prediction of Breast Cancer Diagnosis
Daniel Jeffry
2/20/2021
Description
This report describe prediction of breast cancer diagnosis using Machine Learning Algorithm. we investigated 4 Algorithm : Logistic Regression, Decision tree, Random Foresst, and support Vector Machine (SVM) The dataset used in this report is Breast Cancer Wisconsin hosted in kaggle.
The dataset can be dowloaded
[here.] (https://www.kaggle.com/uciml/breast-cancer-wisconsin-data)
Report Outline :
1. Data Extraction
2. Exploratory Data Analysis
3. Data Processing
4. Modelling
5. Evaluation
6. Compare with PCA
7. Recommendation
1. Data Extraction
The Dataset is downlaoded from kaggle and saved in the data folder. we used read.csv function to read the dataset and put in bcw_df data frame
bcw_df <- read.csv("Data/data.csv")To see the number of rows and column, we used dim fuction. The dataset has 569 rows and 33 columns
dim(bcw_df)## [1] 569 332. Exploratory Data Analysis
To find out the column names and types, we used **str() function
str(bcw_df)## 'data.frame': 569 obs. of 33 variables:
## $ id : int 842302 842517 84300903 84348301 84358402 843786 844359 84458202 844981 84501001 ...
## $ diagnosis : chr "M" "M" "M" "M" ...
## $ radius_mean : num 18 20.6 19.7 11.4 20.3 ...
## $ texture_mean : num 10.4 17.8 21.2 20.4 14.3 ...
## $ perimeter_mean : num 122.8 132.9 130 77.6 135.1 ...
## $ area_mean : num 1001 1326 1203 386 1297 ...
## $ smoothness_mean : num 0.1184 0.0847 0.1096 0.1425 0.1003 ...
## $ compactness_mean : num 0.2776 0.0786 0.1599 0.2839 0.1328 ...
## $ concavity_mean : num 0.3001 0.0869 0.1974 0.2414 0.198 ...
## $ concave.points_mean : num 0.1471 0.0702 0.1279 0.1052 0.1043 ...
## $ symmetry_mean : num 0.242 0.181 0.207 0.26 0.181 ...
## $ fractal_dimension_mean : num 0.0787 0.0567 0.06 0.0974 0.0588 ...
## $ radius_se : num 1.095 0.543 0.746 0.496 0.757 ...
## $ texture_se : num 0.905 0.734 0.787 1.156 0.781 ...
## $ perimeter_se : num 8.59 3.4 4.58 3.44 5.44 ...
## $ area_se : num 153.4 74.1 94 27.2 94.4 ...
## $ smoothness_se : num 0.0064 0.00522 0.00615 0.00911 0.01149 ...
## $ compactness_se : num 0.049 0.0131 0.0401 0.0746 0.0246 ...
## $ concavity_se : num 0.0537 0.0186 0.0383 0.0566 0.0569 ...
## $ concave.points_se : num 0.0159 0.0134 0.0206 0.0187 0.0188 ...
## $ symmetry_se : num 0.03 0.0139 0.0225 0.0596 0.0176 ...
## $ fractal_dimension_se : num 0.00619 0.00353 0.00457 0.00921 0.00511 ...
## $ radius_worst : num 25.4 25 23.6 14.9 22.5 ...
## $ texture_worst : num 17.3 23.4 25.5 26.5 16.7 ...
## $ perimeter_worst : num 184.6 158.8 152.5 98.9 152.2 ...
## $ area_worst : num 2019 1956 1709 568 1575 ...
## $ smoothness_worst : num 0.162 0.124 0.144 0.21 0.137 ...
## $ compactness_worst : num 0.666 0.187 0.424 0.866 0.205 ...
## $ concavity_worst : num 0.712 0.242 0.45 0.687 0.4 ...
## $ concave.points_worst : num 0.265 0.186 0.243 0.258 0.163 ...
## $ symmetry_worst : num 0.46 0.275 0.361 0.664 0.236 ...
## $ fractal_dimension_worst: num 0.1189 0.089 0.0876 0.173 0.0768 ...
## $ X : logi NA NA NA NA NA NA ...From the result above, weknow the following: 1. The first column is id. it is unique and unnecassary for prediction. so, it should be removed. 2. The second column is diagnosis. this should be a class variable, Currently the type is char and it should be converted to factor 3. The last column is x. All the values are NA. So, it should be removed.
bcw_df$id <- NULL
bcw_df$X <- NULL
# change to factor for target variabel
bcw_df$diagnosis <- as.factor(bcw_df$diagnosis)2.1 Univariate Data Analysis
Analysis satu variable. contoh: boxplot, histogram, piechart
library(ggplot2)
ggplot(data=bcw_df, aes(x = diagnosis)) +
geom_bar()
Distribution of Radius Mean variable in boxplot
ggplot(data = bcw_df, aes(y=radius_mean)) +
geom_boxplot() +
labs(title = "Breast Cancer Wisconsin Data", y="Radius Mean")
Distribution of Radius Mean variable in histogram
ggplot(data = bcw_df, aes(x=radius_mean)) + geom_histogram()## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
library(gridExtra)
p1 <- ggplot(data = bcw_df, aes(x=diagnosis)) + geom_bar()
p2 <- ggplot(data = bcw_df, aes(y=radius_mean)) +
geom_boxplot()
p3 <- ggplot(data = bcw_df, aes(x=radius_mean)) + geom_histogram()
grid.arrange(p1,p2,p3, nrow = 2, ncol = 3)## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
2.2 Bivariate Data Analysis
Analysis of two variables, Distribution of radius mean variable based on diagnosis.
ggplot(data=bcw_df, aes(x=diagnosis, y=radius_mean)) +
geom_boxplot() +
geom_jitter(alpha = 0.3,
color = "blue",
width = 0.2) +
labs(title = "Breast Cancer Wisconsin Data", y="Radius Mean")
ggplot(data = bcw_df, aes(x=radius_mean, fill = diagnosis)) + geom_density(alpha = .3)
Observations based on radius mean and texture mean variables. Each point is a single observation. the color and shape of the observations are based on diagnosis (benign and malignant)
ggplot(data=bcw_df, aes(x=radius_mean, y=texture_mean,
shape=diagnosis, color=diagnosis)) +
geom_point() +
labs(title = "Breast Cancer Wisconsin Data", x="Radius Mean", y="Texture Mean")
In general, benign has lower radius mean and texture mean than malignant. However, these two variables are not enough two separate the classes
2.3 Multivariate Data Analysis
There are three types of measurements: mean, standard error (se), and worst (mean of the three largest values). Each measurement has 10 variables so the total is 30 variables. We want to compute and visualize correlation coefficient of each measurement.
Visualize person’s Correlation Coefficient for *mean variables
# install.packages("corrgram")
library(corrgram)
corrgram(bcw_df[2:11], order = TRUE,
upper.panel = panel.pie)
Visualize person’s Correlation Coefficient for *se variables
corrgram(bcw_df[12:21], order = TRUE,
upper.panel = panel.pie)
Visualize person’s Correlation Coefficient for *worst variables
corrgram(bcw_df[22:31], order = TRUE,
upper.panel = panel.pie)
We can also see area, radius, and perimeter are co-linear. So, we need to remove two of them:
We can also see compactness, concavity, and concave.points are co-linear. So, we need to remove two of them: compactness and concave.points.
3. Data Processing
3.1 Feature Selection
Remove *_worst variables, based on discission with domain expert, the alll variables with ending worst should be removed.
bcw_df2 <- bcw_df[1:21]Remove area, perimeter, compactness, concavity
bcw_df2$area_mean <- NULL
bcw_df2$perimeter_mean <- NULL
bcw_df2$compactness_mean <- NULL
bcw_df2$concavity_mean <- NULL
bcw_df2$area_se <- NULL
bcw_df2$perimeter_se <- NULL
bcw_df2$compactness_se <- NULL
bcw_df2$concavity_se <- NULL
dim(bcw_df2)## [1] 569 133.2 Remove Outlier
3.3 Feature Scaling
3.4 PCA
pr.out <- prcomp(bcw_df[2:31], scale. = TRUE)
pr.out$x## PC1 PC2 PC3 PC4 PC5
## [1,] -9.18475521 -1.946870030 -1.122178766 3.630536408 1.1940594778
## [2,] -2.38570263 3.764859063 -0.528827374 1.117280773 -0.6212283647
## [3,] -5.72885549 1.074228589 -0.551262540 0.911280840 0.1769302185
## [4,] -7.11669126 -10.266555635 -3.229947535 0.152412923 2.9582754313
## [5,] -3.93184247 1.946358977 1.388544953 2.938054169 -0.5462667446
## [6,] -2.37815462 -3.946456430 -2.932296681 0.940209586 1.0551135428
## [7,] -2.23691506 2.687666414 -1.638471247 0.149208600 -0.0403240371
## [8,] -2.14141428 -2.338186649 -0.871180715 -0.126931171 1.4261817833
## [9,] -3.17213315 -3.388831138 -3.117243065 -0.600768440 1.5209521144
## [10,] -6.34616284 -7.720380945 -4.338098744 -3.372234369 -1.7087596141
## [11,] 0.80970132 2.656937673 -0.488400053 -1.671096176 -0.2755690974
## [12,] -2.64876984 -0.066509405 -1.525113359 0.051216497 -0.3316592904
## [13,] -8.17783882 -2.698602007 5.725193241 -1.111278747 -1.0425531111
## [14,] -0.34182514 0.967428026 1.715661982 -0.594479872 -0.4675990720
## [15,] -4.33856172 -4.856809832 -2.813639832 -1.453278303 -1.2889287269
## [16,] -4.07207318 -2.974443983 -3.122526655 -2.455909915 0.4079831402
## [17,] -0.22985277 1.563382114 -0.801813642 -0.650010973 0.4942761390
## [18,] -4.41412695 -1.417423150 -2.268323145 -0.186108659 1.4226094459
## [19,] -4.94435304 4.110716528 -0.314472408 -0.088128974 0.0566653163
## [20,] 1.23597583 0.188049490 -0.592761930 1.594942716 0.4417655273
## [21,] 1.57677384 -0.572304625 -1.799863016 1.124286473 0.3949222435
## [22,] 3.55420904 -1.661487969 0.450790799 2.071941593 0.4903150736
## [23,] -4.72904972 -3.302058265 -1.465247427 2.039355666 0.0261970715
## [24,] -4.20482441 5.123858059 -0.751740573 -0.861951843 0.4705538779
## [25,] -4.94528075 1.542395143 -1.711687827 0.046718059 1.7377012054
## [26,] -7.09232236 -2.016835734 -0.028984132 2.585675482 2.0375470912
## [27,] -3.50717666 -2.169715994 -3.891122637 -1.294620549 0.0681580703
## [28,] -3.06136021 1.874902631 2.579478032 0.128371462 0.1165625639
## [29,] -4.00374127 -0.536769860 -2.759197831 -1.896718595 0.5252107652
## [30,] -1.71380176 1.522365502 0.146058578 1.909706071 -0.5356519265
## [31,] -6.05411853 0.756511800 -0.348932376 -1.063281958 0.7454493340
## [32,] -2.89968469 -4.001774373 -2.998823809 -0.325030387 0.8546038749
## [33,] -4.55077848 -0.337239419 -0.753637681 -0.699714306 1.5471839770
## [34,] -4.98621538 1.131593223 -2.575118337 -1.216191663 -0.6693259394
## [35,] -2.98271631 -0.757756497 -3.490690279 0.054212589 -0.1669530505
## [36,] -2.76393718 0.354044421 -1.895295337 -0.533786198 0.8832432812
## [37,] -1.29505925 -0.912393466 -1.574383382 -1.042249570 -0.4143571251
## [38,] 3.74601730 1.412230504 1.730784885 -0.564945456 -0.0802687991
## [39,] 0.99719148 3.348346731 4.301788720 -0.560716245 0.4639645611
## [40,] -0.76459136 -0.885464837 -2.702540362 -0.274538185 -0.8097169787
## [41,] 2.14906252 1.922300194 -1.179446370 -1.112219391 -0.4480774771
## [42,] 0.09324934 -2.258764532 -1.903051997 -1.441039161 1.7038647386
## [43,] -9.08001023 -2.016898441 2.139343894 -1.068304028 -0.7972299505
## [44,] -0.98958304 -0.984064148 -2.308702241 -0.276582144 0.6399478981
## [45,] 0.29328849 0.136978564 -3.299029123 -1.008898141 0.0224910920
## [46,] -5.37620991 0.134758404 -1.677366657 1.506369463 -0.1518645822
## [47,] 4.57790860 -1.482915508 0.042037623 0.295968708 0.7132249498
## [48,] -1.69851237 -2.350203862 -3.075383081 -0.065962912 1.0555376469
## [49,] 2.13456708 -0.095745364 -1.491099878 1.120077655 0.0679774156
## [50,] 1.56610099 1.207370855 -0.368834570 -1.474331566 -0.1725985690
## [51,] 3.53979091 1.281368110 1.017315805 -0.607621596 0.2194428358
## [52,] 3.15503795 1.687473796 -0.495857416 0.193841543 -1.4386516886
## [53,] 3.44745515 0.497780720 -0.152383875 0.574980496 0.0522688899
## [54,] -3.29964761 1.129943574 0.825666100 0.981853085 1.1942122234
## [55,] 0.67402621 2.114549137 -1.394992302 -1.042221635 -0.2416042153
## [56,] 2.85564577 -0.152588874 0.428557855 0.482635650 1.5092086632
## [57,] -4.64465207 2.308301508 -0.728168145 0.639379104 1.1573061797
## [58,] -2.17494916 -0.971261438 -1.942179421 -0.736670095 0.3954358798
## [59,] 3.71818738 1.786070097 1.278807604 0.115464169 0.5258196576
## [60,] 4.13232693 -2.401679261 -1.241865694 2.046545722 1.1646276518
## [61,] 2.38373822 -2.755233814 1.213018303 1.792911568 3.3352233901
## [62,] 2.57661610 -3.135912650 1.399049169 -0.763194998 2.7816479152
## [63,] -4.75492832 -3.009032875 -0.166094576 -0.605295233 -1.1406976712
## [64,] 2.31209785 -3.265116721 2.793766025 0.565229094 0.3814984103
## [65,] -1.69012080 -1.539322116 -1.798262954 -1.389367072 1.2116088977
## [66,] -1.81071217 -0.722104815 -1.464960560 -1.197676214 1.4267861675
## [67,] 2.78347559 -2.308617372 0.472309720 -1.605747397 1.6114402596
## [68,] 3.51555502 0.657730736 0.590855071 -0.010793189 -0.0205709988
## [69,] -4.32619605 -9.194435552 1.491650337 0.319666023 -4.7240139158
## [70,] 3.25841241 0.937013647 0.204949679 1.089113223 0.4599452518
## [71,] -2.70221851 4.433240985 0.307075192 0.488263229 -0.3721675732
## [72,] 0.30758513 -7.381317396 3.815728542 2.131680166 -2.7083196796
## [73,] -5.49886689 -0.937500513 -2.208188675 -1.522456429 -0.9240784393
## [74,] 0.36139121 -0.119633821 -2.039161544 1.057953093 -0.7564437850
## [75,] 2.62766457 0.696696349 -0.583428281 0.337884296 -0.4671344130
## [76,] -1.42691206 1.965372092 1.110961327 0.752248984 0.5394071070
## [77,] 0.83378424 -1.963876860 0.789737653 3.434609101 2.3524809639
## [78,] -6.22541880 -0.919260690 0.089748341 2.536926544 -0.0620812262
## [79,] -11.65845644 -4.744442593 2.004115633 0.318768543 3.3883795562
## [80,] 2.01980045 0.254675746 -0.647302452 0.059199217 0.0547996477
## [81,] 1.63694460 -1.714440587 0.433824539 -1.526622964 1.7678261507
## [82,] -1.16643527 -2.512305286 -1.904043397 0.637750373 -0.2359734956
## [83,] -10.75977535 2.255997858 0.038801648 -0.389043228 -1.1862447821
## [84,] -5.03038488 -0.773728357 2.679979922 -1.665039071 0.3113456414
## [85,] 2.17255269 -0.496441169 -0.948257444 0.207037052 0.8845677371
## [86,] -3.28534463 1.666770480 0.146802675 0.437108401 1.3673667927
## [87,] -0.60707378 -0.162071919 1.635935419 -1.113531850 0.5403198078
## [88,] -3.58041324 2.204721916 -1.703037100 -0.800589442 -0.3650009185
## [89,] 0.93333687 -0.926885919 -0.040128345 -1.352209082 -0.0648850467
## [90,] -1.25849730 -1.014684255 -0.080521995 2.049531496 -0.1373994614
## [91,] 1.58686770 1.618232954 0.309726682 -1.091038889 -0.0537268234
## [92,] -0.25227559 0.530884425 0.588809736 -0.110441165 -0.4283042881
## [93,] 2.84492835 2.891103732 0.527524677 0.598290300 -1.4344348070
## [94,] 1.96322268 0.964308498 -0.081136715 -0.093998029 0.5495403920
## [95,] -2.77342525 -0.557509977 -0.605238702 0.499390598 -0.4994662006
## [96,] -4.39236314 2.121640892 0.579000549 -0.776729960 0.3035669597
## [97,] 2.58980407 -0.213446120 1.034701089 0.661423462 0.5402889624
## [98,] 3.90090576 -1.189020421 1.550616806 -0.934952821 0.7074978792
## [99,] 2.81575365 -0.367560567 -1.350247556 1.736886645 -0.2840715251
## [100,] -0.61573908 -0.638349988 -0.199743121 -1.096533937 -0.1185853914
## [101,] 0.43247968 1.390820523 -0.082646762 -1.933578565 0.0344302397
## [102,] 4.55102442 -3.525683788 -0.215074716 1.090925794 2.7559240651
## [103,] 3.44515217 1.423370040 -0.088646005 -1.709223842 0.1065229834
## [104,] 2.11410008 -1.847747782 -0.556184595 -0.463948150 0.4744968363
## [105,] 2.68898618 -1.418813334 0.968298772 -0.002857011 1.2554137475
## [106,] -3.21109134 -4.043198634 -2.712997305 1.327457319 0.2214783192
## [107,] 0.74861266 -1.796058175 -0.567866143 -0.560006237 0.9322757208
## [108,] 3.15622889 1.034838878 -1.489373670 -0.592646911 -0.5136339075
## [109,] -13.04464395 -0.980650357 0.598286247 1.471636087 0.5993856696
## [110,] 2.22672053 -0.666823902 -1.090600727 -1.077353762 0.2988661489
## [111,] 2.49063954 -2.596401708 1.668257671 0.632929090 1.1557305724
## [112,] 0.10325957 -2.278139015 2.107708229 -0.351536677 -0.6219347413
## [113,] -3.58813694 -3.922881433 2.045207163 -0.231562584 -5.4604591892
## [114,] 1.34776279 -3.553098748 1.730668471 -0.046949434 0.3449474850
## [115,] 2.50791098 -3.248461200 -1.686140767 1.188915291 0.4551865326
## [116,] 2.04423086 -0.304616836 -0.533369397 -0.489411120 0.0678524055
## [117,] 2.09522559 -3.663872062 3.629007335 1.538433194 -2.2345636748
## [118,] -3.10779316 -1.568009873 -2.611638159 0.617924024 1.1807403791
## [119,] -4.95236801 -2.382749650 -1.933405900 -0.610304229 0.1480794337
## [120,] -0.85026612 2.304707468 0.566963050 -0.043586897 2.0922055990
## [121,] 2.96339173 -0.371179883 -2.064716427 2.070684315 -0.1628943517
## [122,] -3.33120209 1.324392029 0.727373652 1.002316780 0.9328861016
## [123,] -12.88327621 -2.314585873 6.323133317 1.940496559 3.1574494112
## [124,] 0.77006610 0.064052860 -1.133411514 2.508256103 -0.0202192366
## [125,] 2.20057925 0.734958544 0.266845303 -0.037586447 -2.9314571580
## [126,] 3.14064881 1.875758557 -0.669779705 0.303065257 -0.4077106627
## [127,] 0.63831885 0.910564828 -2.140840449 -2.139033534 0.4287624850
## [128,] -1.91744627 3.534971966 1.253821297 0.335703696 -0.5885511025
## [129,] -1.40762980 -1.303782215 0.640864876 1.885297508 0.0362201276
## [130,] -4.63960895 1.480714297 -1.169651383 -1.217534223 -0.1779160105
## [131,] 1.87581684 -1.421979452 -1.069870821 1.707830258 0.8837714798
## [132,] -1.43081046 1.048681220 -1.260901861 0.532720319 0.6261456617
## [133,] -1.35143790 1.153126842 -1.208729712 -0.827378497 0.9859398192
## [134,] 0.70849143 1.566853657 -0.669405084 1.685780647 -0.3390165106
## [135,] -2.16950708 2.823776101 -0.561613332 -0.660250673 0.4745525764
## [136,] 1.97510247 0.419018755 -0.380240597 -1.737931013 0.3083668329
## [137,] 2.59850310 0.481911436 1.870726668 -0.437633248 -0.0160686443
## [138,] 3.25514318 0.417953651 -0.691197447 0.659273518 -0.1214593563
## [139,] -3.77870160 -0.859625218 3.667773435 2.046019895 2.1818702714
## [140,] 1.99028348 -1.328186508 1.134246527 2.044634146 0.2519061287
## [141,] 5.01059989 -0.574194748 -0.841697543 2.167755281 0.8812268193
## [142,] -1.34383800 1.273650278 0.555354894 0.574366142 0.4704353120
## [143,] 2.45380972 -0.897665441 0.352823033 -0.367668079 1.1033160270
## [144,] 1.83566648 0.090946742 -1.444010288 0.671957291 0.1360791853
## [145,] 4.34266862 0.892786708 0.638694049 0.425252734 -0.9556015217
## [146,] 0.73216868 -3.698927716 0.657926113 2.234161633 0.3361716375
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## [159,] 3.65143365 0.674055644 -0.906188637 1.509832817 -0.2935538042
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## [179,] 4.97132782 3.383227983 0.439451738 -1.576183104 -1.0328868993
## [180,] 4.06045289 1.245070643 0.573972801 1.703893823 -0.6153230400
## [181,] -9.50430706 5.598558052 -0.636679193 0.224024081 0.4061861282
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## [192,] 1.71622508 0.542688019 3.295475582 -0.087253972 -0.0840995519
## [193,] 5.56084294 0.477427493 4.123834207 -2.350422636 1.0515357688
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## [204,] -4.55058603 -3.083925626 -2.268408346 -2.189192919 3.4583122917
## [205,] 0.78050321 -0.652275325 -0.643091145 0.214279700 0.4372951306
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## [207,] 3.45185811 -1.305789765 -0.029238791 0.330213202 1.8602747487
## [208,] -0.44615183 2.785257008 0.443991604 0.471613571 0.5295236919
## [209,] -0.31416180 -2.075734301 -2.081480386 -1.067600421 0.2176779819
## [210,] 2.05738166 2.470613908 -1.460433790 1.866439637 -1.8369468233
## [211,] -4.80474158 3.026440019 2.741606351 0.283114502 -0.1937940455
## [212,] 2.99607430 0.396429212 -0.595941573 -0.207862040 -0.5678601226
## [213,] -12.27421974 7.536778599 10.103533703 5.189703614 3.8491201120
## [214,] -3.36923202 -2.585550416 7.085840019 -0.367171665 -2.7681374358
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## [219,] -4.93923501 2.845820436 0.913075404 0.334889341 0.4829010175
## [220,] -4.29429880 4.662172958 -0.006834994 -3.650173128 -0.1785458275
## [221,] 2.37141521 0.732757814 -1.524685925 1.851700285 -1.1820779548
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## [224,] -1.80166175 -0.166314618 -2.626288708 -0.643175553 0.5214235661
## [225,] 2.47618073 1.417329346 -0.316254972 0.328213945 -0.6614306092
## [226,] 0.82531310 1.249148354 0.267725157 2.308595141 1.0139214702
## [227,] 3.89127342 -0.538097276 -0.880783727 1.037886765 0.8083176466
## [228,] 0.38923560 0.613875324 -1.351679911 1.174159176 -1.7883197584
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## [232,] 4.01560693 1.353056834 -0.360155815 -2.633480577 -0.7345986421
## [233,] 3.67318128 1.290493562 0.424237023 -4.597664394 0.7402578603
## [234,] -3.31340866 3.935689268 -0.205273062 -2.116361469 -0.9691280654
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## [237,] -8.39645911 4.150252991 0.046927784 -0.551357625 0.2878270868
## [238,] -2.64524110 3.947699392 1.370675284 0.207636553 -1.4038189712
## [239,] 0.68116951 1.134992457 1.232581929 -3.861102774 -1.4270964368
## [240,] -3.34735048 2.152675899 -1.107968825 -4.345184373 -0.0623295495
## [241,] 2.22576208 1.213931555 -0.192244621 1.469984705 -0.0196978073
## [242,] 4.47364832 1.739598699 -0.887426246 0.763980319 -0.6046080177
## [243,] -1.32145867 -4.785266054 -0.661952674 -1.020298051 -2.1481343740
## [244,] 1.84846341 1.582735509 1.262806090 -0.801397452 -0.7107861777
## [245,] -3.79222888 1.025330459 0.897845626 -0.759791922 0.7571812276
## [246,] 2.27931254 -2.075859442 2.428512195 -1.185017124 2.8564899050
## [247,] 3.22593164 1.171043084 0.264431658 -1.002062865 -0.8936812738
## [248,] -1.02499890 -2.359186109 -1.615464155 1.144955805 -4.1408350383
## [249,] 2.58028546 -0.728572047 -0.547660903 -2.330028998 1.8336515859
## [250,] 2.48369783 -0.460191483 -0.598393817 0.997839640 0.4299455562
## [251,] -7.13756174 2.073018195 1.087430513 0.715703759 -0.8191801992
## [252,] 3.02981522 0.648897838 0.310409540 0.579772365 0.7322406058
## [253,] -7.07878207 -0.527758800 -1.278861780 0.650990489 -1.8521950854
## [254,] -1.31294375 1.773865017 -1.671161321 0.694009370 -0.1127114795
## [255,] -3.70838653 2.805008998 -1.754649703 0.903310417 0.0709235923
## [256,] -0.46007427 -0.393819769 -1.003815294 1.074442849 0.4271589571
## [257,] -6.38703001 1.821491443 0.479427881 -1.694969593 -0.5561879657
## [258,] -5.25092469 -3.891107226 -0.833120389 1.680122512 0.7836374535
## [259,] -8.72618338 -3.276993966 2.901146761 -0.276944482 1.0609133753
## [260,] -3.68807276 -1.064709236 -3.512498419 -4.769000799 0.8017786584
## [261,] -3.37528098 3.368264175 -1.765224543 -2.076130195 0.5972560049
## [262,] 0.83947101 3.497008034 0.182323228 -1.241480335 0.1084218681
## [263,] -3.28148526 0.989802279 2.552140777 -0.122718992 -0.3505294554
## [264,] 1.90709089 3.119201237 -1.062121558 -1.061133233 -0.9564549675
## [265,] -1.61336234 2.472397898 -1.989384336 -0.378757895 0.4428590571
## [266,] -6.61390681 5.997998811 0.988507976 -2.884219766 1.6938934564
## [267,] 1.46338831 -1.685149061 1.168877382 0.325375950 0.4644646263
## [268,] 2.01038350 1.102516460 1.336847795 -1.614259260 -0.6911126965
## [269,] 2.28233204 -0.009485293 -0.450043551 0.295519714 0.8031608330
## [270,] 0.73909276 -3.149749158 1.468565664 -0.314616789 -0.9468561582
## [271,] 4.50260070 3.166486414 -0.187896260 0.390816184 -1.3839888843
## [272,] 3.15597737 -0.409941090 -1.107842420 1.969885542 0.0585356134
## [273,] -7.66940121 3.072602737 1.480656591 0.551916238 -0.8854262609
## [274,] 3.63593673 -1.588189625 0.715650110 0.669795890 1.5759444757
## [275,] -0.33704893 3.141609173 -0.115619749 -1.813699425 -0.0352621513
## [276,] 1.27546111 -0.848306563 3.067369195 1.165472001 2.6757698121
## [277,] 4.34219338 0.321694999 0.388133185 1.106173921 1.5020111044
## [278,] -0.01741547 3.456302110 0.306650981 0.475151814 -0.4003842967
## [279,] 3.48935577 2.631766723 -0.072124181 -0.307707020 -0.5245541387
## [280,] 1.86490793 0.901271186 -0.870402828 1.027910020 0.2316732520
## [281,] -4.95590744 1.339944038 -1.455772409 -1.466907423 0.6119216765
## [282,] 2.46855062 0.137904923 1.793307382 1.546266616 0.6967490495
## [283,] -3.78173258 1.900235409 -1.742708503 0.391939754 0.3389814297
## [284,] -2.63493731 -0.576647607 -1.992946242 0.272309546 -1.1957159307
## [285,] 1.37147827 -0.005800358 1.547927203 0.583925361 -3.0022368265
## [286,] 4.13524399 1.375298123 0.877276691 -0.059803630 0.5970712749
## [287,] 0.68633639 -1.693519506 1.025310679 -0.874708540 -2.1727638053
## [288,] 4.30833870 1.976746804 -0.251085558 1.573526614 -1.9816674884
## [289,] -0.40295486 -3.720160654 4.582436940 0.215721385 -0.8070907499
## [290,] 3.00096526 -0.353848878 1.232930128 -0.716826045 1.3114083326
## [291,] -3.13125303 -4.269702670 5.861122345 0.596058607 -4.1973346842
## [292,] 0.41746954 0.807865734 -1.092330348 -0.089650892 -0.2568431865
## [293,] 1.41897459 -1.392752638 -0.836251021 1.104473313 0.3640802623
## [294,] 2.86806475 0.268408338 -0.468574962 -0.245287741 0.5574288140
## [295,] 3.36288672 0.806890637 -0.806369895 1.662223414 -0.0505417655
## [296,] 3.31208587 1.440908382 -0.583119519 1.783361666 0.0192555651
## [297,] 4.76551701 0.542484530 0.893082182 1.729539559 -1.0008319932
## [298,] 2.38378528 0.823391074 1.982219343 0.055206875 0.5052838506
## [299,] 2.78464581 2.530807159 -0.883257225 -0.259446372 -1.6463839898
## [300,] 3.39085817 -0.753301131 1.770235939 -0.276430081 1.0849483019
## [301,] -6.58444233 1.483557076 0.361022239 1.187401386 0.1208047145
## [302,] 1.45405111 -0.591422478 1.145332613 0.078947827 -1.0867825344
## [303,] -7.17661843 -0.055097580 2.011148288 0.082703332 0.6651964595
## [304,] 3.57568917 -0.890799182 0.261257526 -0.253872371 0.5990662990
## [305,] 3.05434514 0.179055836 0.621226832 0.261168580 -0.8959467593
## [306,] 3.07173303 0.305789373 1.258146621 -2.206685025 0.6058786167
## [307,] 3.85015201 1.523386003 -1.143503482 0.814334011 -0.4926180820
## [308,] 5.38551771 -0.555766489 0.559577694 0.471440565 0.3994468273
## [309,] 4.65358767 3.062692587 -0.075942289 1.507190163 -1.2716964644
## [310,] 4.02400169 2.540671520 0.352906609 1.513056174 -0.6669118526
## [311,] 3.34487880 0.068502773 -0.269955756 -0.627084568 1.1246979202
## [312,] 3.29694105 3.135950089 0.148761476 0.741837997 -0.3941040424
## [313,] 2.13452598 0.004388987 -0.055090483 1.786540911 -1.2993021931
## [314,] 4.03446724 0.240486452 -1.326959165 2.438086999 -0.2771454326
## [315,] 3.76210430 -4.394333943 3.946735131 -0.306998155 4.7854456445
## [316,] 4.86695697 2.337158334 -0.168146877 0.694278950 -0.8202171408
## [317,] 4.74307511 1.796820963 0.169570993 1.550246788 -0.5346670358
## [318,] -1.89365006 2.390134936 -1.675017462 0.711402276 -0.3830648490
## [319,] -1.57154834 -6.503377021 2.165253786 0.030049446 -1.0524851013
## [320,] 4.02308037 1.400973753 3.183698584 0.019535088 -0.1794905224
## [321,] 1.29372783 -3.467757378 1.108552569 0.766005357 -0.2103251163
## [322,] -1.83322742 4.317723823 0.316406925 0.996312898 -0.2544647520
## [323,] 1.80878902 -0.395858988 -1.229252510 1.275533990 -0.0070705863
## [324,] -7.23012357 0.035670411 -2.838568987 0.038607870 2.4525784786
## [325,] 3.14288478 0.741873771 -0.861593396 0.754499772 -0.2998611546
## [326,] 2.88472980 0.464323069 -0.475325102 0.761631787 0.8524662824
## [327,] 3.14688506 1.769691255 -0.035802185 1.505914596 -0.3529936101
## [328,] 4.62431058 1.834004631 0.064174505 0.094110332 -0.7997554706
## [329,] -2.24853190 0.348229535 -1.063814825 -0.231555660 1.0036176419
## [330,] -2.10594822 -1.120987593 1.773597643 0.262444379 0.9599662498
## [331,] -1.78437991 0.268984957 -1.721001037 1.031779098 -1.1840685475
## [332,] 0.52723271 -1.264758769 -0.919631937 0.429094010 -0.5602900988
## [333,] 3.21067592 -1.102473082 1.610564041 -0.486005834 3.4562087554
## [334,] 4.38256677 0.760434627 -0.400245248 0.586341023 0.3762481427
## [335,] 3.80666840 0.909118626 0.442778081 -0.949587668 0.3513268837
## [336,] -3.31675558 1.575666422 1.359532256 -0.693532863 0.9081313503
## [337,] 2.39117199 -0.989160421 -0.756844005 1.553615921 -1.4301998125
## [338,] -4.67605183 0.967741443 -0.291016193 -1.073327945 0.1324405011
## [339,] 3.06499827 -1.134839030 0.374293207 -0.626302932 1.4424249065
## [340,] -7.34675421 5.238014242 0.316677175 0.431659928 0.7054132905
## [341,] -0.29505357 -0.226735533 -1.088458865 0.946589841 -0.7284538257
## [342,] 1.93726491 -2.542750760 -1.000543159 0.025717223 -1.2050388549
## [343,] 2.07535283 -1.804931340 -1.166053416 1.141225718 0.4132078419
## [344,] -4.97078859 1.331400687 0.870211875 -1.290995242 0.9611232170
## [345,] 2.17500311 -0.958068260 -0.234058923 1.852842435 1.4804780811
## [346,] 2.42941383 -3.444173357 3.453905770 0.493225969 1.0448376978
## [347,] 3.36500493 0.562434015 -0.192404359 -0.569877839 0.3514194212
## [348,] 1.20553704 1.315886497 -0.929922572 1.703291193 -0.7180879050
## [349,] 3.32315522 -0.474753848 -0.897496041 0.812772706 0.5848648524
## [350,] 1.92709976 -1.460184989 -0.100554033 1.819163615 1.9342391900
## [351,] 4.03828183 1.355724562 0.537868401 0.833178809 -0.1785899127
## [352,] -6.17684877 -5.103514894 0.520682438 0.939912167 0.6059916654
## [353,] -10.92468559 3.699998472 -0.890910165 2.341447352 0.4883558953
## [354,] -2.11663452 -0.296368297 0.866722769 -1.449012414 0.5390360723
## [355,] 3.00954689 -0.243545681 1.981989096 1.678249015 -1.7021761518
## [356,] 0.98178471 -0.796551513 2.367338148 0.156784682 -1.5450702314
## [357,] -0.35757923 -2.125968004 0.707586438 0.184582384 0.1024797906
## [358,] 3.19111003 1.847526445 0.099310968 -0.022762481 -0.1788449118
## [359,] 2.99060189 -1.629958015 2.554470244 1.344703963 -0.0407045185
## [360,] 3.19110631 -0.578830133 0.489333658 0.044554975 0.7229711106
## [361,] 4.58792496 2.758699732 0.979680613 0.362519486 -0.2198878361
## [362,] 2.48373073 1.187894183 0.348470172 -1.255187427 0.1292803966
## [363,] 2.39655663 0.250524355 -0.326850211 -0.277129058 0.3545026443
## [364,] 0.77892982 2.122475872 0.320506876 0.079179253 0.0857346246
## [365,] 3.13722800 1.486714010 -1.197824530 0.453050754 -0.8401627046
## [366,] -2.73260737 3.941699950 -0.017154393 0.299846924 -0.2830181364
## [367,] -6.22155168 1.388887616 2.731833465 -1.092200460 0.5821459417
## [368,] 2.22182078 0.356846723 -1.100713817 0.186058986 0.2390645934
## [369,] -5.30247440 6.717504288 1.484358772 1.774948969 1.0726100091
## [370,] -7.24162919 3.652255530 -0.155565119 1.225750236 -0.2973284171
## [371,] -4.20352196 -1.175208822 -1.588620367 -0.977982825 0.1174778025
## [372,] 2.49743889 2.016761090 -0.730631718 1.983278202 -1.1349569236
## [373,] -3.63181933 1.954720962 -0.828046542 1.378539602 -0.9935467144
## [374,] -3.51615443 3.855214937 -1.021630135 1.382926471 -0.3203822623
## [375,] 2.61264945 1.101505251 -1.239645246 0.908676936 -0.3781480185
## [376,] 0.09602363 0.129733431 -1.669994689 1.526133855 -0.4027131208
## [377,] -2.04305926 -6.421169887 1.273001142 -0.109645013 -4.5986701548
## [378,] 3.06405348 2.180177374 -0.278817341 -2.935974046 -0.4728184934
## [379,] 1.60217670 -0.292338995 -1.584830948 0.908898609 -1.2347827015
## [380,] -3.76262144 -5.980033549 -4.876070721 -1.119887331 0.5637410178
## [381,] 0.92475292 -2.300457270 -1.594708683 1.674764766 1.4257318574
## [382,] 3.28545874 -0.201134359 -0.627204410 0.612295926 -0.1706180435
## [383,] 1.55348525 -0.978996316 1.195507876 -1.773616381 -3.4960491469
## [384,] 0.39842934 -2.159312724 -0.944773717 0.372153562 -1.0117604959
## [385,] 2.29854534 0.931258175 -1.128959899 1.451099756 -1.5542727004
## [386,] 0.54242409 1.315910048 0.994879134 -1.483570015 -0.2027995563
## [387,] 2.05700950 -0.320153445 -0.122350756 1.019962435 -2.0773397982
## [388,] 3.42150749 2.443368505 0.045009146 0.785450794 -1.6017729103
## [389,] 0.47199125 -3.699574203 1.952067274 0.995440694 -3.8110426797
## [390,] -4.69936579 0.195783486 3.753730061 -1.003344863 -0.3283619127
## [391,] 3.64017727 -0.786168171 -1.161124120 2.097029762 0.4236952100
## [392,] 3.59152918 -2.602797030 1.850401478 0.089806410 2.4403924824
## [393,] -4.14544978 -0.766814129 -0.887194062 -0.008362190 0.6044479220
## [394,] -7.66539681 0.859727681 -2.151756805 0.254499442 0.2362625219
## [395,] 2.00861205 -0.429311811 -0.103997306 -0.160151144 1.5081790902
## [396,] 2.91826573 1.698977554 0.295467269 -0.413812779 -0.3635999269
## [397,] 0.50029759 -0.106637635 -1.027843564 -0.304616687 -0.1389987468
## [398,] 1.90981814 0.650821226 1.449013512 0.400350786 -2.0611887662
## [399,] 3.78177167 0.325859645 -1.057150017 0.605475000 -1.5248138903
## [400,] 2.70601296 0.219472629 -0.314228262 0.055204339 0.0482116178
## [401,] -6.28414409 -2.034757025 -3.179284831 0.155406788 -0.2023110488
## [402,] 3.42775463 0.991737410 -0.731051348 1.342541631 -0.2356318119
## [403,] 1.99962900 0.293068594 0.618659534 -0.352201845 -1.1637958353
## [404,] 2.47111877 0.334752480 -1.481058853 0.464828450 -0.0489496329
## [405,] 3.64405137 1.240273815 1.385405524 1.612540488 0.1728393129
## [406,] 2.34412427 -0.682141105 1.131738080 -0.302837266 0.5411994776
## [407,] 1.14199209 1.960446508 -1.239628958 1.477776286 -0.4837568556
## [408,] 1.34966974 -0.369249002 2.484489568 -1.139714833 -1.9041890533
## [409,] -2.76094145 1.077685260 -1.178586912 0.413794976 0.1644668356
## [410,] 1.96759233 0.175693916 0.420361503 -0.785620740 0.8604953761
## [411,] 2.92861019 0.494421191 -1.016176763 -1.684940447 0.5652328718
## [412,] 2.92380175 -0.377000536 -0.886014238 -0.115243469 0.9848137147
## [413,] 3.99267514 -0.959012260 0.204224433 -1.508902626 -1.7077458028
## [414,] -0.15500167 0.437623166 -0.461040030 -1.453254393 -0.8550878945
## [415,] 0.93326963 2.104094210 1.431657320 -2.891717258 1.2742945854
## [416,] 1.92792536 -0.891682104 0.042307522 -0.558392976 1.2792046734
## [417,] 2.62003325 -2.499901968 2.432858840 -1.876362157 3.1480466996
## [418,] -5.99833869 0.090949196 1.709697317 0.946542059 1.1740030698
## [419,] 2.91930912 0.009204582 -0.900511128 1.789753754 -0.5764724361
## [420,] 3.33900683 0.022205192 0.502858739 -1.141258134 1.5633857813
## [421,] 2.01314368 -0.777767778 0.125468395 -0.659155792 0.0219104429
## [422,] -1.98671401 -2.314011967 1.235217081 1.768220225 -0.1438692164
## [423,] 1.66813615 -0.861560770 -1.009417991 1.322731355 0.2813203167
## [424,] 0.37085180 -0.113512779 -0.997485893 -0.155233295 -1.4746581730
## [425,] 1.84733447 -2.538995601 2.003584668 0.483946194 3.5055609223
## [426,] 4.69890766 0.431922385 0.005300424 -1.369403704 0.0850247711
## [427,] 1.28205907 -2.548666752 -0.083786622 0.770833997 -0.5564209652
## [428,] 2.31221232 -0.401678043 0.274381769 -1.668994639 0.5362392557
## [429,] 4.65498928 0.781611021 0.191953023 0.493247906 -0.5356508029
## [430,] 3.94000659 2.028231657 0.691127602 0.512954900 -0.3398155529
## [431,] -4.94550694 -3.003421435 -1.752529645 -0.671769430 -2.8622552978
## [432,] 0.91499842 -2.476833776 0.362287911 0.261736218 -0.1383500423
## [433,] -4.54511193 0.815283142 -0.518299038 0.915534201 0.0714231738
## [434,] -4.43843746 0.991566424 1.441051113 -0.574529073 0.3572756344
## [435,] 2.19305464 1.803766114 -0.434726892 0.953104432 -0.5533135626
## [436,] -0.66385679 -0.436476802 -2.678425146 -0.728585540 0.0277629459
## [437,] 2.23890605 0.454189872 -0.465118333 0.188558748 0.8275650396
## [438,] 2.12331215 1.193746541 0.489940891 0.854644353 0.1058427332
## [439,] 2.61301823 1.830449830 0.763657618 -0.822442197 0.3005228170
## [440,] 3.20814515 2.233177743 -0.166078298 1.129064342 -1.2590809462
## [441,] 0.30648073 -2.183077955 0.039251705 -0.486027975 -2.0876130896
## [442,] -2.47018342 1.498506224 0.590933256 -2.265358224 -1.4046042766
## [443,] 3.45168126 2.134583340 0.196989342 1.532828161 -0.9420463979
## [444,] 3.89709781 -0.730133530 2.134193239 -0.780486142 0.8318195830
## [445,] -0.98086448 2.208486712 -1.698424795 0.970118413 -1.1822180725
## [446,] 1.25614629 -1.066752885 0.259247160 -1.240660490 0.3928701037
## [447,] -3.24256054 1.776795240 -1.791577273 -2.482874793 -0.5498682865
## [448,] 1.55585043 1.037014643 -1.300101127 0.621126067 0.3790198963
## [449,] 1.24815985 1.587442008 -0.326126484 -0.924508658 -1.5340001134
## [450,] -4.32784530 4.045772565 -0.192336290 -0.290357973 -0.6103038017
## [451,] 1.07650412 -1.802032564 1.779475879 -1.627520204 -3.7384644652
## [452,] -2.50954497 2.526584455 0.797500590 -0.822950476 0.4288865709
## [453,] 2.21514321 -0.029865010 0.635900610 -3.373732618 -0.4795727546
## [454,] 1.17279871 0.474422064 -0.481147553 2.142074589 0.2430866392
## [455,] 2.83380799 1.017230750 -1.485323075 0.456004436 -0.1146041549
## [456,] 1.85545330 1.570011674 0.825756166 -3.926794310 0.2206325260
## [457,] 1.32744636 -0.776412499 1.255653387 -3.782215661 1.2439684480
## [458,] 2.80030738 1.664836753 -0.193847761 -2.231144249 0.2050662449
## [459,] 3.17177797 2.073908798 0.074834422 -1.868185223 0.2091427763
## [460,] 4.08348433 0.484283961 0.630808963 -3.399741429 0.0182086861
## [461,] -3.47243837 1.671413723 0.856073545 -1.155750941 1.3813559853
## [462,] -16.30488665 7.769016888 6.229933870 2.326026514 1.7079531344
## [463,] 2.55786437 2.491852880 0.170162861 -2.107901855 -0.9783779753
## [464,] 2.96627878 0.068786611 -0.777727248 -0.046625788 -0.2280062503
## [465,] 2.75500634 1.792341696 -0.757147909 0.024097077 -1.2827836689
## [466,] -1.36913518 -2.108156394 -0.852969723 -0.723132156 -3.8210171185
## [467,] 0.41729731 -0.116417262 -0.535671262 -0.363878888 -1.5121265752
## [468,] 3.83502421 -0.898388162 0.699948069 -0.219746414 1.3359873635
## [469,] -5.92575082 -1.227216861 1.720074272 -0.473165926 -2.8810043579
## [470,] -0.64491119 -3.422999542 0.607750202 0.234280083 1.2086350824
## [471,] 2.68148698 -1.442286469 0.339105123 -0.244601788 0.7919949893
## [472,] 2.03986918 0.902461858 2.840741857 -2.883294431 1.0158156443
## [473,] 1.39806620 1.770668244 -1.478260847 1.306959009 -1.8037276563
## [474,] 3.53330636 1.245758018 3.382434941 -4.661948944 1.8740788308
## [475,] 1.98877953 -1.897792693 -2.029212586 0.911103793 -1.2304717877
## [476,] 1.99642872 0.206189711 -1.639882150 1.038296903 -0.9034160493
## [477,] 0.52020039 0.972512103 -0.323850426 -0.543521127 -1.4281800593
## [478,] 3.16958159 2.087215768 -0.977945244 0.386756799 -1.4182276802
## [479,] 2.20077374 -1.284908734 -0.886619084 0.700486694 -0.1796630638
## [480,] -3.82107090 -2.303209735 0.027521977 0.669669644 -1.2886313605
## [481,] 2.98286009 0.672747298 -0.589970772 -0.593827781 -0.4615631694
## [482,] 2.47887396 2.361880555 -0.432234246 -0.383132558 -1.0372087673
## [483,] 1.27099312 -0.509385643 -2.237023334 1.670906156 0.1175030515
## [484,] 2.23319191 1.297562775 -0.900644424 0.433712494 -0.1827652155
## [485,] 0.05613371 0.227183495 -2.253532782 2.708217480 -0.8010805172
## [486,] -2.31535334 -4.385275755 1.776847691 0.968563355 -2.6430509823
## [487,] 2.28232306 2.464672105 -0.820466562 -0.040767325 -1.0918206156
## [488,] -4.75043499 1.488114177 -1.252648906 -0.052540766 0.0965398306
## [489,] 1.72479328 -0.997300316 -0.080167877 1.063711106 1.4343549437
## [490,] 0.74112965 2.449879331 -1.995953713 -0.457537180 -0.2610613824
## [491,] 2.89176621 0.977084588 -0.804935982 -1.719266485 0.0289580691
## [492,] 1.65306732 4.551659142 0.751661685 1.646873743 -1.4018393993
## [493,] -3.10079133 1.235066483 1.286223339 0.608113830 1.1212732858
## [494,] 4.06069761 0.560461075 2.174771231 1.374658804 -0.1992898120
## [495,] 2.79087498 1.076940539 0.843799658 -1.109231547 -0.0048653882
## [496,] 1.47362330 1.589695437 0.319710133 -0.798129881 -0.1579186103
## [497,] 0.22919297 -1.514570755 -2.214334625 0.555081328 -0.2509810467
## [498,] 2.55101378 0.763228924 -1.607988258 0.059875184 -0.5054003068
## [499,] -3.71243855 1.057755506 0.521494703 1.395773631 -0.3682903454
## [500,] -5.09036286 2.017432706 -0.708746074 -0.082722167 -0.3834794788
## [501,] 0.60008810 0.837717560 -0.686437977 1.154318132 -0.9815689274
## [502,] -2.78794673 -3.382584454 -0.752414277 -1.332009710 1.5841377430
## [503,] 1.40753273 -1.504446838 -0.353584900 1.120754558 1.8100776146
## [504,] -7.25279714 5.490904302 1.909245947 1.894050092 -0.3960294570
## [505,] -1.29772469 -7.723057325 -0.688309017 2.890184346 2.0135831354
## [506,] -1.07574673 -8.287483337 0.433810751 1.952471847 1.3946448821
## [507,] 1.24866183 -1.594281055 -1.355282076 0.126156474 -0.0233994859
## [508,] 1.25582341 -4.113567176 -0.412366931 1.053246923 1.1385251781
## [509,] 1.16550969 1.664229389 -0.737229323 1.760617958 -0.7377031703
## [510,] -4.09054331 -2.800463137 -0.506987325 -1.975580106 -0.1327084112
## [511,] 1.88597978 -1.670721680 0.119692299 1.217144238 -2.5658122684
## [512,] 2.76500279 2.159148972 -0.021077623 1.608860107 -0.7157489170
## [513,] -2.22503669 -1.939927827 -2.283594176 -0.339561903 0.5363853531
## [514,] 1.13058210 1.409761524 -0.564556376 1.993206904 -0.5280229629
## [515,] 0.73312738 1.941988438 -0.274994234 -0.337526159 -0.6604100570
## [516,] 2.33161916 -0.789451973 -0.349735677 0.440471990 1.4212995780
## [517,] -2.69485257 1.942001189 -0.959719996 0.459104689 0.5839845732
## [518,] -3.37604410 2.331377578 -1.200875536 0.553126259 -0.5274167311
## [519,] 0.19969487 -1.075413752 -0.672557052 0.627893020 0.8395117260
## [520,] 1.17499204 -1.010481061 -0.711142576 1.065131254 1.4206509043
## [521,] 1.29150016 -4.959860548 0.345622908 2.238565182 3.8371535988
## [522,] -8.62316838 3.456410638 -0.178899380 1.176129200 0.0228851505
## [523,] 4.42556234 0.785345015 -0.473002900 -0.696004578 -0.1037131678
## [524,] 0.61929383 -0.635789842 -0.488421490 -0.015141135 0.1063131129
## [525,] 3.24945659 -1.284794677 -0.218284421 0.307537632 0.0993416275
## [526,] 3.34997942 -2.670950443 -1.777523046 1.388364375 0.3541295063
## [527,] 0.85904712 -0.096763381 -2.811570840 0.184161855 0.6295214724
## [528,] 3.15384692 0.870776432 -2.193784489 1.448593014 -0.4310565911
## [529,] -0.34622347 -1.539870352 2.843951628 1.908132516 0.5713316529
## [530,] 2.45924278 -0.600319751 -1.170435277 2.209110148 0.6913036191
## [531,] 1.52875558 -0.404861554 0.603933344 -0.346866279 0.7853562456
## [532,] 1.77202587 -0.803503014 -2.026135257 -0.686728928 0.6155504122
## [533,] 2.67808519 1.483403662 -1.740162222 1.022590841 -0.2972072410
## [534,] -4.02489378 2.938844225 1.658026507 0.224969353 0.5131432277
## [535,] 2.13447312 -1.517245623 0.178807901 -0.500336469 -0.6824469628
## [536,] -5.16086993 2.380108987 -0.421906048 0.882650977 0.2092240560
## [537,] -0.53546080 -0.380380451 -0.442745212 -1.877719723 -0.2266699710
## [538,] -0.34282174 -3.531373815 0.069607554 -1.549307121 1.9552004887
## [539,] 4.19339024 -2.365311059 1.325978010 -2.037710987 1.7603677988
## [540,] 1.14182718 -5.594535868 1.299893249 -2.186325923 -0.7649016389
## [541,] 1.66401100 -2.387517361 1.500928782 0.875181074 -0.4841195986
## [542,] -1.01082308 -1.091429307 -0.632142163 -1.756972472 -1.0459061568
## [543,] 1.29978604 1.819814057 0.372979316 -1.846544182 -0.1994515741
## [544,] 2.37134219 1.680097929 0.384190094 -3.014076570 0.0382130321
## [545,] 1.66440651 0.213774641 -0.147942249 -0.196878516 -0.5559910407
## [546,] 1.92598353 1.136739705 0.477781900 -1.156482818 0.2021640255
## [547,] 4.23349159 -0.184110499 -0.326131445 0.587786142 0.7040073381
## [548,] 2.67551655 -2.313756961 -0.053800867 0.340150357 -0.4502519824
## [549,] 3.83312511 -0.495813665 0.922428047 -0.551386509 -0.0799652223
## [550,] 2.54919727 -0.228129228 1.412934778 -1.969057256 1.4550448383
## [551,] 4.69079604 0.766803238 1.542607509 -0.778334167 0.7842069600
## [552,] 2.02325691 -1.260133116 0.504482203 -1.134529125 0.1141621816
## [553,] 2.89340232 1.450359601 0.779859803 -2.967836815 0.3568359788
## [554,] 3.49912218 -1.799249342 2.764024589 -0.865545694 0.6248149194
## [555,] 2.15201013 0.829339088 0.564300199 -3.009108230 -0.5653278607
## [556,] 2.05327740 -1.615038205 1.837342797 -3.110797801 -0.2108571316
## [557,] 3.87388097 -1.083301553 1.858308794 -0.433358360 1.6859553304
## [558,] 4.06028949 -0.122061034 3.235925374 -3.466133119 2.2399371646
## [559,] 0.09858059 0.213372093 0.388587548 -1.011820230 -2.9864399976
## [560,] 1.08841850 -1.291711328 1.428122289 -3.369171941 -0.9465087393
## [561,] 0.48134743 0.177863190 1.031200235 -2.008512908 -0.3268156112
## [562,] 4.86602793 2.129232607 3.411187296 -5.129474909 0.4884909563
## [563,] -5.91241029 -3.479575000 -3.259923297 -3.914141413 -1.7148732547
## [564,] -8.73365338 0.573350185 0.896301447 0.384811315 -0.6784463175
## [565,] -6.43365455 3.573672989 2.457324373 1.176279049 0.0747585153
## [566,] -3.79004753 3.580897052 2.086640366 -2.503824654 0.5102735378
## [567,] -1.25507494 1.900624364 0.562235817 -2.087390339 -1.8084001296
## [568,] -10.36567336 -1.670540206 -1.875379194 -2.353959892 0.0337122683
## [569,] 5.47042990 0.670047220 1.489132801 -2.297135901 0.1845409324
## PC6 PC7 PC8 PC9 PC10
## [1,] 1.410183639 2.1574715203 0.398056982 -0.156980233 -0.8766305374
## [2,] 0.028631162 0.0133463502 -0.240776600 -0.711278966 1.1060217613
## [3,] 0.540976145 -0.6675790845 -0.097288135 0.024044486 0.4538760367
## [4,] 3.050737497 1.4286536346 -1.058633755 -1.404204115 -1.1159933184
## [5,] -1.225416405 -0.9353895017 -0.635816609 -0.263573547 0.3773724202
## [6,] -0.450642134 0.4900139551 0.165298432 -0.133355760 -0.5299649041
## [7,] -0.128835073 -0.3013023315 -0.083624609 -0.079954220 0.2189506984
## [8,] -1.255934103 0.9732434974 0.652763899 0.247965464 0.9997064885
## [9,] 0.559052820 -0.2149145974 0.686736938 0.511473855 0.0291618051
## [10,] -0.723272337 2.5176245802 -0.364827879 -0.716766009 -1.1646060593
## [11,] 0.127219899 0.6244628561 -0.165603833 -0.301115608 0.3759046163
## [12,] 0.764194227 0.6655068738 -0.619000411 -0.400588340 -0.3307781202
## [13,] 2.592290301 0.9406696600 3.318863750 -0.747130974 0.3955980681
## [14,] 1.006774257 -1.7974995418 -1.105684467 0.267389882 0.4391951701
## [15,] -0.349408795 0.7422274132 0.280679206 -0.674510305 -0.1155553104
## [16,] 0.495342130 0.9142524133 -0.302257713 0.456538430 0.4467643551
## [17,] -0.761520960 -0.0867706702 -0.029483040 0.502783775 -0.4992331367
## [18,] -0.751827782 0.4415962916 0.413405991 0.018656683 0.3563165037
## [19,] -1.136688687 -0.2510619539 -0.741499503 0.410086322 -0.5708248435
## [20,] -0.048594023 -1.2006310194 -0.403270875 0.404944121 0.0059203674
## [21,] 0.430462491 0.3381860916 0.861201670 -0.187036602 0.3606065559
## [22,] -0.769391365 -0.1908707908 0.244247147 0.546415425 0.0076299444
## [23,] 3.020386239 -1.0062943167 -0.104544724 0.168363304 -0.2454047607
## [24,] -0.595316618 -0.0747626295 -0.180094245 -0.363806008 0.6909368005
## [25,] -0.812165001 0.7996017629 -0.419539913 0.810965561 0.0214595144
## [26,] 1.183160422 0.6013244034 1.306262282 1.100042783 2.2842657360
## [27,] 0.786665153 0.2896641020 0.495541562 0.113090873 0.2951812417
## [28,] -0.906797174 -0.6452669891 -0.340174492 -0.043873679 -0.3961957456
## [29,] 0.192679233 0.1609885641 -0.378501497 0.356974453 -0.5691360315
## [30,] 0.036227947 0.1838685926 0.218709799 -0.381333094 -0.0364970759
## [31,] 0.241867529 0.4615706215 0.291813749 0.284492214 0.1182178679
## [32,] 1.233593969 1.9763494638 -0.202453666 0.564148659 -0.2297663753
## [33,] -0.190839648 -0.8888020606 0.243842164 0.442519010 0.1433737325
## [34,] 0.267243832 1.0317090641 -1.141727259 -0.566293378 0.2446991603
## [35,] 1.000905829 0.7700944229 -0.210139235 -0.585132155 -0.0747302216
## [36,] 2.009267717 -0.7199616429 -1.411392236 0.196789071 -0.7431027433
## [37,] 0.568095150 -0.1425954318 -0.488198042 0.390894097 -0.3824484486
## [38,] 0.290013739 -0.8043318792 1.707341340 -0.891664549 -1.0876247249
## [39,] -1.493142577 1.2791292757 1.498249655 2.100532774 0.0114924931
## [40,] -1.036438899 -0.1775681622 -0.198083551 0.431153558 -0.4385877226
## [41,] 0.928295680 0.0418357439 0.048599880 0.666574547 0.3902914311
## [42,] -2.120772389 -0.4965417472 0.484027443 0.912512891 -0.4303234931
## [43,] 4.307303747 0.4337837927 -1.387017258 -0.352517752 -0.9339783433
## [44,] 0.242568260 0.6132339088 0.067809257 0.282512565 0.1518262957
## [45,] 0.110049368 0.2333988676 -0.174872997 0.544441256 -0.2067359385
## [46,] 0.423532149 -0.7874816331 -0.790091300 0.111457042 -1.0551322678
## [47,] 0.575420451 0.2230057137 -0.867569780 0.328258562 -0.1456716219
## [48,] -0.281861620 -0.1604792421 -0.018943396 0.591809797 -0.1053337966
## [49,] -0.692882067 0.1971605392 0.040044188 0.419441177 -0.6168907916
## [50,] 0.544804546 -0.6838772921 0.555862941 0.605703404 0.1987895162
## [51,] 0.266013819 0.4536379429 -0.123851495 0.259381187 -0.4343429520
## [52,] -0.256313209 0.4449438979 0.057879905 -0.492076521 -0.2410267010
## [53,] 0.629337135 0.0607736151 -0.510873270 0.413623505 0.8230489282
## [54,] 0.707227400 0.6479398411 1.537761700 -0.614290601 0.0886086788
## [55,] -0.656077776 -0.2152637743 -0.207515896 0.505338373 0.1085018162
## [56,] 1.277739611 -0.3925629141 -0.745416793 0.301153902 0.0751610030
## [57,] -0.178434830 -0.1853434904 -0.309233059 0.012534355 -0.1128753503
## [58,] 0.461927636 0.5362098378 0.951178388 0.073379908 0.1941817154
## [59,] 0.705119501 0.4873781448 -0.297723909 -0.127261763 0.7362638224
## [60,] -0.900267281 0.4064726785 -1.225062124 0.345609537 -0.4642608787
## [61,] 2.538550035 0.7457813449 0.909941133 0.262199059 1.3178790775
## [62,] -0.815018482 -0.3959097935 -0.230734976 0.102956869 -0.9272860914
## [63,] -1.218994501 0.8193030850 -0.330742314 0.528189577 -0.4855301241
## [64,] 2.955682829 0.2103798445 0.627427082 -0.232120660 0.0413657355
## [65,] -1.242117920 -0.0057834579 -0.385706296 0.801372546 -0.1817471124
## [66,] -0.727422417 -0.5309593004 0.474393258 0.003939003 0.1728882560
## [67,] -1.188527693 0.1693780934 -0.029824460 -0.111145907 -0.2713131090
## [68,] -0.405353080 -0.5265287503 -1.082071976 0.427426065 -0.3912329742
## [69,] 2.213816387 -2.5787909992 -1.298010892 3.780791875 -2.7357511959
## [70,] -0.433947228 -0.8493285940 -0.334869937 -0.004978691 -0.3104418547
## [71,] -0.291543973 0.2832433298 -0.086188560 0.326867199 0.0333168740
## [72,] -1.638316786 2.4262266414 -1.317108728 -1.883468421 3.1898325590
## [73,] -0.539586813 1.5624901202 -0.593662500 -0.672507942 0.0611282077
## [74,] -0.919638446 0.6971724884 0.393036492 -0.357905538 -0.1474184494
## [75,] 0.034838302 0.1200189004 0.459971988 0.314694924 -0.0155400843
## [76,] -0.994688029 -0.9081210535 -1.100360740 1.244777578 0.0926553152
## [77,] -0.612562561 -0.7756714142 0.246838044 -0.772831741 1.5166900630
## [78,] 0.682870529 1.3985754634 -0.719241167 -0.096664805 0.5085691762
## [79,] 4.876508199 -1.1544779461 -0.483077495 -1.170391748 -1.3237161139
## [80,] -0.072350138 0.0536554932 0.355866547 0.048832592 -0.1077491295
## [81,] -1.501869476 0.1435614258 0.486258862 -0.122378079 -0.0390292436
## [82,] 0.138012244 -0.3263920580 0.151919734 -0.226864771 -0.5036154424
## [83,] -2.186236690 0.0355707110 0.547079286 -1.647859246 0.3961746350
## [84,] -1.421297891 -0.0432176692 2.012767522 -2.966728252 0.0222412116
## [85,] 0.882263930 -0.2550878307 0.229994161 0.423649141 0.1477716874
## [86,] 0.967176566 -0.1536701262 0.192125163 -0.083450911 0.4426520533
## [87,] 0.567360307 -1.6613223577 0.349250281 0.571523884 -0.1210561314
## [88,] 1.560091353 -0.1983680707 -0.643025712 0.183841722 0.4623711739
## [89,] 0.223702425 0.0769126070 0.148776905 0.262252261 0.4555666494
## [90,] 0.842299884 -0.1736551116 0.614011283 0.283254129 0.3987023515
## [91,] 0.325518164 0.2995505173 0.128752056 -0.246304891 0.5210683990
## [92,] -0.199459121 -1.7255946363 -0.786058401 0.116745956 0.1441268207
## [93,] -0.292110132 0.0957807360 0.413725996 0.390523505 -0.5899606072
## [94,] -0.321113861 -0.5677543179 0.395718555 0.058107568 -0.4912485698
## [95,] -1.066707998 -1.0421552988 -0.283564277 0.637899776 -0.2969722678
## [96,] 1.783555798 0.0004244298 -0.292506839 -0.580370555 0.4991648297
## [97,] -0.096852967 -0.0225249946 1.596299697 0.179428829 0.4099629648
## [98,] -2.351934315 1.1157841763 0.148452301 -0.906614963 -0.3165086702
## [99,] -0.430903499 0.4844971328 -0.290694588 0.057293175 -0.3825068496
## [100,] -0.853188272 -0.5060704070 0.634423963 -0.237141676 0.1392901935
## [101,] -0.595802895 0.0029648840 0.062601958 0.797723981 -0.2095356865
## [102,] -0.899700995 1.4116521142 0.324334412 -0.505544952 -0.1898542596
## [103,] 0.342937555 -0.2377974400 0.513345470 0.454774516 0.1528759939
## [104,] -0.991047162 -0.5084776263 -0.051816347 0.885904532 0.1673165990
## [105,] 0.940750946 0.1577998775 0.592437419 0.477922672 0.6483605373
## [106,] -2.202856495 0.5190182681 0.919491499 0.024774004 -0.5966611023
## [107,] -1.608771501 -0.4979118440 0.452844869 0.527102050 -0.4592233167
## [108,] 0.359599477 0.1231328050 0.263560697 0.289616641 -0.1759008102
## [109,] 1.020860934 -0.0954075198 0.767942841 0.627017416 -1.0979068211
## [110,] -1.439608866 0.2115695617 -1.388075349 0.448512027 -0.6290141193
## [111,] -1.095444306 0.2037178296 -1.218964989 -0.570481422 -0.7426654271
## [112,] -1.458702835 -1.0401187280 0.120431563 -0.227163027 0.3361622567
## [113,] 0.833123888 0.4111745398 0.970303417 -0.535303964 -0.2484248020
## [114,] -1.261777184 0.1057625720 0.713697894 -0.410313572 0.6957360576
## [115,] -1.706440486 0.5119879213 -0.337466388 0.678858808 -0.4910440978
## [116,] -1.337752701 0.4595072608 -0.488509104 0.354100824 0.4414446401
## [117,] -2.293687595 -0.9185965070 -1.898086528 0.154241095 -0.4446864733
## [118,] -0.767555623 -0.2067958374 0.209629326 0.284564474 -0.0334444954
## [119,] -1.492492721 0.4264319465 -0.275527717 0.357573419 0.0964420085
## [120,] 4.975158195 -0.9917687699 -1.044205851 -0.483438131 -0.3707162449
## [121,] -0.438000429 0.0569341545 -0.463647307 0.245730642 -0.4929124233
## [122,] -0.579613971 -0.2505498519 0.361729650 -0.241886354 0.1402872611
## [123,] -0.946220851 -1.2957391097 -0.792061520 -1.694971898 -0.0776531867
## [124,] 0.180693692 -0.5030415897 1.294717404 -0.091526472 -0.3633815227
## [125,] -0.247250211 -0.1912870373 -0.070698364 -0.197988493 -0.4727441430
## [126,] -0.226920405 0.3213445519 0.269963020 -0.171115561 0.2946382608
## [127,] 0.148751350 -0.0415938395 -0.272031126 0.771906177 -0.0588503290
## [128,] 1.467236870 -0.1445960967 0.172105084 0.253497334 0.2448693537
## [129,] -0.533827466 -1.2652594966 0.721508750 -0.385475878 0.5934329421
## [130,] 0.678064911 -0.7403080258 0.634019823 -0.195963883 0.7616033847
## [131,] 0.654051923 0.3144589921 -0.222639255 -0.683091883 -0.0068671508
## [132,] -0.785225256 -0.6210090246 0.214754724 0.669006569 0.1309451308
## [133,] 0.686370956 -0.3132321125 0.524909363 0.333859949 0.7119644915
## [134,] 0.246141926 -0.8388130034 0.525219945 -0.232429603 0.2414018451
## [135,] -0.384108551 -0.1387712566 -0.400629913 0.015768321 -0.1420031613
## [136,] -0.711654240 -0.3170822284 -0.423054123 0.296085713 -0.1660916070
## [137,] -2.039215085 -0.0047169897 1.745367912 0.054013249 -1.3406194472
## [138,] 0.067229553 -0.4386830029 0.624428298 0.431789796 -0.1857668917
## [139,] 1.472940622 -0.5628536813 -0.555419588 1.433116172 -1.8906385275
## [140,] -1.755538141 -1.3946449979 0.617942137 0.193853924 0.0783272296
## [141,] 0.931116209 1.1324945722 -0.264624374 -0.047778911 0.4226037049
## [142,] -0.173947054 0.5618521558 0.297047282 0.162636806 0.0261558272
## [143,] -0.778202592 0.1691115541 0.976926700 -0.507861462 -0.6639930913
## [144,] 1.073297753 0.0989681910 -0.372823313 -0.071154664 -0.2542790364
## [145,] -0.099111239 0.3467449413 -0.147442289 -0.015463023 -0.7720259012
## [146,] -0.382201396 1.3607862474 -0.371332854 -1.206190790 1.1885364740
## [147,] 5.129714191 -0.7872305021 0.097521762 -0.086192705 -0.6385226560
## [148,] 1.553852814 0.6731568921 0.319662491 -1.417845937 0.0564845959
## [149,] -0.352050345 -0.8854496990 0.372603697 0.234052632 -0.2163808465
## [150,] 0.408442142 0.4895595362 0.223726132 -0.053221807 -0.1308288722
## [151,] 1.498389276 -0.8305491921 0.805487601 1.033081869 1.1995311622
## [152,] -0.563724446 1.6243774954 -0.607342092 -0.282872795 0.6994208962
## [153,] 0.814014293 -1.6795722858 1.612763338 3.684764211 1.0737087368
## [154,] 0.154082267 -0.5847800143 -0.491749917 0.213116694 -0.0635198173
## [155,] 0.970037522 -0.4276196991 -1.276188474 -0.121835356 -0.4266320967
## [156,] 0.864745584 0.1069268147 0.109240323 0.453530595 0.4909214506
## [157,] -1.035185529 -0.3174416715 0.420352680 0.213503999 0.2869782720
## [158,] 1.296096186 -0.2213926516 1.237220024 -0.004753582 0.0768239658
## [159,] -0.413587977 0.1419468227 0.121703479 -0.083959957 -0.1483935553
## [160,] 0.153281267 0.9054318895 -0.623447958 -0.044924496 -0.3461897877
## [161,] 0.588778074 -0.0348880820 -0.015419238 0.186223933 -0.2572771820
## [162,] 0.588871013 -0.8310914625 -1.017671016 0.523162928 -0.0911605179
## [163,] 0.343422459 -0.0707133402 0.641697510 -0.013645624 -0.3983688340
## [164,] -1.889969783 0.0290416393 -0.417881679 -0.629496118 0.0577694399
## [165,] 1.042121842 -0.0704226922 -0.832185834 -1.088425879 0.7422035975
## [166,] 0.723455982 -0.4223737010 0.138398073 -0.455293689 -0.0506963170
## [167,] -1.686598428 0.2821154593 -0.372316236 -0.110448647 -0.6643564473
## [168,] 0.626105499 -0.3516309352 0.257336906 0.098062925 0.3097561544
## [169,] -1.976653127 1.5974667481 0.479005437 0.658932179 -0.5988452380
## [170,] -0.283614915 -0.5536495883 0.912792548 -0.223496888 0.3784836258
## [171,] -0.044220048 -1.0475041547 0.026274210 0.505731618 0.3347146313
## [172,] -0.422267087 0.0357420256 -0.352737039 0.808130669 -0.4802621497
## [173,] -0.565776004 -0.2672482462 1.064477530 -0.093245598 -0.6385242481
## [174,] -1.342695187 -1.0265266652 -0.442934433 -1.288967588 -0.2346218069
## [175,] 1.346133180 0.2723286751 0.164406007 -0.669318625 -0.5370750064
## [176,] 0.220842652 1.1241630693 -0.637406602 -0.424652143 0.0577518712
## [177,] -0.388805486 0.7135687514 -0.502118964 -1.248884797 0.1510833104
## [178,] -0.268706635 -0.9944966018 0.217537500 -0.231151234 -0.4710279564
## [179,] 0.925966830 0.4519886400 -0.091733964 -0.179338922 0.1021444906
## [180,] -1.507807056 0.3330008518 0.077576227 -0.396246129 0.2634730538
## [181,] -0.835878816 -0.7140340991 0.801923303 -2.159841626 0.0290996051
## [182,] 0.725136194 0.8451468587 0.591019652 -1.014728770 1.2015974832
## [183,] 0.094248735 -0.0607585087 -0.365255024 -0.120588274 -0.4112053722
## [184,] -1.003522807 -0.2666554566 -0.089381943 -0.084952464 -1.1914664073
## [185,] 0.183576123 0.6909743372 -0.214640324 -0.096784999 0.4605384186
## [186,] -0.793026617 0.4370590422 -1.900279550 -0.315356103 -0.1041326653
## [187,] 0.509781798 -0.5622981929 -0.235231929 -0.325336092 0.1245710431
## [188,] -0.634963902 -0.5973256464 -0.160681786 0.540712933 -0.5131869412
## [189,] 0.695238561 -0.9098868735 0.019838578 -0.533804197 -0.9625494330
## [190,] 0.692017491 -0.1875842559 -0.316611583 0.063671760 -0.2430371800
## [191,] 3.668891109 0.4667888874 -1.321343281 -1.944665503 -0.9460823770
## [192,] 1.004175357 0.9998306814 0.995368772 0.232326073 -0.1188888078
## [193,] 2.091661791 1.1663610596 3.949687763 -2.059344309 -2.6696617876
## [194,] -1.200309594 0.6282875359 -0.457500580 0.252184555 0.0222141330
## [195,] 0.005813478 -0.8631588057 -0.204826688 -0.356562840 -0.4112333371
## [196,] 1.207398464 -0.3659380358 -0.113716688 0.329933369 0.1978627710
## [197,] -1.698608135 -0.9030444488 -0.446979767 0.339740677 -0.7976099029
## [198,] 1.216994994 -0.0181619840 -0.178446492 -0.124884357 0.5853707934
## [199,] 0.321490348 0.1679841528 -0.668695410 -0.891981952 0.3036968071
## [200,] 1.218190964 0.0219492848 -0.541114545 0.337415356 -0.1588964980
## [201,] -0.540711745 -0.1667847179 0.291643165 0.597355421 0.6557436271
## [202,] -0.329410354 -0.7272507563 -0.621172092 -0.447107905 -0.4501480072
## [203,] -0.331940888 -2.6682527030 0.260934777 -0.462552726 0.4348839944
## [204,] -1.178677385 0.0130692386 0.157838548 0.532754157 -0.2797121016
## [205,] -0.160348396 0.1870705062 0.068129717 0.533288806 0.1893951033
## [206,] 0.042891323 0.3408804873 -1.098677759 -0.280446322 -0.2526169016
## [207,] -0.328051695 -0.4422390617 0.035987807 0.286456784 0.1438416822
## [208,] 1.655133960 -0.1692217695 -0.255999646 0.485893978 0.7863878199
## [209,] 1.188797426 0.8614230375 -0.268868458 -0.719578899 0.0280288685
## [210,] -0.524561146 -0.0988150737 -0.349465313 -0.279453917 -0.5850820279
## [211,] 0.984117981 -1.5402069105 -0.537234103 0.409349077 -0.6771736584
## [212,] -0.372458536 0.4026089615 -0.245693256 0.147674701 -0.1689819943
## [213,] -0.876727724 5.4124568722 -1.601546092 1.863118463 -2.5592250517
## [214,] -4.214059597 -4.0810933903 -4.358470616 -0.658094683 1.7059309508
## [215,] 2.462907510 -0.7760274006 -1.521890501 -0.521797791 -0.2906150561
## [216,] 0.568593508 -0.0375813211 0.444521903 -0.033533870 0.0725430982
## [217,] 0.849146479 -0.9034469827 -0.408260911 0.385297416 -0.2190552567
## [218,] 1.783916798 0.4964759023 0.964015097 0.671555113 -0.2348864080
## [219,] 0.355062946 0.4844374568 -0.320536073 0.443124416 0.7960803929
## [220,] -0.913070016 0.6709919473 -1.295853267 -0.019650933 0.0057462290
## [221,] -0.857117020 0.6581421465 0.062330011 -0.626168404 -0.6027208383
## [222,] 0.292755395 -0.1124577318 0.153206926 0.018529085 0.2058319590
## [223,] 0.046760633 0.4462389349 0.165792656 -0.149773741 0.1922274916
## [224,] 0.569291646 0.3320511903 -0.314333010 -0.215946868 -0.0229196017
## [225,] -0.446353582 -0.0683543013 -0.371168573 0.293040037 -0.2993126563
## [226,] 0.900837275 -0.8016182365 -0.026199906 0.868973747 0.1559299040
## [227,] -0.690391433 0.5062420785 0.515035942 0.081764424 0.3676489873
## [228,] 0.959424511 -0.0400455864 0.003659275 0.119994088 0.3597261890
## [229,] -0.085304557 0.6038288041 -0.582829665 0.337061968 -0.3472837941
## [230,] -0.700792123 0.2700147671 0.072412480 0.495533123 0.0191778760
## [231,] -0.804236090 -1.3941815505 0.685226377 0.294524200 0.3136095403
## [232,] 1.516942945 0.5780963622 -0.269711476 0.829990465 1.1753840062
## [233,] 1.038822749 0.6763976986 0.147290366 0.676859609 1.2382494903
## [234,] -0.890030772 -0.0926084812 -0.237610416 -0.660896047 0.1093584634
## [235,] -0.806029481 -0.1591975032 -1.607654814 0.070038705 -0.2046041522
## [236,] -1.235632066 -0.1740702317 0.134050863 -0.358511123 0.2935775385
## [237,] -0.506613364 0.7184808835 -0.698205899 0.159408379 0.5520467724
## [238,] -0.903717776 -0.3234838610 -0.997750278 -0.292941036 0.3083451879
## [239,] -1.290293959 0.0752679863 0.825013438 -0.389172223 -0.5523496558
## [240,] -0.685112901 -0.2163534283 -0.370994646 0.729965633 1.4467832473
## [241,] -0.058885827 -0.6896860257 -0.135270646 0.376989944 -0.0245837325
## [242,] 1.003687888 0.2324638017 0.025848947 -0.089820951 -0.1378378139
## [243,] 0.450052375 1.1164334665 0.340265625 0.229727626 -0.3974829468
## [244,] 1.595210063 0.0810279083 -0.149568201 0.443593566 0.3213134284
## [245,] -0.522270310 -1.3872740609 -0.096569976 -0.855574174 0.4300033612
## [246,] -0.998150469 -1.0888060717 -0.743267755 -0.630228537 -0.9259195171
## [247,] 0.628671869 -0.2497484553 -0.329460238 -0.421907737 -0.7932796398
## [248,] -0.207346366 0.7354213374 -0.618596827 0.142529390 -0.9038995527
## [249,] 0.140043001 0.1218586500 -0.272622878 0.609119288 0.3501634761
## [250,] -0.379287969 -0.3312609399 0.477990400 0.578680459 0.0232041342
## [251,] 1.143542079 -0.2892828096 0.019289575 1.215491504 0.3076783243
## [252,] 0.571505400 -0.0084180317 -0.048843880 0.811082749 0.1060671975
## [253,] -1.809707548 0.5349981047 -0.952330507 -0.438592865 -0.4041279943
## [254,] -0.087452080 -1.1187672423 0.345621386 -0.115039522 0.0585142743
## [255,] -0.206007291 -0.2040466544 -0.344470735 -0.098395243 0.1002134806
## [256,] -0.091326697 -0.5442092996 0.052696179 0.438792411 -0.2764020986
## [257,] -0.106678519 1.3410477484 -0.265822425 -0.490099054 0.6886186372
## [258,] -1.385869456 -0.1099038534 0.949416401 0.023672239 1.0780323451
## [259,] -0.567192615 0.7894890717 1.433308037 1.516262370 -0.1085414992
## [260,] -1.140588120 -0.0039648327 -0.075112284 0.562144147 0.6858084775
## [261,] -0.490350510 -0.8241070307 -0.298749034 -0.485778469 0.6828238073
## [262,] -0.416633188 -0.2494236088 -0.207117555 -0.348075484 0.3473867744
## [263,] 1.476085254 -0.0651095050 0.053026872 0.264119377 0.7556059257
## [264,] 0.328246316 0.0299221763 0.212049424 -0.068027290 0.0440478431
## [265,] -0.244151997 -0.6667984383 -0.260732796 0.618202157 0.3259894208
## [266,] -0.798969733 2.2856565722 -0.444898382 0.640447374 0.5178407826
## [267,] 1.247321486 0.1156640899 -0.144033450 0.360654884 -0.4902625137
## [268,] 0.540714416 0.0930637439 0.615958610 -0.211508964 -0.2076463770
## [269,] 1.777454961 -0.4348833906 -0.097706455 0.149334167 -0.1204520153
## [270,] -0.530973923 -0.2795294819 0.038370027 0.095345241 -0.3087819605
## [271,] 1.137777811 0.1492725906 -0.141888201 -0.429341857 0.3482367910
## [272,] -0.282166375 -0.0791985509 0.044264635 0.258342239 0.1089881896
## [273,] -0.082454948 1.6506700297 -0.134880881 -0.242658491 -0.6487268459
## [274,] -0.744617791 -0.3062773317 -0.836321069 0.368149277 1.0821009919
## [275,] -0.715582217 -0.0550843684 -0.119393051 -0.554515615 0.2714144990
## [276,] -1.359312667 -1.6476780917 0.844245490 0.405610070 -0.1378978996
## [277,] 0.537319419 -0.1768614746 -0.087479840 -0.110728997 0.2011409440
## [278,] -0.156769522 -1.8725673919 -0.779396667 -0.351923437 0.1590632493
## [279,] 0.233184620 0.1134728330 0.463406890 0.146974944 -0.0629999213
## [280,] 0.915502848 -0.5682843472 0.932033004 0.526729940 0.7322502890
## [281,] -1.084851887 -0.1857573608 -0.804790729 0.270818544 0.2883866791
## [282,] 1.866934703 -0.2545557542 0.038255406 0.973848011 0.3248817632
## [283,] 0.129569928 -1.2765834790 0.054444065 -0.297078738 -0.1025595747
## [284,] -0.487433642 0.0393713862 0.946383796 -0.634171740 -0.0891777259
## [285,] -0.001371246 -0.8124335431 0.298426343 0.333751972 -1.1255027577
## [286,] 0.831364802 0.3673441399 -0.004485919 -0.577371216 0.0397140778
## [287,] -0.296527349 0.8403551858 0.163416046 -0.337454150 0.3308918426
## [288,] 0.467795801 0.2450200664 -0.524284787 -0.342791222 -0.4211079082
## [289,] 1.824521023 -2.4466982524 -0.636805829 1.026624574 1.9821273445
## [290,] 1.995111435 -0.4474969098 0.438993216 -0.154339792 -0.1535414595
## [291,] 0.870504292 1.4288153440 0.056604771 -1.772331697 1.6749304819
## [292,] 0.245372994 -0.2532806962 0.131339272 0.013100900 0.5285901781
## [293,] 0.089387450 -0.2632432645 -0.963857814 -0.475551131 -0.0781849151
## [294,] 0.414086721 -0.6568800189 -0.389574742 0.447437433 0.1298348252
## [295,] -0.656055820 -0.1831651809 0.302520981 -0.106866323 0.0604470360
## [296,] 0.629424293 -0.0059656014 0.134317338 -0.521742080 -0.2066610311
## [297,] 0.962920440 0.2364685754 0.700921264 -0.667458810 -0.8409535457
## [298,] -0.988693412 0.5669876696 1.830877240 0.694029609 -0.5472157675
## [299,] 0.942635213 0.7515115049 -0.175107129 -0.008041250 0.4998271246
## [300,] -0.028761357 -0.4132414468 -0.448944354 0.065937661 -0.0979387721
## [301,] -0.892012107 1.1708230247 0.240630468 0.401231594 -0.7912809587
## [302,] 1.057049565 0.0641942198 -0.174584753 0.162311622 0.1211142829
## [303,] 0.424230119 0.8009641178 0.689452532 0.179814011 0.4398645110
## [304,] -1.764318755 -0.3089463278 0.389324396 -0.194847252 -0.4738750247
## [305,] -0.524107614 0.7087397770 -0.139625312 -0.164868485 -0.5004026881
## [306,] 2.355994261 0.0138795016 -0.129463186 -0.085067064 0.2108086852
## [307,] 0.287352467 1.0458411839 0.048345725 -0.373310733 0.5402341226
## [308,] 1.475361121 0.9496661823 -0.136253368 -0.293049733 -0.0729297836
## [309,] 0.555206557 0.5520636775 0.099323502 -0.477005324 -0.2717178095
## [310,] -0.096172883 0.8390301222 0.333065881 -0.012531062 -0.1732876433
## [311,] 1.348798860 -0.3750342427 0.121358042 0.212737541 0.2187874168
## [312,] 0.640709233 -0.1712752620 -0.041463185 0.012850947 0.2322531073
## [313,] -0.063062086 0.4144020234 -0.299714987 -0.072517447 -0.0724498885
## [314,] 1.692163170 0.4138464332 -0.105494615 -0.011203650 0.0929704694
## [315,] 0.965426537 0.0242816003 -1.745049356 -2.616377669 -0.2425580614
## [316,] -0.823767200 0.2426330221 -0.067426170 -0.339172721 -0.4694609147
## [317,] 0.790884787 0.0580936404 -0.151511818 0.165573364 0.0738077799
## [318,] -0.392077864 -0.5981913512 -0.092751687 -0.095361501 0.3808674010
## [319,] 1.107967691 0.2535400835 1.033294964 0.725213626 -0.0372435655
## [320,] 0.918487309 -0.2108079992 0.510943642 -1.009637831 -1.0435900733
## [321,] -0.839717979 0.2101197168 -0.007380881 -0.574251329 -0.0623371359
## [322,] 1.653345461 -0.7582083636 -0.325742123 -0.083176746 0.7060239933
## [323,] -1.780840926 -0.1290603427 0.721153100 -0.173707173 -0.5799252749
## [324,] 2.497823419 -0.8609207404 0.089329955 -0.422982928 0.7628408464
## [325,] -0.165391824 0.6992422401 -0.028307053 0.080348403 -0.0472513095
## [326,] -0.306019363 -0.4082098698 -0.011823166 -0.039315377 -0.1435087596
## [327,] -1.161994329 -0.0940292730 0.101312448 -0.818015688 -0.4490053241
## [328,] -0.169471369 0.8785198528 0.075574125 -0.237928202 -0.0648401994
## [329,] -0.873783104 -0.8699189934 0.601710948 0.317069376 0.0801964858
## [330,] 0.056799921 -0.8509265272 -0.509763807 -1.074084075 -0.3657954165
## [331,] -0.130364002 -0.5498907189 -0.153975062 -0.069296560 -0.4632741256
## [332,] 1.251070642 0.4213268531 -0.848948545 -0.052247225 -0.2610975143
## [333,] 0.859009322 -0.8427620321 -1.032726115 -0.896751382 -0.4990305818
## [334,] 0.535295153 0.7321018980 0.070591958 -0.001496864 0.3046607270
## [335,] -0.277500386 -0.1028043410 -0.251533257 -0.417536590 -0.1122292945
## [336,] -1.171186789 -0.3369893508 1.221789702 0.626654097 -0.8952329706
## [337,] -0.342888793 1.2080801113 0.475067195 -0.913102227 0.5634705913
## [338,] 0.503248640 0.1330836287 -0.831947763 -0.337531473 0.1135276446
## [339,] -0.191668549 -0.1697594667 0.758849309 0.241418936 -0.3559199338
## [340,] -1.262075777 0.1690277622 -0.378814788 -0.138532596 0.3758008887
## [341,] 0.579500486 0.1083178964 0.256990853 0.255809327 -0.0397007789
## [342,] 0.731456554 0.8157567587 0.123534229 0.811545504 0.0162942334
## [343,] 0.118133276 -0.0990057335 -0.184177825 0.040445295 -0.4327405001
## [344,] 2.579043663 -1.2321200879 0.712326972 -0.775579936 -0.9206243625
## [345,] -0.768666415 -0.3893955715 0.018800331 0.624350969 0.6546084706
## [346,] -1.007952827 -0.3752347168 -0.933075801 -1.949205608 -0.6491992838
## [347,] -0.040227674 0.4880610951 -0.622764931 -0.303784458 -0.0312109403
## [348,] 0.637627242 0.1715272186 -0.605037603 -0.249194299 -0.4076237348
## [349,] -0.881613711 0.0840694378 -0.951022679 -0.116238263 0.1148804416
## [350,] 1.313127920 0.1202364501 1.192514395 0.239478450 1.1662413968
## [351,] 0.990838126 0.5648967235 -0.666618662 0.239247500 0.3490824551
## [352,] 2.459430541 -1.4669198274 -0.268414566 -0.808542976 -1.0643248406
## [353,] 0.196263785 -0.1096444713 -0.219649140 -1.761477643 -0.4618662767
## [354,] -1.731849219 -0.2168000270 -0.862140516 0.588515021 -0.2734208950
## [355,] 1.848179158 0.4979044533 -0.319120828 0.358581393 -0.2388524303
## [356,] -0.253099881 -0.9257667152 -0.247856204 0.071692000 -0.6721084793
## [357,] 0.562703391 -0.9865070284 0.529379640 0.008710522 0.1451343324
## [358,] -0.492383289 0.1775429194 0.372823286 -0.643033117 -0.3497338368
## [359,] 0.616447564 0.5127726501 -0.312525294 0.805940351 0.1839341180
## [360,] -1.036485505 1.2894520107 0.255403446 0.745715181 -0.7847461519
## [361,] 0.689897235 0.3410957237 -0.353052690 0.065820790 -0.0888106425
## [362,] 0.539107939 -0.1461860392 0.383045970 0.070827778 0.2219526587
## [363,] 0.019355922 -0.2921769518 0.461028812 0.079894984 -0.0224846989
## [364,] -0.892345371 -0.8858311167 0.085595916 -0.738289398 -0.3903247866
## [365,] 0.322633323 0.1555598145 -0.293727223 0.071866445 0.2951562312
## [366,] -0.576806951 -0.6629676646 -0.335487200 -0.455693026 0.3707330956
## [367,] 0.988060282 -0.7970441849 -0.245890513 -0.272785401 -0.3651742847
## [368,] 0.398140618 -0.0645026624 -0.560973305 0.467678796 -0.3926243393
## [369,] -0.832344744 1.4919773252 -0.496542165 0.708345052 -0.0169532931
## [370,] -0.477923128 0.8442636938 0.636164367 -0.204859009 0.1625337312
## [371,] 2.667823055 -0.9407899084 -0.869846292 0.423379905 -0.4379865500
## [372,] 0.617275952 -0.4793053363 -0.220678981 -0.323424153 0.3717467237
## [373,] 0.253631779 -1.1782462018 1.518653064 -1.823630553 0.5338030161
## [374,] -1.030121857 -0.7467180332 -0.695323516 -0.378361717 -0.3918087362
## [375,] 1.617443807 0.0938490707 -0.344280981 -0.066635392 0.5216969893
## [376,] 0.775977838 -0.2614574286 0.536962646 -0.783668674 1.0015978141
## [377,] -0.062587840 -0.3217196360 0.885498583 1.237510046 1.2853970174
## [378,] 0.048936764 0.3139548052 -0.557032840 0.002152141 0.3847686640
## [379,] 1.034252471 0.2979977108 -0.774880424 -0.414667982 0.3611762162
## [380,] -0.931622121 0.5558930985 -0.315289940 0.568236652 -1.3305107926
## [381,] -0.413238965 -0.3265681118 0.841546961 0.281467270 -0.2092956126
## [382,] 1.511904788 0.1107862663 0.294876597 0.346448987 0.2913150267
## [383,] 0.311959374 0.6410425845 -0.019752353 -1.081107861 -0.6097535576
## [384,] -0.535690225 0.8239055160 -0.169622036 -0.256319858 0.1735146645
## [385,] 0.514203265 -0.1400589671 -0.134319768 0.133553755 -0.3932263761
## [386,] -0.634221424 -1.2036581988 -0.193479374 0.611419040 -0.2077215786
## [387,] 0.836900468 0.5372471084 0.120920306 0.128158478 -0.3976112633
## [388,] 1.269631553 0.3369059661 -0.144015062 0.021957292 0.2938631449
## [389,] -0.903282021 0.7048671644 -0.198298707 0.173642809 1.4348701722
## [390,] -0.252360512 -2.5925659101 0.988134973 -0.261475490 0.1414039098
## [391,] 0.156093205 0.3242076866 0.190087018 0.241888734 -0.0729502673
## [392,] -1.848848148 1.5475878305 -0.444033150 -0.620675476 0.8826008510
## [393,] -1.016195655 -0.0050197039 0.316577899 0.564083320 -0.6156462037
## [394,] 0.485646865 -0.4029431540 0.372494053 -0.926441986 0.1201789382
## [395,] -0.076639013 -0.5411420517 0.397793364 0.113082074 -0.1676621390
## [396,] 0.386466855 -0.6426712317 0.749554481 -0.569956095 -0.1439670700
## [397,] -0.744129779 -1.0668559939 0.971925397 0.503561293 -0.2890358887
## [398,] 0.203701388 -0.0995017006 0.539132750 0.148387464 -0.2783778826
## [399,] 0.073042200 1.2376399689 -0.109921920 0.120093235 -0.1420028943
## [400,] 0.168954300 0.6871762127 0.258398388 0.479129168 0.2528963004
## [401,] -1.256879923 -0.2859010637 0.218312252 -0.496045403 -0.4166135405
## [402,] -0.691195823 -0.0520373351 0.085710694 0.268108418 -0.5865594042
## [403,] 2.427978134 0.2056036891 0.168971978 -0.140625905 0.1210694614
## [404,] 0.937091754 0.0225694328 0.698185070 -0.069564406 -0.2315344151
## [405,] 0.596538718 -0.2936325230 -0.407229995 -0.043375151 -0.6090000775
## [406,] -1.417278885 0.0553933955 0.185171279 -0.011947767 -0.9140086363
## [407,] 0.304102683 -0.5350338384 0.436699305 -0.283793452 0.1341185165
## [408,] 0.930130928 0.7878753397 0.029225670 -0.455179924 0.0062052408
## [409,] -0.458760443 -0.7423665358 -0.046636181 -0.192821288 0.8051984520
## [410,] 1.585292486 -0.5745969577 0.221364008 0.333111833 -0.2584899018
## [411,] -0.468516238 -0.0341846701 0.193174732 0.476183993 -0.6798151650
## [412,] -0.334162053 -0.0186481656 0.896362158 0.189516651 -0.3990721033
## [413,] -0.285445134 1.2889735007 -0.311529970 -0.208444094 -0.6821807718
## [414,] 1.241782183 0.1692927893 0.303507283 -0.023140989 0.4959808194
## [415,] 1.625262058 -0.5471226180 -0.849327394 0.368361131 0.2919367892
## [416,] 0.116726716 -0.4680111924 -0.667070503 0.265822576 0.6191312844
## [417,] -0.782964929 -0.1884663582 -0.156368535 -0.283818610 -0.0656566128
## [418,] -0.855452257 2.5023943225 -0.056270488 1.908727005 0.0312926640
## [419,] -0.239599175 0.6754089610 -0.295097428 -0.499193238 0.0692051297
## [420,] 0.167610330 0.0754607928 0.124933842 -0.160893226 -0.5877873340
## [421,] 0.688714769 0.0754987298 0.045200434 0.778613227 0.3058606674
## [422,] 0.133478398 0.3651157986 0.498157183 -0.711742176 0.0052272732
## [423,] -0.239186164 -0.7274351177 0.590751188 0.733215705 -0.1561666581
## [424,] 0.475543714 -0.0888980901 0.594727093 0.241075301 0.1971506440
## [425,] 0.534064618 0.6990198575 -0.021404230 0.814478925 1.3128052104
## [426,] -0.329783732 0.9938632467 0.373519271 0.178584068 0.3765056070
## [427,] 0.269764170 0.5109650849 0.068952658 0.529911757 -0.2080990691
## [428,] 0.507927890 -0.1387719046 0.215789438 1.148416888 0.3339800541
## [429,] 0.225843093 0.2262523820 0.059322537 -0.221416174 -0.1343794131
## [430,] -0.065040152 0.0501820538 -0.579122858 -0.197427671 -0.2002923800
## [431,] -0.306811042 -0.6492623125 0.204735773 0.498195417 -0.3822299065
## [432,] -0.990364525 -0.0511584766 0.093881253 -0.626421919 0.1094714105
## [433,] -0.930064293 -2.2544646797 -0.466263010 -0.779551562 -0.4944820815
## [434,] -0.029941068 -0.3229932215 0.184135669 -0.211715686 -0.1099176849
## [435,] -0.168463334 -0.2352388721 -0.258165645 -0.232065607 0.1692935309
## [436,] -1.081099413 -0.0010498906 0.127505394 -0.009932973 -0.4806494971
## [437,] 0.952481157 0.6728863814 -0.317435674 0.138036068 0.5451107699
## [438,] 0.195170967 -0.0034491992 -0.433572768 -0.140699333 0.1874799788
## [439,] 0.089858744 0.1462143751 0.377690612 -0.542497574 -0.2190587029
## [440,] -0.103500301 -0.2351662467 0.290218440 0.059239661 0.5054990744
## [441,] -1.103172853 -0.1347436553 -0.336778691 0.554968936 -1.1858618222
## [442,] -0.964009904 -0.8135868399 -0.909974880 -0.011726962 -0.7359070393
## [443,] -0.936292265 0.6826624088 -0.219293278 -0.308724084 0.2824428958
## [444,] 0.897031883 -0.8902959516 1.094199056 0.255568406 1.5382410183
## [445,] 0.143526659 -0.4567092765 0.067773791 -0.449875463 0.0829893004
## [446,] -0.699155425 -0.4977435511 0.227881449 0.450993502 0.6764541937
## [447,] -0.598086185 -0.4691884880 -0.028367892 0.235193368 -0.1530934151
## [448,] 1.534348384 -0.2905432068 -0.389028021 -0.115317167 0.3463440740
## [449,] 0.012054627 -0.1010876325 0.373277438 -0.072018973 -0.8150752476
## [450,] -1.422336801 -0.6695517414 0.494477666 -0.504225601 -0.3499116171
## [451,] 0.342133611 0.9291469178 -0.519441949 -0.838453134 -0.3223334058
## [452,] -1.829924638 -2.4021852235 -0.892011579 -0.152064160 0.0759597638
## [453,] -0.484220288 0.0429605111 -0.189466889 0.115269170 0.4091777819
## [454,] -0.482435963 -0.5070647518 0.404778479 -0.553293100 -0.1734093525
## [455,] 0.972979646 -0.1503289773 -0.049308997 0.506948394 0.1720798859
## [456,] -1.198785425 0.3364916499 0.494756697 -0.147821627 0.1016758719
## [457,] -0.225426032 -0.7491044280 -0.224370438 0.477457642 -0.5361690702
## [458,] -0.571668797 -0.3612489115 0.006881983 0.436844123 0.3019340195
## [459,] -0.482141691 -0.1794272022 -0.043697576 0.510127264 0.6733694070
## [460,] -0.309548924 0.2304236421 0.114637527 0.665361229 0.3199077091
## [461,] -0.999041862 1.1146528459 -1.117284997 0.689040819 0.5537425764
## [462,] -1.123832614 4.9581336925 -0.886731866 3.591598013 -0.5871910850
## [463,] 0.488325468 -0.0462299464 -0.531369578 0.383751065 1.0189269660
## [464,] 0.344589192 -0.0765341769 -1.082624362 0.163092490 -0.4963524427
## [465,] -0.658253511 -0.3129584449 -0.594959424 0.256698161 -0.1600514117
## [466,] 0.223223930 1.4700860059 -0.804221019 -0.005541270 -0.4061653296
## [467,] -0.555212156 -0.2170958245 -0.809387767 0.563504122 -0.5881572108
## [468,] 0.076677038 0.6404792504 -1.356209300 -0.068321249 -0.3122139454
## [469,] -1.099270464 2.0225405128 0.483563669 -0.679068588 0.6046420108
## [470,] -2.425717007 -0.9408861129 -0.133959458 0.374829645 0.0300465387
## [471,] 0.924815954 0.4955679709 0.271493006 1.207045823 0.9402146855
## [472,] 0.104368624 0.3193046533 1.032390830 0.608291184 0.3973472073
## [473,] 0.614923390 0.2799737367 0.064837589 0.000246286 0.1024202377
## [474,] 0.889614864 0.9246961441 1.085823439 -1.206656818 -0.4839705795
## [475,] -0.419258899 1.2867603886 0.403282990 0.138807336 0.2209332151
## [476,] 0.367305570 -0.3444775333 -0.345062063 0.425223320 -0.3655267250
## [477,] -0.049155752 0.2225068454 0.195224752 0.027736360 -0.4073010683
## [478,] 1.337188809 0.5365858519 -0.041952920 -0.041897079 0.7863400612
## [479,] -0.024030956 0.2726963978 0.651189204 0.259076986 -0.5098708464
## [480,] 0.808383394 -1.5668970121 -0.294290441 -0.135446630 0.2353454104
## [481,] -0.544923618 0.6168567753 0.360787470 -0.185386117 -0.6053952951
## [482,] -0.020448924 0.5596010017 0.238972704 0.281984868 0.2297284929
## [483,] -0.015465239 0.0341998123 0.556776251 -0.410366430 -0.0001525405
## [484,] -0.163288967 -0.2363141916 1.110535207 0.404965671 0.0866869538
## [485,] -0.959725312 -1.0374933742 0.281339803 -0.273903950 -0.2516387236
## [486,] 1.555748208 -0.0074068986 0.103548840 0.620787469 0.0066500562
## [487,] -0.100925216 -0.2480033888 0.236855524 -0.190191595 -0.7367867541
## [488,] -0.355060598 -0.6249667494 0.532054753 -0.572942001 -0.7416972638
## [489,] -0.865293960 -0.3426305869 0.107911866 0.387462633 -0.0895571414
## [490,] 3.200742182 0.1681848622 -1.037468192 -0.233454240 0.5205880964
## [491,] 0.211717707 0.6719224926 -0.478277765 0.094544374 -0.0149590726
## [492,] -0.552916738 0.1223216364 0.339129401 -0.965159125 -0.6851658328
## [493,] 0.929231997 -0.1972060738 -0.161505829 0.030338925 0.5659987102
## [494,] 0.564240369 0.2686459455 -0.516024743 -1.234008136 0.0270632156
## [495,] 0.565106052 0.4685793512 -0.573882748 -0.356776050 0.2895432749
## [496,] -0.437681039 -1.0429086282 0.759487730 -0.479171345 -0.6395383847
## [497,] -0.602030766 0.4096827364 -0.141544270 -0.126704802 -0.5507565750
## [498,] 0.213609008 0.0982391416 -0.007360691 0.100535897 -0.5819463924
## [499,] -1.103639415 0.6339022355 0.059087104 -0.286816236 0.3931897963
## [500,] -1.446663003 -0.5729903088 0.649548750 -0.535576844 0.2509909032
## [501,] -0.852480433 0.7049106403 1.345754994 -0.488514486 0.4163000633
## [502,] -0.507970681 0.2069805672 -0.080099530 -0.051659333 0.9747986067
## [503,] -0.241932508 -1.0452388229 -0.209946317 -0.039368061 -0.1874087571
## [504,] 0.066333057 1.1529703725 -0.991695109 0.167376682 -0.5695827223
## [505,] -2.200919526 1.0250951989 2.028889513 -0.236610613 1.1453491173
## [506,] -3.508790828 0.6042606963 -1.278500206 -1.872556795 1.0201289746
## [507,] -0.484723076 -0.1359505647 0.665044251 0.777877875 0.9392975863
## [508,] -1.947329468 0.4881934312 -0.255064594 -0.906528375 1.2755281468
## [509,] -0.833977551 -1.4088879023 -0.297979389 -0.073731957 0.6470988652
## [510,] -1.602111794 -1.0533691956 0.356568603 -0.428904878 -0.7303104811
## [511,] 0.253668588 0.5472551225 -0.542053825 -0.617650801 -0.0916288468
## [512,] 0.032979942 -0.8752970956 -0.295663965 -0.033414237 0.3412769300
## [513,] -0.136700223 0.3929176231 0.614735076 0.714787485 0.1215931340
## [514,] 0.072494321 -0.1758143289 0.255077079 0.311421297 -0.2139098582
## [515,] -0.773624515 -0.1454686759 0.499925801 0.270529716 -0.4082811925
## [516,] 0.046608047 -1.0005231004 -0.306962199 0.655600375 -0.0907347030
## [517,] -0.491293222 -0.5167539200 0.050028508 -0.131357405 0.2258787420
## [518,] -1.017677377 -0.0261084918 0.443355468 -0.658166813 0.5299438963
## [519,] -1.286369931 0.7480548590 1.375305788 -0.257540461 -0.2080778673
## [520,] -0.265206232 0.1942744924 0.462310866 0.357702019 0.7940768989
## [521,] -0.548135411 -0.8140726857 -0.987108671 -0.070507407 -0.0537361968
## [522,] -0.006685146 0.9611743974 0.397621795 -1.256638663 0.8486917334
## [523,] 0.097095633 0.7218828231 0.508127340 0.060557805 0.3878654534
## [524,] -0.600188263 0.1391868086 0.295156517 -0.243768633 0.0023377369
## [525,] -1.401965911 0.9527774834 -0.299971512 -0.503892654 -0.7846233548
## [526,] -1.210209018 0.8160391133 -0.373064638 0.292981675 -0.3609872357
## [527,] -0.364718273 -0.0462160782 -0.125638066 0.312293703 -0.2469249564
## [528,] 0.325770470 -0.0944504391 0.149150397 0.318904984 -0.2288534014
## [529,] -1.686010994 -1.7109061685 2.408540813 0.332918111 -0.1176166151
## [530,] -0.851940525 -0.0288485824 -0.205098471 0.032406632 -0.3895059803
## [531,] -1.101161685 0.0869517853 1.295452125 0.161515938 -0.9103205148
## [532,] -0.289073515 0.4730366470 -0.069618747 0.543463275 0.0572082633
## [533,] -0.197903630 0.4337496082 0.168973422 0.024829540 0.3191275798
## [534,] 1.934520374 -0.7275859760 0.757319150 -0.175980334 0.2702433954
## [535,] -1.550311718 -0.7176961616 0.139629661 0.188290346 -0.3701820155
## [536,] 0.578720770 -0.5430102167 0.951930849 -0.247809950 0.5286878926
## [537,] -0.523378449 -1.1495594767 1.091132033 0.323915796 -0.1038818740
## [538,] -2.337461193 -0.4830815304 0.501982823 -0.069804388 1.2788258192
## [539,] 0.042391707 2.1668488112 -1.479915189 -0.322804378 1.1801175946
## [540,] -1.158207647 0.1913668076 -1.796559226 0.876067543 0.9484780485
## [541,] -1.188472456 -0.6771595730 0.146514414 -0.291391323 0.1026424111
## [542,] 0.425520296 0.3979358310 -0.835301076 -0.383809102 0.6190792834
## [543,] 0.765081147 -0.4663049042 0.398228821 0.364670551 0.7941292239
## [544,] 0.068753051 -0.4148574879 0.507946096 0.278027691 0.2875814970
## [545,] -0.930763180 0.5238585798 0.300437607 -0.356308724 0.4182343622
## [546,] 0.114797260 -0.1161527345 -0.013618636 0.058006015 0.1323174915
## [547,] -0.145962831 0.2596286888 0.149437375 0.564356936 0.5746698535
## [548,] -0.677751360 0.0640445882 -0.970113001 -0.454875027 0.0952997770
## [549,] -0.112569772 0.4740694793 -0.169694808 0.410188208 -0.2194120652
## [550,] 0.854769667 1.0210226174 -0.160349809 0.446749349 0.3987268089
## [551,] 0.850625097 0.7520064103 -1.069484886 -0.588800008 0.0688498920
## [552,] 1.783207929 0.3901520318 0.873654798 0.310967487 0.3653727356
## [553,] -0.582689902 -0.6178681677 -0.938396865 0.362221796 0.4485215927
## [554,] 0.411907169 -0.3073955477 -0.357594218 -0.143055766 -0.4514830478
## [555,] -0.549918834 -0.4839795902 -0.892397382 0.435103530 0.2439245685
## [556,] -1.640362885 -1.0878956916 -0.349885533 0.514611257 -0.0049422107
## [557,] -0.814176294 -0.4706597676 -0.071321985 -0.701263764 -0.0705817127
## [558,] 0.174755382 1.0763071056 -0.129380621 -0.426655069 -0.2770426795
## [559,] 0.012441261 -0.2900018002 0.312069081 -0.067804247 -0.3254840515
## [560,] -1.724352624 -0.3536636324 1.163315907 -0.207312716 -1.3904847631
## [561,] -0.991190143 -0.0485030055 0.195049336 -0.325578857 0.4286949972
## [562,] -1.109815814 0.4879418774 1.288150901 -1.389256180 -1.7451271378
## [563,] 1.012707855 0.2712037562 -0.091882489 0.372148526 -0.6298691742
## [564,] -0.300488375 0.0947410215 0.733436507 0.830362739 0.4502424273
## [565,] -2.373104852 -0.5956056075 0.035439747 0.987060511 0.2567626672
## [566,] -0.246493221 -0.7156966020 1.112380784 -0.105114917 -0.1085369986
## [567,] -0.533977345 -0.1925887705 -0.341586475 0.393570521 0.5204194692
## [568,] 0.567437190 0.2228855560 0.279992246 -0.541558028 -0.0892176149
## [569,] 1.616415088 1.6974579729 -1.045433644 0.373772231 -0.0476836145
## PC11 PC12 PC13 PC14 PC15
## [1,] -0.262724285 -0.8582592992 0.103296775 -0.6901967966 0.601264078
## [2,] -0.812404827 0.1577837523 -0.942699807 -0.6529008436 -0.008966977
## [3,] 0.605071514 0.1242777100 -0.410265611 0.0166650952 -0.482994760
## [4,] 1.150501182 1.0104267377 -0.932450704 -0.4869883986 0.168699395
## [5,] -0.650787016 -0.1104182769 0.387606915 -0.5387065429 -0.310046684
## [6,] -0.109669824 0.0813699015 -0.026251351 0.0031339435 -0.178447576
## [7,] -0.393343607 0.2419761651 -0.351941936 -0.2216015267 0.060855369
## [8,] 0.196313828 -0.2777917914 -0.460630835 -0.0961356710 0.187478261
## [9,] 0.560021577 0.0788169039 0.493001875 0.1120530076 -0.034237132
## [10,] -0.548555069 -1.0841629631 -0.375475245 -0.0006033716 -1.206141020
## [11,] -0.294276512 0.6099198621 -0.692298563 -0.1301140961 0.091099184
## [12,] 0.150099383 -0.8725334105 -0.978852628 0.4132851288 -0.076575493
## [13,] 1.119190867 0.0520074379 -1.983208918 -0.2667913889 0.492408131
## [14,] 0.853628961 0.0628135272 0.194455743 -0.1212264306 -0.151174299
## [15,] 0.637371253 -0.5439530565 0.152152510 0.0208341513 -0.504094726
## [16,] -0.089892055 -0.0929155801 0.272937688 0.4193736451 -0.531937246
## [17,] -0.283115330 0.3228336349 -0.873313571 -0.2068809463 0.026977460
## [18,] -0.077022788 0.1450773283 -0.056826726 -0.5557727446 0.357788221
## [19,] -0.382631859 0.0680073259 -0.762829689 -0.1781151366 0.186075363
## [20,] -0.087947737 -0.3232036086 -0.240304220 -0.1497219434 -0.277740235
## [21,] 0.252743308 0.1820993618 0.534747411 0.5364927035 0.630306593
## [22,] 0.295829357 -0.1193713638 -0.105109885 -0.5505241800 0.208888166
## [23,] 0.747761739 -0.7897394650 0.018967583 -0.3939657391 0.178368816
## [24,] -0.845138812 0.1995874763 -0.760017755 0.1495561475 0.585041105
## [25,] -0.600095326 0.2321645154 -0.719018102 0.0560160318 0.622570169
## [26,] 0.196585356 -0.8095860291 -0.394727262 -0.9305675819 -0.282237083
## [27,] 0.441362589 -0.9739851395 -0.516422067 -0.7074323955 -0.383724915
## [28,] -0.412668030 -0.3158058348 -0.298472337 -0.2950812415 -0.235804579
## [29,] 0.370382886 -0.1246372082 0.129900549 0.1958202715 0.175956263
## [30,] 0.246904961 -0.0031839923 -0.222279620 0.1283529520 0.091747519
## [31,] -0.496378073 -0.1044630774 0.885636344 0.0692396351 -0.376293016
## [32,] -0.756864461 -0.2657615457 -0.522186276 -0.3000453967 0.072356014
## [33,] -0.585836567 0.2547032178 1.119529771 0.2184706425 -0.403789163
## [34,] 0.077919478 -0.1992975316 0.307173136 0.2036374012 0.068495324
## [35,] -0.326307877 -0.4066154950 -0.351748055 -0.0564880712 -0.224784255
## [36,] -0.328257659 0.2292843967 -0.619894462 0.2143138994 -0.067766013
## [37,] -0.217741168 -0.0195015091 0.032551005 0.1704452228 -0.479641248
## [38,] -0.032328754 0.4115801153 -0.245663247 -0.3627028769 -0.150524126
## [39,] 1.047288688 -0.6130946673 -0.290379074 0.1249868104 -0.401912364
## [40,] 0.591014507 -0.0004681369 -0.235544182 -0.4578511130 -0.668135575
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## [239,] 0.026156528 -0.0918083714 0.626202846 -0.1261223521 0.219254442
## [240,] 1.670502768 1.1137258889 0.439939206 -0.0595138695 -0.199016896
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## [448,] -0.133231991 0.4019948571 0.118891115 0.2602067542 0.264136144
## [449,] -0.254891123 -0.1987226600 0.314821465 0.1010173839 0.038052640
## [450,] -0.304759560 -0.0710633358 -0.290458504 -0.3611104671 0.112657703
## [451,] 0.282046443 -0.1482442235 -0.260896037 -0.1300141283 -0.054651126
## [452,] -0.377946437 0.2722833864 0.821258211 0.0367052224 -0.085581752
## [453,] 0.174111125 0.3164155124 0.135115267 0.1081551988 -0.105450385
## [454,] 0.331494073 0.8308225070 -0.140172461 0.0661953025 -0.445273031
## [455,] -0.179513237 0.1084479294 -0.128914509 -0.1182160646 -0.049743526
## [456,] 0.797047053 0.8962375496 -0.132217275 -0.0094586059 -0.047588366
## [457,] -0.204478448 -0.0879105786 0.581589377 0.2314154786 0.309254048
## [458,] -0.035684549 0.4289464068 0.269673560 0.2916575984 -0.090558303
## [459,] 0.312084352 0.0333102098 0.292259187 0.2690636115 -0.089129909
## [460,] 0.389759897 0.1576981922 0.482690501 -0.2214880341 -0.105395304
## [461,] 0.174174817 0.6699233670 -0.789252842 -0.1252472729 0.169500421
## [462,] -0.303026281 -0.4863006614 0.416553368 0.7203250975 0.214626989
## [463,] 0.339949255 0.0650662525 0.829514053 0.0336627078 -0.012832974
## [464,] 0.048554101 0.3066206167 -0.268281182 0.0034940978 -0.140625209
## [465,] 0.197027639 -0.3979179614 0.073201371 -0.2769069133 -0.077058593
## [466,] 0.010409429 -0.6880358416 -0.253546790 0.7249879119 -0.468468560
## [467,] 0.439378419 -0.3404106882 0.495375677 0.0627561683 -0.088792334
## [468,] -0.364180390 -0.1631137476 0.125574467 -0.4001931920 0.166251942
## [469,] 0.535093911 -0.0377950008 -0.464832463 -0.3503553816 -0.290794655
## [470,] -0.031264444 -0.6301533197 -0.151333198 -0.2751542086 0.303176650
## [471,] -0.426781323 -0.6005732735 -0.057537138 -0.1610642908 -0.134786921
## [472,] 0.143857161 -0.3980403216 -0.213639067 0.0122987635 -0.489240636
## [473,] -0.061735650 -0.4849848951 0.140008297 -0.0810339971 -0.164634978
## [474,] -0.924547217 -0.1650804727 0.331463040 -0.1098471364 -0.147999119
## [475,] 0.138131568 -0.3317485069 0.468648050 0.5125091603 -0.247577084
## [476,] -0.080959244 -0.0289294939 0.300967232 0.1986298009 -0.100281123
## [477,] 1.085108710 -0.1974767354 -0.349026227 0.3471315498 0.292199581
## [478,] -0.234743745 -0.6218627235 0.326319542 -0.1666228749 -0.095218142
## [479,] -0.571209393 0.3346104094 0.011104735 0.4531241029 0.081815173
## [480,] 0.359354672 -0.2436266529 0.720356304 -0.0240276564 -0.110665541
## [481,] 0.210596861 0.0019211493 0.282324590 0.2574975838 0.394276265
## [482,] -0.182316821 -0.0185594843 0.025351655 -0.0237769481 -0.107980895
## [483,] 0.270190534 0.4252029656 -0.191220618 -0.1431104463 0.013293072
## [484,] 0.200475839 0.4272385494 0.213721370 0.1529513498 0.147794029
## [485,] -0.234680765 -0.2387525922 0.559555778 0.0317958809 0.039764720
## [486,] 0.430098593 0.0027740551 -0.486312026 0.2571649705 0.331462832
## [487,] -0.131537575 -0.0758429334 0.198911781 0.4966581680 0.038938641
## [488,] -0.910120607 0.1278456077 0.248345979 -0.0418222828 -0.109347069
## [489,] 0.136164018 0.2297130909 -0.285864175 0.1563344287 -0.133126097
## [490,] -0.488433850 -0.0030835220 -0.416074175 0.2769279910 0.338978930
## [491,] -0.118056633 0.3172047241 -0.253614426 0.0166237469 0.139340391
## [492,] -0.236364830 -0.1156699908 -0.040531331 -0.0817350822 0.166193133
## [493,] 0.083064008 0.1525496447 -0.243737947 -0.0435775273 0.104310001
## [494,] -0.573934139 -0.4560072102 -0.107550060 -0.8137681126 -0.315438432
## [495,] -0.295988005 -0.5455273504 0.123248220 -0.0816772472 0.208984125
## [496,] 0.231234573 0.4316795917 -0.066079150 0.0232705761 0.037494299
## [497,] 0.610689995 0.3742372700 -0.090040303 -0.0212508453 -0.054908668
## [498,] 0.300126379 0.1155013169 -0.183410977 0.0417925930 0.194895575
## [499,] -0.353942968 0.0204796200 -0.153061859 -0.3316317313 0.178519722
## [500,] -0.312833478 0.0177142577 0.524231545 -0.2019981327 -0.039947058
## [501,] 0.524760738 0.2833474941 0.578547357 -0.3805010924 0.424063489
## [502,] 0.078581127 0.1589725855 -0.459371917 0.0886805410 -0.277104620
## [503,] 0.144988459 0.4971942289 0.156019871 0.2908596514 0.291407020
## [504,] 0.568692192 0.1591408726 -1.192610465 -0.0713913148 0.588139305
## [505,] 1.080449875 1.2872881358 -0.495769149 0.6445579993 0.527081026
## [506,] -0.532755725 -0.2330164053 0.405118974 -1.1787557829 0.697074701
## [507,] -0.085401709 0.3217213228 0.983286586 0.3964982056 0.162894013
## [508,] -0.108770577 0.8129051426 -0.482391321 -0.5471119183 -0.225514190
## [509,] -0.019377981 0.1656588036 -0.236746460 -0.1878996254 -0.253631518
## [510,] 0.315947790 -0.0633472245 -0.206100209 0.0753920244 -0.021392718
## [511,] 0.484421963 0.1018668018 -0.386568709 -0.5768630595 -0.199326510
## [512,] 0.031575776 -0.2221749564 0.050687499 0.0407637532 -0.145970771
## [513,] 0.135649014 0.2492132654 -0.050143738 -0.8348939124 -0.128536902
## [514,] -0.135202274 -0.0543952913 0.418043070 0.5273173190 -0.165610991
## [515,] -0.064727834 -0.0224106269 0.244545028 0.1173740572 0.285898324
## [516,] 0.451158779 0.1301333251 0.229984996 0.2409078135 0.202386680
## [517,] -0.378334890 0.4585978463 0.432548534 0.1643351329 -0.061591672
## [518,] -0.307955690 0.2155187072 0.250244636 0.0371526685 0.071695283
## [519,] 1.360660429 0.5824280478 -0.111959951 0.3741259219 0.611827875
## [520,] -0.102785755 0.0738025801 0.062243888 0.4609627146 0.131045355
## [521,] 0.612723387 0.5085776252 -0.378416410 0.2571183721 0.553318076
## [522,] -0.051582825 0.4547128004 0.153356168 -0.7153258534 0.580934936
## [523,] -0.033046285 0.5166550389 0.271235410 -0.1720627144 0.217063747
## [524,] 0.355608475 0.1695525595 -0.605430233 -0.2977521130 0.326759656
## [525,] 0.277677070 -0.0613360894 -0.228041607 -0.3038124014 0.274499918
## [526,] -0.198384362 0.1371981708 -0.402980729 -0.2082814229 0.020684502
## [527,] 0.309372372 0.3712575625 -0.371678106 0.5098053277 0.253277883
## [528,] -0.231142007 -0.3013142461 -0.210626459 0.0825059098 -0.067296687
## [529,] -0.219224214 -0.7394725201 -1.201093310 0.3455021564 -0.152491963
## [530,] 0.216413846 0.6185806863 0.152807569 0.2086865471 0.229300628
## [531,] 0.451754145 -0.0200918317 -0.473948090 -0.1120267764 0.338057888
## [532,] -0.086230934 0.1354021183 0.176578027 0.5661383428 0.117613574
## [533,] -0.001336357 0.3487433903 -0.007837856 0.0831809793 0.343581930
## [534,] -0.166751294 -0.3515839280 0.035170250 0.1198560686 -0.056538788
## [535,] 0.025043256 -0.7064204808 -0.089502692 0.2487319465 0.329438223
## [536,] 0.119327440 0.2425811937 0.866156292 -0.4366418554 0.123746381
## [537,] -0.464140951 -0.1730744501 0.443281415 0.2770337868 -0.384797629
## [538,] 0.664816782 -0.4952302847 -0.578224175 0.2634443771 0.299110655
## [539,] -0.458713646 0.5591542720 0.483950802 -1.0712172096 -0.321584546
## [540,] -0.391631186 -0.5494563493 0.953941633 0.0364970323 0.890138666
## [541,] -0.459932233 -0.8716409253 0.133864842 0.2918316525 0.533705303
## [542,] 0.266156193 -0.2189951786 0.061736966 0.4096515445 -0.229038048
## [543,] 0.344308231 0.2851593715 -0.174263087 -0.3021703935 -0.091722354
## [544,] 0.754494648 0.4561970056 0.339310370 -0.0022268022 0.118843048
## [545,] 0.378936346 0.4402644382 0.317526133 0.1310562140 0.477112943
## [546,] 0.365464087 0.4277763898 -0.006784619 0.5236760757 0.051723764
## [547,] -0.337592217 -0.0267608899 0.312776967 0.1747521872 0.025219973
## [548,] -0.043766957 -0.1056845291 -0.298157590 -0.3004703745 -0.194792207
## [549,] -0.048982818 0.3764808300 -0.195677690 -0.3816380198 -0.193683020
## [550,] -0.110930947 -0.4798931054 0.136682319 -0.0916403900 0.237267418
## [551,] 0.128935162 -0.0436164575 1.049012602 -0.3209498675 -0.116741765
## [552,] 0.349763750 0.7505424152 0.143475685 0.4511670949 -0.048829098
## [553,] 0.644600706 0.4766294202 0.237775205 -0.1124291332 -0.046746718
## [554,] 0.301796214 0.7442879709 0.302072874 -0.5137654154 -0.141810425
## [555,] 0.098400188 0.3661140595 0.821460859 0.0887376200 -0.135310151
## [556,] 0.135366891 -0.1830112191 -0.252318027 -0.3284920680 -0.296758580
## [557,] 0.187702105 -0.8112516794 0.618198182 0.2062748530 0.180616703
## [558,] -0.372813857 -0.5775177218 0.713112793 -0.2595316849 -0.354395012
## [559,] 0.907324382 0.1933450191 0.452057650 0.4038191075 0.390851280
## [560,] -0.645197281 -0.3143226726 0.073104178 -0.2286369640 0.135232164
## [561,] 1.315903353 0.7410877051 -0.442232067 0.1623571454 -0.310794816
## [562,] -0.569745725 -0.5567515908 0.371393741 0.0059625202 -0.058401266
## [563,] 0.241409376 -0.1284484850 1.010978343 -0.5618115101 -0.980066745
## [564,] 0.747115186 0.5137902382 0.605723215 -0.9204421040 -0.160428761
## [565,] 0.062596180 0.1232334490 -0.051677832 -0.4039342494 -0.652176589
## [566,] -0.244588350 0.2225567578 -0.192467698 0.0155416535 0.069913471
## [567,] 0.839772720 0.0963880851 0.157279563 0.2854397183 -0.090917772
## [568,] 0.178471102 -0.6968480142 1.224117875 0.2185054033 -0.229389196
## [569,] 0.143967465 -0.1793386428 0.678300647 -1.1696954484 -0.217152272
## PC16 PC17 PC18 PC19 PC20
## [1,] 0.7444607451 -0.2652373958 -5.490796e-01 0.1336499023 0.3452611113
## [2,] -0.6482383131 -0.0171970719 3.180176e-01 -0.2473469895 -0.1140327429
## [3,] 0.3248247158 0.1907506408 -8.789759e-02 -0.3922811953 -0.2043524231
## [4,] 0.0513250859 0.4822096009 -3.584323e-02 -0.0267241008 -0.4643251074
## [5,] -0.1524716533 0.1330252645 -1.869779e-02 0.4610302383 0.0654378154
## [6,] -0.0127056581 0.1967133529 -2.972771e-01 -0.1297264835 -0.0711745335
## [7,] -0.0279433054 -0.3200829050 1.230170e-01 0.0035239593 -0.0444495512
## [8,] -0.3365097518 0.1614215017 -4.908981e-02 0.2196830773 -0.0106331412
## [9,] 0.5070582930 0.2854754597 -2.870772e-01 -0.1822709687 -0.0197682471
## [10,] -1.1318257248 0.7584688292 -2.387387e-01 -0.1275685149 0.1779240553
## [11,] -0.0138706093 0.2849159741 -6.134944e-02 0.1720437193 0.0937289351
## [12,] -0.0187810714 0.1611055355 -4.159689e-01 -0.1367793291 0.0566814179
## [13,] -0.2920952462 0.0531727295 9.339577e-01 0.9728881275 -0.3157956887
## [14,] -0.1992780260 0.0096995090 9.339247e-02 0.1010674465 0.1967267792
## [15,] -0.1618282348 0.1754310229 2.238806e-01 -0.0531840832 0.3639545281
## [16,] -0.6382781617 0.1798611136 -1.718454e-01 0.0906929739 -0.2822197817
## [17,] 0.2443739278 -0.0458383708 -2.208124e-01 -0.0808510853 -0.1668401722
## [18,] 0.2215767406 -0.0781818510 5.021716e-02 0.3243354151 0.1355909907
## [19,] -0.1393548032 -0.6855739616 -2.705080e-01 -0.4576544799 -0.0261720852
## [20,] 0.1209221166 -0.1193080949 1.076572e-01 -0.0023196540 0.0627784940
## [21,] -0.1439936507 0.2273189096 -9.075712e-02 0.1205914711 0.1354815837
## [22,] -0.2156163397 0.0416265799 -4.312105e-02 -0.2850057948 -0.0664739762
## [23,] 0.0779077052 0.0516753915 -1.351681e-01 -0.2505840594 0.2833238390
## [24,] -0.1695420732 -0.5795650326 -1.524509e-01 -0.4622425441 0.2441235537
## [25,] 0.2252070093 -0.9343378255 -4.239600e-01 -0.2004324503 0.0316699323
## [26,] 0.5428895558 -0.2315565339 -9.462169e-02 0.1754609443 0.1261898383
## [27,] 0.0290689442 0.4558248771 -1.573099e-01 -0.2028349509 0.3681010830
## [28,] -0.2633107617 -0.0230320660 5.164379e-02 0.3674136487 0.0390322000
## [29,] 0.3507423311 -0.2024818286 -5.140403e-01 0.1407887067 0.1935393255
## [30,] 0.0540947447 0.0555750576 -6.736093e-02 0.2280003716 -0.2726557691
## [31,] 0.3051862215 -0.1875623435 -1.935028e-01 0.2018598204 0.0776311316
## [32,] -0.6162327985 0.1233210520 -5.884654e-01 0.1115639655 -0.2376973065
## [33,] 0.5443556733 -0.1853860373 -2.905819e-01 -0.1327205151 -0.3102765519
## [34,] -0.6799791601 -0.0524136346 -1.278924e-01 0.3484526710 0.0977244882
## [35,] -0.2649508034 0.5116666688 -5.148992e-01 -0.0449359045 0.1396499273
## [36,] 0.3963311465 0.3424367694 -2.523528e-01 0.5088120277 -0.0182262570
## [37,] -0.1353052207 0.1325066667 -1.212405e-01 0.1760177562 -0.0783161394
## [38,] -0.4865692197 -0.0171701023 9.749344e-02 -0.3466943841 -0.0311932418
## [39,] -0.5775705797 0.6852634929 -6.832692e-01 1.0176759372 -0.5936297787
## [40,] -0.2486170983 -0.3725864432 4.074237e-01 -0.2392380729 0.0653398462
## [41,] 0.0858440131 0.0154061997 -1.124179e-01 -0.2063437638 0.1529980089
## [42,] 0.4138240100 -0.1707322382 3.545141e-01 -0.0644683713 0.0680433928
## [43,] -0.1168940426 -0.5396200806 3.638398e-02 0.1722399585 -0.3325881394
## [44,] 0.2139096807 0.0237139886 -2.109543e-01 0.0982275226 0.0303717372
## [45,] 0.3840819798 0.2459056676 -1.469466e-01 0.0157458771 -0.0966009077
## [46,] -0.0516728726 -0.3229228398 -8.174019e-03 0.1334369447 -0.1998283033
## [47,] 0.4341320342 0.0058211607 8.968932e-02 -0.2077530623 0.0078418173
## [48,] -0.0343499856 0.1432864234 1.566433e-01 -0.2386347890 -0.2403366743
## [49,] 0.0675974293 -0.1890272279 8.181192e-03 0.2854018034 0.0309365297
## [50,] 0.1742017650 0.0643542582 5.355821e-02 -0.2002754121 0.2156803986
## [51,] -0.0583889171 -0.0825241914 -1.534190e-01 0.0859253386 -0.0634891959
## [52,] 0.0267599697 0.2211230693 1.393874e-01 0.0785551072 0.0905176134
## [53,] -0.1451536668 -0.0455372106 7.295476e-02 -0.0932288239 -0.0218792424
## [54,] 0.4610520393 0.0023119228 -2.167759e-02 -0.0116195406 -0.1570539642
## [55,] -0.0273991255 -0.1756512312 2.032964e-01 -0.0520325983 0.0649106633
## [56,] -0.0455436441 -0.0730332412 -1.409306e-01 -0.0752782585 0.0300697515
## [57,] -0.0136346681 -0.2686278403 -3.472606e-02 -0.2406998187 0.0511072884
## [58,] 0.0076276816 0.4698692126 -4.504667e-01 -0.3869577956 -0.1062390440
## [59,] -0.2005621445 -0.2045630549 -1.277670e-01 0.2367277317 0.0578713266
## [60,] 0.2370915417 0.0415790617 5.176941e-01 0.1482043271 -0.4564661004
## [61,] -0.5946048047 -0.5785348079 1.139374e-01 0.0079325268 0.2453309910
## [62,] -0.1743616455 -0.0787539271 -1.120703e-01 -0.0880295467 -0.2495215707
## [63,] 0.1448061468 -0.4050970648 6.565549e-02 0.2559123023 -0.4289500187
## [64,] -0.0842293958 -0.3369495728 2.902474e-01 -0.3645193658 -0.0218847216
## [65,] 0.2644121106 -0.3189750634 1.006240e-01 0.0343908745 -0.1639586428
## [66,] 0.4712897357 0.1030461736 5.156184e-02 -0.0435454461 0.0120385599
## [67,] 0.0720499724 0.2325538744 1.455717e-01 -0.0720682257 0.0790225044
## [68,] 0.2757212862 -0.2805237812 1.404927e-01 0.0372159025 0.0833649877
## [69,] -1.0626005498 0.1850617241 -1.347993e-01 -0.2668952190 -0.3814350912
## [70,] -0.1078434849 -0.1246143671 -1.511215e-03 -0.0201171368 0.0939379250
## [71,] 0.0723592874 -0.3383160278 -3.527509e-01 -0.0525835369 -0.0289468771
## [72,] 1.4898419365 -0.3943927763 -4.943103e-01 -0.2226188045 -0.0047807310
## [73,] -0.7025900371 -0.3233144668 -2.690081e-01 -0.2103448772 0.0834048136
## [74,] -0.2314069611 -0.1111854157 4.271094e-02 0.0376418646 0.0935975116
## [75,] 0.0555184949 0.0419709202 -1.141890e-01 -0.1821769894 -0.0116456811
## [76,] 0.1968371132 -0.2604316743 5.447432e-03 0.2750953606 -0.1701957699
## [77,] 0.0605687046 -0.1926071856 -3.781177e-01 -0.2349473090 -0.0699485241
## [78,] 0.2213986609 0.2564393586 -8.694054e-05 -0.0296330599 0.2318213569
## [79,] -0.1022416133 -0.4371565117 6.541248e-01 0.6232020130 0.6572255334
## [80,] -0.0569375771 0.0933913214 -6.405911e-02 0.1272588554 0.2678163105
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## [466,] -0.5974218658 -0.1471347025 -1.849631e-01 0.0873280813 -0.3477157152
## [467,] 0.0291153507 -0.2534408859 4.252163e-02 0.1488658763 0.0808908761
## [468,] 0.3421853326 -0.0986465839 5.041461e-02 0.2709480873 -0.0442397637
## [469,] 0.1763564924 -0.0372038848 -2.845932e-02 -0.0736369742 -0.1005821487
## [470,] 0.0172054420 -0.0308367920 4.471065e-02 0.2432901471 0.1623773566
## [471,] 0.0453408189 0.0054958394 -5.969832e-03 -0.0895727295 -0.1057466710
## [472,] -0.0375389091 -0.0185752968 -3.814678e-01 0.2193251118 -0.1105674525
## [473,] -0.3061000700 -0.0456225836 -1.504954e-01 0.0183164709 0.0824946722
## [474,] -0.3118583243 -0.1663433967 -6.947857e-02 0.1596341500 -0.1369845189
## [475,] -0.5691688283 -0.1311857188 8.801939e-02 -0.1537656514 -0.0164150330
## [476,] 0.0117212288 -0.0724106602 5.570345e-02 0.0750153505 -0.0219888150
## [477,] -0.0680199510 -0.0159018154 -6.871319e-02 -0.0502469230 0.1534418424
## [478,] -0.1709974620 -0.0123870580 1.253255e-01 0.0402899453 0.0872854803
## [479,] -0.2423751707 0.2024671275 9.986513e-03 -0.0191811381 -0.0776162133
## [480,] 0.0066630909 -0.0333292719 9.492904e-02 0.1037114236 0.1504849896
## [481,] 0.0730122133 0.1229340999 -1.878168e-02 0.0273209128 0.1648002007
## [482,] -0.0625536671 -0.0670321490 -1.133739e-01 -0.0066267371 0.0204274114
## [483,] 0.0807803538 0.3695553903 -9.558657e-03 -0.1087302625 -0.0145514514
## [484,] -0.1108431089 0.0993002176 -8.432065e-03 -0.0759792888 0.0589537649
## [485,] -0.1179671609 -0.2487553324 3.755785e-01 0.2183619219 0.0804185129
## [486,] -0.2231144879 -0.0609497955 9.549203e-02 0.1245838741 -0.2692460854
## [487,] 0.1344296202 0.0451822383 -1.368277e-01 0.0478395415 0.1626515967
## [488,] 0.3504701936 -0.0342112188 -1.722325e-01 -0.1952482257 -0.1726036657
## [489,] -0.0886881633 -0.0843837467 -4.710080e-02 0.0779530510 0.1300871141
## [490,] 0.0907135127 0.9633209004 -6.703700e-01 0.4577529577 -0.0821731674
## [491,] 0.2775019763 0.2758897054 -9.571030e-03 0.1151118680 -0.0749493374
## [492,] -0.0621296592 0.0166135409 -1.918704e-02 0.2927827630 0.0650347032
## [493,] -0.1897339023 -0.0714451555 3.853807e-02 0.1814519333 0.0840049422
## [494,] -0.1719195076 -0.1391153592 -1.557396e-01 0.0534505330 0.3398210898
## [495,] 0.0298281101 0.0158373235 1.605788e-01 0.1924366003 -0.0825680683
## [496,] 0.0821806078 0.1322074081 7.798112e-02 -0.0934486716 0.1347701593
## [497,] -0.0358778749 0.2001729450 -5.753610e-02 0.0269178916 -0.0721536210
## [498,] 0.3028308700 0.1781680304 -9.454086e-04 -0.0391171702 0.0452046506
## [499,] -0.2458954590 -0.0950845250 8.196982e-02 -0.0281701607 -0.1726967460
## [500,] -0.1178393087 -0.0117894072 1.272862e-01 0.0101121466 0.0908039604
## [501,] -0.0971088399 0.1849624673 -1.226702e-01 0.0608150700 0.0748990612
## [502,] -0.0731260646 0.0669510233 3.999921e-01 0.2900773883 -0.0053964739
## [503,] -0.2466572140 -0.0012957265 1.336005e-01 0.0965700290 0.1928583877
## [504,] -0.3891070161 -0.0692886438 -4.328159e-01 -0.0792224197 -0.1311026627
## [505,] -0.4989273290 0.0614426403 1.472576e-02 -0.0052089236 0.1871894308
## [506,] 0.1061688558 0.1450975453 1.952681e-01 0.1988225061 0.3483613390
## [507,] -0.5869003919 -0.0713984513 1.147645e-01 -0.0515120701 0.0833758506
## [508,] -0.4477928280 0.2116429077 1.901902e-01 -0.1937817362 -0.0831327797
## [509,] -0.4326986916 -0.0421231224 4.042337e-01 -0.0714777001 -0.0411972178
## [510,] 0.0811069349 0.1173216262 2.709368e-01 -0.0068353403 0.1695494454
## [511,] -0.0251036033 0.1275815587 7.160374e-03 -0.3158463077 0.0718202346
## [512,] -0.1656525129 -0.0253422903 1.276502e-01 0.0321720287 0.0174672338
## [513,] 0.1002469618 -0.0122560627 -3.978731e-02 -0.1399808860 -0.1245712341
## [514,] 0.0337297517 -0.1151432061 -2.808120e-01 0.1177171098 0.0119567274
## [515,] 0.0430813394 -0.1123016706 -2.662367e-02 0.0242755669 0.0858319996
## [516,] 0.0036030549 -0.0917038623 1.850439e-01 -0.1336185270 -0.0104974251
## [517,] 0.1917801920 0.0156821488 -6.479661e-02 0.0497413311 -0.1812578717
## [518,] -0.5242638655 -0.1324175078 4.164366e-02 0.1739884378 -0.2905878805
## [519,] -0.0403973202 0.0983046405 -1.417744e-01 0.1817929811 0.2574283017
## [520,] -0.2654299713 0.0557073790 -4.489172e-02 0.2980716460 0.1251235465
## [521,] -0.5662658617 0.0688884138 -4.355084e-02 -0.0827461636 0.0817261030
## [522,] -0.1930575838 0.1638605084 1.696156e-01 0.0564170440 -0.0405222312
## [523,] 0.0367359627 0.2271729812 9.887981e-02 -0.0959645408 -0.0860998270
## [524,] -0.1157537076 0.1773029044 2.921844e-01 0.0806429725 -0.0289322155
## [525,] 0.3472701757 0.1286726709 4.361274e-03 -0.0003997164 -0.0658280590
## [526,] 0.0997620180 0.1237155150 3.308483e-01 -0.1543674922 -0.2362715510
## [527,] 0.1779140177 0.2259259121 1.293641e-01 0.2521963074 0.0172741437
## [528,] 0.4493965033 0.2358398169 2.839421e-02 -0.1211408420 0.0401779785
## [529,] -0.4918703631 0.3934087720 -2.733424e-01 0.0808508482 -0.3937157839
## [530,] -0.1573548181 -0.0332560589 4.103334e-02 0.1527013574 -0.0954426500
## [531,] 0.2357778568 0.1714303720 -1.682333e-01 -0.0480760651 -0.0048463579
## [532,] 0.0664241146 -0.0049832053 2.166153e-01 0.1474758498 0.0376285657
## [533,] -0.0589653404 0.1378144328 -5.111800e-02 0.1123664221 -0.0998720750
## [534,] 0.0011489071 0.1106196364 1.793498e-01 0.0120397051 -0.0228969758
## [535,] 0.1671650757 0.1637494512 2.267327e-01 -0.2011274932 0.0996771994
## [536,] 0.2236113177 -0.0556410397 -1.201821e-02 -0.1633614569 -0.0988305409
## [537,] 0.1441660514 0.0503790828 7.972177e-02 -0.0689864988 0.1948700448
## [538,] -0.1845235859 0.2560471166 2.157609e-01 0.0185852693 0.1565496905
## [539,] 0.2246393773 -0.0759854108 -2.144004e-01 0.1077679119 -0.0754591770
## [540,] 0.1157153017 -0.0946085126 5.607015e-01 -0.1632070601 -0.4108193773
## [541,] -0.0562823823 0.1692280446 -1.213046e-02 -0.0535534599 0.1078587734
## [542,] -0.1524138427 -0.0391271728 1.677550e-01 0.1610284957 -0.1314182663
## [543,] -0.2181697442 0.0270419575 7.676963e-02 -0.0335181090 0.1858465398
## [544,] 0.1223984599 0.1891922492 -3.446057e-02 -0.2263650827 0.0703565400
## [545,] -0.4367745068 0.0792966644 1.675768e-01 0.2307348371 -0.0359430593
## [546,] -0.0494701048 0.0013069407 4.558326e-02 -0.0629478688 -0.1050644118
## [547,] 0.0091468550 0.0290324891 1.488410e-02 0.0181300769 0.0288337616
## [548,] 0.2476202326 -0.1276536694 4.694131e-01 -0.2003872236 -0.0195139777
## [549,] 0.1388873508 -0.0515030353 -4.852651e-02 0.0264827985 0.1271702623
## [550,] 0.0847374464 -0.1500183423 -7.870783e-02 0.3579268358 -0.1824970475
## [551,] -0.0103802678 -0.3204581803 -9.803317e-02 0.0202986827 0.0295470955
## [552,] -0.0057459625 -0.0405914791 6.431842e-02 -0.3217160263 -0.1685804913
## [553,] -0.0573291350 0.0452087235 1.212636e-01 -0.0765829801 -0.0502932900
## [554,] -0.4351182523 -0.1917622682 -1.571844e-01 -0.2947566845 0.1635577852
## [555,] 0.0048691691 -0.0303433227 8.876475e-02 0.0041081275 -0.1145334139
## [556,] 0.0206805941 0.1334742843 1.145619e-01 -0.1800354098 0.1188747634
## [557,] -0.2612530693 -0.0405031771 -1.773446e-01 -0.2615734828 -0.0134633024
## [558,] 0.1100555556 -0.2497956869 -4.510752e-01 0.2787558115 -0.0588049466
## [559,] -0.1194566710 0.1244195792 1.484120e-02 0.0607378108 0.0576588492
## [560,] 0.2761350539 0.2273597903 -6.871634e-02 -0.0276269369 0.1478646421
## [561,] -0.1693243274 0.0815532304 -2.099437e-02 0.0818645399 0.2514566080
## [562,] 0.1807754237 0.0762688515 -3.325661e-01 0.0845524505 -0.0415106978
## [563,] -0.8029651181 0.1220605895 -4.950476e-01 -0.1819617089 0.3143066179
## [564,] 0.0098729574 -0.0800009784 6.354433e-02 0.5562492156 -0.1554353516
## [565,] 0.1475121301 0.3479599809 -1.950425e-01 -0.2460983953 -0.4040909029
## [566,] -0.1380625998 0.2932365347 -1.089496e-01 -0.1823602477 -0.2297445474
## [567,] -0.2324439379 -0.0655571760 2.108950e-02 -0.0419829133 -0.0813483422
## [568,] -0.0609931700 -0.1683659911 -3.066037e-01 0.3102957595 0.1730640918
## [569,] 0.9204776932 -0.3045424620 -1.808133e-01 0.1889373346 0.1631105493
## PC21 PC22 PC23 PC24 PC25
## [1,] 0.0964300446 -0.0687893946 8.444429e-02 0.1751022126 0.1508872943
## [2,] -0.0772594939 0.0944953050 -2.175267e-01 -0.0112801927 0.1703603547
## [3,] 0.3107932463 0.0602560125 -7.422581e-02 -0.1026714190 -0.1710076559
## [4,] 0.4338116608 0.2030870644 -1.239955e-01 -0.1532947800 -0.0774275740
## [5,] -0.1164424689 0.0176343316 1.393310e-01 0.0053271101 -0.0030593705
## [6,] -0.0024001785 0.1010804263 3.344819e-02 -0.0028377493 -0.1222827647
## [7,] -0.0497039122 -0.0909661524 -1.428548e-01 0.0801136391 0.2774169346
## [8,] 0.0446160665 0.1312420402 -2.402675e-01 -0.0962489988 0.1953110200
## [9,] 0.0956161490 -0.1961497958 -5.867294e-02 0.0884762672 -0.1302274924
## [10,] -0.2564517862 0.7160864577 1.671813e-01 -0.2158422553 -0.1346590354
## [11,] -0.1931514370 0.1797289643 1.239130e-04 -0.0661301394 0.1793508578
## [12,] 0.0256613371 0.1785045463 -2.105003e-01 0.1707930257 -0.2775786245
## [13,] -0.0212336227 -0.2717732995 8.302672e-01 0.5694022242 0.2050807032
## [14,] 0.0536465611 0.2250613132 1.057031e-01 -0.0118578557 0.0109923447
## [15,] 0.1057076291 0.0548565083 5.742781e-03 0.1230654885 -0.1363435633
## [16,] -0.0751373662 0.0433461466 1.334490e-01 0.1175438173 -0.2497804016
## [17,] -0.2344824832 -0.0800755365 -1.157460e-01 -0.0257880551 0.1982873357
## [18,] -0.1000151185 0.2316735867 -1.000205e-01 -0.1851440561 0.2205773586
## [19,] -0.0712281618 -0.3695846503 2.874512e-02 0.3278945116 0.1650638434
## [20,] -0.0042437600 -0.0571347487 2.945411e-02 0.0927005896 0.0899440626
## [21,] 0.1108892757 -0.1668964790 3.887662e-03 -0.0412016079 -0.0692929154
## [22,] -0.0733857126 -0.0551410551 1.379913e-01 -0.0349132014 -0.2320428771
## [23,] 0.1246145246 -0.2051975642 -7.854400e-02 -0.0946139362 -0.0752040336
## [24,] -0.1903107396 0.1253718436 -1.521652e-01 0.1059576635 0.0372312067
## [25,] 0.1055683715 0.1636112461 1.458986e-01 0.1809515336 0.2961245192
## [26,] -0.0568217163 0.1071936741 -1.553465e-01 -0.0414444675 0.1546978225
## [27,] 0.0163246146 -0.0141963492 -5.970130e-01 0.2221582674 0.0103514077
## [28,] -0.1014472410 0.0490161400 -3.782756e-02 -0.2044090783 -0.0458583192
## [29,] 0.0617522965 -0.2965392069 5.075293e-02 0.2219116625 -0.3516296603
## [30,] -0.1913776215 0.0214862498 -2.929037e-01 0.1208650268 -0.1369103839
## [31,] 0.0595587515 0.2771629842 1.088098e-01 -0.0532229335 0.1666814036
## [32,] -0.1063311988 -0.2066568837 2.611420e-01 -0.1086780448 0.0057569554
## [33,] -0.0434313811 -0.0112246042 5.029196e-02 0.0301623182 -0.1101463645
## [34,] 0.6876197560 -0.0004074532 9.408438e-02 0.0229190936 -0.3765055802
## [35,] 0.0504027758 0.2876283914 -4.554592e-02 0.0539289063 -0.0656662192
## [36,] 0.4640921393 -0.3482940477 2.944944e-01 -0.1828347635 0.2537595842
## [37,] -0.1467733578 0.0054986329 1.521665e-01 0.2579466860 -0.0797662411
## [38,] 0.2840168766 0.0526557024 1.154075e-01 0.0203929562 -0.1382255860
## [39,] 0.4043981179 -0.1406766632 1.049883e-01 -0.3703681389 -0.3094285067
## [40,] 0.2089804524 -0.2310395766 -4.420531e-01 0.1221456978 0.2819915427
## [41,] -0.1590984393 -0.1873591123 -2.090009e-01 -0.0034415007 0.0283145970
## [42,] -0.3980497527 -0.0355253748 1.527768e-01 -0.0471781829 0.0878759905
## [43,] -0.3945969239 -0.1220412364 -2.748425e-01 0.3141513454 0.0472694608
## [44,] 0.1630859956 0.1050367727 3.885715e-03 -0.0553808770 0.1268753135
## [45,] 0.2582180768 -0.0426767559 -1.132296e-01 0.1022532639 -0.0436430789
## [46,] 0.3773317635 -0.4099228882 6.112855e-02 -0.1638481544 0.0315084953
## [47,] 0.1342565409 0.0717443366 1.917410e-01 0.0754665502 -0.1670607979
## [48,] -0.0787229144 0.0699699317 -1.751332e-01 0.0339290587 0.1451632870
## [49,] -0.0133521503 0.0849026685 3.118708e-01 -0.0416129342 0.0848382565
## [50,] -0.1320383548 -0.2447116610 -1.020497e-01 -0.0408257688 0.1336454037
## [51,] 0.0627384666 0.0519012423 1.971663e-02 -0.0571482290 -0.0566535809
## [52,] -0.0995524008 0.0506136205 -1.033791e-01 -0.0174916710 0.0681517454
## [53,] -0.0226944882 -0.0777153343 -5.233978e-03 0.0142555107 0.0315474360
## [54,] 0.0598975865 0.2370488144 -1.119402e-01 -0.2379359159 0.0182763438
## [55,] -0.2251934371 -0.1844281082 -2.365515e-01 -0.0305737020 0.1680200050
## [56,] -0.0017325648 0.0488467944 6.633714e-02 0.0877541039 0.0644744746
## [57,] 0.1634300567 -0.0268306860 2.159026e-02 0.0340839741 -0.0399774989
## [58,] -0.0745584302 0.2344677947 -2.199298e-01 0.0578311893 -0.0745571265
## [59,] 0.0461711930 -0.0421999111 7.051093e-02 0.0089610843 -0.0368382481
## [60,] 0.2243181689 0.0357424595 1.926741e-01 0.0159167480 -0.1321624635
## [61,] -0.1276285922 -0.2168390477 3.310787e-02 0.0320732181 -0.1802871265
## [62,] 0.1228232989 0.0935845279 8.347651e-02 0.1223396053 0.0212412139
## [63,] -0.1224776291 0.0173214607 6.316631e-02 -0.2338617546 -0.2075594763
## [64,] -0.0043481885 0.2195472743 7.874096e-02 -0.1788528772 -0.0661238760
## [65,] 0.1426873130 0.2035075522 -1.279958e-02 0.1170282052 -0.0664023204
## [66,] 0.0574284597 0.1462134084 -8.278082e-02 0.0568954322 -0.1247534684
## [67,] -0.0525687765 0.0699194106 3.490344e-02 0.0562117068 0.0225352088
## [68,] 0.0458313220 0.0615712021 2.847847e-02 0.0293938347 -0.0018518567
## [69,] -0.0179672286 0.1239548335 -5.671419e-01 -0.1119284311 0.2249337178
## [70,] 0.0321781929 0.0892493026 9.990179e-02 0.0548699108 -0.0126058236
## [71,] 0.0571423282 -0.0830178567 -2.073762e-01 0.1006802771 0.0339903355
## [72,] -0.3361399692 -1.1424568904 2.420656e-01 -0.3463345316 -0.2252647249
## [73,] 0.1239360454 0.4460762715 -1.913596e-02 0.0131668390 -0.1545557510
## [74,] 0.0737021390 0.2859701894 -2.018351e-01 0.0772917781 0.1152392295
## [75,] -0.1092980597 -0.0138453481 -1.008081e-01 0.0156875207 0.0693816650
## [76,] 0.1221939976 -0.0225916039 -2.905887e-02 -0.0714540887 -0.0684432765
## [77,] -0.3405424686 -0.2764202951 -1.959324e-01 0.1177716340 -0.0839922418
## [78,] 0.4881849266 0.4593568598 -1.759304e-01 -0.1091187680 0.0415840412
## [79,] -0.3315363350 0.0917692151 7.817362e-02 0.1330530067 0.1694977343
## [80,] 0.0368236653 0.0528781014 -1.414879e-02 0.0039337198 0.0950812029
## [81,] -0.1542842180 -0.1093752122 -3.339722e-02 -0.1138734011 0.0679308746
## [82,] 0.1350984499 -0.1334625335 -1.924447e-01 -0.2517763795 -0.2235888446
## [83,] -0.0864821708 0.2665122626 -4.632589e-02 0.2608106914 -0.2015897382
## [84,] -0.1196533997 -0.2956341346 2.224689e-01 0.5212444111 0.1096453749
## [85,] -0.1733274117 -0.0378600041 1.204891e-01 -0.0638102799 0.0384329228
## [86,] -0.1874953206 0.1106660926 1.144139e-01 -0.0347490130 0.0772104119
## [87,] 0.0851120925 -0.0788800422 1.654986e-01 0.0521952944 0.2042659546
## [88,] 0.1811405538 -0.1483353830 6.109776e-02 -0.3054586360 0.3391317681
## [89,] -0.0855485818 0.0340156879 -7.278041e-02 -0.0125030575 0.0958176014
## [90,] -0.1599179864 0.1334391692 -2.361823e-01 0.1056798233 0.0502431449
## [91,] 0.0751970527 0.0804334005 -6.635577e-02 -0.1062624672 -0.0187054096
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## [477,] 0.0077541911 -0.1691781741 -2.393995e-01 0.0235301019 -0.0142543889
## [478,] -0.1274779565 0.1059211446 -1.420760e-02 0.1274986616 -0.0504357570
## [479,] -0.1752435869 0.0647906068 -1.963559e-02 0.0512455781 0.1507897689
## [480,] 0.0741405793 -0.0683683718 3.014739e-01 0.1056563632 0.0291503627
## [481,] -0.2908519435 -0.0150945457 -3.992097e-02 -0.0606607864 -0.1823717944
## [482,] -0.1718005261 0.0776043939 -1.207006e-01 -0.0681632290 0.1262100777
## [483,] 0.1601295941 0.0931232896 -2.046626e-01 0.0663637286 0.1799645400
## [484,] -0.0492504351 -0.1541041794 -1.239617e-02 -0.1114961587 0.0304119543
## [485,] 0.1618240979 -0.1260922761 -4.885764e-03 -0.0695939217 0.0167158472
## [486,] -0.4459029701 -0.0955926343 2.079300e-01 0.4035059614 0.0203477558
## [487,] -0.1411106697 -0.0359464998 1.001449e-01 -0.0894683013 -0.0941013165
## [488,] -0.2558123584 0.0883016437 1.159603e-01 -0.1818387487 -0.0790781079
## [489,] -0.0136545293 -0.0515281909 -1.936755e-02 0.0442112419 0.1645016909
## [490,] 0.2669916390 -0.2670016650 2.284507e-01 0.0042597084 -0.0555873751
## [491,] -0.0535814976 0.0775740576 5.386731e-02 0.0309546385 -0.0198687085
## [492,] -0.1135163594 0.0475542839 -1.739836e-01 -0.1444633296 -0.0339643106
## [493,] -0.0602203735 0.0189780745 -1.063966e-01 -0.0105156590 0.0800763820
## [494,] -0.0687773666 -0.1016273418 3.828534e-02 -0.0499980530 -0.1182422028
## [495,] -0.1582220042 0.1122348479 -7.618847e-02 -0.0213837212 -0.0990125083
## [496,] -0.0283047989 0.0780852815 4.581743e-02 -0.0558049130 0.0260473433
## [497,] 0.3363330523 -0.0354564885 -7.149409e-02 0.0352965454 0.0652322179
## [498,] 0.1034776270 -0.1754064399 -6.651803e-02 0.0641182475 -0.0794539356
## [499,] -0.0481731383 0.1476443912 -2.255443e-01 -0.2411787219 -0.1401067009
## [500,] -0.3277170244 -0.0214895498 3.656111e-03 -0.0532268599 -0.0078440385
## [501,] 0.0437030758 0.0874188865 -1.731452e-01 -0.2215054214 0.0636572848
## [502,] 0.1413515432 0.3248988272 1.369943e-01 -0.1227243079 0.1005775264
## [503,] 0.0631491852 -0.1003537623 9.887905e-02 -0.1298086318 0.0183798448
## [504,] 0.0312549171 -0.1818324231 9.877624e-03 0.2570654313 -0.1507681423
## [505,] -0.1123521419 -0.2210885176 4.119637e-01 -0.1621171978 -0.0747037425
## [506,] 0.0311085932 -0.0043112438 -1.554371e-01 -0.1615159870 0.1462901120
## [507,] 0.0117125024 -0.3190203960 1.446060e-01 -0.2152535411 0.1095516050
## [508,] -0.0780488273 -0.0636343159 3.972090e-03 0.1126306367 0.0411398608
## [509,] 0.0986046838 -0.0827229223 -1.284032e-01 -0.0343611021 0.0523426687
## [510,] -0.1798850375 -0.1992963775 6.385868e-02 -0.0463180154 0.0313154612
## [511,] 0.0150364127 -0.0385701112 7.653051e-02 -0.1113571741 0.0360291268
## [512,] -0.0399284189 -0.0539012945 7.707678e-02 0.0558295772 0.0042648705
## [513,] -0.2665292246 -0.1931822640 -1.711874e-01 0.0110864948 0.1055062492
## [514,] 0.0088321206 0.0921322424 -1.336851e-02 -0.0527803820 0.0566613849
## [515,] -0.2238695921 -0.1543697584 -1.442546e-01 -0.1354297203 -0.0721716862
## [516,] 0.1858416020 -0.0891651817 5.090259e-02 -0.0673758027 0.0224514622
## [517,] 0.1810812819 0.0867360333 1.384049e-01 -0.1324629140 -0.0090377647
## [518,] -0.0396300818 0.0422971304 1.048030e-02 0.0496241700 -0.0785177188
## [519,] 0.0597489899 0.0732309633 -2.120701e-01 -0.0717921176 0.0189229270
## [520,] 0.0274380655 -0.0214256895 -8.224662e-02 -0.0195345168 0.1063930278
## [521,] -0.0741127018 -0.0905924637 1.342385e-01 -0.0470197036 -0.1108311481
## [522,] 0.0627752410 -0.0421343311 -1.723356e-01 0.0155013766 -0.0518260244
## [523,] -0.0824384780 0.0250013489 1.149064e-01 0.0039590058 -0.0546444196
## [524,] 0.0249831764 -0.1507464018 -1.414050e-01 -0.1099078444 -0.0255135349
## [525,] -0.0373629133 0.2096402441 -8.633648e-02 0.1116312807 -0.1001301363
## [526,] 0.0838390278 0.1079865972 3.450158e-02 0.1719735169 0.0591756828
## [527,] 0.3318483108 -0.2947450685 -1.906989e-01 0.0550575235 0.1471686399
## [528,] -0.0007428400 -0.0794869253 -9.811836e-02 0.0489272789 -0.0264873014
## [529,] 0.3705852161 -0.0223391489 5.075365e-01 0.0399525672 -0.1697663841
## [530,] 0.1250829277 -0.0366604171 4.389193e-02 -0.0069134401 0.0520789685
## [531,] -0.2510653323 0.0340772274 -8.753856e-02 -0.0982485755 -0.1114855027
## [532,] 0.0047666490 -0.0781373344 7.655868e-02 -0.0380683743 -0.1246895793
## [533,] 0.1415752357 -0.1501413208 -1.183314e-01 0.0132847088 0.1539406806
## [534,] 0.1023467340 0.1517558697 -1.320795e-01 -0.2665377512 -0.1282250448
## [535,] -0.0025279486 0.1124682587 -1.477884e-01 0.0405273999 0.0306409909
## [536,] 0.0791481775 -0.0502756205 -2.639892e-01 -0.0744509737 0.0008455486
## [537,] -0.2740650665 -0.0002925086 1.707404e-01 0.1095625155 0.0994614805
## [538,] 0.2606428739 -0.1601463771 -1.178442e-01 0.0390099169 0.0633318332
## [539,] -0.0413794118 -0.0604094030 -2.811241e-02 0.1403114024 -0.0330961759
## [540,] 0.1154812600 0.2581934783 -7.793227e-02 -0.0711976819 0.0410671686
## [541,] 0.1535435455 0.0239799396 -8.839128e-02 -0.1178975803 0.0735661058
## [542,] -0.0679373594 -0.1118336346 1.683499e-01 0.1715550493 0.0572524009
## [543,] 0.0110374761 -0.1705246655 -5.717170e-02 -0.0128147660 0.1232452688
## [544,] -0.0656376005 0.0115407705 -1.397186e-01 -0.0441481701 -0.0402201549
## [545,] 0.0641597728 -0.0257372276 -1.306238e-01 -0.0130286164 0.0536290674
## [546,] 0.1105362335 0.0476875761 -8.635963e-02 -0.0603229788 0.0296765078
## [547,] -0.0262990959 0.0723866365 1.742109e-01 0.0600842055 -0.0903222486
## [548,] 0.0494065172 0.0747923167 1.121067e-01 0.0931615209 -0.0064837083
## [549,] 0.0420616613 0.1434447978 2.151116e-01 0.0669104550 -0.0548411936
## [550,] 0.0732487201 0.0198345047 -9.193927e-02 -0.0172044830 -0.0976366593
## [551,] -0.0119356005 0.0136962943 -1.528663e-01 0.0443186800 0.0072493585
## [552,] -0.0388647303 -0.0294327168 -1.437595e-03 0.0211029594 -0.0051501501
## [553,] 0.0994771923 -0.0523366815 -3.192496e-03 -0.0208073885 -0.0508996216
## [554,] 0.1162426476 0.0972882879 7.659123e-02 0.1633788667 -0.1343697535
## [555,] 0.0389261142 0.0150285734 -2.689412e-02 0.0451796495 0.0452185715
## [556,] 0.3942051539 0.1442763873 7.512395e-02 0.1142014279 0.1297250296
## [557,] 0.2658959188 -0.0852756994 -1.773711e-02 0.0573839788 0.0860394792
## [558,] 0.2548848500 -0.1344057649 -2.695888e-01 0.1253596547 0.1409818413
## [559,] 0.0974032157 -0.0506046046 4.281686e-03 0.0074148594 0.1833745030
## [560,] 0.0104818333 -0.0097405680 3.344908e-02 -0.0084439272 0.0371458564
## [561,] 0.0720893347 0.0359652007 4.155828e-02 0.0841586957 0.0655886608
## [562,] 0.6438555162 -0.1160958384 -1.348357e-01 0.0778267477 0.2155456879
## [563,] -0.3366411323 -0.5256708725 4.037840e-01 -0.2315981974 -0.0744296594
## [564,] -0.2819119524 -0.0637883885 3.027516e-01 0.3971743169 0.1344740836
## [565,] 0.0068818177 0.0669407679 8.851262e-02 -0.1078034921 -0.2193267810
## [566,] -0.0097931016 -0.0195459671 -5.535634e-02 -0.0860588433 -0.0011958031
## [567,] -0.0365600992 -0.0632967943 -2.001358e-01 0.0447797442 -0.0024266219
## [568,] 0.1405238587 0.0424409640 1.686715e-01 0.1957966922 -0.3774982893
## [569,] 0.2744382324 0.2430237050 3.788121e-02 0.0750448656 0.0174926193
## PC26 PC27 PC28 PC29 PC30
## [1,] -0.2013263051 -2.523629e-01 -3.388464e-02 4.560759e-02 4.712774e-02
## [2,] -0.0410926274 1.811108e-01 3.259550e-02 -5.682424e-03 1.866234e-03
## [3,] 0.0047312486 4.952586e-02 4.698448e-02 3.143131e-03 -7.498749e-04
## [4,] -0.2749828222 1.833008e-01 4.244698e-02 -6.923387e-02 1.991989e-02
## [5,] 0.0392197801 3.213957e-02 -3.475564e-02 5.033481e-03 -2.119512e-02
## [6,] -0.0302723330 -8.438081e-02 7.296587e-04 -1.970400e-02 -3.456433e-03
## [7,] -0.0267249755 2.074464e-02 -4.673321e-02 -1.296846e-02 -5.468279e-03
## [8,] -0.0594137473 6.662113e-02 2.615274e-02 -2.859407e-03 -1.696347e-03
## [9,] -0.0549994685 3.829073e-02 3.712728e-02 1.169858e-02 -5.276735e-03
## [10,] 0.3108206873 -2.849340e-03 1.356126e-01 3.775496e-02 -3.823914e-03
## [11,] -0.0011132902 -1.675329e-02 -1.787033e-02 -8.472303e-04 8.589286e-03
## [12,] -0.0988438257 -5.025511e-02 1.672603e-02 -8.893782e-03 -2.264877e-02
## [13,] 0.1544995990 -1.601695e-01 2.189479e-01 -4.168578e-02 -3.128057e-02
## [14,] 0.0185216253 -6.094451e-03 -2.104929e-02 1.333681e-02 -5.901062e-03
## [15,] -0.1817110172 1.686671e-01 -1.248878e-02 5.471581e-02 2.767104e-03
## [16,] -0.0132177128 -1.545333e-01 -8.311679e-02 3.490813e-02 -4.127870e-03
## [17,] -0.0741980103 1.496604e-02 1.660988e-03 -2.340097e-02 -1.378581e-02
## [18,] 0.0998664510 -7.732604e-02 6.074890e-02 -9.698796e-03 -1.266565e-02
## [19,] 0.0289918326 -5.273101e-02 -1.596623e-03 4.840404e-02 5.987472e-03
## [20,] 0.0314450550 -5.423713e-02 9.789698e-03 7.673122e-03 1.840938e-03
## [21,] 0.0355362005 -9.840364e-02 -1.503860e-02 -1.881974e-02 -1.131431e-02
## [22,] -0.0038246508 4.633703e-02 -1.209599e-02 -6.511882e-03 -8.590024e-03
## [23,] -0.1164538409 -2.216492e-02 1.015524e-03 -1.634073e-02 1.872530e-02
## [24,] 0.0916050281 1.468242e-01 6.867301e-02 1.786932e-02 1.386952e-02
## [25,] -0.0874379704 -1.431175e-01 3.447092e-03 -2.255543e-02 -3.999663e-03
## [26,] -0.0677237649 -4.147013e-02 -2.951161e-02 -1.657229e-02 -3.178130e-03
## [27,] -0.0357830509 6.090625e-02 -2.388746e-02 5.642173e-03 -1.339863e-02
## [28,] -0.0483807591 7.474866e-02 -1.755439e-02 2.208178e-02 -8.553100e-03
## [29,] -0.0463898691 -2.400501e-01 -1.852092e-01 -1.492340e-02 9.578804e-04
## [30,] 0.0860853392 -1.294573e-01 1.125290e-02 3.714214e-02 2.014350e-03
## [31,] 0.1964367931 -2.131927e-01 -9.860072e-02 2.126908e-02 1.608133e-02
## [32,] 0.0582729648 -2.306134e-01 -1.768593e-01 -7.475334e-02 -1.128161e-03
## [33,] -0.1339382974 -1.253022e-01 1.125350e-01 -4.434909e-03 1.886774e-03
## [34,] -0.0291953182 4.075234e-02 1.254330e-02 1.420997e-02 -1.165588e-02
## [35,] 0.0209466264 -2.240063e-02 4.957060e-02 5.795811e-03 -3.132503e-02
## [36,] 0.0848362899 1.615390e-01 -1.339550e-02 3.934955e-02 3.490852e-03
## [37,] -0.0342079425 -6.060832e-02 -1.122619e-01 6.738025e-02 1.370542e-02
## [38,] -0.0875148451 -1.650241e-01 -3.219827e-02 -1.617018e-02 5.144779e-04
## [39,] 0.1758886282 1.604604e-01 5.386968e-02 1.842240e-01 1.989133e-02
## [40,] -0.1021726527 1.289034e-01 -7.427828e-02 2.945002e-02 2.146481e-03
## [41,] -0.0714635560 7.019861e-02 1.158537e-02 -2.247350e-02 -1.566702e-02
## [42,] 0.1507064526 -3.820128e-03 -4.882003e-02 2.547541e-03 2.308071e-03
## [43,] -0.0097682136 -2.479041e-02 -7.096251e-02 -1.155836e-02 1.589353e-02
## [44,] 0.0612412639 -1.019745e-01 -1.370845e-03 -7.961068e-02 -1.397809e-02
## [45,] -0.0171718343 -4.877762e-02 1.425226e-02 -7.139958e-02 -1.085998e-02
## [46,] 0.1332320422 1.573983e-02 5.422979e-02 -6.387622e-03 -7.213235e-03
## [47,] 0.1425991752 5.474195e-02 -1.825670e-02 -2.922901e-02 -2.649774e-03
## [48,] 0.0028553147 1.498919e-02 1.783116e-02 3.335616e-02 -1.785149e-03
## [49,] 0.1324480590 -2.199369e-03 3.816358e-03 -1.275649e-02 -8.411835e-04
## [50,] 0.0241950429 3.299221e-02 -8.502787e-03 -1.188563e-02 -2.865884e-03
## [51,] -0.0209776680 6.139058e-02 -9.541691e-03 1.959516e-02 4.711585e-04
## [52,] -0.0739111736 3.792347e-02 -1.418360e-02 2.929794e-02 7.270380e-03
## [53,] -0.0893671777 -1.803353e-02 4.758468e-03 -2.715377e-04 1.642671e-03
## [54,] -0.0606178187 -2.190753e-02 -4.764801e-02 3.402123e-02 1.303268e-02
## [55,] -0.1075797759 1.268873e-01 2.923216e-03 1.113450e-02 -4.343678e-03
## [56,] -0.0058355492 2.774052e-02 1.416855e-02 2.401521e-03 -1.940349e-03
## [57,] -0.0722065369 -8.119004e-02 7.271206e-02 1.327148e-02 4.135286e-03
## [58,] -0.1343191246 2.950093e-02 5.444365e-02 4.011741e-03 1.659040e-02
## [59,] -0.0691174690 8.049384e-04 2.627152e-02 4.565142e-03 6.788361e-03
## [60,] 0.0400160356 -1.686265e-02 -1.071847e-02 1.590382e-02 -6.883016e-03
## [61,] 0.0568714092 7.112930e-02 8.806180e-03 1.288489e-02 6.812673e-03
## [62,] 0.0788845808 2.201995e-01 -2.946023e-02 -1.562093e-02 5.269029e-03
## [63,] -0.0098332379 -1.134152e-03 9.638361e-02 2.795349e-03 -1.901582e-02
## [64,] 0.0335429502 5.289948e-02 -8.110426e-02 -1.615960e-02 -1.141707e-02
## [65,] -0.0290360085 -1.228215e-01 9.356070e-03 -8.243027e-02 -4.849783e-03
## [66,] 0.0465312637 -1.922755e-01 1.659535e-02 6.820462e-03 3.908128e-03
## [67,] 0.0604134233 9.187789e-02 -1.975320e-02 9.282008e-03 5.559412e-03
## [68,] 0.0761632336 -9.449785e-03 3.607516e-02 1.644550e-02 3.225830e-03
## [69,] 0.2804283970 -2.445271e-02 6.842730e-03 7.394054e-03 -1.258908e-02
## [70,] 0.0091579194 -5.251089e-02 1.240814e-02 1.391723e-02 6.642330e-03
## [71,] -0.0668453796 -1.379328e-02 -4.034711e-02 -4.567540e-02 -1.497659e-05
## [72,] 0.0533337084 1.533702e-01 2.941771e-02 -5.665631e-03 -1.872210e-03
## [73,] -0.0797672858 1.517182e-02 8.814363e-02 -3.560637e-02 -2.146240e-02
## [74,] -0.0717088123 -3.146387e-02 -4.010897e-02 -4.737433e-02 -9.918869e-03
## [75,] -0.0169312595 5.540068e-02 3.076006e-02 -2.228666e-02 -2.118429e-02
## [76,] -0.0026046375 -9.489266e-02 2.564001e-02 -5.653385e-04 -5.060816e-04
## [77,] 0.0207984498 -1.733530e-01 5.676664e-02 3.943605e-02 2.590542e-04
## [78,] 0.0028980342 -1.148445e-01 -4.691931e-03 5.128264e-02 2.095843e-02
## [79,] -0.0292208810 -4.654883e-02 5.126402e-02 3.512806e-02 -7.332746e-02
## [80,] 0.0603063922 7.898511e-02 1.797480e-02 7.861041e-03 -4.882806e-03
## [81,] -0.0093357855 -4.725720e-02 -2.313927e-02 -4.685092e-03 -5.544045e-03
## [82,] 0.1263341389 -1.278413e-01 7.181074e-02 -8.010741e-02 8.607098e-03
## [83,] 0.1532547175 2.065368e-01 -6.524724e-02 -2.149175e-02 6.506712e-03
## [84,] 0.0648110159 -2.543076e-01 1.221035e-01 1.212184e-04 -1.076054e-02
## [85,] 0.0007406985 4.610443e-02 -3.731944e-04 -1.674579e-02 -8.527853e-03
## [86,] -0.0331782104 -7.289186e-02 -4.793390e-02 -1.125719e-02 -1.093361e-02
## [87,] -0.0897923772 3.869966e-02 1.113252e-02 -1.599296e-02 9.423312e-03
## [88,] 0.0997869683 -2.630915e-02 5.753144e-02 -1.604379e-01 3.833652e-02
## [89,] 0.0314408018 -5.616749e-03 -1.563489e-02 1.027323e-02 6.715216e-03
## [90,] 0.0664403562 -1.205373e-02 2.007444e-02 2.728987e-02 7.404621e-03
## [91,] -0.0003730261 -1.122276e-02 2.580197e-03 9.258593e-03 -8.194443e-03
## [92,] 0.0128416323 -2.061422e-01 -2.391746e-03 2.073897e-02 -1.300581e-03
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## [441,] 0.0828997283 7.055109e-03 -5.337323e-02 2.224083e-02 4.878054e-03
## [442,] -0.0055805568 8.821182e-03 1.382174e-02 -1.344243e-02 3.396704e-03
## [443,] -0.0729310386 3.407189e-02 -2.967962e-03 -7.760464e-03 -3.493852e-03
## [444,] 0.0177492855 -5.387709e-02 1.884810e-02 -4.802070e-02 -4.338005e-03
## [445,] 0.1562735762 3.150221e-03 4.466151e-03 4.862201e-03 1.930884e-02
## [446,] -0.0623633484 -4.012043e-02 -1.520601e-02 1.022661e-02 -1.006945e-02
## [447,] 0.0582232781 1.452520e-02 -1.925162e-02 2.865248e-03 -4.811615e-03
## [448,] 0.0128754184 2.673470e-02 2.146354e-02 5.440063e-03 -9.104536e-03
## [449,] -0.0849870024 2.708387e-02 8.849902e-03 -3.431193e-03 -6.911163e-03
## [450,] 0.2010218414 1.676424e-02 3.159649e-02 1.192446e-02 2.280731e-03
## [451,] -0.0086274992 1.100940e-02 2.657891e-02 6.812446e-05 9.958902e-03
## [452,] 0.0165258410 -5.186637e-02 -1.065244e-02 -1.348643e-02 1.141856e-02
## [453,] -0.0161773464 -3.190370e-02 8.514373e-03 2.434763e-03 1.629148e-03
## [454,] 0.0605699069 -1.478972e-01 1.379131e-03 1.947479e-03 1.131662e-02
## [455,] -0.0199151804 -8.535688e-05 1.231284e-02 -1.013423e-02 -9.981321e-03
## [456,] 0.0205975979 -1.980424e-02 -5.463217e-03 1.221674e-02 -9.874192e-03
## [457,] -0.0050881069 -2.604470e-02 -1.829845e-02 -1.097754e-02 4.368456e-03
## [458,] 0.0445463619 -5.794359e-02 1.048050e-02 7.872980e-03 7.710774e-03
## [459,] -0.0215768139 -6.829240e-03 1.931505e-02 -2.563659e-03 6.043094e-03
## [460,] 0.0704026997 5.492546e-02 -6.642672e-03 -1.111266e-02 -3.440349e-03
## [461,] -0.1744566135 -1.098756e-01 -6.305821e-02 -6.416242e-03 1.134838e-02
## [462,] -0.1128547170 -1.591164e-01 -7.982505e-02 1.200865e-02 -1.593339e-02
## [463,] -0.0497515406 -5.652857e-02 1.302232e-02 1.237799e-02 5.580899e-03
## [464,] 0.0274856355 3.604310e-02 7.760035e-03 1.815681e-02 4.941571e-03
## [465,] -0.0846326223 -1.595831e-02 2.824337e-02 -9.513276e-03 9.314585e-05
## [466,] 0.0915955060 -8.619147e-02 -9.496820e-02 -7.123957e-04 1.251121e-02
## [467,] -0.0349996388 1.225956e-02 -2.365618e-02 1.362756e-02 9.798245e-04
## [468,] 0.0542473407 1.309476e-02 8.900566e-04 -2.664801e-04 2.499374e-03
## [469,] -0.1457441362 7.226593e-02 -5.951642e-02 1.311257e-02 -3.413340e-02
## [470,] 0.0957538784 -3.485376e-02 2.750362e-02 -1.043926e-02 -6.172565e-06
## [471,] 0.0909946383 1.398598e-01 8.858450e-03 7.244742e-04 -1.250954e-02
## [472,] 0.0730814567 6.023963e-02 1.322804e-02 5.220342e-03 -9.310005e-04
## [473,] 0.0226017652 -1.609558e-02 2.644659e-02 -2.709195e-02 -6.915033e-03
## [474,] -0.1242840374 -5.698309e-02 3.319390e-03 5.876624e-03 6.378471e-03
## [475,] 0.0182447696 4.114275e-02 -1.661732e-02 -7.879829e-03 4.976152e-04
## [476,] 0.1375631124 -1.253250e-01 6.518456e-04 -1.097810e-03 -4.923167e-03
## [477,] -0.0829225760 7.105777e-02 -4.770183e-02 -6.996362e-03 -9.172107e-04
## [478,] -0.0827292480 -3.235318e-02 -1.469619e-02 7.414257e-03 5.606623e-03
## [479,] 0.0448464007 4.121335e-02 -2.359053e-02 2.794497e-02 -3.572364e-03
## [480,] -0.0495987508 -2.268418e-02 2.227878e-02 8.961678e-03 -8.038788e-03
## [481,] -0.0128831723 -1.410240e-02 -2.422196e-02 2.001356e-02 -1.799201e-03
## [482,] -0.0381183878 2.857374e-02 1.498774e-03 -2.545113e-02 -5.760572e-03
## [483,] 0.0403505601 -2.930731e-02 4.188617e-02 1.191858e-02 3.348884e-03
## [484,] -0.0154989113 8.817212e-03 9.226792e-03 1.934553e-03 1.020699e-02
## [485,] -0.0136577142 -6.945356e-02 7.542745e-03 -1.162578e-02 1.376873e-02
## [486,] -0.0107779990 3.093484e-03 1.413849e-01 -6.100949e-03 1.202071e-03
## [487,] 0.0095431487 -7.376165e-03 2.000637e-02 -2.068873e-02 -5.432457e-03
## [488,] 0.0040869238 1.517483e-02 1.015079e-01 -1.262707e-02 3.374017e-03
## [489,] 0.0355692398 9.085520e-02 -4.393050e-03 4.668312e-03 -6.227434e-03
## [490,] 0.0086380352 1.069920e-02 -3.724756e-02 -2.337908e-02 9.673922e-03
## [491,] -0.0523983166 -2.155044e-02 -3.015589e-02 4.206849e-03 -4.615799e-03
## [492,] 0.0364243509 2.194271e-02 6.585056e-03 -5.260954e-03 1.175358e-02
## [493,] -0.0249186250 -9.840999e-02 -1.409311e-02 -4.124637e-03 -2.145734e-03
## [494,] -0.0546115161 -1.086523e-01 2.580461e-02 6.505626e-03 3.807495e-03
## [495,] -0.0900970424 -7.973081e-02 -1.382759e-02 2.391790e-02 2.493993e-03
## [496,] -0.0040977809 -6.976257e-02 -1.359450e-02 -7.869232e-03 4.008083e-03
## [497,] 0.0965211814 -5.682683e-02 6.498587e-03 1.456788e-02 2.151391e-03
## [498,] -0.0422754385 2.085169e-02 -1.607462e-03 3.798926e-03 -1.110263e-02
## [499,] -0.0967977019 -1.485310e-01 1.576602e-02 3.329348e-03 -9.341349e-03
## [500,] -0.0641045051 1.841422e-01 -7.024287e-02 1.970595e-02 -1.498247e-02
## [501,] 0.0854465362 -1.747535e-01 -3.607397e-02 1.867275e-03 -3.821167e-03
## [502,] -0.0963197757 9.104160e-02 -2.312398e-02 3.386630e-02 -1.529871e-02
## [503,] -0.0121822447 -1.090114e-02 8.724908e-03 4.694641e-03 -1.074887e-03
## [504,] -0.1180678238 2.658401e-01 -7.894180e-02 -2.561913e-02 7.697159e-03
## [505,] 0.1148367203 2.121193e-01 -3.514142e-02 -5.061458e-02 3.668640e-02
## [506,] 0.2752439895 -3.019773e-01 9.673065e-03 -1.996698e-02 4.151417e-02
## [507,] -0.0485533966 5.416690e-02 -1.649414e-02 -1.490646e-02 -2.155321e-03
## [508,] -0.0036376007 -1.802591e-01 -1.011343e-02 2.070820e-02 6.669538e-03
## [509,] -0.0647665350 4.842798e-03 1.594580e-02 9.613952e-03 -3.100001e-04
## [510,] -0.1754187549 1.359165e-01 4.067320e-02 5.041105e-02 2.144200e-04
## [511,] -0.0556837067 6.632740e-02 -6.746846e-03 1.531456e-02 -1.218153e-02
## [512,] -0.0984427406 1.808916e-02 1.255164e-02 9.930751e-03 9.221713e-03
## [513,] 0.0036057142 -8.355934e-02 -3.592810e-02 2.235170e-02 3.151072e-03
## [514,] -0.0112187011 2.530924e-02 4.763963e-03 -1.126705e-02 7.608210e-04
## [515,] -0.0091762716 -7.293476e-02 2.792662e-02 -3.556928e-03 -1.164186e-03
## [516,] 0.0038142602 3.300541e-02 8.325671e-03 -4.509973e-03 -1.285385e-03
## [517,] 0.0189855035 -9.752934e-02 -6.505096e-03 -2.312757e-03 -1.589520e-02
## [518,] 0.0550042618 -1.724436e-01 -9.894992e-02 -7.051032e-02 7.208234e-03
## [519,] 0.1580673727 -6.410352e-02 -8.250866e-03 -1.932592e-02 1.086353e-02
## [520,] 0.0544002611 1.580256e-02 -1.613705e-03 8.423291e-04 9.014139e-04
## [521,] 0.0074556575 9.663785e-02 -2.665164e-02 -3.072198e-02 -5.603826e-03
## [522,] 0.2131860543 1.741659e-01 -1.264691e-01 1.220225e-02 -8.726745e-03
## [523,] -0.0681589606 -9.361363e-03 -8.419239e-03 1.344440e-02 2.051314e-03
## [524,] -0.1061345671 4.966193e-03 -6.582652e-03 4.193781e-02 7.898565e-03
## [525,] 0.0664531179 -2.655619e-02 -2.136312e-02 -9.637608e-03 2.497448e-03
## [526,] 0.0886147194 1.155966e-01 -5.229288e-02 1.076846e-02 1.449954e-03
## [527,] 0.0330021360 8.336065e-02 -5.061548e-03 3.298927e-02 5.387830e-04
## [528,] 0.0181336410 4.282084e-02 3.040698e-02 1.508284e-02 -7.330015e-03
## [529,] -0.0934720894 -5.020254e-02 4.171083e-02 -7.809330e-03 -9.193665e-05
## [530,] 0.0288790490 -5.652693e-02 -1.947227e-03 1.611639e-03 -4.255828e-03
## [531,] 0.0424242869 9.025177e-03 -1.623234e-02 6.269355e-03 -8.871060e-04
## [532,] 0.0931826121 -3.654002e-02 4.324270e-03 4.165806e-03 -1.106227e-03
## [533,] -0.0830740552 1.658681e-02 1.150422e-02 -1.563064e-02 -6.663151e-03
## [534,] 0.1480707171 8.699232e-03 -5.961362e-02 -1.044751e-02 -6.141284e-03
## [535,] 0.0728753384 1.259825e-02 -9.518713e-03 9.373100e-03 -3.095154e-03
## [536,] 0.1536070303 -3.265112e-02 2.996697e-02 8.171708e-03 -3.458037e-02
## [537,] -0.0487762627 5.821042e-02 1.015633e-02 2.035367e-02 9.738559e-03
## [538,] 0.0329233687 -1.804282e-02 -2.169062e-02 -2.378939e-02 8.893677e-03
## [539,] 0.1468627182 7.253893e-02 -8.746899e-03 -1.161071e-02 9.286171e-03
## [540,] 0.1812441331 7.132198e-03 1.665571e-03 -5.739799e-02 3.679201e-02
## [541,] -0.0295036155 -8.523727e-03 -8.796157e-03 -2.463757e-03 9.112497e-05
## [542,] -0.0987152511 2.575798e-03 -1.994940e-02 8.161193e-03 -1.262046e-02
## [543,] -0.0565374950 1.610918e-02 -1.295072e-02 -2.390649e-02 4.092165e-03
## [544,] 0.0568923371 -7.840121e-02 -1.162042e-02 3.505356e-03 -6.121733e-03
## [545,] -0.0542291424 -8.247547e-02 -8.960736e-03 1.302883e-02 4.772981e-03
## [546,] -0.0678745818 -1.961314e-02 -6.487119e-03 -4.750888e-03 -3.114620e-03
## [547,] 0.0125381679 4.498783e-02 5.470187e-03 -7.783998e-03 -4.507372e-03
## [548,] 0.0313546289 -4.161718e-02 -2.705643e-03 9.706143e-03 3.657914e-03
## [549,] 0.1006525985 5.511332e-02 -8.274135e-04 -2.590615e-02 8.789459e-04
## [550,] -0.0007909619 3.418774e-02 6.937288e-05 -2.145122e-02 -4.134624e-03
## [551,] -0.0163685109 -1.107701e-02 2.770954e-02 1.795767e-02 8.260042e-03
## [552,] -0.0014215153 5.637368e-02 -3.381745e-03 3.849594e-03 -1.779362e-03
## [553,] -0.1022492547 -9.323360e-03 5.913651e-04 1.263059e-02 -7.162542e-03
## [554,] 0.0044220903 4.297202e-03 -9.650436e-03 -1.615592e-02 -1.435061e-03
## [555,] 0.0024994349 -7.130661e-02 4.473723e-02 1.560585e-02 1.385123e-03
## [556,] 0.0938320141 3.896512e-02 -1.164274e-02 -1.431460e-03 6.878081e-03
## [557,] 0.0152530115 -3.226473e-03 2.268760e-03 -1.799952e-02 -4.947889e-05
## [558,] 0.1510723322 1.702667e-01 3.413466e-02 3.102528e-02 8.728220e-03
## [559,] 0.0407493494 3.978350e-02 -1.130892e-02 4.068695e-03 -6.920526e-03
## [560,] 0.0599659983 -3.787753e-02 2.037519e-02 -3.413149e-04 1.269775e-02
## [561,] 0.0968312180 -1.392626e-02 2.900866e-02 1.731854e-03 4.328273e-03
## [562,] 0.0041827618 2.209661e-02 7.486086e-03 -3.107530e-04 5.831723e-03
## [563,] 0.2037854413 -1.474368e-01 -1.245986e-01 9.015380e-03 -7.118296e-03
## [564,] -0.0729289516 1.450989e-01 -3.945551e-02 7.014761e-02 7.638391e-03
## [565,] -0.1227922446 1.590577e-01 9.843968e-03 7.112909e-03 1.413613e-03
## [566,] 0.0658312978 -6.845211e-02 -2.355466e-02 -2.746212e-02 1.041027e-02
## [567,] 0.0070890278 -2.367063e-02 -2.575490e-03 6.700316e-03 -3.767102e-03
## [568,] -0.1980178555 -2.738532e-02 -6.802653e-02 -8.408929e-02 2.376191e-02
## [569,] 0.3468098821 1.272691e-01 -9.507513e-03 -6.085956e-02 1.945846e-02We can find the cumulative value for each Principle Componenet
pve = 100 * (pr.out$sdev^2) / sum(pr.out$sdev^2)
par(mfrow=c(1,2))
plot(pve,
xlab = "Principal Component",
ylab = "PVE",
type = "o", col = "blue")
plot(cumsum(pve),
xlab = "Principal Component",
ylab = "Cumulative PVE",
type = "o", col = "red")
Based on the data, the cumulative value of pve in the 11th data does not have a significant increase, therefore we can take up to the 10th pc data.
x <- pr.out$x
new_features <- data.frame(pr.out$x)
new_features <- new_features[1:10]
PCA_bcw_df <- new_features
PCA_bcw_df$diagnosis <- bcw_df$diagnosisDivide into train and test
set.seed(2021)
m = nrow(bcw_df)
train_ind_PCA <- sample(m, 0.7 * m)
train_df_PCA <- bcw_df[train_ind_PCA, ]
test_df_PCA <- bcw_df[-train_ind_PCA, ]
train_ind_PCA## [1] 166 430 442 70 192 325 495 103 361 535 332 146 123 188 387 360 538 164
## [19] 101 342 354 403 373 73 191 294 274 566 550 79 150 400 335 529 357 148
## [37] 452 456 467 67 554 121 511 369 155 504 395 526 126 463 482 362 510 300
## [55] 120 27 568 149 371 89 95 173 75 393 23 235 470 420 94 302 432 263
## [73] 285 385 147 365 113 502 382 201 115 493 329 138 515 321 557 293 427 413
## [91] 336 197 187 563 559 58 157 7 320 172 57 247 139 530 500 20 151 45
## [109] 1 143 547 215 525 109 484 527 388 449 13 198 501 85 465 39 384 141
## [127] 165 112 531 214 158 392 178 548 71 257 344 130 53 341 213 43 421 125
## [145] 77 374 69 48 397 203 184 497 227 211 185 564 275 528 491 278 270 159
## [163] 108 410 480 481 93 415 154 295 542 68 167 412 569 37 41 339 49 450
## [181] 229 179 396 250 84 168 391 280 299 152 419 406 545 233 38 520 441 455
## [199] 565 524 469 24 200 503 479 240 28 50 327 31 351 210 29 15 337 220
## [217] 567 90 483 328 182 234 286 60 9 490 422 394 144 439 61 44 262 457
## [235] 256 254 544 377 317 98 309 133 208 97 66 379 417 296 96 319 276 246
## [253] 209 177 269 34 546 87 562 279 8 468 405 245 142 316 243 54 352 92
## [271] 346 330 364 175 399 322 350 129 196 199 517 498 282 225 366 76 137 287
## [289] 242 174 153 435 334 106 217 52 407 11 533 518 428 259 17 297 267 390
## [307] 323 301 464 35 216 118 436 65 207 443 496 56 347 555 438 437 171 205
## [325] 265 560 348 232 539 429 345 472 313 212 272 338 42 506 307 507 553 132
## [343] 226 81 134 25 355 401 416 358 3 190 253 236 249 104 119 514 476 367
## [361] 461 271 80 425 82 556 105 381 110 218 289 116 170 22 494 492 460 363
## [379] 124 127 283 156 6 264 14 10 440 478 424 349 477 445 258 534 224 304
## [397] 448 4863.5 Training and Test Division
Use set.seed() for reproducible result. Ratio train:test = 70:30.
set.seed(2021)
m = nrow(bcw_df)
train_ind <- sample(m, 0.7 * m)
train_df <- bcw_df2[train_ind, ]
test_df <- bcw_df2[-train_ind, ]Divide train and test data into PCA
PCA_train_df <- PCA_bcw_df[train_ind, ]
PCA_test_df <- PCA_bcw_df[-train_ind, ]4. Modelling
we use 4 Machine Learning algorithms.
4.1 Modelling without PCA
4.1.1 Logistic Regression
fit.logit <- glm(diagnosis~. ,
data = train_df,
family = binomial)## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurredsummary(fit.logit)##
## Call:
## glm(formula = diagnosis ~ ., family = binomial, data = train_df)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -2.29130 -0.06276 -0.01079 0.00266 2.41194
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -38.2941 10.8434 -3.532 0.000413 ***
## radius_mean 0.9770 0.3246 3.009 0.002618 **
## texture_mean 0.5801 0.1110 5.226 1.73e-07 ***
## smoothness_mean -0.2969 51.6663 -0.006 0.995414
## concave.points_mean 134.7234 38.6187 3.489 0.000486 ***
## symmetry_mean 42.5947 20.3845 2.090 0.036657 *
## fractal_dimension_mean 22.7464 105.3806 0.216 0.829105
## radius_se 5.0455 2.9014 1.739 0.082037 .
## texture_se -1.5634 0.9470 -1.651 0.098737 .
## smoothness_se 72.5956 159.1434 0.456 0.648272
## concave.points_se -160.9316 122.3363 -1.315 0.188347
## symmetry_se -27.4352 60.9517 -0.450 0.652628
## fractal_dimension_se -351.4736 288.8728 -1.217 0.223716
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 516.229 on 397 degrees of freedom
## Residual deviance: 75.269 on 385 degrees of freedom
## AIC: 101.27
##
## Number of Fisher Scoring iterations: 94.1.2 Decision Tree
library(party)## Loading required package: grid## Loading required package: mvtnorm## Loading required package: modeltools## Loading required package: stats4## Loading required package: strucchange## Loading required package: zoo##
## Attaching package: 'zoo'## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric## Loading required package: sandwichfit.ctree <- ctree(diagnosis~. , data = train_df)
plot(fit.ctree, main = "Conditional Inference Tree")
4.1.3 Random Forest
library(randomForest)## randomForest 4.6-14## Type rfNews() to see new features/changes/bug fixes.##
## Attaching package: 'randomForest'## The following object is masked from 'package:gridExtra':
##
## combine## The following object is masked from 'package:ggplot2':
##
## marginset.seed(2021)
fit.forest <- randomForest(formula = diagnosis ~ ., data = train_df,
na.action = na.roughfix,
importance = TRUE)
fit.forest##
## Call:
## randomForest(formula = diagnosis ~ ., data = train_df, importance = TRUE, na.action = na.roughfix)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 3
##
## OOB estimate of error rate: 5.28%
## Confusion matrix:
## B M class.error
## B 249 9 0.03488372
## M 12 128 0.085714294.1.4 Support Vector Machine (SVM)
library(e1071)
set.seed(2021)
fit.svm <- svm(diagnosis~., data=train_df)
fit.svm##
## Call:
## svm(formula = diagnosis ~ ., data = train_df)
##
##
## Parameters:
## SVM-Type: C-classification
## SVM-Kernel: radial
## cost: 1
##
## Number of Support Vectors: 1194.2 Modelling with PCA
4.2.1 Logistic Regression
PCA_fit.logit <- glm(diagnosis~.,
data = PCA_train_df,
family = binomial)## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurredsummary(PCA_fit.logit)##
## Call:
## glm(formula = diagnosis ~ ., family = binomial, data = PCA_train_df)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -2.12796 -0.00016 0.00000 0.00000 2.01785
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -3.12682 1.69063 -1.849 0.06439 .
## PC1 -7.94011 2.97481 -2.669 0.00761 **
## PC2 4.99803 1.99155 2.510 0.01209 *
## PC3 -2.71777 1.22352 -2.221 0.02633 *
## PC4 -2.67321 1.20002 -2.228 0.02590 *
## PC5 2.76192 1.09697 2.518 0.01181 *
## PC6 0.05238 0.42531 0.123 0.90198
## PC7 -2.32447 1.68517 -1.379 0.16778
## PC8 -2.45275 1.34029 -1.830 0.06725 .
## PC9 5.66907 2.52441 2.246 0.02472 *
## PC10 0.34542 1.45719 0.237 0.81262
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 516.229 on 397 degrees of freedom
## Residual deviance: 20.676 on 387 degrees of freedom
## AIC: 42.676
##
## Number of Fisher Scoring iterations: 124.2.2 Decision Tree
library(party)
PCA_fit.ctree <- ctree(diagnosis~. , data = PCA_train_df)
plot(PCA_fit.ctree, main = "Conditional Inference Tree (PCA)")
4.2.3 Random FOrest
set.seed(2021)
PCA_fit.forest <- randomForest(formula = diagnosis ~ ., data = PCA_train_df,
na.action = na.roughfix,
importance = TRUE)
PCA_fit.forest##
## Call:
## randomForest(formula = diagnosis ~ ., data = PCA_train_df, importance = TRUE, na.action = na.roughfix)
## Type of random forest: classification
## Number of trees: 500
## No. of variables tried at each split: 3
##
## OOB estimate of error rate: 5.53%
## Confusion matrix:
## B M class.error
## B 246 12 0.04651163
## M 10 130 0.071428574.2.4 Support Vector Machine
set.seed(2021)
PCA_fit.svm <- svm(diagnosis~., data=PCA_train_df)
PCA_fit.svm##
## Call:
## svm(formula = diagnosis ~ ., data = PCA_train_df)
##
##
## Parameters:
## SVM-Type: C-classification
## SVM-Kernel: radial
## cost: 1
##
## Number of Support Vectors: 1475. Evaluation
5.1 Evaluation without PCA
We compute accuracy, precision, recall, and F1 score.
performance <- function(table, n=2){
tp = table[2,2]
tn = table[1,1]
fp = table[1,2]
fn = table[2,1]
sensitivity = tp/(tp+fn) # recall
specificity = tn/(tn+fp)
ppp = tp/(tp+fp) # precision
npp = tn/(tn+fn)
hitrate = (tp+tn)/(tp+tn+fp+fn) # accuracy
result <- paste("Sensitivity = ", round(sensitivity, n),
"\nSpecificity = ", round(specificity, n),
"\nPositive Predictive Value = ", round(ppp,n), "\nNegative Predictive Value = ",round(npp, n),
"nAccuracy = ", round(hitrate, n))
cat(result)
}prob <- predict(fit.logit, test_df, type = "response")
logit.pred <- factor(prob > 0.5, levels = c(FALSE, TRUE),
labels = c("benign", "malignant"))
logit.perf <- table(test_df$diagnosis, logit.pred,
dnn = c("Actual", "predicted"))
logit.perf## predicted
## Actual benign malignant
## B 95 4
## M 7 65performance(logit.perf)## Sensitivity = 0.9
## Specificity = 0.96
## Positive Predictive Value = 0.94
## Negative Predictive Value = 0.93 nAccuracy = 0.94fit.ctree <- ctree(formula = diagnosis ~ . , data = train_df)
ctree.pred <- predict(fit.ctree, test_df, type = "response")
ctree.perf <- table(test_df$diagnosis, ctree.pred,
dnn = c("Actual", "predicted"))
ctree.perf## predicted
## Actual B M
## B 92 7
## M 7 65performance(ctree.perf)## Sensitivity = 0.9
## Specificity = 0.93
## Positive Predictive Value = 0.9
## Negative Predictive Value = 0.93 nAccuracy = 0.92forest.pred <- predict(fit.forest, test_df, type = "response")
forest.perf <- table(test_df$diagnosis, forest.pred,
dnn=c("Actual","Predicted"))
forest.perf## Predicted
## Actual B M
## B 97 2
## M 7 65performance (forest.perf)## Sensitivity = 0.9
## Specificity = 0.98
## Positive Predictive Value = 0.97
## Negative Predictive Value = 0.93 nAccuracy = 0.95svm.pred <- predict(fit.svm, test_df, type = "response")
svm.perf <- table(test_df$diagnosis, svm.pred,
dnn = c("Actual", "Predicted"))
svm.perf## Predicted
## Actual B M
## B 96 3
## M 8 64performance(svm.perf)## Sensitivity = 0.89
## Specificity = 0.97
## Positive Predictive Value = 0.96
## Negative Predictive Value = 0.92 nAccuracy = 0.945.2 Evaluation with PCA
We compute accuracy, precision, recall, and F1 score.
PCA_prob <- predict(PCA_fit.logit, PCA_test_df, type = "response")
PCA_logit.pred <- factor(PCA_prob > 0.5, levels = c(FALSE, TRUE),
labels = c("benign", "malignant"))
PCA_logit.perf <- table(PCA_test_df$diagnosis, PCA_logit.pred,
dnn = c("Actual", "predicted"))
PCA_logit.perf## predicted
## Actual benign malignant
## B 96 3
## M 4 68performance(PCA_logit.perf)## Sensitivity = 0.94
## Specificity = 0.97
## Positive Predictive Value = 0.96
## Negative Predictive Value = 0.96 nAccuracy = 0.96PCA_fit.ctree <- ctree(formula = diagnosis ~ . , data = PCA_train_df)
PCA_ctree.pred <- predict(PCA_fit.ctree, PCA_test_df, type = "response")
PCA_ctree.perf <- table(PCA_test_df$diagnosis, PCA_ctree.pred,
dnn = c("Actual", "predicted"))
PCA_ctree.perf## predicted
## Actual B M
## B 96 3
## M 6 66performance(PCA_ctree.perf)## Sensitivity = 0.92
## Specificity = 0.97
## Positive Predictive Value = 0.96
## Negative Predictive Value = 0.94 nAccuracy = 0.95PCA_forest.pred <- predict(PCA_fit.forest, PCA_test_df, type = "response")
PCA_forest.perf <- table(PCA_test_df$diagnosis, PCA_forest.pred,
dnn=c("Actual","Predicted"))
PCA_forest.perf## Predicted
## Actual B M
## B 99 0
## M 5 67performance (PCA_forest.perf)## Sensitivity = 0.93
## Specificity = 1
## Positive Predictive Value = 1
## Negative Predictive Value = 0.95 nAccuracy = 0.97PCA_svm.pred <- predict(PCA_fit.svm, PCA_test_df, type = "response")
PCA_svm.perf <- table(PCA_test_df$diagnosis, PCA_svm.pred,
dnn = c("Actual", "Predicted"))
PCA_svm.perf## Predicted
## Actual B M
## B 94 5
## M 7 65performance(PCA_svm.perf)## Sensitivity = 0.9
## Specificity = 0.95
## Positive Predictive Value = 0.93
## Negative Predictive Value = 0.93 nAccuracy = 0.936. Recommendation
- Random forest algorithm is the best among all the tested algorithms.
- Based on decision tree model, the most important variable are concave.point, radius_mean, and texture_mean.
- The result can be improved by better data preparation using other algorithms. However, the current result surpass human level performance (79% accuracy). So, it can be deployed as second opinion for the doctor.