623141946 0.4514057356
## [386,] -0.895183760 -0.758711980 0.4750127466
## [387,] 0.545868503 -0.383204856 -0.2594153333
## [388,] 0.954939324 0.367757673 0.5831722504
## [389,] 0.239070109 -0.307655193 0.1210133945
## [390,] -1.081660425 -0.504562777 0.3679690158
## [391,] -0.728909042 -0.814287070 0.7007851292
## [392,] -0.413972202 -0.622062316 0.3007722894
## [393,] -1.399920291 -0.420594587 0.0534217280
## [394,] -1.364401528 -0.537653914 0.3277183924
## [395,] -0.409603838 -0.562492827 -0.2489471778
## [396,] -0.813294286 -0.914730899 1.0529162167
## [397,] -0.191010744 -0.505317698 0.0827067621
## [398,] 3.162369236 0.021506329 0.8008450342
## [399,] -0.393143152 -0.633539256 0.1130190939
## [400,] 0.502613255 -0.824858331 0.2257092335
## [401,] 0.074624638 -0.269467425 -0.6961055342
## [402,] -0.806362155 -0.724079783 0.5318363309
## [403,] 0.302274759 -0.860400225 0.4915541053
## [404,] 0.789208437 -0.692806952 0.1234840603
## [405,] -0.243202175 -0.740722750 -0.0902827514
## [406,] 0.732588175 -0.719411444 0.4734341714
## [407,] 0.188533916 -0.362735417 0.6609554383
## [408,] 1.246973195 -0.942915609 1.0477346019
## [409,] -0.129950841 -0.727637546 0.4178642161
## [410,] 0.888316532 -1.064564090 0.7928972041
## [411,] 0.696740194 -0.692833439 0.1339541159
## [412,] 1.730377911 -0.901527852 0.7587936463
## [413,] 1.342989223 -0.712187636 0.7497657885
## [414,] 0.387024561 -0.303805478 -0.5437211974
## [415,] 0.512636648 -0.555715374 0.2561815660
## [416,] -0.501980768 -0.440397729 -1.2412907416
## [417,] 0.512478577 -0.541647637 0.5025492100
## [418,] 1.078087069 -0.175359311 -0.7046082331
## [419,] -0.078302623 -0.574399087 -0.8029488653
## [420,] 4.368036844 1.782394610 0.4859382258
## [421,] 2.679109156 -0.397160959 0.5498629611
## [422,] 2.626959705 -0.480146836 1.1101674790
## [423,] -0.430704631 -0.934414112 0.8140902355
## [424,] 0.008943214 -0.665151774 0.3676475493
## [425,] 0.531049918 -0.412365104 0.1520171899
## [426,] 1.039283605 0.038523006 -0.1556638119
## [427,] -0.199483406 -0.446320835 -0.4364416948
## [428,] -0.447418339 -0.716346154 -0.1089885567
## [429,] 0.027145605 -0.475306334 0.1770220115
## [430,] -0.274738695 -0.156812144 -0.7021515473
## [431,] -0.647375974 -0.388934958 -0.2776633351
## [432,] -0.156967383 -0.446532374 0.0038713691
## [433,] -0.261305359 -0.518237212 -0.3520433912
## [434,] -0.693867269 -0.669674748 0.8208235982
## [435,] -0.892292332 -0.640711030 -0.1764603211
## [436,] -0.790039749 -1.021675765 0.8249042369
## [437,] -0.956213967 -0.809465259 0.2781208208
## [438,] 3.847326368 -0.004289347 0.6502906323
## [439,] 1.960632136 -0.552857364 0.6656723093
## [440,] -0.855089973 -0.440905474 0.4043402911
## [441,] -0.562780290 -0.466305285 0.6962657430
## [442,] -1.106153534 -0.430107328 0.6138463852
## [443,] -0.012019368 -0.434633053 0.6599255812
## [444,] -1.180777333 -0.653032666 0.4018312836
## [445,] 2.504321356 -0.499095130 0.5905267023
## [446,] -0.484030487 -0.810657448 1.4420271723
## [447,] -1.377357690 -0.822444778 0.7221230160
## [448,] -2.226923450 -0.302530384 -2.5397715991
## [449,] -0.215321206 -0.746455234 -0.2741069208
## [450,] 0.116219482 -0.772471712 -0.1016356960
## [451,] -0.628259661 -0.967882264 -0.5690492645
## [452,] -2.500846339 0.713539908 3.3041583770
## [453,] -1.545076826 0.634761852 3.2292501830
## [454,] 0.052408778 -0.346377674 1.3324686001
## [455,] -0.452850919 -0.291055374 0.6120779773
## [456,] -3.287684808 1.101108259 2.5329131165
## [457,] -2.772947115 1.109432239 2.6055711970
## [458,] -2.908784083 0.897255967 2.6976117424
## [459,] -3.235997578 1.001849607 2.7140289480
## [460,] -1.646332126 -0.486112822 -0.0229147576
## [461,] 3.294077023 -0.315378537 1.1148065128
## [462,] -1.109040459 0.613602512 3.6713408231
## [463,] -0.499991298 -1.135082090 0.6884564943
## [464,] -0.657512946 -1.024773495 1.1237381343
## [465,] -0.750213648 -1.408602349 0.9842288299
## [466,] -1.037033998 -1.033046825 -0.0787185612
## [467,] -0.018076967 -1.073936510 0.0121608809
## [468,] -0.965564956 -0.718705729 -0.1733626642
## [469,] -1.241253639 -1.278621930 -0.3063037101
## [470,] -2.159281038 -1.333992667 -0.1708014297
## [471,] 3.385326371 -0.638452437 1.2654401384
## [472,] 0.986688810 -1.048477090 0.7691194132
## [473,] -1.858805687 1.126931852 2.1542231321
## [474,] -1.440036781 -0.578089656 0.1360533004
## [475,] -5.424834032 1.164907042 0.6026407327
## [476,] -2.611025973 1.434878669 3.1388286545
## [477,] -0.844076965 1.377999464 1.7064477266
## [478,] -4.316216457 1.046863536 -0.2083803088
## [479,] -1.507932878 -0.312904212 1.1025747625
## [480,] -2.776904632 0.706191048 1.6487117849
## [481,] -6.303553020 0.766616221 1.0104060040
## [482,] -5.150113606 1.129044904 0.3899449532
## [483,] -3.927496016 1.063505005 1.1108500015
## [484,] -5.164466814 0.444177774 -1.5557546749
## [485,] 2.298492826 -0.020635508 1.2063020918
## [486,] -1.061695635 0.815026877 1.1409211026
## [487,] -5.932710508 0.546017283 -1.2964645464
## [488,] -0.819950657 0.943948786 1.6140549382
## [489,] -1.367878163 1.252140860 2.2133323293
## [490,] -1.836599043 1.047556482 2.4108916749
## [491,] -0.743542708 1.259519038 2.7881952331
## [492,] -6.605325051 2.268223260 -0.3055924231
## [493,] -7.345929477 1.874377387 -0.3034257440
## [494,] 1.652256394 0.782734234 0.3218699098
## [495,] -2.975289620 -0.416768788 -0.1582527564
## [496,] -4.581130060 0.830940132 1.1527883273
## [497,] -5.957852921 0.939194306 1.4537163316
## [498,] -7.761057884 1.804101900 -0.8745703917
## [499,] -7.071237961 1.385462076 -0.2250084159
## [500,] -8.704082729 1.778739250 -2.6418878055
## [501,] -1.159518938 -0.893330699 0.5460548047
## [502,] -1.655813394 -0.286478002 -0.6601497944
## [503,] -2.115796312 0.634411695 3.3394886262
## [504,] -3.942217277 1.118544360 2.0744015835
## [505,] -5.509319224 0.304356159 2.4205661914
## [506,] -11.634558505 1.462323519 -2.1396397063
## [507,] -9.448096342 2.099504577 -2.9411870230
## [508,] -9.617996621 1.944826398 -2.8431429707
## [509,] -8.205751239 1.874646907 -1.5116858902
## [510,] -7.955871112 1.799586752 -0.5248602557
## [511,] -6.047521935 1.409509465 0.1202870916
## [512,] -8.224022058 1.792857209 -0.6116755300
## [513,] -7.663261124 1.961769140 0.1335786995
## [514,] 2.734568727 0.271759157 0.9617951300function in R –> FactoMineR
pca_result <- PCA(scale_data,
scale.unit = TRUE,
graph = FALSE,
ncp=ncol(data)) # ncp kita set agar menghasilkan output semua dimensi (default 5)
# menampilkan ringkasan hasil pca
pca_result$eig # vs print(cumvar)## eigenvalue percentage of variance cumulative percentage of variance
## comp 1 5.43531550 54.3531550 54.35315
## comp 2 1.02202038 10.2202038 64.57336
## comp 3 0.91907751 9.1907751 73.76413
## comp 4 0.72322243 7.2322243 80.99636
## comp 5 0.62157618 6.2157618 87.21212
## comp 6 0.44685103 4.4685103 91.68063
## comp 7 0.36988322 3.6988322 95.37946
## comp 8 0.25113771 2.5113771 97.89084
## comp 9 0.19228580 1.9228580 99.81370
## comp 10 0.01863024 0.1863024 100.00000pca_result$svd$V # vs pc$vectors## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] -0.3481279 0.285725756 0.32530540 0.19350672 0.01620217 -0.10706230
## [2,] 0.3445674 0.038327998 0.29403391 -0.01018222 0.51702300 0.06277789
## [3,] 0.3658630 0.266193248 -0.09651537 -0.02456942 0.23107580 0.13486801
## [4,] 0.4090081 0.070830715 0.03032041 0.11209605 0.27885976 -0.10835701
## [5,] 0.3024809 0.115748381 -0.35148657 0.44725850 -0.11720760 -0.67809950
## [6,] 0.3300834 -0.161087637 0.23602521 0.24217862 0.03058611 0.36765164
## [7,] 0.2735868 0.006783326 0.41908134 0.37479845 -0.64348032 0.15887607
## [8,] -0.2602446 0.164213617 -0.43996526 0.62759487 0.18898525 0.48947156
## [9,] 0.1879240 0.763160872 -0.17921680 -0.34236417 -0.28481089 0.20547264
## [10,] -0.2838920 0.438454520 0.46574450 0.19755811 0.23599405 -0.22942601
## [,7] [,8] [,9] [,10]
## [1,] 0.05423277 0.267509884 0.75343861 0.001412699
## [2,] -0.27718121 0.529089647 -0.15047258 0.377602327
## [3,] -0.17068549 -0.660898140 0.37660538 0.325621938
## [4,] -0.13681088 0.007772712 0.10749742 -0.833290570
## [5,] 0.18000416 0.122922248 -0.01810170 0.223895187
## [6,] 0.78212394 -0.001624945 0.04530858 0.029337873
## [7,] -0.40271865 -0.041092826 -0.07341155 0.020795959
## [8,] -0.14759221 0.087954646 -0.10879793 -0.034749883
## [9,] 0.16132459 0.262889788 -0.10679941 -0.055309483
## [10,] 0.13515872 -0.343522401 -0.47464519 -0.036369439pca_result$ind['coord'] # vs head(scores)## $coord
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5
## 1 -1.230095453 -0.608358082 0.8019052693 -0.213331392 0.052271598
## 2 -1.601825959 0.836882783 2.1921933970 -0.307042303 0.826460453
## 3 -0.825467635 -0.908872329 0.8744626646 -1.800817957 -0.004237173
## 4 -0.462389982 -0.532628800 0.2419540934 -0.229573199 0.165244133
## 5 -0.359514393 -0.691837764 0.5799673693 -1.222048338 -0.513146765
## 6 0.458137367 -0.152521161 0.1880037717 1.026343352 0.700455827
## 7 0.605448778 -0.570743537 1.6207777079 -0.532384436 -0.195002333
## 8 0.977069683 -0.548725299 0.9103950966 -0.567420338 0.581598345
## 9 -0.389666004 -0.253287819 1.0449635136 -1.224916089 -0.201405822
## 10 0.664726911 -0.480901984 0.4955704851 0.205270896 -0.262610332
## 11 0.098209032 -0.586024717 1.2191776444 -0.904714839 -0.718492695
## 12 -0.509923406 -0.867584430 1.5627924842 -1.505261455 -0.802467523
## 13 -1.956460608 -0.006783582 -0.3643256376 0.236681021 0.201360220
## 14 0.069202890 -0.729444625 0.3746473244 -0.140670406 -0.015304691
## 15 -0.299677360 -0.477453137 0.7125414785 -0.210871963 -0.432028518
## 16 -0.298674609 -0.542841050 0.1414166079 0.170231373 0.193676369
## 17 0.245193568 0.075781631 0.1939372421 1.250448220 0.823339335
## 18 0.722890492 -0.387806564 1.3362455116 -0.607401692 -0.224905504
## 19 4.184508178 0.180375953 1.2049503401 0.280965382 1.771329613
## 20 1.766680939 -0.385434359 1.3153559099 0.247225889 0.639808115
## 21 1.919503002 -0.375124458 0.9914370621 0.328424413 0.807120194
## 22 2.135272800 -0.398906352 0.9449926019 0.250507294 0.677933420
## 23 -1.817925530 -0.911501952 0.3664637581 -1.799318768 0.472204007
## 24 -3.836948568 0.035162046 -2.9086793670 -0.306449815 0.355626940
## 25 -1.583691224 -0.418298960 -0.3438241353 -1.790633800 0.522476880
## 26 -0.910357820 -0.136952989 -0.8840922490 -1.036836398 1.329655170
## 27 -1.005110081 -0.170011363 -0.8455507180 -0.374784825 0.984943277
## 28 0.489354737 -0.046989672 -0.6017553460 1.374504142 1.047045297
## 29 1.249041971 -0.053376505 -0.3064465521 1.573946496 0.991287203
## 30 1.279888241 -0.352691994 0.5859783391 -0.591075223 -0.287421560
## 31 1.016405334 -0.413261749 0.7336319098 -0.576689013 -0.489669253
## 32 1.440041988 -0.003038302 0.0297107973 0.896420986 -0.065786717
## 33 0.302630941 -0.219311285 -0.7763938283 1.853789027 0.703069789
## 34 0.950435033 0.274737181 -1.0429248276 1.920869135 0.967976822
## 35 2.521428412 0.455868821 0.0965184962 -0.005901070 -0.123000049
## 36 0.630898100 -0.071551887 0.0564215537 -0.072989512 -0.223199937
## 37 -3.256364901 -0.133500852 -1.6816984509 -1.030424194 -0.551261455
## 38 -0.152504538 -0.497474752 -0.5428693155 1.766128279 0.382055901
## 39 -1.185917690 -0.593143353 -1.1295640560 1.116312316 1.272383074
## 40 -0.510577649 -0.278413255 -1.3844623950 1.505596254 1.431709693
## 41 1.017405591 -0.498463433 0.5089404186 -0.014247218 -0.475881265
## 42 0.146871423 -0.280093853 0.4405565862 0.057779546 -0.659165136
## 43 -0.486458858 -0.277185644 -0.6316230021 0.055620263 0.865246180
## 44 -0.824361732 -0.442018550 -0.6863516524 -0.247658429 0.522954758
## 45 0.825585422 -0.366109823 0.1040231221 -0.461777025 0.216275889
## 46 0.732790101 -0.263949408 0.0369919814 -0.390648684 -0.033638876
## 47 -4.059586084 1.238002070 0.2935022573 0.354244124 0.794179106
## 48 -4.469879325 1.476206978 0.0851295465 1.290040555 0.407891797
## 49 0.087261807 0.179428659 -0.2232516926 -0.189464956 0.617122594
## 50 0.081756773 -0.659404126 1.1228697396 -0.847988845 0.427348687
## 51 2.546586762 -0.099719264 0.3539173324 1.006891592 0.718921616
## 52 2.035256157 -0.331581680 0.7446098094 0.590414685 0.445798557
## 53 3.931805444 2.307928347 0.2837407079 -0.737320748 0.072195626
## 54 2.458333238 -0.660713512 0.8464616245 0.230006805 0.236041133
## 55 0.271930500 -0.253484573 -0.9195274411 -1.171551495 2.353975408
## 56 -0.790044005 -0.348329858 -0.2351074348 -0.925182660 0.039768564
## 57 -3.024112094 -0.669262853 -1.3810354829 -0.117300555 0.691553406
## 58 0.062836953 -0.613240250 -0.5558400119 -0.488324781 0.063795552
## 59 -0.715993545 -0.277050873 -1.0117522672 -0.601728574 0.076620277
## 60 -0.648516067 -0.701194361 -0.7482372412 -1.073222064 0.790993016
## 61 0.409078178 -0.437515507 -0.5616237200 -0.614940156 -0.027344598
## 62 0.108750954 -0.406204636 -0.3224786076 -0.941870962 -0.312961441
## 63 0.935809362 -0.485241826 -0.2765224139 0.021690293 -0.111964413
## 64 -0.610038018 -0.363416106 -1.2481671799 -0.584085233 0.459913901
## 65 -1.045995204 -0.619038205 -0.5875320462 -0.878793630 -0.288061094
## 66 -0.461594061 -0.463843155 -0.6999584038 -0.375885762 0.218333415
## 67 0.442654366 -0.383266058 -1.1347352161 0.216256464 0.845968087
## 68 -0.222604790 -0.711175848 -0.1697710964 -0.781000943 -0.122293999
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## 514 2.737232701 0.272023901 0.9627320958 -0.045446082 1.054076494
## Dim.6 Dim.7 Dim.8 Dim.9 Dim.10
## 1 0.7450013474 -0.5381245991 1.2259037525 2.736374e-01 0.0509096448
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## 8 -0.4620939973 0.2549965814 0.8155764444 3.426425e-01 -0.0210458592
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## 13 0.8103615059 -1.5851132268 0.6124233299 5.151502e-01 -0.2102789275
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## 35 0.3775088043 0.1794053037 0.1771783084 -5.394707e-01 0.0554494015
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## 38 1.4998859294 -0.1031264385 1.0886598699 -7.425560e-01 0.0603456827
## 39 2.2283371415 0.2115288224 0.7924074155 -6.497362e-01 -0.1312239667
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## 413 -0.3701279460 0.6987414375 -0.7990344552 3.580220e-01 -0.0010672033
## 414 0.1152111602 0.5152876548 0.1597776698 3.543894e-01 -0.0940100834
## 415 -0.3462620078 0.6066202450 0.0563871534 3.428688e-01 -0.0417835867
## 416 -0.2139556552 0.6933533782 1.0457628266 -2.866143e-01 -0.0510224654
## 417 0.0749319779 0.7418939680 -0.5520104243 7.491413e-01 0.0482237038
## 418 0.5595427254 0.3745110052 -0.4953216413 2.586145e-02 0.0349052547
## 419 -0.5924339485 0.9684866243 0.6926181735 -7.766441e-02 -0.0180470821
## 420 0.1184164519 -0.2749329313 -0.3140578218 1.893473e-01 0.0220475794
## 421 0.2690400795 -0.2540143033 -0.3399504469 -4.845334e-02 0.0692393383
## 422 -0.4015203675 -0.2859600323 -0.0830680987 2.300154e-01 0.0333763159
## 423 -0.0935180623 0.0619826417 0.4913730501 -5.648584e-03 -0.0152453603
## 424 -0.3486204691 0.0878051810 0.5680161525 5.463137e-02 -0.0385973701
## 425 0.1787537307 0.2741799758 0.3989608684 2.265540e-01 0.0504650168
## 426 0.0687314905 0.1180457783 -0.1769247941 5.203723e-01 0.0584207269
## 427 -0.0481123706 0.0005061382 0.2942323832 -1.156004e-01 0.0409677922
## 428 0.5191588869 0.0924491997 0.3430320203 -3.156351e-01 0.1340850232
## 429 0.0784157221 0.1308907964 0.3043570171 3.162172e-01 -0.0749944946
## 430 0.8386828782 0.0886880888 0.2067774652 1.994558e-01 0.0329045925
## 431 0.0079957733 -0.5396802906 1.0735504135 -1.464441e-01 0.0945962308
## 432 0.0036739523 -0.1349938402 0.6773643340 1.906557e-01 0.0389841898
## 433 -0.0435711469 0.5016767251 0.6920384035 -3.122317e-02 0.0726616950
## 434 0.3376193720 -0.3025148510 1.3396538521 5.240357e-02 0.3069350323
## 435 -0.0613312574 -0.0957544490 0.4236920614 -7.254969e-02 0.0440083374
## 436 0.0595060130 0.6433172896 0.3550788957 2.595250e-01 0.0233438894
## 437 0.8607379653 0.2944663045 0.5010547561 -4.768296e-02 -0.0213466144
## 438 -0.3247046034 -0.5889021658 0.2480318456 -1.119912e-01 -0.0382681907
## 439 0.2628772629 -0.1566250905 0.6602837162 -3.637005e-01 -0.0319476211
## 440 -0.4591935749 -0.1722497022 0.0445830489 7.849278e-01 -0.0160376464
## 441 0.0516733150 -0.0221448985 -0.0478049986 7.444950e-01 -0.1030739237
## 442 1.1173005854 -0.3293401323 -0.3700828735 8.309166e-01 -0.0410243751
## 443 -0.1630018616 -0.3887813408 0.0392789192 6.550701e-01 -0.0920955396
## 444 0.6086943689 0.1923851294 -0.0672696984 6.206547e-01 -0.0399058094
## 445 -0.3677678269 -0.1988353503 -0.0646839102 -1.498581e-01 0.0260966886
## 446 1.4076943722 -0.5564307978 -0.0397519981 3.706024e-01 -0.0260642787
## 447 1.4842666389 0.3884505405 0.0241962567 3.732726e-01 -0.1320747340
## 448 -0.3662558647 0.8213765871 0.8541228880 3.506376e-02 -0.0483592935
## 449 0.5358757638 0.1144878484 -0.1259433621 -3.632301e-01 -0.1002032593
## 450 0.8454201772 -0.2331616106 -0.6453850703 -4.274134e-01 0.0816695076
## 451 0.3414613883 0.5035540016 -0.0050239565 -5.131479e-01 -0.0108750777
## 452 0.4625995102 0.3913441562 0.6193877904 -4.828505e-01 0.2552228560
## 453 -0.1026802910 0.4634465433 0.1823792444 -6.494642e-01 0.1239834935
## 454 0.0198782050 -0.5329240035 0.5161731463 9.790856e-01 -0.0370193682
## 455 0.6438645362 -0.9449122719 0.1794181473 6.110101e-01 -0.0151364518
## 456 -0.6360776988 -1.1993229750 -0.0297791606 -3.000997e-01 0.0014431417
## 457 0.6344192178 -0.7411885942 -0.2830540186 -3.272048e-01 -0.1646683389
## 458 0.8918809491 -0.4556778861 -0.7975212870 -3.059890e-01 -0.1167029495
## 459 1.1449317411 0.2538719975 0.2721969374 -2.094131e-01 0.0443363561
## 460 0.6972075403 -1.0551401560 0.5830685950 -8.105547e-05 -0.0072745133
## 461 -0.1125997048 -0.8018678937 -0.0005139751 -6.170638e-02 0.0497512850
## 462 -0.5630144770 0.2092890416 0.4500477948 -6.180519e-01 0.1030885167
## 463 0.2955989807 -0.3372806741 0.3584628590 -5.362155e-01 0.0546872702
## 464 0.6140567511 0.0849417288 0.5538119515 4.486789e-02 0.0909175020
## 465 0.8887987163 0.0847699370 0.5449751674 -6.540269e-01 0.1885867892
## 466 0.4066412064 -0.9037560267 0.2933902362 -1.053702e+00 0.0443006908
## 467 -0.5110550937 -0.2545295217 0.4388656588 -8.806616e-01 0.0235933573
## 468 -0.6959420403 0.4246161366 0.6018186169 2.966088e-01 0.0421411938
## 469 0.1034679704 0.2488873645 0.3320903718 -8.705085e-01 0.0672953050
## 470 1.0385829977 -0.0392808399 0.2966821505 -7.853732e-01 0.0537844278
## 471 -0.1922761714 -0.2906795786 -0.0070236527 -2.596497e-01 0.0544523837
## 472 0.2134283879 -0.0219241199 0.7068928929 -7.281448e-01 0.0501035922
## 473 -0.6583037450 -0.4166496480 0.1778378184 -7.587661e-01 -0.2032341313
## 474 1.2570888764 -0.3472626643 0.6417410404 1.300155e-01 0.0558899609
## 475 0.3017102685 1.3923263029 -0.3305409551 5.913023e-01 -0.1816499710
## 476 0.7935838323 0.1616798326 -0.5603051462 3.874052e-01 -0.0897927111
## 477 -0.2383767211 0.5325897773 -1.1512154426 -1.479424e-01 -0.2204758243
## 478 -0.5189815250 -0.1546627362 -0.0038827181 -1.304724e+00 -0.2021583331
## 479 0.4950047680 0.4396413639 1.1634030450 1.346793e+00 -0.0250138016
## 480 -0.6528384541 -0.1240905261 -0.5755372515 -1.031937e+00 -0.0409268127
## 481 0.5587091286 1.9339467143 -0.0874512218 3.623423e-01 -0.0671414501
## 482 0.0836474025 1.5639815924 0.5108654703 -2.934682e-02 -0.1297062266
## 483 0.7080309828 1.4984316323 0.2862703982 -3.725817e-01 0.0273343354
## 484 1.2526332025 -0.7586931019 1.2849603447 1.349586e+00 0.0606576819
## 485 -0.4068054046 -0.2900814764 0.1586269460 1.006196e+00 0.1341592476
## 486 -0.0823559060 0.6534317356 -0.9804622901 -1.435225e+00 -0.2897918244
## 487 1.1583033027 -1.0664901176 0.6328286553 2.279397e+00 -0.3613882194
## 488 -0.5021716009 -0.0567954685 -0.4709543980 -1.358649e+00 -0.1983050760
## 489 -0.0821145341 0.3860457177 0.2665928920 -4.857360e-01 0.1071980161
## 490 -1.5093905179 0.2888058168 0.4051549368 -2.721977e-01 0.0881229699
## 491 -0.3592543275 -0.0742069922 0.1209239377 -2.809516e-01 -0.0904520802
## 492 -0.6068640259 -2.1500286606 -0.2248368147 2.965887e-01 -0.1277347548
## 493 0.1601340976 -1.2376487676 -0.3565131378 6.287670e-02 0.4253101688
## 494 -0.3955956726 0.0274973624 0.7821836864 3.775588e-01 0.1267674992
## 495 2.0329929849 -0.6357201017 0.8653670923 4.104026e-01 0.1751502055
## 496 -1.9350636140 0.3385591036 -0.3731615972 -1.812176e-01 0.0884534986
## 497 1.3699499720 -1.4880754646 -0.8493641787 -9.178977e-01 0.1544221323
## 498 -0.9161415898 -0.2271054845 0.0218308599 4.067826e-01 0.4601085263
## 499 0.4402166776 -0.3655743972 -0.8901660125 -3.481009e-01 0.6157713552
## 500 -1.0057583870 0.2420511722 -0.1895181987 1.212568e-02 0.1874544373
## 501 0.3402670525 -0.4531700268 0.9584704089 -2.822847e-01 0.2412724176
## 502 0.6291051051 -0.6375664324 0.3789195142 2.767900e-01 -0.0523002764
## 503 -1.3654136383 1.3786265232 0.4334135158 2.145013e-01 0.1597130178
## 504 -0.8713484015 1.8288995118 1.0952219079 7.851426e-01 0.1265460061
## 505 0.6299387477 1.0190712968 -0.3128197231 -2.507776e-01 0.1385390113
## 506 1.7769035439 0.2224236031 -0.8483417663 1.853122e-01 1.0145142903
## 507 -0.8494399213 0.3864555573 0.1623904235 5.121604e-01 0.1838354248
## 508 -0.3459431551 0.2854471013 -0.0459780175 3.437322e-01 0.0627750692
## 509 -0.2520453656 -1.1966035137 -0.4426240201 -2.036729e-01 0.1216745813
## 510 -0.1208077134 -1.0186893917 -0.9113629078 1.659401e-01 0.8623728775
## 511 -1.0880891653 -1.1536184046 -0.3810431602 -3.904834e-01 0.0299881899
## 512 -1.9935356920 -0.1166195161 -0.4515537029 1.141054e+00 0.3847336700
## 513 -0.7554876334 -1.6799322361 -0.2920383784 5.620460e-01 0.1291776276
## 514 -0.0445758013 -0.8796962297 -0.0726876814 6.602194e-01 0.1002647814pca_result$var## $coord
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5 Dim.6
## X1 -0.8116171 0.288854521 0.31186551 0.164562927 0.01277381 -0.07156784
## X2 0.8033163 0.038747698 0.28188599 -0.008659213 0.40762146 0.04196508
## X3 0.8529643 0.269108127 -0.09252787 -0.020894446 0.18218040 0.09015511
## X4 0.9535519 0.071606328 0.02906773 0.095329264 0.21985332 -0.07243332
## X5 0.7051967 0.117015853 -0.33696501 0.380359749 -0.09240659 -0.45328861
## X6 0.7695487 -0.162851584 0.22627390 0.205954722 0.02411412 0.24576379
## X7 0.6378338 0.006857605 0.40176712 0.318737918 -0.50732055 0.10620376
## X9 -0.6067282 0.166011795 -0.42178823 0.533722279 0.14899616 0.32719665
## X10 0.4381216 0.771517664 -0.17181252 -0.291154997 -0.22454520 0.13735212
## X11 -0.6618592 0.443255701 0.44650241 0.168008327 0.18605795 -0.15336422
## Dim.7 Dim.8 Dim.9 Dim.10
## X1 0.03298330 0.1340589440 0.330385878 0.0001928231
## X2 -0.16857614 0.2651460883 -0.065982835 0.0515399410
## X3 -0.10380755 -0.3312001237 0.165142983 0.0444450000
## X4 -0.08320567 0.0038951892 0.047138052 -0.1137380350
## X5 0.10947498 0.0616008147 -0.007937671 0.0305600466
## X6 0.47567233 -0.0008143192 0.019867996 0.0040044039
## X7 -0.24492553 -0.0205931113 -0.032191261 0.0028384954
## X9 -0.08976267 0.0440772759 -0.047708330 -0.0047431035
## X10 0.09811443 0.1317436457 -0.046831975 -0.0075493377
## X11 0.08220087 -0.1721515842 -0.208133836 -0.0049641610
##
## $cor
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5 Dim.6
## X1 -0.8116171 0.288854521 0.31186551 0.164562927 0.01277381 -0.07156784
## X2 0.8033163 0.038747698 0.28188599 -0.008659213 0.40762146 0.04196508
## X3 0.8529643 0.269108127 -0.09252787 -0.020894446 0.18218040 0.09015511
## X4 0.9535519 0.071606328 0.02906773 0.095329264 0.21985332 -0.07243332
## X5 0.7051967 0.117015853 -0.33696501 0.380359749 -0.09240659 -0.45328861
## X6 0.7695487 -0.162851584 0.22627390 0.205954722 0.02411412 0.24576379
## X7 0.6378338 0.006857605 0.40176712 0.318737918 -0.50732055 0.10620376
## X9 -0.6067282 0.166011795 -0.42178823 0.533722279 0.14899616 0.32719665
## X10 0.4381216 0.771517664 -0.17181252 -0.291154997 -0.22454520 0.13735212
## X11 -0.6618592 0.443255701 0.44650241 0.168008327 0.18605795 -0.15336422
## Dim.7 Dim.8 Dim.9 Dim.10
## X1 0.03298330 0.1340589440 0.330385878 0.0001928231
## X2 -0.16857614 0.2651460883 -0.065982835 0.0515399410
## X3 -0.10380755 -0.3312001237 0.165142983 0.0444450000
## X4 -0.08320567 0.0038951892 0.047138052 -0.1137380350
## X5 0.10947498 0.0616008147 -0.007937671 0.0305600466
## X6 0.47567233 -0.0008143192 0.019867996 0.0040044039
## X7 -0.24492553 -0.0205931113 -0.032191261 0.0028384954
## X9 -0.08976267 0.0440772759 -0.047708330 -0.0047431035
## X10 0.09811443 0.1317436457 -0.046831975 -0.0075493377
## X11 0.08220087 -0.1721515842 -0.208133836 -0.0049641610
##
## $cos2
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5 Dim.6
## X1 0.6587223 8.343693e-02 0.0972600950 2.708096e-02 0.0001631701 0.005121956
## X2 0.6453171 1.501384e-03 0.0794597098 7.498198e-05 0.1661552580 0.001761068
## X3 0.7275481 7.241918e-02 0.0085614066 4.365779e-04 0.0331896988 0.008127943
## X4 0.9092612 5.127466e-03 0.0008449331 9.087669e-03 0.0483354833 0.005246586
## X5 0.4973024 1.369271e-02 0.1135454171 1.446735e-01 0.0085389777 0.205470563
## X6 0.5922052 2.652064e-02 0.0511998776 4.241735e-02 0.0005814910 0.060399839
## X7 0.4068320 4.702674e-05 0.1614168189 1.015939e-01 0.2573741399 0.011279238
## X9 0.3681191 2.755992e-02 0.1779053127 2.848595e-01 0.0221998570 0.107057648
## X10 0.1919505 5.952395e-01 0.0295195410 8.477123e-02 0.0504205461 0.018865606
## X11 0.4380576 1.964756e-01 0.1993643996 2.822680e-02 0.0346175616 0.023520583
## Dim.7 Dim.8 Dim.9 Dim.10
## X1 0.001087898 1.797180e-02 1.091548e-01 3.718073e-08
## X2 0.028417914 7.030245e-02 4.353735e-03 2.656366e-03
## X3 0.010776007 1.096935e-01 2.727220e-02 1.975358e-03
## X4 0.006923184 1.517250e-05 2.221996e-03 1.293634e-02
## X5 0.011984770 3.794660e-03 6.300662e-05 9.339164e-04
## X6 0.226264168 6.631157e-07 3.947372e-04 1.603525e-05
## X7 0.059988515 4.240762e-04 1.036277e-03 8.057056e-06
## X9 0.008057337 1.942806e-03 2.276085e-03 2.249703e-05
## X10 0.009626442 1.735639e-02 2.193234e-03 5.699250e-05
## X11 0.006756982 2.963617e-02 4.331969e-02 2.464289e-05
##
## $contrib
## Dim.1 Dim.2 Dim.3 Dim.4 Dim.5 Dim.6
## X1 12.119302 8.163920775 10.58236044 3.74448518 0.02625103 1.1462335
## X2 11.872671 0.146903539 8.64559395 0.01036776 26.73127806 0.3941063
## X3 13.385573 7.085884512 0.93152172 0.06036564 5.33960272 1.8189380
## X4 16.728765 0.501699020 0.09193273 1.25655237 7.77627660 1.1741242
## X5 9.149468 1.339768771 12.35428086 20.00401701 1.37376205 45.9818931
## X6 10.895507 2.594922665 5.57078995 5.86504863 0.09355104 13.5167729
## X7 7.484975 0.004601351 17.56291683 14.04738788 41.40669265 2.5241607
## X9 6.772727 2.696611204 19.35694329 39.38753256 3.57154241 23.9582413
## X10 3.531543 58.241451580 3.21186632 11.72132229 8.11172426 4.2219005
## X11 8.059469 19.224236583 21.69179390 3.90292068 5.56931918 5.2636296
## Dim.7 Dim.8 Dim.9 Dim.10
## X1 0.2941193 7.156154e+00 56.76697396 1.995719e-04
## X2 7.6829422 2.799359e+01 2.26419976 1.425835e+01
## X3 2.9133537 4.367864e+01 14.18316137 1.060296e+01
## X4 1.8717216 6.041506e-03 1.15556947 6.943732e+01
## X5 3.2401498 1.510988e+00 0.03276717 5.012905e+00
## X6 61.1717855 2.640447e-04 0.20528674 8.607108e-02
## X7 16.2182312 1.688620e-01 0.53892554 4.324719e-02
## X9 2.1783462 7.736020e-01 1.18369886 1.207554e-01
## X10 2.6025625 6.911104e+00 1.14061147 3.059139e-01
## X11 1.8267880 1.180076e+01 22.52880567 1.322736e-01Visualisasi
# membuat scree plot
fviz_eig(pca_result,
addlabels = TRUE,
ncp = ncol(data),
barfill = "skyblue",
barcolor = "darkblue",
linecolor = "red")## Warning in geom_bar(stat = "identity", fill = barfill, color = barcolor, :
## Ignoring empty aesthetic: `width`.
#Biplot
fviz_pca_biplot(pca_result,
geom.ind = "point",
#col.ind = status.ipm,
#palette = c("#FC4E07","#E7B800", "#00AFBB"),
addEllipses = TRUE,
#legend.title = "Kategori"
)
# correlation circle
contrib_circle <- fviz_pca_var(pca_result, col.var = "contrib",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE) +
ggtitle("Kontribusi Variabel")## Warning: `aes_string()` was deprecated in ggplot2 3.0.0.
## ℹ Please use tidy evaluation idioms with `aes()`.
## ℹ See also `vignette("ggplot2-in-packages")` for more information.
## ℹ The deprecated feature was likely used in the factoextra package.
## Please report the issue at <https://github.com/kassambara/factoextra/issues>.
## This warning is displayed once per session.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## ℹ The deprecated feature was likely used in the factoextra package.
## Please report the issue at <https://github.com/kassambara/factoextra/issues>.
## This warning is displayed once per session.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.plot(contrib_circle)
#contribution
contrib_v_PC1 <- fviz_contrib(pca_result, choice = "var", axes = 1, top = 5) + ggtitle("PC1")
plot(contrib_v_PC1)
contrib_v_PC2 <- fviz_contrib(pca_result, choice = "var", axes = 2, top = 5) + ggtitle("PC2")
plot(contrib_v_PC2)
contrib_v_PC3 <- fviz_contrib(pca_result, choice = "var", axes = 3, top = 5) + ggtitle("PC3")
plot(contrib_v_PC3)
Factor Analysis (FA)
Manual
varcov = cov(scale_data)
pc = eigen(varcov)
cat("eigen value:")## eigen value:pc$values## [1] 5.43531550 1.02202038 0.91907751 0.72322243 0.62157618 0.44685103
## [7] 0.36988322 0.25113771 0.19228580 0.01863024cat("eigen vector:")## eigen vector:pc$vectors## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.3481279 0.285725756 0.32530540 0.19350672 -0.01620217 0.10706230
## [2,] -0.3445674 0.038327998 0.29403391 -0.01018222 -0.51702300 -0.06277789
## [3,] -0.3658630 0.266193248 -0.09651537 -0.02456942 -0.23107580 -0.13486801
## [4,] -0.4090081 0.070830715 0.03032041 0.11209605 -0.27885976 0.10835701
## [5,] -0.3024809 0.115748381 -0.35148657 0.44725850 0.11720760 0.67809950
## [6,] -0.3300834 -0.161087637 0.23602521 0.24217862 -0.03058611 -0.36765164
## [7,] -0.2735868 0.006783326 0.41908134 0.37479845 0.64348032 -0.15887607
## [8,] 0.2602446 0.164213617 -0.43996526 0.62759487 -0.18898525 -0.48947156
## [9,] -0.1879240 0.763160872 -0.17921680 -0.34236417 0.28481089 -0.20547264
## [10,] 0.2838920 0.438454520 0.46574450 0.19755811 -0.23599405 0.22942601
## [,7] [,8] [,9] [,10]
## [1,] -0.05423277 -0.267509884 0.75343861 0.001412699
## [2,] 0.27718121 -0.529089647 -0.15047258 0.377602327
## [3,] 0.17068549 0.660898140 0.37660538 0.325621938
## [4,] 0.13681088 -0.007772712 0.10749742 -0.833290570
## [5,] -0.18000416 -0.122922248 -0.01810170 0.223895187
## [6,] -0.78212394 0.001624945 0.04530858 0.029337873
## [7,] 0.40271865 0.041092826 -0.07341155 0.020795959
## [8,] 0.14759221 -0.087954646 -0.10879793 -0.034749883
## [9,] -0.16132459 -0.262889788 -0.10679941 -0.055309483
## [10,] -0.13515872 0.343522401 -0.47464519 -0.036369439sp = sum(pc$values[1:3])
L1 = sqrt(pc$values[1])*pc$vectors[,1]
L2 = sqrt(pc$values[2])*pc$vectors[,2]
L3 = sqrt(pc$values[3])*pc$vectors[,3]
L = cbind(L1,L2,L3)
cat("factor loading:")## factor loading:L## L1 L2 L3
## [1,] 0.8116171 0.288854521 0.31186551
## [2,] -0.8033163 0.038747698 0.28188599
## [3,] -0.8529643 0.269108127 -0.09252787
## [4,] -0.9535519 0.071606328 0.02906773
## [5,] -0.7051967 0.117015853 -0.33696501
## [6,] -0.7695487 -0.162851584 0.22627390
## [7,] -0.6378338 0.006857605 0.40176712
## [8,] 0.6067282 0.166011795 -0.42178823
## [9,] -0.4381216 0.771517664 -0.17181252
## [10,] 0.6618592 0.443255701 0.44650241function in R –> principal
fa <- principal(scale_data, nfactors = 3, rotate = "none")
fa## Principal Components Analysis
## Call: principal(r = scale_data, nfactors = 3, rotate = "none")
## Standardized loadings (pattern matrix) based upon correlation matrix
## PC1 PC2 PC3 h2 u2 com
## X1 -0.81 0.29 0.31 0.84 0.161 1.6
## X2 0.80 0.04 0.28 0.73 0.274 1.2
## X3 0.85 0.27 -0.09 0.81 0.191 1.2
## X4 0.95 0.07 0.03 0.92 0.085 1.0
## X5 0.71 0.12 -0.34 0.62 0.375 1.5
## X6 0.77 -0.16 0.23 0.67 0.330 1.3
## X7 0.64 0.01 0.40 0.57 0.432 1.7
## X9 -0.61 0.17 -0.42 0.57 0.426 2.0
## X10 0.44 0.77 -0.17 0.82 0.183 1.7
## X11 -0.66 0.44 0.45 0.83 0.166 2.6
##
## PC1 PC2 PC3
## SS loadings 5.44 1.02 0.92
## Proportion Var 0.54 0.10 0.09
## Cumulative Var 0.54 0.65 0.74
## Proportion Explained 0.74 0.14 0.12
## Cumulative Proportion 0.74 0.88 1.00
##
## Mean item complexity = 1.6
## Test of the hypothesis that 3 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.05
## with the empirical chi square 134.26 with prob < 8.1e-20
##
## Fit based upon off diagonal values = 0.99fa$loadings##
## Loadings:
## PC1 PC2 PC3
## X1 -0.812 0.289 0.312
## X2 0.803 0.282
## X3 0.853 0.269
## X4 0.954
## X5 0.705 0.117 -0.337
## X6 0.770 -0.163 0.226
## X7 0.638 0.402
## X9 -0.607 0.166 -0.422
## X10 0.438 0.772 -0.172
## X11 -0.662 0.443 0.447
##
## PC1 PC2 PC3
## SS loadings 5.435 1.022 0.919
## Proportion Var 0.544 0.102 0.092
## Cumulative Var 0.544 0.646 0.738fa.diagram(fa$loadings)
fa_1 <- principal(scale_data, nfactors = 3, rotate = "varimax")
fa_1## Principal Components Analysis
## Call: principal(r = scale_data, nfactors = 3, rotate = "varimax")
## Standardized loadings (pattern matrix) based upon correlation matrix
## RC1 RC3 RC2 h2 u2 com
## X1 -0.37 -0.82 -0.16 0.84 0.161 1.5
## X2 0.75 0.28 0.30 0.73 0.274 1.6
## X3 0.49 0.45 0.61 0.81 0.191 2.8
## X4 0.67 0.52 0.45 0.92 0.085 2.7
## X5 0.23 0.59 0.48 0.62 0.375 2.3
## X6 0.71 0.39 0.12 0.67 0.330 1.6
## X7 0.73 0.12 0.17 0.57 0.432 1.2
## X9 -0.74 -0.17 0.00 0.57 0.426 1.1
## X10 0.09 0.01 0.90 0.82 0.183 1.0
## X11 -0.19 -0.89 0.00 0.83 0.166 1.1
##
## RC1 RC3 RC2
## SS loadings 3.05 2.56 1.77
## Proportion Var 0.31 0.26 0.18
## Cumulative Var 0.31 0.56 0.74
## Proportion Explained 0.41 0.35 0.24
## Cumulative Proportion 0.41 0.76 1.00
##
## Mean item complexity = 1.7
## Test of the hypothesis that 3 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.05
## with the empirical chi square 134.26 with prob < 8.1e-20
##
## Fit based upon off diagonal values = 0.99scores = scale_data %*% solve(cor(scale_data)) %*% as.matrix(fa$loadings)
scores## PC1 PC2 PC3
## [1,] -0.527112794 -0.601182911 0.835649428
## [2,] -0.686404420 0.827012317 2.284440855
## [3,] -0.353724217 -0.898152795 0.911260038
## [4,] -0.198140457 -0.526346804 0.252135517
## [5,] -0.154056854 -0.683678007 0.604372386
## [6,] 0.196318153 -0.150722277 0.195914967
## [7,] 0.259443115 -0.564012004 1.688980004
## [8,] 0.418687776 -0.542253456 0.948704506
## [9,] -0.166977233 -0.250300461 1.088935559
## [10,] 0.284844609 -0.475230071 0.516424082
## [11,] 0.042083919 -0.579112953 1.270480617
## [12,] -0.218509182 -0.857351859 1.628554763
## [13,] -0.838370237 -0.006703575 -0.379656454
## [14,] 0.029654389 -0.720841320 0.390412477
## [15,] -0.128415864 -0.471821900 0.742525211
## [16,] -0.127986171 -0.536438608 0.147367416
## [17,] 0.105068811 0.074887838 0.202098118
## [18,] 0.309768502 -0.383232648 1.392474698
## [19,] 1.793119217 0.178248540 1.255654628
## [20,] 0.757047043 -0.380888422 1.370706063
## [21,] 0.822533395 -0.370700120 1.033156716
## [22,] 0.914993717 -0.394201522 0.984757873
## [23,] -0.779006054 -0.900751404 0.381884546
## [24,] -1.644185151 0.034747333 -3.031076542
## [25,] -0.678633437 -0.413365407 -0.358292249
## [26,] -0.390100827 -0.135337721 -0.921294835
## [27,] -0.430703472 -0.168006194 -0.881131477
## [28,] 0.209695225 -0.046435460 -0.627077200
## [29,] 0.535231637 -0.052746965 -0.319341817
## [30,] 0.548449687 -0.348532231 0.610636297
## [31,] 0.435543643 -0.408387607 0.764503127
## [32,] 0.617077767 -0.003002467 0.030961027
## [33,] 0.129681514 -0.216724657 -0.809064466
## [34,] 0.407274463 0.271496843 -1.086811085
## [35,] 1.080466699 0.450492157 0.100579993
## [36,] 0.270348500 -0.070707981 0.058795772
## [37,] -1.395397077 -0.131926300 -1.752464291
## [38,] -0.065350289 -0.491607374 -0.565713246
## [39,] -0.508182015 -0.586147629 -1.177096091
## [40,] -0.218789534 -0.275129559 -1.442720547
## [41,] 0.435972267 -0.492584395 0.530356622
## [42,] 0.062936422 -0.276790336 0.459095199
## [43,] -0.208454301 -0.273916427 -0.658201686
## [44,] -0.353250322 -0.436805241 -0.715233317
## [45,] 0.353774690 -0.361791806 0.108400413
## [46,] 0.314010621 -0.260836304 0.038548603
## [47,] -1.739588384 1.223400674 0.305852827
## [48,] -1.915404672 1.458796117 0.088711796
## [49,] 0.037392882 0.177312419 -0.232646120
## [50,] 0.035033900 -0.651626901 1.170120078
## [51,] 1.091247398 -0.098543143 0.368810167
## [52,] 0.872135212 -0.327670899 0.775942977
## [53,] 1.684832625 2.280707896 0.295680512
## [54,] 1.053429551 -0.652920844 0.882080714
## [55,] 0.116525953 -0.250494894 -0.958221139
## [56,] -0.338544705 -0.344221543 -0.245000751
## [57,] -1.295873560 -0.661369351 -1.439149431
## [58,] 0.026926497 -0.606007496 -0.579229749
## [59,] -0.306813066 -0.273783246 -1.054326784
## [60,] -0.277898040 -0.692924248 -0.779723051
## [61,] 0.175295617 -0.432355308 -0.585256836
## [62,] 0.046601277 -0.401413728 -0.336048502
## [63,] 0.401007162 -0.479518727 -0.288158472
## [64,] -0.261409668 -0.359129859 -1.300690032
## [65,] -0.448223309 -0.611737069 -0.612255384
## [66,] -0.197799394 -0.458372439 -0.729412641
## [67,] 0.189683475 -0.378745694 -1.182484853
## [68,] -0.095389209 -0.702788010 -0.176915061
## [69,] 1.461445575 0.518870322 0.202652629
## [70,] 1.166063709 -0.533132205 0.225338134
## [71,] 0.589088469 -0.872977281 0.082325376
## [72,] 0.919435909 -0.446358223 0.462455352
## [73,] 1.293048409 -0.198300342 0.175998154
## [74,] 1.091578630 -0.125126190 -0.056650697
## [75,] 0.968627025 -0.539905819 0.684116882
## [76,] 0.251246113 -0.418986051 0.170609075
## [77,] 0.108335457 -0.315222411 -0.980870978
## [78,] -0.234318902 0.061327107 -0.779028073
## [79,] 0.365377631 0.139966209 -0.485203751
## [80,] 0.903151577 0.079550410 0.252561634
## [81,] 0.666545798 0.039455924 0.293871711
## [82,] 0.252714536 -0.400169336 0.275755487
## [83,] 0.789466059 0.498823995 0.000882185
## [84,] 0.277271609 -0.229325519 0.060457026
## [85,] -1.065438653 1.253754477 2.211474709
## [86,] 1.670599040 0.611835722 0.658055666
## [87,] 0.938116482 -0.433372458 0.353721947
## [88,] -0.018718290 -0.429337170 -0.869795694
## [89,] -0.080537630 -0.364733494 -1.117662209
## [90,] 0.094113532 -0.447686823 -0.480899138
## [91,] 0.009705702 -0.442365197 -0.651118612
## [92,] 0.344631542 -0.899628862 -0.094715022
## [93,] -0.487644540 -0.475418387 -0.311793728
## [94,] -0.080677289 -0.140377201 -0.264639821
## [95,] -0.014924376 -0.573276135 -1.024160291
## [96,] 0.171530589 -0.617751262 -0.197299731
## [97,] 1.142930573 -0.165838542 0.815701226
## [98,] 0.720266706 -0.649673763 0.026868935
## [99,] -0.027340146 -0.442037581 0.037414974
## [100,] -0.336196753 -0.057943014 -0.557803209
## [101,] 0.094493948 0.149092853 -0.137546081
## [102,] -0.354067189 -0.281278503 0.252167462
## [103,] -0.353156090 -0.303539838 -0.320198437
## [104,] -0.234386995 0.314878106 -0.400032693
## [105,] -0.172265755 -0.415491749 -0.376793086
## [106,] -0.670544015 -0.426634994 -0.945474580
## [107,] 0.101561389 -0.333839501 -0.187183983
## [108,] -0.428547142 -0.441358490 -0.150655956
## [109,] -0.918271674 -0.439902437 -1.182795799
## [110,] -0.346595825 -0.794760422 -0.120587554
## [111,] -1.069433808 1.051111028 1.584942887
## [112,] 1.276223005 1.484921680 0.581344173
## [113,] 0.660303414 -0.226136011 0.500479256
## [114,] -0.230012786 -0.520594385 -0.068637516
## [115,] 0.495974933 0.002474838 0.269219399
## [116,] -0.392507840 -0.169734883 -0.585120153
## [117,] -0.383118777 -0.087281374 -0.984816856
## [118,] -0.241136867 -0.595229064 -0.773608022
## [119,] -0.380136382 -0.537498740 0.597043456
## [120,] -0.661760638 -0.576445056 -0.659402417
## [121,] -0.033773530 -0.794114480 0.409838504
## [122,] -0.698157155 -0.353871304 -0.842166005
## [123,] -0.554476975 -0.291351318 -1.022421640
## [124,] -0.283839187 -0.823092033 -0.646036617
## [125,] 1.017764148 0.273906396 1.319453881
## [126,] -0.529905885 -0.188203999 -1.332722303
## [127,] -0.459617036 -0.504480332 -0.885643803
## [128,] 0.095318881 -0.264301019 0.318536935
## [129,] 0.035322788 -0.051691881 -0.159066064
## [130,] 0.010288196 0.381206668 -0.857520099
## [131,] -0.415317714 -0.215271932 -0.208791379
## [132,] -0.426546891 -0.368729553 -1.098729348
## [133,] 0.056113754 -0.430522896 -0.442224174
## [134,] -0.219850313 -0.682085816 0.408052013
## [135,] 0.314266832 -0.599095176 0.357393795
## [136,] -0.373466754 -0.966360427 -0.479147814
## [137,] -0.570577529 -0.696598759 -1.897128602
## [138,] -0.714098757 -0.669425211 -0.032594618
## [139,] 1.028773430 0.178030663 0.634733669
## [140,] 0.934593331 -0.418855762 0.668282234
## [141,] 0.507503746 -0.684658579 -0.583281265
## [142,] 0.484880052 -0.441794597 -0.673190851
## [143,] 0.366399791 -0.729116662 -0.592246011
## [144,] 0.412265446 -0.603243248 -0.746688434
## [145,] -0.072754631 -0.780230148 -1.089084474
## [146,] 0.247152728 -0.493476679 -1.166918634
## [147,] 1.321867347 -0.132553024 0.167284855
## [148,] 0.593205837 -0.704652287 0.278609408
## [149,] 0.625925700 -0.217300986 -0.336842844
## [150,] 0.270215455 -0.100982503 -0.476379425
## [151,] -0.463048652 -0.612977596 0.499266386
## [152,] -0.808467503 -0.113983831 -2.832954277
## [153,] 1.680094898 1.891935520 -0.519820195
## [154,] 1.144014873 0.045142041 0.573954860
## [155,] 0.344357146 -0.268492859 0.714055884
## [156,] 2.951935352 7.267992449 -1.232238465
## [157,] 2.360128263 4.851994317 -0.525736666
## [158,] 2.403132066 7.233036738 -1.324796298
## [159,] 2.384313695 5.356985454 -0.918810115
## [160,] 2.070145367 5.424652010 -0.966719461
## [161,] 0.504709517 1.861533571 -0.603751267
## [162,] -0.091847806 -0.084316949 -0.815589976
## [163,] -0.359966803 -0.180930547 -0.624172667
## [164,] 0.620152025 0.804769173 -0.421926886
## [165,] -0.328152292 -0.048074640 -0.808541761
## [166,] -0.454985546 -0.253195822 -0.625232426
## [167,] 0.088422932 -0.234800171 -0.714631138
## [168,] 0.256215322 -0.340473321 0.062924825
## [169,] 0.238857494 -0.094231054 0.005382027
## [170,] 0.018887419 -0.309423603 0.040416313
## [171,] 0.411873175 -0.178472880 -0.087411627
## [172,] 0.094385309 0.322125475 -0.381619940
## [173,] 0.297474136 -0.136148542 -0.279177082
## [174,] 0.372021264 0.111612935 -0.267550270
## [175,] 0.670984472 2.069719021 -0.645639240
## [176,] 1.154296279 3.379601766 -1.109404631
## [177,] 0.124930100 -0.247416342 0.098504115
## [178,] -0.115279156 -0.472903720 -0.966713558
## [179,] 0.989034457 0.048228327 0.368122958
## [180,] 0.532539989 -0.272697187 0.410811799
## [181,] 1.590233231 3.490550419 -1.131595003
## [182,] 0.908076524 -0.282724655 0.802460084
## [183,] 1.739957001 0.941122256 0.115432538
## [184,] 1.728486473 0.427535658 0.332345282
## [185,] 1.154973854 -0.139589850 0.416131736
## [186,] 0.248665787 0.038076550 0.020311749
## [187,] 0.487912139 -0.726682593 0.347352440
## [188,] 0.407895826 0.898425538 -0.501016124
## [189,] 0.415276560 0.318798406 -0.286215965
## [190,] -0.060473276 -0.014277161 -0.591073865
## [191,] -0.434410923 0.210263188 -1.334048584
## [192,] 0.054223855 -0.136356744 -0.139888690
## [193,] 0.243124843 -0.016619898 -0.937768819
## [194,] -0.278759121 0.226677402 -0.591966936
## [195,] 0.075834440 0.048045075 -0.926510145
## [196,] 0.576072975 0.382765390 -1.211234960
## [197,] 0.879922806 0.252077491 -0.099334533
## [198,] 1.018559283 0.091388117 -0.444802098
## [199,] 0.330808741 -0.122655797 -0.754819880
## [200,] 0.801910880 0.247945939 -0.748112958
## [201,] 0.587069762 0.396674051 -0.623151435
## [202,] 0.084568495 -0.049822738 -1.282851474
## [203,] 0.190034956 -0.241168400 -0.556781534
## [204,] 0.221545431 -0.065412564 -0.366324408
## [205,] 0.566201898 0.023011864 -0.557806905
## [206,] 0.845058752 0.799718138 -1.051377121
## [207,] 0.286745853 -0.012970694 -1.430691851
## [208,] 0.510918293 -0.183300526 -0.105989299
## [209,] 0.691273309 0.305921087 -0.993879269
## [210,] 0.040787558 -0.065232758 -1.335417261
## [211,] 0.437006478 0.162797379 -0.778289377
## [212,] 0.050503394 -0.169625067 -0.987957396
## [213,] 0.177124390 -0.149324176 -0.728084684
## [214,] -0.130047107 -0.261817307 -0.166489215
## [215,] 0.216598069 -0.419656019 -0.127343565
## [216,] -0.177753317 -0.056204246 0.234790475
## [217,] 1.159691820 -0.097465828 -0.040664543
## [218,] 1.488316773 0.690309502 -0.079666844
## [219,] 1.599221349 0.223547713 -0.424022428
## [220,] 1.802047847 2.301060901 -0.934881920
## [221,] 0.769472319 -0.091982670 -0.591120036
## [222,] 0.885289599 -0.141600847 -0.161199739
## [223,] 0.326669469 0.115229035 -0.460404712
## [224,] 1.037867844 0.553459859 -0.069787379
## [225,] 0.050930574 -0.021478975 -0.520341161
## [226,] 1.457573829 0.773720975 -0.302277166
## [227,] 1.821691800 0.907796356 -0.048918191
## [228,] -0.432482793 0.008508011 -1.478047288
## [229,] 0.222629524 -0.303792433 -0.505974849
## [230,] -0.052275748 -0.158848569 -1.231387588
## [231,] 0.530243655 -0.020453026 -0.667824543
## [232,] 0.255581249 0.003928201 -0.782961706
## [233,] 0.427957817 0.047670135 -0.189862055
## [234,] 0.299437347 0.522135405 -0.568484926
## [235,] -0.035224789 -0.537717600 -0.041898720
## [236,] -0.198200007 0.213204980 -0.577701093
## [237,] 0.329671757 0.461506723 -0.770381915
## [238,] -0.617992622 -0.019633123 -0.651022139
## [239,] -0.300979987 -0.177847998 -0.430343747
## [240,] -0.563671968 0.239027523 -0.364083840
## [241,] 0.283979468 1.019524883 -0.443865001
## [242,] 1.555738096 1.978002254 -0.300516157
## [243,] 0.689434581 0.715474497 -0.320054177
## [244,] 0.565693740 0.014922671 -0.118913654
## [245,] 0.453762553 -0.145066437 0.248407930
## [246,] 0.375701801 -0.253184946 0.041827495
## [247,] 0.498357795 -0.059007435 -0.304381403
## [248,] 0.125149143 0.096813644 -0.353710515
## [249,] 0.219544765 0.546500867 -0.372753966
## [250,] -0.005924248 0.425459956 -0.435682128
## [251,] 0.298342979 0.150682027 -0.547369504
## [252,] 0.877809115 1.456693103 -0.369450431
## [253,] -1.153733274 1.495980605 1.159200880
## [254,] -1.225524003 1.146626847 1.434420048
## [255,] -0.404222124 -0.537338287 0.207430836
## [256,] -0.897808947 1.622984384 0.806869811
## [257,] 1.197544328 0.954110196 -0.032379510
## [258,] 1.111512519 -0.125140614 0.071078605
## [259,] 1.480904979 0.831212085 -0.171619270
## [260,] 0.603258046 -0.391992691 0.176527879
## [261,] 0.792455549 -0.243274552 -0.041739526
## [262,] 1.167459548 -0.280693120 0.340093280
## [263,] 1.500312200 0.013310019 0.446009283
## [264,] 2.233552443 6.509937644 -1.563987075
## [265,] 0.878968525 -0.241943315 -0.378782987
## [266,] -0.569077839 -0.597677486 0.117678504
## [267,] -0.635594712 -0.489274044 -0.774495030
## [268,] 0.736682599 0.857537235 0.101459805
## [269,] 0.082168882 -0.243243152 0.343709014
## [270,] 1.399202637 1.286882307 0.276566864
## [271,] 0.979340412 0.273223348 1.002482300
## [272,] 0.708796740 -0.369028860 0.789094239
## [273,] 1.738985341 0.577436768 0.588177940
## [274,] 0.410642065 -0.248116169 -1.207531142
## [275,] 0.962801626 0.025882547 -0.649026723
## [276,] 1.610126509 0.518498260 -0.533653913
## [277,] 1.081205296 -0.004541912 -0.326181982
## [278,] 0.488794740 -0.574122744 -0.267591741
## [279,] 0.016626475 -0.388897221 -1.420099049
## [280,] -0.126066083 -0.393991778 -1.217561812
## [281,] 0.520878702 -0.074934079 -0.831169382
## [282,] 1.938217601 0.739382962 -0.135293621
## [283,] -0.262980675 -0.248302837 -0.125245340
## [284,] -0.447941946 -0.372763911 -0.314840143
## [285,] -0.327314426 -0.496352055 0.425437042
## [286,] -0.009029069 -0.640810370 0.782104533
## [287,] -0.018630633 -0.751174718 0.825242141
## [288,] -0.315630017 -0.582615432 0.489194309
## [289,] 0.277391727 -0.189721750 0.442870682
## [290,] -1.201407517 1.208968332 1.702456664
## [291,] 1.080234333 0.004259356 0.361541142
## [292,] 0.635666682 -0.321179550 0.227035331
## [293,] -1.508895154 1.293331624 1.580422305
## [294,] -1.300955975 1.373780210 1.985168189
## [295,] -1.254835804 0.917359085 1.897789352
## [296,] -1.871281918 1.331608039 0.474283481
## [297,] -1.301089745 1.000647035 1.481375732
## [298,] -0.733520711 -0.789010299 0.345418882
## [299,] -1.365026410 0.503765590 2.299742465
## [300,] -0.879315301 0.777344272 2.835206527
## [301,] -0.320602853 -1.053553956 0.671772273
## [302,] -0.460986637 -0.727252874 -0.086593009
## [303,] -0.911089323 1.165242216 2.229148511
## [304,] -0.060002861 -0.715892866 0.370722851
## [305,] -1.138811098 0.963111185 1.508112683
## [306,] -1.292400118 0.862660735 2.584519691
## [307,] -0.644248276 -0.559935996 0.130801963
## [308,] -1.874884848 1.291179315 1.264597741
## [309,] -1.872272146 1.563631033 0.418072965
## [310,] -0.173468266 -0.953267378 0.716466256
## [311,] -1.817665045 1.357240362 0.565532379
## [312,] -2.082625736 0.476065368 2.074667766
## [313,] -0.931556512 -0.974154847 0.342855667
## [314,] 1.125923764 -0.186078868 1.225710180
## [315,] -0.021316107 -0.641631626 -0.361283525
## [316,] -0.027004193 -0.692646626 -1.380254077
## [317,] -0.481865193 -0.545618248 -1.487010498
## [318,] 0.065984760 -1.236642571 0.023825675
## [319,] -0.135696802 -0.725410263 -1.010953226
## [320,] -0.216965334 -0.524841172 -1.013087098
## [321,] -0.612936348 -0.315808924 -2.383008374
## [322,] -0.351479314 -0.673150366 -1.183921677
## [323,] -0.590831882 -0.839958029 -2.147103020
## [324,] -0.448708858 -0.503373646 -1.518676050
## [325,] -0.394061050 -1.024492036 0.073486372
## [326,] 0.072111838 -0.727167498 -0.406675265
## [327,] 1.394255698 -0.072523356 0.461273820
## [328,] 0.597768552 -0.701560062 -0.169025671
## [329,] 0.595577344 -0.366421560 -0.524321658
## [330,] 0.295007177 -0.327480332 -0.431154292
## [331,] -0.234866511 -0.309463209 -1.365171239
## [332,] -0.022125078 -0.727658476 -0.745949547
## [333,] 0.011606762 -0.552183122 -1.340437026
## [334,] 0.089350814 -0.873606520 -0.802888108
## [335,] 0.133807799 -0.711132597 -1.014882879
## [336,] -0.278651243 -0.685572824 -1.206970936
## [337,] 0.071170246 -0.899684603 0.269028513
## [338,] -0.117036481 -0.627191933 -0.759137336
## [339,] 0.196572972 -0.675547734 -0.916573379
## [340,] -0.028911697 -0.345708218 -1.250642483
## [341,] -0.265694653 -0.577915885 -1.328305052
## [342,] 1.456636318 -0.264758925 0.645048718
## [343,] -0.109338066 -0.398364961 -1.563951799
## [344,] -0.026155703 -0.418258300 -1.232497089
## [345,] 0.013073623 -0.504374018 -1.222649373
## [346,] -0.582738866 -0.565064619 -1.527077202
## [347,] 0.223228047 -0.554106028 -1.010585708
## [348,] 0.047925519 -0.685717052 -0.550533366
## [349,] 0.167512069 -0.671973063 0.061815322
## [350,] -0.220184122 -1.009366356 0.198198186
## [351,] 0.404705322 -0.432344673 -0.666359414
## [352,] 0.211601983 -0.482818042 -1.141536871
## [353,] -0.019447326 -0.522987136 -0.923713548
## [354,] 1.185825787 -0.128951550 0.568512981
## [355,] 1.098472908 -0.320652477 0.054900981
## [356,] 0.311373477 0.005504833 -0.898928040
## [357,] 0.173509647 -0.147381744 -1.149066482
## [358,] 0.718838217 1.329295646 -0.728275464
## [359,] 0.632424211 0.971791510 -0.724629399
## [360,] 0.818229362 -0.114213616 -0.136859699
## [361,] 0.368222364 -0.496531277 -0.492960104
## [362,] -0.353283946 -0.678604130 -1.553514680
## [363,] 1.632984410 1.025807725 -0.062940604
## [364,] 1.467631343 0.388301732 0.108846623
## [365,] 1.573787094 0.580194984 -0.025865861
## [366,] 0.106299173 -0.370068737 -1.006252085
## [367,] 0.318961584 -0.510918940 -0.386204073
## [368,] 0.136398548 -1.032623119 -0.218972043
## [369,] -0.024342908 -0.854430443 -0.272155662
## [370,] 0.898569716 -0.168307982 0.206222580
## [371,] 0.138952879 -0.796398693 0.181883185
## [372,] 0.857269456 -0.488310163 0.629745832
## [373,] 0.371919738 -0.569793059 0.477370238
## [374,] 0.009719140 -0.563221095 -0.590013728
## [375,] 0.519030320 -0.594750736 0.557041482
## [376,] 0.771669611 -0.599744688 0.519693073
## [377,] -0.097649197 -0.944323580 0.095354895
## [378,] 0.325779243 -1.084221823 0.803262865
## [379,] 0.352230077 -0.583670597 0.657677284
## [380,] -0.287825180 -1.027872723 1.132778064
## [381,] -0.120296526 -0.918851855 0.039676093
## [382,] 1.332691310 -0.076993153 0.943653132
## [383,] 0.864079066 -0.508124004 0.664524953
## [384,] 1.151815365 -0.803014854 1.144958254
## [385,] 0.609862263 -0.616392304 0.470859138
## [386,] -0.383972230 -0.750493894 0.495483497
## [387,] 0.234140023 -0.379054124 -0.270594878
## [388,] 0.409603255 0.363774259 0.608304152
## [389,] 0.102544625 -0.304322787 0.126228486
## [390,] -0.463957886 -0.499097540 0.383826699
## [391,] -0.312651818 -0.805467015 0.730985576
## [392,] -0.177565587 -0.615324369 0.313734119
## [393,] -0.600469467 -0.416038863 0.055723946
## [394,] -0.585234362 -0.531830247 0.341841469
## [395,] -0.175691859 -0.556400114 -0.259675596
## [396,] -0.348847281 -0.904822874 1.098291809
## [397,] -0.081930464 -0.499844284 0.086271023
## [398,] 1.356438779 0.021273381 0.835357579
## [399,] -0.168631358 -0.626676994 0.117889670
## [400,] 0.215586498 -0.815923773 0.235436209
## [401,] 0.032008834 -0.266548654 -0.726104313
## [402,] -0.345873874 -0.716236820 0.554755903
## [403,] 0.129655070 -0.851080690 0.512737708
## [404,] 0.338516109 -0.685302725 0.128805626
## [405,] -0.104316997 -0.732699516 -0.094173501
## [406,] 0.314229913 -0.711619046 0.493836893
## [407,] 0.080868076 -0.358806402 0.689439418
## [408,] 0.534865689 -0.932702298 1.092886892
## [409,] -0.055739968 -0.719756046 0.435872141
## [410,] 0.381026662 -1.053033128 0.827067236
## [411,] 0.298853596 -0.685328925 0.139726890
## [412,] 0.742213045 -0.891762838 0.791493980
## [413,] 0.576049957 -0.704473484 0.782077065
## [414,] 0.166006903 -0.300514770 -0.567152949
## [415,] 0.219885844 -0.549696071 0.267221751
## [416,] -0.215315205 -0.435627504 -1.294784364
## [417,] 0.219818042 -0.535780711 0.524206648
## [418,] 0.462425162 -0.173459884 -0.734973437
## [419,] -0.033586437 -0.568177410 -0.837552075
## [420,] 1.873587214 1.763088375 0.506879811
## [421,] 1.149153461 -0.392859059 0.573559393
## [422,] 1.126784935 -0.474946064 1.158010324
## [423,] -0.184742647 -0.924292886 0.849173584
## [424,] 0.003836023 -0.657947098 0.383491379
## [425,] 0.227783870 -0.407898518 0.158568395
## [426,] 0.445781147 0.038105739 -0.162372169
## [427,] -0.085564654 -0.441486454 -0.455250219
## [428,] -0.191911678 -0.708586959 -0.113685436
## [429,] 0.011643596 -0.470157993 0.184650803
## [430,] -0.117843994 -0.155113613 -0.732410880
## [431,] -0.277679743 -0.384722160 -0.289629281
## [432,] -0.067328205 -0.441695701 0.004038206
## [433,] -0.112082017 -0.512623859 -0.367214757
## [434,] -0.297621309 -0.662421080 0.856197122
## [435,] -0.382732006 -0.633771087 -0.184064907
## [436,] -0.338872685 -1.010609354 0.860453617
## [437,] -0.410149989 -0.800697432 0.290106482
## [438,] 1.650238253 -0.004242886 0.678315011
## [439,] 0.840976263 -0.546869019 0.694359564
## [440,] -0.366774754 -0.436129750 0.421765401
## [441,] -0.241394016 -0.461254439 0.726271426
## [442,] -0.474463745 -0.425448565 0.640300193
## [443,] -0.005155482 -0.429925269 0.688365180
## [444,] -0.506472219 -0.645959259 0.419148267
## [445,] 1.074181523 -0.493689118 0.615975545
## [446,] -0.207615770 -0.801876708 1.504171564
## [447,] -0.590791664 -0.813536362 0.753243023
## [448,] -0.955196911 -0.299253487 -2.649223462
## [449,] -0.092357980 -0.738369909 -0.285919602
## [450,] 0.049850160 -0.764104585 -0.106015703
## [451,] -0.269480160 -0.957398523 -0.593572533
## [452,] -1.072690980 0.705811109 3.446551610
## [453,] -0.662731632 0.627886347 3.368415235
## [454,] 0.022479759 -0.342625840 1.389891547
## [455,] -0.194241881 -0.287902770 0.638455575
## [456,] -1.410190536 1.089181464 2.642069412
## [457,] -1.189403488 1.097415282 2.717858704
## [458,] -1.247668199 0.887537224 2.813865751
## [459,] -1.388020271 0.990997944 2.830990459
## [460,] -0.706163188 -0.480847429 -0.023902273
## [461,] 1.412932356 -0.311962474 1.162849278
## [462,] -0.475702037 0.606956197 3.829557842
## [463,] -0.214461859 -1.122787303 0.718125637
## [464,] -0.282027806 -1.013673530 1.172165809
## [465,] -0.321790028 -1.393344892 1.026644329
## [466,] -0.444816220 -1.021857246 -0.082110950
## [467,] -0.007753775 -1.062304029 0.012684956
## [468,] -0.414160919 -0.710920976 -0.180833756
## [469,] -0.532412392 -1.264772373 -0.319503917
## [470,] -0.926182971 -1.319543355 -0.178162145
## [471,] 1.452072047 -0.631536957 1.319974483
## [472,] 0.423221599 -1.037120376 0.802264737
## [473,] -0.797299723 1.114725346 2.247059722
## [474,] -0.617676681 -0.571828004 0.141916539
## [475,] -2.326880482 1.152289202 0.628611631
## [476,] -1.119950461 1.419336597 3.274096977
## [477,] -0.362050932 1.363073487 1.779987364
## [478,] -1.851359833 1.035524300 -0.217360492
## [479,] -0.646799434 -0.309514950 1.150090398
## [480,] -1.191100991 0.698541849 1.719763283
## [481,] -2.703790458 0.758312519 1.053949612
## [482,] -2.209044325 1.116815510 0.406749693
## [483,] -1.684625515 1.051985515 1.158722260
## [484,] -2.215200863 0.439366606 -1.622800171
## [485,] 0.985895248 -0.020411992 1.258287873
## [486,] -0.455394365 0.806198809 1.190089280
## [487,] -2.544724540 0.540103027 -1.352335893
## [488,] -0.351702406 0.933724283 1.683612894
## [489,] -0.586725600 1.238578136 2.308716240
## [490,] -0.787774601 1.036209740 2.514789437
## [491,] -0.318928654 1.245876396 2.908352952
## [492,] -2.833229892 2.243654709 -0.318761977
## [493,] -3.150898225 1.854074828 -0.316501925
## [494,] 0.708704290 0.774255948 0.335740945
## [495,] -1.276194498 -0.412254503 -0.165072684
## [496,] -1.964989539 0.821939698 1.202467924
## [497,] -2.555508905 0.929021303 1.516364469
## [498,] -3.328959744 1.784560540 -0.912260142
## [499,] -3.033074468 1.370455266 -0.234705189
## [500,] -3.733452507 1.759472608 -2.755740382
## [501,] -0.497353830 -0.883654474 0.569587124
## [502,] -0.710229999 -0.283374979 -0.688599055
## [503,] -0.907531016 0.627539983 3.483404422
## [504,] -1.690939923 1.106428703 2.163798251
## [505,] -2.363118815 0.301059487 2.524880878
## [506,] -4.990424950 1.446484174 -2.231847821
## [507,] -4.052583146 2.076763525 -3.067937948
## [508,] -4.125458674 1.923760762 -2.965668671
## [509,] -3.519702591 1.854341429 -1.576832235
## [510,] -3.412521212 1.780094298 -0.547479192
## [511,] -2.593970741 1.394242183 0.125470883
## [512,] -3.527539515 1.773437646 -0.638035785
## [513,] -3.287011664 1.940519987 0.139335295
## [514,] 1.172941801 0.268815563 1.003243845function in R –> fa
# Perform factor analysis
FA <- fa(scale_data,
covar = TRUE,
nfactors = 3,
rotate = "none", fm="pm")## factor method not specified correctly, minimum residual (unweighted least squares usedload <- FA$loadings
load##
## Loadings:
## MR1 MR2 MR3
## X1 -0.807 0.393
## X2 0.782 0.222 -0.211
## X3 0.858 0.214 0.301
## X4 0.980 0.179
## X5 0.655 0.181
## X6 0.733 -0.265
## X7 0.579 0.107 -0.187
## X9 -0.549 0.223
## X10 0.393 0.229 0.321
## X11 -0.653 0.579
##
## MR1 MR2 MR3
## SS loadings 5.143 0.681 0.433
## Proportion Var 0.514 0.068 0.043
## Cumulative Var 0.514 0.582 0.626FA$scores## MR1 MR2 MR3
## [1,] -0.6758260972 -0.395062300 -1.2324702976
## [2,] -0.1972202804 2.340046416 -1.1150675119
## [3,] -0.0905896602 -0.365814999 -0.9959668677
## [4,] -0.2076216765 -0.425538682 -0.8308096199
## [5,] -0.3063754586 -0.427687021 -0.4770832917
## [6,] 0.4894276136 0.439325919 -0.6333055193
## [7,] 0.2416667186 0.481638963 -1.2762344593
## [8,] 0.3766296876 0.212872761 -1.1694640969
## [9,] 0.1624893759 0.604872526 -0.4229955161
## [10,] 0.4069464332 0.014166269 -1.0513287996
## [11,] 0.0745099251 0.074098997 -1.2400658125
## [12,] -0.3244777868 -0.250272686 -0.9643391658
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