PCA dan FA
atma
2026-02-25
Tugas PCA dan Fa
library(psych)
library(vctrs)
library(dplyr)##
## Attaching package: 'dplyr'## The following object is masked from 'package:vctrs':
##
## data_frame## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(tidyverse)## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats 1.0.1 ✔ readr 2.2.0
## ✔ ggplot2 4.0.2 ✔ stringr 1.6.0
## ✔ lubridate 1.9.5 ✔ tibble 3.3.1
## ✔ purrr 1.2.1 ✔ tidyr 1.3.2## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ ggplot2::%+%() masks psych::%+%()
## ✖ ggplot2::alpha() masks psych::alpha()
## ✖ tibble::data_frame() masks dplyr::data_frame(), vctrs::data_frame()
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errorslibrary(corrplot)## corrplot 0.95 loadedimpor data
data <- read.csv('WineQT.csv')
print(head(data))## fixed.acidity volatile.acidity citric.acid residual.sugar chlorides
## 1 7.4 0.70 0.00 1.9 0.076
## 2 7.8 0.88 0.00 2.6 0.098
## 3 7.8 0.76 0.04 2.3 0.092
## 4 11.2 0.28 0.56 1.9 0.075
## 5 7.4 0.70 0.00 1.9 0.076
## 6 7.4 0.66 0.00 1.8 0.075
## free.sulfur.dioxide total.sulfur.dioxide density pH sulphates alcohol
## 1 11 34 0.9978 3.51 0.56 9.4
## 2 25 67 0.9968 3.20 0.68 9.8
## 3 15 54 0.9970 3.26 0.65 9.8
## 4 17 60 0.9980 3.16 0.58 9.8
## 5 11 34 0.9978 3.51 0.56 9.4
## 6 13 40 0.9978 3.51 0.56 9.4
## quality Id
## 1 5 0
## 2 5 1
## 3 5 2
## 4 6 3
## 5 5 4
## 6 5 5info data
dim(data)## [1] 1143 13str(data)## 'data.frame': 1143 obs. of 13 variables:
## $ fixed.acidity : num 7.4 7.8 7.8 11.2 7.4 7.4 7.9 7.3 7.8 6.7 ...
## $ volatile.acidity : num 0.7 0.88 0.76 0.28 0.7 0.66 0.6 0.65 0.58 0.58 ...
## $ citric.acid : num 0 0 0.04 0.56 0 0 0.06 0 0.02 0.08 ...
## $ residual.sugar : num 1.9 2.6 2.3 1.9 1.9 1.8 1.6 1.2 2 1.8 ...
## $ chlorides : num 0.076 0.098 0.092 0.075 0.076 0.075 0.069 0.065 0.073 0.097 ...
## $ free.sulfur.dioxide : num 11 25 15 17 11 13 15 15 9 15 ...
## $ total.sulfur.dioxide: num 34 67 54 60 34 40 59 21 18 65 ...
## $ density : num 0.998 0.997 0.997 0.998 0.998 ...
## $ pH : num 3.51 3.2 3.26 3.16 3.51 3.51 3.3 3.39 3.36 3.28 ...
## $ sulphates : num 0.56 0.68 0.65 0.58 0.56 0.56 0.46 0.47 0.57 0.54 ...
## $ alcohol : num 9.4 9.8 9.8 9.8 9.4 9.4 9.4 10 9.5 9.2 ...
## $ quality : int 5 5 5 6 5 5 5 7 7 5 ...
## $ Id : int 0 1 2 3 4 5 6 7 8 10 ...Pre-processing
sum(is.na(data))## [1] 0hapus kolom yg tidak dipakai
data <- data[, !names(data) %in% "Id"]
dim(data)## [1] 1143 12hapus kolom dependen
data <- data[, !names(data) %in% "quality"]
dim(data)## [1] 1143 11statistika deskriptif
summary(data)## fixed.acidity volatile.acidity citric.acid residual.sugar
## Min. : 4.600 Min. :0.1200 Min. :0.0000 Min. : 0.900
## 1st Qu.: 7.100 1st Qu.:0.3925 1st Qu.:0.0900 1st Qu.: 1.900
## Median : 7.900 Median :0.5200 Median :0.2500 Median : 2.200
## Mean : 8.311 Mean :0.5313 Mean :0.2684 Mean : 2.532
## 3rd Qu.: 9.100 3rd Qu.:0.6400 3rd Qu.:0.4200 3rd Qu.: 2.600
## Max. :15.900 Max. :1.5800 Max. :1.0000 Max. :15.500
## chlorides free.sulfur.dioxide total.sulfur.dioxide density
## Min. :0.01200 Min. : 1.00 Min. : 6.00 Min. :0.9901
## 1st Qu.:0.07000 1st Qu.: 7.00 1st Qu.: 21.00 1st Qu.:0.9956
## Median :0.07900 Median :13.00 Median : 37.00 Median :0.9967
## Mean :0.08693 Mean :15.62 Mean : 45.91 Mean :0.9967
## 3rd Qu.:0.09000 3rd Qu.:21.00 3rd Qu.: 61.00 3rd Qu.:0.9978
## Max. :0.61100 Max. :68.00 Max. :289.00 Max. :1.0037
## pH sulphates alcohol
## Min. :2.740 Min. :0.3300 Min. : 8.40
## 1st Qu.:3.205 1st Qu.:0.5500 1st Qu.: 9.50
## Median :3.310 Median :0.6200 Median :10.20
## Mean :3.311 Mean :0.6577 Mean :10.44
## 3rd Qu.:3.400 3rd Qu.:0.7300 3rd Qu.:11.10
## Max. :4.010 Max. :2.0000 Max. :14.90boxplot
data_long <- data %>%
pivot_longer(cols = everything(),
names_to = "Variable",
values_to = "Value")
ggplot(data_long, aes(x = Variable, y = Value)) +
geom_boxplot(fill = "skyblue") +
theme_minimal() +
theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
ggtitle("Boxplot Semua Variabel")
###1. Correlation
cor(data)## fixed.acidity volatile.acidity citric.acid residual.sugar
## fixed.acidity 1.00000000 -0.250728322 0.67315725 0.171830535
## volatile.acidity -0.25072832 1.000000000 -0.54418694 -0.005751097
## citric.acid 0.67315725 -0.544186937 1.00000000 0.175814854
## residual.sugar 0.17183054 -0.005751097 0.17581485 1.000000000
## chlorides 0.10788857 0.056336259 0.24531249 0.070863112
## free.sulfur.dioxide -0.16483079 -0.001962479 -0.05758910 0.165338797
## total.sulfur.dioxide -0.11062837 0.077747722 0.03687111 0.190790035
## density 0.68150088 0.016511520 0.37524326 0.380146952
## pH -0.68516260 0.221491518 -0.54633914 -0.116958936
## sulphates 0.17459183 -0.276078597 0.33123176 0.017474504
## alcohol -0.07505485 -0.203909273 0.10625034 0.058420606
## chlorides free.sulfur.dioxide total.sulfur.dioxide
## fixed.acidity 0.10788857 -0.164830793 -0.11062837
## volatile.acidity 0.05633626 -0.001962479 0.07774772
## citric.acid 0.24531249 -0.057589104 0.03687111
## residual.sugar 0.07086311 0.165338797 0.19079003
## chlorides 1.00000000 0.015280458 0.04816316
## free.sulfur.dioxide 0.01528046 1.000000000 0.66109287
## total.sulfur.dioxide 0.04816316 0.661092872 1.00000000
## density 0.20890071 -0.054150318 0.05017483
## pH -0.27775907 0.072803706 -0.05912572
## sulphates 0.37478389 0.034445122 0.02689368
## alcohol -0.22991709 -0.047094832 -0.18816480
## density pH sulphates alcohol
## fixed.acidity 0.68150088 -0.68516260 0.17459183 -0.07505485
## volatile.acidity 0.01651152 0.22149152 -0.27607860 -0.20390927
## citric.acid 0.37524326 -0.54633914 0.33123176 0.10625034
## residual.sugar 0.38014695 -0.11695894 0.01747450 0.05842061
## chlorides 0.20890071 -0.27775907 0.37478389 -0.22991709
## free.sulfur.dioxide -0.05415032 0.07280371 0.03444512 -0.04709483
## total.sulfur.dioxide 0.05017483 -0.05912572 0.02689368 -0.18816480
## density 1.00000000 -0.35277462 0.14313929 -0.49472690
## pH -0.35277462 1.00000000 -0.18549903 0.22532220
## sulphates 0.14313929 -0.18549903 1.00000000 0.09442113
## alcohol -0.49472690 0.22532220 0.09442113 1.00000000corrplot::corrplot(cor(data), tl.col = "black", tl.srt = 45, tl.cex = 0.5)
korelasi > 3
mat_corr <- cor(data)
upper_corr <- mat_corr
upper_corr[lower.tri(upper_corr, diag = TRUE)] <- NA
corr_df <- as.data.frame(as.table(upper_corr))
corr_filtered <- subset(corr_df, abs(Freq) > 0.3)
corr_filtered## Var1 Var2 Freq
## 23 fixed.acidity citric.acid 0.6731573
## 24 volatile.acidity citric.acid -0.5441869
## 72 free.sulfur.dioxide total.sulfur.dioxide 0.6610929
## 78 fixed.acidity density 0.6815009
## 80 citric.acid density 0.3752433
## 81 residual.sugar density 0.3801470
## 89 fixed.acidity pH -0.6851626
## 91 citric.acid pH -0.5463391
## 96 density pH -0.3527746
## 102 citric.acid sulphates 0.3312318
## 104 chlorides sulphates 0.3747839
## 118 density alcohol -0.4947269###2. MSA/KMO Check MSA
r <- cor(data)
kmo_result <- KMO(r)
cat("Overall KMO =", kmo_result$MSA, "\n\n")## Overall KMO = 0.4389378kmo_var <- kmo_result$MSAi
sort(kmo_var, decreasing = TRUE)## citric.acid volatile.acidity sulphates
## 0.7027213 0.5154213 0.5127789
## free.sulfur.dioxide chlorides fixed.acidity
## 0.4999305 0.4725220 0.4634966
## total.sulfur.dioxide pH density
## 0.4598271 0.4541149 0.3742994
## residual.sugar alcohol
## 0.2324750 0.2238148drop kolom alcohol
data <- data[, !names(data) %in% "alcohol"]Check MSA setelah drop kolom alcohol
r <- cor(data)
kmo_result <- KMO(r)
cat("Overall KMO =", kmo_result$MSA, "\n\n")## Overall KMO = 0.5436039kmo_var <- kmo_result$MSAi
sort(kmo_var, decreasing = TRUE)## sulphates citric.acid pH
## 0.7076450 0.6520752 0.6205177
## residual.sugar fixed.acidity density
## 0.5766741 0.5390000 0.5261451
## volatile.acidity free.sulfur.dioxide total.sulfur.dioxide
## 0.5070720 0.4886145 0.4042916
## chlorides
## 0.3654371drop kolom chlorides
data <- data[, !names(data) %in% "chlorides"]Check MSA setelah drop kolom chlorides
r <- cor(data)
kmo_result <- KMO(r)
cat("Overall KMO =", kmo_result$MSA, "\n\n")## Overall KMO = 0.5984129kmo_var <- kmo_result$MSAi
sort(kmo_var, decreasing = TRUE)## citric.acid sulphates pH
## 0.7038650 0.6949794 0.6940072
## volatile.acidity fixed.acidity residual.sugar
## 0.6000649 0.5958730 0.5854737
## density free.sulfur.dioxide total.sulfur.dioxide
## 0.5537394 0.5005824 0.4319254drop kolom total.sulfur.dioxide
data <- data[, !names(data) %in% "total.sulfur.dioxide"]Check MSA setelah drop kolom total.sulfur.dioxide
r <- cor(data)
kmo_result <- KMO(r)
cat("Overall KMO =", kmo_result$MSA, "\n\n")## Overall KMO = 0.6532617kmo_var <- kmo_result$MSAi
sort(kmo_var, decreasing = TRUE)## citric.acid pH sulphates volatile.acidity
## 0.7432056 0.7393174 0.7084664 0.6258375
## fixed.acidity density free.sulfur.dioxide residual.sugar
## 0.6249322 0.5727424 0.5243602 0.5174570###3.Barlett Test
cortest.bartlett(cor(data), n = nrow(data))## $chisq
## [1] 3216.284
##
## $p.value
## [1] 0
##
## $df
## [1] 28##PCA ###manual scale data
scale_data = scale(data)
r = cov(scale_data)Menghitung eigenvalue dan eigenvector
pc <- eigen(r)
print('eigen values:')## [1] "eigen values:"pc$values## [1] 3.0266928 1.3357999 1.1651360 0.7928536 0.7328106 0.5068764 0.2948334
## [8] 0.1449973print('eigen vectors:')## [1] "eigen vectors:"pc$vectors## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.51237723 -0.133135101 -0.21175652 -0.07427453 0.167906513 0.17800785
## [2,] -0.26988024 -0.557715285 -0.23205830 0.33665797 0.396371719 -0.22040755
## [3,] 0.48639956 0.214697985 0.06999688 -0.16530169 -0.093389239 0.07218566
## [4,] 0.18106065 -0.512367536 0.43498798 -0.00811461 -0.573459678 -0.41240202
## [5,] -0.06256154 -0.107063657 0.77083311 -0.24129463 0.544318284 0.18219366
## [6,] 0.38758806 -0.469319026 -0.05385881 0.25053323 0.007632712 0.53941189
## [7,] -0.43486945 0.002913164 0.15020212 0.20869708 -0.415453465 0.63008615
## [8,] 0.22807204 0.361775522 0.29588661 0.83018657 0.090427188 -0.15257541
## [,7] [,8]
## [1,] 0.006530124 0.78068243
## [2,] 0.493046694 0.01198373
## [3,] 0.769119850 -0.28216727
## [4,] 0.003351579 0.12834912
## [5,] 0.014846062 0.05019280
## [6,] -0.269260004 -0.44757467
## [7,] 0.302074090 0.28966539
## [8,] -0.036546243 0.08689666Menghitung proporsi varians dan kumulatif
sumvar <- sum(pc$values)
propvar <- sapply(pc$values, function(x) x/sumvar)*100
cumvar <- data.frame(cbind(pc$values, propvar)) %>% mutate(cum = cumsum(propvar))
colnames(cumvar)[1] <- "eigen_value"
row.names(cumvar) <- paste0("PC",c(1:ncol(data)))
print(cumvar)## eigen_value propvar cum
## PC1 3.0266928 37.833660 37.83366
## PC2 1.3357999 16.697498 54.53116
## PC3 1.1651360 14.564201 69.09536
## PC4 0.7928536 9.910670 79.00603
## PC5 0.7328106 9.160133 88.16616
## PC6 0.5068764 6.335955 94.50212
## PC7 0.2948334 3.685417 98.18753
## PC8 0.1449973 1.812466 100.00000scree plot
pc <- eigen(r)
pc$values## [1] 3.0266928 1.3357999 1.1651360 0.7928536 0.7328106 0.5068764 0.2948334
## [8] 0.1449973# Scree Plot
plot(pc$values,
type = "b", # titik + garis
pch = 19, # bentuk titik
xlab = "Komponen",
ylab = "Eigenvalue",
main = "Scree Plot PCA")
# Garis batas Kaiser (eigenvalue = 1)
abline(h = 1, col = "red", lty = 2)
hasil PCA
print("eigen vectors (PC1, PC2, PC3):")## [1] "eigen vectors (PC1, PC2, PC3):"pc$vectors[,1:3]## [,1] [,2] [,3]
## [1,] 0.51237723 -0.133135101 -0.21175652
## [2,] -0.26988024 -0.557715285 -0.23205830
## [3,] 0.48639956 0.214697985 0.06999688
## [4,] 0.18106065 -0.512367536 0.43498798
## [5,] -0.06256154 -0.107063657 0.77083311
## [6,] 0.38758806 -0.469319026 -0.05385881
## [7,] -0.43486945 0.002913164 0.15020212
## [8,] 0.22807204 0.361775522 0.29588661print("PC result (3 komponen)")## [1] "PC result (3 komponen)"scores_3pc <- as.matrix(scale_data) %*% pc$vectors[,1:3]
scores_3pc## [,1] [,2] [,3]
## [1,] -1.708201189 -0.9246019363 -0.7616830018
## [2,] -1.033550267 -1.4318652246 0.1738136779
## [3,] -0.899805850 -0.9091591088 -0.5053318514
## [4,] 2.423744007 0.6257104468 -0.3354935042
## [5,] -1.708201189 -0.9246019363 -0.7616830018
## [6,] -1.673665259 -0.7835140929 -0.5916905745
## [7,] -1.160259895 -0.3900451853 -0.8029872902
## [8,] -2.211931268 0.0478151963 -0.7905413015
## [9,] -1.107199739 -0.3153362884 -0.8648015824
## [10,] -1.343949247 0.0010983627 -0.4267383272
## [11,] -3.131341863 0.3072224052 -0.0584366060
## [12,] 1.185478408 1.9911425645 0.6706188611
## [13,] 1.126372917 1.3128890212 1.7733744508
## [14,] 2.039975629 2.0636269563 0.7467631679
## [15,] -0.263785002 0.1782835537 0.9102729116
## [16,] 0.500040454 1.2579461613 -0.2548264803
## [17,] -0.030257922 -0.1928145813 -0.9567037125
## [18,] -0.937706888 0.2952723427 0.7215073184
## [19,] -1.227246408 1.0428233479 -0.4300256330
## [20,] -0.234534351 0.7829034889 -1.0080045305
## [21,] -1.852646674 -0.8398278006 -0.5515792976
## [22,] -1.357493678 -0.3881799759 -0.9659939793
## [23,] -1.657933349 -0.5267017790 -0.1402283818
## [24,] -0.214948723 -0.4168505548 -0.4595350261
## [25,] -1.264962206 1.2009120480 0.1198325565
## [26,] -0.537928248 -2.3003073032 -0.1806012276
## [27,] -0.735915802 -0.4407698987 -1.0807738845
## [28,] 0.488159621 0.8242825678 -0.0641829801
## [29,] 0.917412032 -0.6998816197 1.3562033327
## [30,] 0.249695678 -0.8891577717 -0.2892809191
## [31,] 0.329481707 0.6649867061 -0.1016298979
## [32,] 0.391646619 0.8926148711 0.1672675093
## [33,] -3.811188550 1.0470012446 0.1990857019
## [34,] -0.148824545 -0.8848184945 0.0431504356
## [35,] 0.520628606 0.0715532003 -1.3906854451
## [36,] -1.558943899 0.3397507801 -0.4696976967
## [37,] -1.509033836 0.5059472057 -0.6157662280
## [38,] 0.745020712 -0.0543759181 1.1412707480
## [39,] -0.432862022 -0.0530511344 1.3159579580
## [40,] 2.443407898 0.1704510943 -0.8910563650
## [41,] -0.761914693 -0.4955433247 -0.0406824262
## [42,] -0.497509363 0.5615763933 -0.3146062103
## [43,] 0.475059175 0.2596663406 0.3626310694
## [44,] 0.370429869 0.1189309859 0.0347999310
## [45,] -1.648388630 -0.6953413154 -0.6222681925
## [46,] -1.542907080 -1.8711675624 -0.7424344051
## [47,] -1.542907080 -1.8711675624 -0.7424344051
## [48,] -1.887764501 -0.2059530943 -1.1061545347
## [49,] -0.726093159 0.3150005291 -0.4896627046
## [50,] -0.998077061 -0.5084938654 -0.4635275744
## [51,] -0.262349239 -0.7259653492 -0.9199975952
## [52,] 0.984573231 0.4930906274 -0.2030549782
## [53,] -2.246109412 -1.0915607980 -0.3869888400
## [54,] -1.779904799 -0.5435093796 -0.7296100169
## [55,] 0.612147683 0.7707506369 1.0258279716
## [56,] -1.306162533 0.8439664099 -0.9599005324
## [57,] -0.024416245 0.2806306723 0.3439613183
## [58,] -0.192572071 1.8187188450 0.9215434078
## [59,] -1.291795211 0.0223000054 0.2476803930
## [60,] 2.946261357 2.9342319801 2.0150011666
## [61,] -0.450991460 0.4694096381 -0.5271789082
## [62,] 2.199477170 1.4519874669 2.1502169379
## [63,] -1.459370419 -0.5535527797 -0.9199321421
## [64,] -0.368817682 -0.1501731564 1.5699719657
## [65,] 2.946261357 2.9342319801 2.0150011666
## [66,] -0.450991460 0.4694096381 -0.5271789082
## [67,] -4.622190475 -1.0062371020 1.4286529529
## [68,] -1.926788115 -1.1802611792 -0.6797346645
## [69,] -1.573298119 -1.3934077638 -1.3659218786
## [70,] -0.334896364 -0.1150346072 -0.5642665521
## [71,] -0.289055269 -0.2114538598 -0.5853986278
## [72,] -0.334896364 -0.1150346072 -0.5642665521
## [73,] -0.428226676 -0.2777822267 -0.7343385476
## [74,] -0.750980451 0.2195479983 -0.9968364266
## [75,] -0.428226676 -0.2777822267 -0.7343385476
## [76,] 2.553739062 2.3962712277 1.1727724829
## [77,] -0.973925571 0.4631340070 0.1977336976
## [78,] 0.171436160 0.8352442593 -0.1437069069
## [79,] -0.180926745 -0.2205967167 -0.7835728137
## [80,] 1.619705143 0.2810254179 0.5079514547
## [81,] 0.171436160 0.8352442593 -0.1437069069
## [82,] 1.196817042 0.4915833721 -0.5262326648
## [83,] -0.111493263 -0.0868403337 -0.5926226182
## [84,] -1.817277802 -1.4740817253 -1.4740900167
## [85,] -0.387565377 -0.1971627341 -0.5748723444
## [86,] -1.558816569 -1.1786822931 -1.2464478417
## [87,] -1.107519986 0.1271059016 -0.0391332257
## [88,] -2.829120275 -2.5893388487 -2.4014473239
## [89,] -2.886228595 -2.6405533439 -2.3650264264
## [90,] -0.526345644 0.8199252789 -0.6854254195
## [91,] 0.364340094 -0.2838942620 0.7104078858
## [92,] -2.760990245 0.8683009796 0.6776518753
## [93,] -1.511859788 -1.6613951930 -1.2393051969
## [94,] -0.266588059 -0.2096571168 -0.3447974165
## [95,] -0.377689066 0.6253452095 0.0682633279
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## [760,] 2.164038330 -0.9510130024 0.3868557967
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## [798,] 1.365295466 -0.3009288566 0.8381010249
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## [800,] -0.529506385 2.2408719203 0.8497823275
## [801,] -0.420434484 -1.0136050381 0.7523802550
## [802,] 0.423084676 1.8078088055 -0.4851531622
## [803,] -0.116557847 1.7195323734 0.6973572238
## [804,] 1.659105666 0.3452103012 -1.0055047628
## [805,] 0.324159557 -0.7153334309 1.2635756452
## [806,] -0.065092177 -0.0179835511 -0.1392745873
## [807,] -0.489048379 0.5963388126 1.4205671758
## [808,] 0.539509147 0.9863269305 1.1558444180
## [809,] -1.264202533 1.0987708244 -0.4804584277
## [810,] -0.553329046 1.7263514095 0.9351176465
## [811,] -0.775085577 0.7060413808 1.8375058189
## [812,] 0.360638280 1.3950307783 2.1203102138
## [813,] -0.285574197 0.9795912076 -0.5490132864
## [814,] 1.789345405 -1.2677654166 0.0741746584
## [815,] -0.105426106 1.2782766025 -0.2488708712
## [816,] 1.117180132 0.8767303004 -1.0845849284
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## [819,] 0.806075934 0.6132338892 -0.0772253490
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## [821,] 0.681144485 1.9097173162 2.7132909945
## [822,] -2.189265244 1.8829236386 0.9081145715
## [823,] 0.802369622 1.6233816180 -0.0485467049
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## [825,] 0.465300434 1.4644159120 1.7482359869
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## [827,] -0.493894282 0.7107866016 -0.7474164813
## [828,] 0.947947157 1.0443161843 -1.0415930243
## [829,] 1.231067334 0.9557946475 -0.7828802542
## [830,] -0.400139386 0.6555530694 0.9016214405
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## [832,] -2.594010309 -0.1946672490 2.7481089641
## [833,] -2.440874933 -2.5246143878 1.2360167925
## [834,] -3.687024655 -0.1710838706 0.2736412574
## [835,] 0.571427224 1.2399781221 0.1260191861
## [836,] 0.674187349 0.9995434274 -1.4263423800
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## [843,] -0.488727262 2.0059975117 0.6897779945
## [844,] -1.175523762 -0.3804602646 -0.6321523898
## [845,] -1.454898971 0.6220718490 0.6509015262
## [846,] -0.619840819 0.6456999081 -1.4902838244
## [847,] 0.411837377 1.7209604726 0.6263541375
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## [849,] -0.619840819 0.6456999081 -1.4902838244
## [850,] -0.181255515 1.4438217822 -0.8441146023
## [851,] 0.132520155 1.2856795516 -0.6684585404
## [852,] 1.032027878 -3.0023730122 1.4573544613
## [853,] 0.027111646 1.6504063175 1.3741698882
## [854,] 0.027111646 1.6504063175 1.3741698882
## [855,] 1.145183709 0.2350793361 0.5330028549
## [856,] 0.027111646 1.6504063175 1.3741698882
## [857,] -0.663098948 2.0447466142 0.7741536416
## [858,] -1.757853719 0.0658446434 -0.7490258657
## [859,] -1.757853719 0.0658446434 -0.7490258657
## [860,] 1.561674673 0.7582874970 -1.3247473273
## [861,] -0.002914968 0.2749914830 -0.5434957663
## [862,] 0.664116311 1.7368404321 0.7036973086
## [863,] 1.951746607 1.0850260065 0.0663063577
## [864,] 1.951746607 1.0850260065 0.0663063577
## [865,] 3.443545943 0.1837218877 -0.8595753154
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## [871,] 0.143156432 1.9143098935 0.8866909409
## [872,] -1.750282381 -1.4395714119 2.0758308111
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## [891,] 2.212585997 1.4866299283 0.5845144731
## [892,] -3.460779850 -1.1183077598 -0.4032084156
## [893,] 1.167867843 -0.2159900111 1.0324669155
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## [897,] 2.045307975 1.1482522955 -0.1241660428
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## [908,] 1.019415069 1.4650397620 -1.3161596826
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## [914,] 2.019296303 0.4191105023 -0.3001978905
## [915,] 1.028086813 -0.3681494469 1.8540279676
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## [918,] -0.608348593 -0.1508953397 0.5366212226
## [919,] -2.319509860 1.3128964904 0.6597697008
## [920,] -1.494934712 -1.6690992041 2.7774948998
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## [969,] 2.002976720 0.4999757167 -1.6182910227
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## [972,] 0.620567475 1.2908297184 0.4009074615
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## [974,] 1.697186053 1.0181878536 -0.2158266930
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## [987,] -2.910842886 0.8958278947 0.3641009856
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## [993,] -0.762272712 -0.0034732857 -0.2667895601
## [994,] -1.654569695 -0.0447707745 -0.4245582062
## [995,] -0.802175159 -0.7286938549 0.6926061102
## [996,] 0.274215662 1.6913565669 -0.0372989277
## [997,] 0.764837292 2.3388461394 -0.0881991649
## [998,] 0.263331832 -0.2433603095 -0.1295559552
## [999,] 1.736947483 0.5348129687 1.0506119249
## [1000,] -2.135288499 0.8622130842 2.6479391955
## [1001,] 0.601624117 1.9575076651 2.3419391004
## [1002,] -2.135288499 0.8622130842 2.6479391955
## [1003,] -3.288584284 -0.8014604941 -1.5843591996
## [1004,] -0.794830741 0.8722483923 0.1188672398
## [1005,] 1.736947483 0.5348129687 1.0506119249
## [1006,] 1.303280077 0.5920312444 -0.5186768292
## [1007,] 2.650047795 0.7426051981 -0.8411709186
## [1008,] -1.907118054 0.5720358846 -0.2153852860
## [1009,] 2.650047795 0.7426051981 -0.8411709186
## [1010,] -0.159758821 1.3065144297 1.0614132918
## [1011,] -1.028079869 0.2443708592 -1.7156878663
## [1012,] -1.022862974 -0.5663016501 0.6700888965
## [1013,] -1.028079869 0.2443708592 -1.7156878663
## [1014,] -0.665512144 0.5295011853 0.4672774141
## [1015,] -1.464354947 0.3631881121 2.0959351027
## [1016,] -1.301006909 -0.5323059383 0.6877416857
## [1017,] -0.100268905 0.6967810075 -0.5852113661
## [1018,] -1.271719747 -0.4009372421 0.4451184425
## [1019,] 0.716570993 1.9140680839 2.6387429897
## [1020,] -0.709089594 0.8635565703 0.2241922503
## [1021,] -0.198285126 0.5808438003 -0.3306964605
## [1022,] -1.228636580 1.2595099315 0.0988716747
## [1023,] 4.185247044 -6.7943784569 6.7605682185
## [1024,] 1.726422814 0.0895924721 0.3524906217
## [1025,] -1.618132841 -1.9146616174 0.4088582983
## [1026,] -1.843382092 -0.1475853605 -1.4386655298
## [1027,] -1.467837296 -0.3513085143 0.9826239205
## [1028,] -1.836596007 0.7579290277 -0.8666710982
## [1029,] -0.191105834 -2.2397423848 0.4701125084
## [1030,] -1.518973912 -0.3279309657 0.4061689459
## [1031,] -0.105709926 1.5132756774 0.2841518737
## [1032,] -0.110136775 1.4964214285 0.2490955905
## [1033,] 0.890696959 1.0148153740 0.0912545955
## [1034,] -1.963946192 0.6328429574 1.7921403042
## [1035,] 2.947900245 -0.0624206573 -1.0562704880
## [1036,] -2.809140695 -0.4312294195 -0.9581072865
## [1037,] -0.460269657 0.1262731297 0.7655629167
## [1038,] 0.212033256 1.3299099331 -0.4966769048
## [1039,] 0.253167944 2.3801151919 -0.0920772244
## [1040,] -1.119666875 0.1172098925 1.7393129982
## [1041,] -2.519202699 -0.7299945828 -0.8419463319
## [1042,] -1.764158549 -0.3164018846 -0.3640061558
## [1043,] -1.616499217 0.1264029907 1.3052291515
## [1044,] -0.112313350 0.1448431667 1.1861663919
## [1045,] -2.501962320 -1.7310450810 -0.2938181802
## [1046,] -0.112313350 0.1448431667 1.1861663919
## [1047,] -1.671990996 -1.7434160875 -0.5406619079
## [1048,] 0.514283317 -0.4616138551 -2.1144415868
## [1049,] -2.179687510 -0.4507758502 -0.3018765996
## [1050,] 0.799338616 1.2001223267 1.3161535990
## [1051,] -2.332785764 0.6162525515 -0.2881342909
## [1052,] 4.080990376 -5.5609317552 5.8367964637
## [1053,] -2.555742207 2.0417980739 1.0530149539
## [1054,] 4.080990376 -5.5609317552 5.8367964637
## [1055,] -2.555742207 2.0417980739 1.0530149539
## [1056,] -1.070999489 -2.8980986927 -0.4988950362
## [1057,] 1.384487929 0.7036955747 0.2550658037
## [1058,] -2.968294283 0.5147000732 -0.6069776041
## [1059,] 1.384487929 0.7036955747 0.2550658037
## [1060,] 0.150000447 1.5379037439 -0.7162445246
## [1061,] -1.292274986 -0.2236375193 -0.8624870695
## [1062,] -1.352564797 0.0107320943 -0.6643594607
## [1063,] -2.197762837 0.6034501553 -0.1760790909
## [1064,] -3.167692951 0.8152153997 -0.5012191544
## [1065,] -0.403026979 2.2532340031 -0.1816117741
## [1066,] -2.909169797 0.5649763035 -0.8589142170
## [1067,] -0.365946051 0.1178835530 0.2562790322
## [1068,] -1.493154397 1.6859707558 0.2823529347
## [1069,] -1.195890872 1.1541329110 0.3047839315
## [1070,] -2.050273119 -0.2767038650 -0.7744464971
## [1071,] -2.050273119 -0.2767038650 -0.7744464971
## [1072,] -0.141067879 -1.7562006692 0.3109193860
## [1073,] -0.873317764 1.0498042783 -0.0364326808
## [1074,] 0.352160726 0.9976346757 -0.5926485789
## [1075,] -2.316702790 -0.3575264543 -0.9450755247
## [1076,] -2.186929616 -0.4076184695 -0.9225724527
## [1077,] 0.352160726 0.9976346757 -0.5926485789
## [1078,] 0.967209034 1.2043872079 0.7027295746
## [1079,] 0.300762355 2.3629674317 -0.2149300624
## [1080,] -0.870222637 0.9016151377 1.4572818844
## [1081,] -1.499706728 -0.5881494465 0.1105006624
## [1082,] -0.999081966 -1.7865751883 0.5542117394
## [1083,] -0.999081966 -1.7865751883 0.5542117394
## [1084,] -1.528444035 0.7917324947 1.3996264456
## [1085,] 0.192709645 0.6893620767 -0.5288117683
## [1086,] -1.680213437 -0.7506537826 -0.1863219893
## [1087,] -0.417393329 1.5778241585 1.6732072177
## [1088,] -1.009767000 0.5425001535 1.0462837334
## [1089,] -1.253411891 0.4727586025 0.2565001582
## [1090,] -1.097043326 0.4766356809 0.2777043050
## [1091,] 0.814671974 1.0180430655 0.7477319404
## [1092,] -1.788730022 -0.6801597198 1.7426992876
## [1093,] -1.529966553 1.0428237332 -0.1175410118
## [1094,] -2.157558043 -0.5156713303 0.1657111021
## [1095,] -0.642724939 0.4032932445 0.0655679658
## [1096,] -0.179642631 0.3578080031 1.2414417271
## [1097,] -1.772632493 0.5734443947 0.0017906180
## [1098,] -1.188999707 0.0824581796 -0.1146950378
## [1099,] -2.251703097 -0.0774469614 0.2333258969
## [1100,] -1.572815713 -0.6554602066 0.6537200348
## [1101,] 1.006783845 1.4167467971 0.0724890949
## [1102,] -1.072573770 0.4811842864 -0.0360757558
## [1103,] -1.533419767 0.0340065048 -0.0545156412
## [1104,] 2.228545815 0.1692985545 -0.3821567761
## [1105,] -0.295441659 1.6059138176 0.2886632767
## [1106,] -1.597018843 -1.0473769086 -0.1303401958
## [1107,] -2.120489066 -0.9820352478 1.7855660331
## [1108,] -1.491848187 -1.0924915394 -0.1943619498
## [1109,] -1.426491073 0.6618622256 -0.0195392459
## [1110,] -2.425750608 -1.1512200395 -0.6521390543
## [1111,] -2.421593342 -1.0952903810 -0.2556371496
## [1112,] 0.190813564 -2.7196775825 4.9026311679
## [1113,] -0.445332757 -0.3127812500 0.6347579558
## [1114,] -0.445332757 -0.3127812500 0.6347579558
## [1115,] -0.445332757 -0.3127812500 0.6347579558
## [1116,] -1.317811008 -0.2762450533 -0.7576314611
## [1117,] -1.317811008 -0.2762450533 -0.7576314611
## [1118,] -1.815246840 0.3462452341 0.9148422441
## [1119,] 0.524760775 2.3050964535 1.4677474889
## [1120,] -1.317811008 -0.2762450533 -0.7576314611
## [1121,] -1.211138869 0.0782370324 0.4018125395
## [1122,] -2.129246980 0.8246005577 0.0758298541
## [1123,] -0.190705618 2.4444491468 1.3165291502
## [1124,] -1.379549990 0.9810472080 0.3833290659
## [1125,] -0.902819034 -0.6493557459 1.0602781936
## [1126,] -2.078692434 0.5401391137 0.4410460498
## [1127,] -0.200366785 0.8506665712 -0.2426351495
## [1128,] 1.046883580 1.9516834377 0.4207096317
## [1129,] -1.621830277 -1.4288607467 0.7565103760
## [1130,] -1.579812969 0.2118576865 -0.3066580371
## [1131,] -0.441543027 1.1921269175 -0.1697167840
## [1132,] -2.871765924 -0.1555947299 -0.1427014426
## [1133,] -0.910501136 0.5501009495 1.4284497044
## [1134,] 0.068960290 1.6911887162 1.3972574832
## [1135,] 0.127553734 1.6116777622 2.1870812023
## [1136,] -2.401296621 0.4985860406 0.3770067336
## [1137,] -1.602135521 1.3543172245 1.1143638251
## [1138,] -3.394516906 0.1496803853 0.0320058076
## [1139,] -1.390838026 0.4557820038 1.4465054390
## [1140,] -1.331743607 0.1440817478 1.1225085427
## [1141,] -2.217327529 0.0558380100 1.2109886866
## [1142,] -2.105810727 0.4369003728 2.2831249848
## [1143,] -2.318308025 0.1219157588 1.5282818750###function in R - principal
pc <- principal(data, nfactors = 3, rotate = "none")
pc## Principal Components Analysis
## Call: principal(r = data, nfactors = 3, rotate = "none")
## Standardized loadings (pattern matrix) based upon correlation matrix
## PC1 PC2 PC3 h2 u2 com
## fixed.acidity 0.89 0.15 -0.23 0.87 0.13 1.2
## volatile.acidity -0.47 0.64 -0.25 0.70 0.30 2.2
## citric.acid 0.85 -0.25 0.08 0.78 0.22 1.2
## residual.sugar 0.31 0.59 0.47 0.67 0.33 2.5
## free.sulfur.dioxide -0.11 0.12 0.83 0.72 0.28 1.1
## density 0.67 0.54 -0.06 0.75 0.25 1.9
## pH -0.76 0.00 0.16 0.60 0.40 1.1
## sulphates 0.40 -0.42 0.32 0.43 0.57 2.9
##
## PC1 PC2 PC3
## SS loadings 3.03 1.34 1.17
## Proportion Var 0.38 0.17 0.15
## Cumulative Var 0.38 0.55 0.69
## Proportion Explained 0.55 0.24 0.21
## Cumulative Proportion 0.55 0.79 1.00
##
## Mean item complexity = 1.7
## Test of the hypothesis that 3 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.08
## with the empirical chi square 369.3 with prob < 9.1e-76
##
## Fit based upon off diagonal values = 0.94L <- as.matrix(pc$loadings) # loadings
lambda <- pc$values # eigenvalues
# ambil hanya nfactors yang dipakai
lambda_k <- lambda[1:ncol(L)]
# hitung eigenvector
V <- sweep(L, 2, sqrt(lambda_k), "/")
V##
## Loadings:
## PC1 PC2 PC3
## fixed.acidity 0.512 0.133 -0.212
## volatile.acidity -0.270 0.558 -0.232
## citric.acid 0.486 -0.215
## residual.sugar 0.181 0.512 0.435
## free.sulfur.dioxide 0.107 0.771
## density 0.388 0.469
## pH -0.435 0.150
## sulphates 0.228 -0.362 0.296
##
## PC1 PC2 PC3
## SS loadings 1.000 1.000 1.000
## Proportion Var 0.125 0.125 0.125
## Cumulative Var 0.125 0.250 0.375scores = scale_data %*% as.matrix(V)
scores## PC1 PC2 PC3
## [1,] -1.708201189 0.9246019363 -0.7616830018
## [2,] -1.033550267 1.4318652246 0.1738136779
## [3,] -0.899805850 0.9091591088 -0.5053318514
## [4,] 2.423744007 -0.6257104468 -0.3354935042
## [5,] -1.708201189 0.9246019363 -0.7616830018
## [6,] -1.673665259 0.7835140929 -0.5916905745
## [7,] -1.160259895 0.3900451853 -0.8029872902
## [8,] -2.211931268 -0.0478151963 -0.7905413015
## [9,] -1.107199739 0.3153362884 -0.8648015824
## [10,] -1.343949247 -0.0010983627 -0.4267383272
## [11,] -3.131341863 -0.3072224052 -0.0584366060
## [12,] 1.185478408 -1.9911425645 0.6706188611
## [13,] 1.126372917 -1.3128890212 1.7733744508
## [14,] 2.039975629 -2.0636269563 0.7467631679
## [15,] -0.263785002 -0.1782835537 0.9102729116
## [16,] 0.500040454 -1.2579461613 -0.2548264803
## [17,] -0.030257922 0.1928145813 -0.9567037125
## [18,] -0.937706888 -0.2952723427 0.7215073184
## [19,] -1.227246408 -1.0428233479 -0.4300256330
## [20,] -0.234534351 -0.7829034889 -1.0080045305
## [21,] -1.852646674 0.8398278006 -0.5515792976
## [22,] -1.357493678 0.3881799759 -0.9659939793
## [23,] -1.657933349 0.5267017790 -0.1402283818
## [24,] -0.214948723 0.4168505548 -0.4595350261
## [25,] -1.264962206 -1.2009120480 0.1198325565
## [26,] -0.537928248 2.3003073032 -0.1806012276
## [27,] -0.735915802 0.4407698987 -1.0807738845
## [28,] 0.488159621 -0.8242825678 -0.0641829801
## [29,] 0.917412032 0.6998816197 1.3562033327
## [30,] 0.249695678 0.8891577717 -0.2892809191
## [31,] 0.329481707 -0.6649867061 -0.1016298979
## [32,] 0.391646619 -0.8926148711 0.1672675093
## [33,] -3.811188550 -1.0470012446 0.1990857019
## [34,] -0.148824545 0.8848184945 0.0431504356
## [35,] 0.520628606 -0.0715532003 -1.3906854451
## [36,] -1.558943899 -0.3397507801 -0.4696976967
## [37,] -1.509033836 -0.5059472057 -0.6157662280
## [38,] 0.745020712 0.0543759181 1.1412707480
## [39,] -0.432862022 0.0530511344 1.3159579580
## [40,] 2.443407898 -0.1704510943 -0.8910563650
## [41,] -0.761914693 0.4955433247 -0.0406824262
## [42,] -0.497509363 -0.5615763933 -0.3146062103
## [43,] 0.475059175 -0.2596663406 0.3626310694
## [44,] 0.370429869 -0.1189309859 0.0347999310
## [45,] -1.648388630 0.6953413154 -0.6222681925
## [46,] -1.542907080 1.8711675624 -0.7424344051
## [47,] -1.542907080 1.8711675624 -0.7424344051
## [48,] -1.887764501 0.2059530943 -1.1061545347
## [49,] -0.726093159 -0.3150005291 -0.4896627046
## [50,] -0.998077061 0.5084938654 -0.4635275744
## [51,] -0.262349239 0.7259653492 -0.9199975952
## [52,] 0.984573231 -0.4930906274 -0.2030549782
## [53,] -2.246109412 1.0915607980 -0.3869888400
## [54,] -1.779904799 0.5435093796 -0.7296100169
## [55,] 0.612147683 -0.7707506369 1.0258279716
## [56,] -1.306162533 -0.8439664099 -0.9599005324
## [57,] -0.024416245 -0.2806306723 0.3439613183
## [58,] -0.192572071 -1.8187188450 0.9215434078
## [59,] -1.291795211 -0.0223000054 0.2476803930
## [60,] 2.946261357 -2.9342319801 2.0150011666
## [61,] -0.450991460 -0.4694096381 -0.5271789082
## [62,] 2.199477170 -1.4519874669 2.1502169379
## [63,] -1.459370419 0.5535527797 -0.9199321421
## [64,] -0.368817682 0.1501731564 1.5699719657
## [65,] 2.946261357 -2.9342319801 2.0150011666
## [66,] -0.450991460 -0.4694096381 -0.5271789082
## [67,] -4.622190475 1.0062371020 1.4286529529
## [68,] -1.926788115 1.1802611792 -0.6797346645
## [69,] -1.573298119 1.3934077638 -1.3659218786
## [70,] -0.334896364 0.1150346072 -0.5642665521
## [71,] -0.289055269 0.2114538598 -0.5853986278
## [72,] -0.334896364 0.1150346072 -0.5642665521
## [73,] -0.428226676 0.2777822267 -0.7343385476
## [74,] -0.750980451 -0.2195479983 -0.9968364266
## [75,] -0.428226676 0.2777822267 -0.7343385476
## [76,] 2.553739062 -2.3962712277 1.1727724829
## [77,] -0.973925571 -0.4631340070 0.1977336976
## [78,] 0.171436160 -0.8352442593 -0.1437069069
## [79,] -0.180926745 0.2205967167 -0.7835728137
## [80,] 1.619705143 -0.2810254179 0.5079514547
## [81,] 0.171436160 -0.8352442593 -0.1437069069
## [82,] 1.196817042 -0.4915833721 -0.5262326648
## [83,] -0.111493263 0.0868403337 -0.5926226182
## [84,] -1.817277802 1.4740817253 -1.4740900167
## [85,] -0.387565377 0.1971627341 -0.5748723444
## [86,] -1.558816569 1.1786822931 -1.2464478417
## [87,] -1.107519986 -0.1271059016 -0.0391332257
## [88,] -2.829120275 2.5893388487 -2.4014473239
## [89,] -2.886228595 2.6405533439 -2.3650264264
## [90,] -0.526345644 -0.8199252789 -0.6854254195
## [91,] 0.364340094 0.2838942620 0.7104078858
## [92,] -2.760990245 -0.8683009796 0.6776518753
## [93,] -1.511859788 1.6613951930 -1.2393051969
## [94,] -0.266588059 0.2096571168 -0.3447974165
## [95,] -0.377689066 -0.6253452095 0.0682633279
## [96,] -0.266588059 0.2096571168 -0.3447974165
## [97,] -3.335695578 -2.2343752875 1.8768995040
## [98,] -1.329562766 -0.9925340548 -0.9263248369
## [99,] -3.335695578 -2.2343752875 1.8768995040
## [100,] 0.583463909 0.1011129133 0.7412881704
## [101,] -2.993543657 0.0409127331 0.2394888980
## [102,] -1.350634160 -0.2170450149 -0.1891012182
## [103,] 0.100808817 -1.1524538391 -0.6600687696
## [104,] 6.062244467 -2.4066850897 3.3808975842
## [105,] -1.699637129 0.0602524822 0.2769836889
## [106,] -1.699637129 0.0602524822 0.2769836889
## [107,] 0.375027886 0.7042244866 2.3944031068
## [108,] 0.382309221 0.6934381081 2.4869671389
## [109,] 0.375027886 0.7042244866 2.3944031068
## [110,] -1.910390496 0.8719900799 -0.6358221538
## [111,] -1.741480111 0.1785350821 0.1527022430
## [112,] -1.435246933 1.2218424361 -1.6109757739
## [113,] -0.259933379 -0.8063302419 -0.4825040208
## [114,] -1.082152022 0.0327343652 -0.3226724163
## [115,] 0.028968298 2.8807000275 2.8054137890
## [116,] -0.012710565 2.7694227715 2.7259666533
## [117,] 0.282547635 -0.3663412281 -0.5425139211
## [118,] -1.587283183 0.2838782008 -0.1562175856
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## [1017,] -0.100268905 -0.6967810075 -0.5852113661
## [1018,] -1.271719747 0.4009372421 0.4451184425
## [1019,] 0.716570993 -1.9140680839 2.6387429897
## [1020,] -0.709089594 -0.8635565703 0.2241922503
## [1021,] -0.198285126 -0.5808438003 -0.3306964605
## [1022,] -1.228636580 -1.2595099315 0.0988716747
## [1023,] 4.185247044 6.7943784569 6.7605682185
## [1024,] 1.726422814 -0.0895924721 0.3524906217
## [1025,] -1.618132841 1.9146616174 0.4088582983
## [1026,] -1.843382092 0.1475853605 -1.4386655298
## [1027,] -1.467837296 0.3513085143 0.9826239205
## [1028,] -1.836596007 -0.7579290277 -0.8666710982
## [1029,] -0.191105834 2.2397423848 0.4701125084
## [1030,] -1.518973912 0.3279309657 0.4061689459
## [1031,] -0.105709926 -1.5132756774 0.2841518737
## [1032,] -0.110136775 -1.4964214285 0.2490955905
## [1033,] 0.890696959 -1.0148153740 0.0912545955
## [1034,] -1.963946192 -0.6328429574 1.7921403042
## [1035,] 2.947900245 0.0624206573 -1.0562704880
## [1036,] -2.809140695 0.4312294195 -0.9581072865
## [1037,] -0.460269657 -0.1262731297 0.7655629167
## [1038,] 0.212033256 -1.3299099331 -0.4966769048
## [1039,] 0.253167944 -2.3801151919 -0.0920772244
## [1040,] -1.119666875 -0.1172098925 1.7393129982
## [1041,] -2.519202699 0.7299945828 -0.8419463319
## [1042,] -1.764158549 0.3164018846 -0.3640061558
## [1043,] -1.616499217 -0.1264029907 1.3052291515
## [1044,] -0.112313350 -0.1448431667 1.1861663919
## [1045,] -2.501962320 1.7310450810 -0.2938181802
## [1046,] -0.112313350 -0.1448431667 1.1861663919
## [1047,] -1.671990996 1.7434160875 -0.5406619079
## [1048,] 0.514283317 0.4616138551 -2.1144415868
## [1049,] -2.179687510 0.4507758502 -0.3018765996
## [1050,] 0.799338616 -1.2001223267 1.3161535990
## [1051,] -2.332785764 -0.6162525515 -0.2881342909
## [1052,] 4.080990376 5.5609317552 5.8367964637
## [1053,] -2.555742207 -2.0417980739 1.0530149539
## [1054,] 4.080990376 5.5609317552 5.8367964637
## [1055,] -2.555742207 -2.0417980739 1.0530149539
## [1056,] -1.070999489 2.8980986927 -0.4988950362
## [1057,] 1.384487929 -0.7036955747 0.2550658037
## [1058,] -2.968294283 -0.5147000732 -0.6069776041
## [1059,] 1.384487929 -0.7036955747 0.2550658037
## [1060,] 0.150000447 -1.5379037439 -0.7162445246
## [1061,] -1.292274986 0.2236375193 -0.8624870695
## [1062,] -1.352564797 -0.0107320943 -0.6643594607
## [1063,] -2.197762837 -0.6034501553 -0.1760790909
## [1064,] -3.167692951 -0.8152153997 -0.5012191544
## [1065,] -0.403026979 -2.2532340031 -0.1816117741
## [1066,] -2.909169797 -0.5649763035 -0.8589142170
## [1067,] -0.365946051 -0.1178835530 0.2562790322
## [1068,] -1.493154397 -1.6859707558 0.2823529347
## [1069,] -1.195890872 -1.1541329110 0.3047839315
## [1070,] -2.050273119 0.2767038650 -0.7744464971
## [1071,] -2.050273119 0.2767038650 -0.7744464971
## [1072,] -0.141067879 1.7562006692 0.3109193860
## [1073,] -0.873317764 -1.0498042783 -0.0364326808
## [1074,] 0.352160726 -0.9976346757 -0.5926485789
## [1075,] -2.316702790 0.3575264543 -0.9450755247
## [1076,] -2.186929616 0.4076184695 -0.9225724527
## [1077,] 0.352160726 -0.9976346757 -0.5926485789
## [1078,] 0.967209034 -1.2043872079 0.7027295746
## [1079,] 0.300762355 -2.3629674317 -0.2149300624
## [1080,] -0.870222637 -0.9016151377 1.4572818844
## [1081,] -1.499706728 0.5881494465 0.1105006624
## [1082,] -0.999081966 1.7865751883 0.5542117394
## [1083,] -0.999081966 1.7865751883 0.5542117394
## [1084,] -1.528444035 -0.7917324947 1.3996264456
## [1085,] 0.192709645 -0.6893620767 -0.5288117683
## [1086,] -1.680213437 0.7506537826 -0.1863219893
## [1087,] -0.417393329 -1.5778241585 1.6732072177
## [1088,] -1.009767000 -0.5425001535 1.0462837334
## [1089,] -1.253411891 -0.4727586025 0.2565001582
## [1090,] -1.097043326 -0.4766356809 0.2777043050
## [1091,] 0.814671974 -1.0180430655 0.7477319404
## [1092,] -1.788730022 0.6801597198 1.7426992876
## [1093,] -1.529966553 -1.0428237332 -0.1175410118
## [1094,] -2.157558043 0.5156713303 0.1657111021
## [1095,] -0.642724939 -0.4032932445 0.0655679658
## [1096,] -0.179642631 -0.3578080031 1.2414417271
## [1097,] -1.772632493 -0.5734443947 0.0017906180
## [1098,] -1.188999707 -0.0824581796 -0.1146950378
## [1099,] -2.251703097 0.0774469614 0.2333258969
## [1100,] -1.572815713 0.6554602066 0.6537200348
## [1101,] 1.006783845 -1.4167467971 0.0724890949
## [1102,] -1.072573770 -0.4811842864 -0.0360757558
## [1103,] -1.533419767 -0.0340065048 -0.0545156412
## [1104,] 2.228545815 -0.1692985545 -0.3821567761
## [1105,] -0.295441659 -1.6059138176 0.2886632767
## [1106,] -1.597018843 1.0473769086 -0.1303401958
## [1107,] -2.120489066 0.9820352478 1.7855660331
## [1108,] -1.491848187 1.0924915394 -0.1943619498
## [1109,] -1.426491073 -0.6618622256 -0.0195392459
## [1110,] -2.425750608 1.1512200395 -0.6521390543
## [1111,] -2.421593342 1.0952903810 -0.2556371496
## [1112,] 0.190813564 2.7196775825 4.9026311679
## [1113,] -0.445332757 0.3127812500 0.6347579558
## [1114,] -0.445332757 0.3127812500 0.6347579558
## [1115,] -0.445332757 0.3127812500 0.6347579558
## [1116,] -1.317811008 0.2762450533 -0.7576314611
## [1117,] -1.317811008 0.2762450533 -0.7576314611
## [1118,] -1.815246840 -0.3462452341 0.9148422441
## [1119,] 0.524760775 -2.3050964535 1.4677474889
## [1120,] -1.317811008 0.2762450533 -0.7576314611
## [1121,] -1.211138869 -0.0782370324 0.4018125395
## [1122,] -2.129246980 -0.8246005577 0.0758298541
## [1123,] -0.190705618 -2.4444491468 1.3165291502
## [1124,] -1.379549990 -0.9810472080 0.3833290659
## [1125,] -0.902819034 0.6493557459 1.0602781936
## [1126,] -2.078692434 -0.5401391137 0.4410460498
## [1127,] -0.200366785 -0.8506665712 -0.2426351495
## [1128,] 1.046883580 -1.9516834377 0.4207096317
## [1129,] -1.621830277 1.4288607467 0.7565103760
## [1130,] -1.579812969 -0.2118576865 -0.3066580371
## [1131,] -0.441543027 -1.1921269175 -0.1697167840
## [1132,] -2.871765924 0.1555947299 -0.1427014426
## [1133,] -0.910501136 -0.5501009495 1.4284497044
## [1134,] 0.068960290 -1.6911887162 1.3972574832
## [1135,] 0.127553734 -1.6116777622 2.1870812023
## [1136,] -2.401296621 -0.4985860406 0.3770067336
## [1137,] -1.602135521 -1.3543172245 1.1143638251
## [1138,] -3.394516906 -0.1496803853 0.0320058076
## [1139,] -1.390838026 -0.4557820038 1.4465054390
## [1140,] -1.331743607 -0.1440817478 1.1225085427
## [1141,] -2.217327529 -0.0558380100 1.2109886866
## [1142,] -2.105810727 -0.4369003728 2.2831249848
## [1143,] -2.318308025 -0.1219157588 1.5282818750###function in R - FactoMineR
library('FactoMineR')
library('factoextra')## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa###using library FactoMineR https://rpubs.com/cahyaalkahfi/pca-with-r
pca_result <- PCA(scale_data,
scale.unit = FALSE,
graph = FALSE,
ncp=3) # ncp kita set agar menghasilkan output semua dimensi (default 5)menampilkan ringkasan hasil pca
pca_result$eig # vs print(cumvar)## eigenvalue percentage of variance cumulative percentage of variance
## comp 1 3.0240447 37.833660 37.83366
## comp 2 1.3346312 16.697498 54.53116
## comp 3 1.1641167 14.564201 69.09536
## comp 4 0.7921600 9.910670 79.00603
## comp 5 0.7321695 9.160133 88.16616
## comp 6 0.5064330 6.335955 94.50212
## comp 7 0.2945754 3.685417 98.18753
## comp 8 0.1448704 1.812466 100.00000pca_result$svd$V # vs pc$vectors## [,1] [,2] [,3]
## [1,] 0.51237723 0.133135101 -0.21175652
## [2,] -0.26988024 0.557715285 -0.23205830
## [3,] 0.48639956 -0.214697985 0.06999688
## [4,] 0.18106065 0.512367536 0.43498798
## [5,] -0.06256154 0.107063657 0.77083311
## [6,] 0.38758806 0.469319026 -0.05385881
## [7,] -0.43486945 -0.002913164 0.15020212
## [8,] 0.22807204 -0.361775522 0.29588661pca_result$ind['coord'] # vs head(scores)## $coord
## Dim.1 Dim.2 Dim.3
## 1 -1.708201189 0.9246019363 -0.7616830018
## 2 -1.033550267 1.4318652246 0.1738136779
## 3 -0.899805850 0.9091591088 -0.5053318514
## 4 2.423744007 -0.6257104468 -0.3354935042
## 5 -1.708201189 0.9246019363 -0.7616830018
## 6 -1.673665259 0.7835140929 -0.5916905745
## 7 -1.160259895 0.3900451853 -0.8029872902
## 8 -2.211931268 -0.0478151963 -0.7905413015
## 9 -1.107199739 0.3153362884 -0.8648015824
## 10 -1.343949247 -0.0010983627 -0.4267383272
## 11 -3.131341863 -0.3072224052 -0.0584366060
## 12 1.185478408 -1.9911425645 0.6706188611
## 13 1.126372917 -1.3128890212 1.7733744508
## 14 2.039975629 -2.0636269563 0.7467631679
## 15 -0.263785002 -0.1782835537 0.9102729116
## 16 0.500040454 -1.2579461613 -0.2548264803
## 17 -0.030257922 0.1928145813 -0.9567037125
## 18 -0.937706888 -0.2952723427 0.7215073184
## 19 -1.227246408 -1.0428233479 -0.4300256330
## 20 -0.234534351 -0.7829034889 -1.0080045305
## 21 -1.852646674 0.8398278006 -0.5515792976
## 22 -1.357493678 0.3881799759 -0.9659939793
## 23 -1.657933349 0.5267017790 -0.1402283818
## 24 -0.214948723 0.4168505548 -0.4595350261
## 25 -1.264962206 -1.2009120480 0.1198325565
## 26 -0.537928248 2.3003073032 -0.1806012276
## 27 -0.735915802 0.4407698987 -1.0807738845
## 28 0.488159621 -0.8242825678 -0.0641829801
## 29 0.917412032 0.6998816197 1.3562033327
## 30 0.249695678 0.8891577717 -0.2892809191
## 31 0.329481707 -0.6649867061 -0.1016298979
## 32 0.391646619 -0.8926148711 0.1672675093
## 33 -3.811188550 -1.0470012446 0.1990857019
## 34 -0.148824545 0.8848184945 0.0431504356
## 35 0.520628606 -0.0715532003 -1.3906854451
## 36 -1.558943899 -0.3397507801 -0.4696976967
## 37 -1.509033836 -0.5059472057 -0.6157662280
## 38 0.745020712 0.0543759181 1.1412707480
## 39 -0.432862022 0.0530511344 1.3159579580
## 40 2.443407898 -0.1704510943 -0.8910563650
## 41 -0.761914693 0.4955433247 -0.0406824262
## 42 -0.497509363 -0.5615763933 -0.3146062103
## 43 0.475059175 -0.2596663406 0.3626310694
## 44 0.370429869 -0.1189309859 0.0347999310
## 45 -1.648388630 0.6953413154 -0.6222681925
## 46 -1.542907080 1.8711675624 -0.7424344051
## 47 -1.542907080 1.8711675624 -0.7424344051
## 48 -1.887764501 0.2059530943 -1.1061545347
## 49 -0.726093159 -0.3150005291 -0.4896627046
## 50 -0.998077061 0.5084938654 -0.4635275744
## 51 -0.262349239 0.7259653492 -0.9199975952
## 52 0.984573231 -0.4930906274 -0.2030549782
## 53 -2.246109412 1.0915607980 -0.3869888400
## 54 -1.779904799 0.5435093796 -0.7296100169
## 55 0.612147683 -0.7707506369 1.0258279716
## 56 -1.306162533 -0.8439664099 -0.9599005324
## 57 -0.024416245 -0.2806306723 0.3439613183
## 58 -0.192572071 -1.8187188450 0.9215434078
## 59 -1.291795211 -0.0223000054 0.2476803930
## 60 2.946261357 -2.9342319801 2.0150011666
## 61 -0.450991460 -0.4694096381 -0.5271789082
## 62 2.199477170 -1.4519874669 2.1502169379
## 63 -1.459370419 0.5535527797 -0.9199321421
## 64 -0.368817682 0.1501731564 1.5699719657
## 65 2.946261357 -2.9342319801 2.0150011666
## 66 -0.450991460 -0.4694096381 -0.5271789082
## 67 -4.622190475 1.0062371020 1.4286529529
## 68 -1.926788115 1.1802611792 -0.6797346645
## 69 -1.573298119 1.3934077638 -1.3659218786
## 70 -0.334896364 0.1150346072 -0.5642665521
## 71 -0.289055269 0.2114538598 -0.5853986278
## 72 -0.334896364 0.1150346072 -0.5642665521
## 73 -0.428226676 0.2777822267 -0.7343385476
## 74 -0.750980451 -0.2195479983 -0.9968364266
## 75 -0.428226676 0.2777822267 -0.7343385476
## 76 2.553739062 -2.3962712277 1.1727724829
## 77 -0.973925571 -0.4631340070 0.1977336976
## 78 0.171436160 -0.8352442593 -0.1437069069
## 79 -0.180926745 0.2205967167 -0.7835728137
## 80 1.619705143 -0.2810254179 0.5079514547
## 81 0.171436160 -0.8352442593 -0.1437069069
## 82 1.196817042 -0.4915833721 -0.5262326648
## 83 -0.111493263 0.0868403337 -0.5926226182
## 84 -1.817277802 1.4740817253 -1.4740900167
## 85 -0.387565377 0.1971627341 -0.5748723444
## 86 -1.558816569 1.1786822931 -1.2464478417
## 87 -1.107519986 -0.1271059016 -0.0391332257
## 88 -2.829120275 2.5893388487 -2.4014473239
## 89 -2.886228595 2.6405533439 -2.3650264264
## 90 -0.526345644 -0.8199252789 -0.6854254195
## 91 0.364340094 0.2838942620 0.7104078858
## 92 -2.760990245 -0.8683009796 0.6776518753
## 93 -1.511859788 1.6613951930 -1.2393051969
## 94 -0.266588059 0.2096571168 -0.3447974165
## 95 -0.377689066 -0.6253452095 0.0682633279
## 96 -0.266588059 0.2096571168 -0.3447974165
## 97 -3.335695578 -2.2343752875 1.8768995040
## 98 -1.329562766 -0.9925340548 -0.9263248369
## 99 -3.335695578 -2.2343752875 1.8768995040
## 100 0.583463909 0.1011129133 0.7412881704
## 101 -2.993543657 0.0409127331 0.2394888980
## 102 -1.350634160 -0.2170450149 -0.1891012182
## 103 0.100808817 -1.1524538391 -0.6600687696
## 104 6.062244467 -2.4066850897 3.3808975842
## 105 -1.699637129 0.0602524822 0.2769836889
## 106 -1.699637129 0.0602524822 0.2769836889
## 107 0.375027886 0.7042244866 2.3944031068
## 108 0.382309221 0.6934381081 2.4869671389
## 109 0.375027886 0.7042244866 2.3944031068
## 110 -1.910390496 0.8719900799 -0.6358221538
## 111 -1.741480111 0.1785350821 0.1527022430
## 112 -1.435246933 1.2218424361 -1.6109757739
## 113 -0.259933379 -0.8063302419 -0.4825040208
## 114 -1.082152022 0.0327343652 -0.3226724163
## 115 0.028968298 2.8807000275 2.8054137890
## 116 -0.012710565 2.7694227715 2.7259666533
## 117 0.282547635 -0.3663412281 -0.5425139211
## 118 -1.587283183 0.2838782008 -0.1562175856
## 119 -1.676057208 0.0039368592 -0.4017464593
## 120 -1.984828110 0.0732161412 -0.4952489604
## 121 -1.748267879 1.7382515042 -2.1354682461
## 122 -0.090541984 -0.3473628905 -0.8634034054
## 123 -1.622769469 0.3234183556 0.3156929069
## 124 -1.221721538 -0.7973898987 0.3293518060
## 125 -0.662751333 -0.5297795065 -0.8114511449
## 126 -0.546263298 -0.2190143824 -0.3183526039
## 127 -1.976624874 1.1862171778 -0.9607557634
## 128 0.003776131 0.5003442298 -0.9095558930
## 129 0.003776131 0.5003442298 -0.9095558930
## 130 1.596127043 -0.7279567467 0.7233202872
## 131 -1.692881988 1.1995751103 -0.3203876850
## 132 -1.465098705 0.1296869845 -0.4505434988
## 133 -1.417666265 0.1246463030 -0.6576816843
## 134 1.161781380 -0.7020301999 0.6511125154
## 135 0.277314479 -0.6145887436 -0.0962738466
## 136 0.189674278 -0.1557085024 -0.4001788888
## 137 0.582139401 0.2939297842 0.4384431286
## 138 -1.115164704 -0.5706128515 0.7996656779
## 139 -0.497226446 0.0006756517 -0.9206704811
## 140 -0.497226446 0.0006756517 -0.9206704811
## 141 -0.795379000 0.1411002190 0.0055552568
## 142 3.305365860 -1.4015647783 -0.1008888631
## 143 -3.049760828 1.6625104430 -1.1860074733
## 144 1.597313588 -1.5643109352 -0.4836786191
## 145 -0.448247716 -0.8182467669 -0.2237673312
## 146 3.875383207 -0.5200779000 -0.5390719940
## 147 3.875383207 -0.5200779000 -0.5390719940
## 148 0.266845638 -0.3030896915 0.3549617546
## 149 1.347152252 -1.2162403059 -0.6521998331
## 150 -0.597190292 0.8869651321 -0.6945646560
## 151 -0.672680586 0.4057450342 0.4025689337
## 152 -0.503098317 0.7439437990 -0.7288979566
## 153 0.763354902 0.7430899372 2.2429263621
## 154 -0.099257555 0.2703862783 -0.8755048164
## 155 -0.774897632 0.6846106560 -0.8346641203
## 156 -1.003890885 -0.4048938556 -0.6011207306
## 157 0.029118547 -0.7947915915 0.7245395511
## 158 -0.237115736 -0.3235073196 -0.3104946941
## 159 -1.876823432 -0.3629404730 -1.0834876808
## 160 0.138608429 0.5834981077 -1.1014315316
## 161 -0.529562726 -0.1533196680 1.1645599188
## 162 2.477178403 -2.2053717101 2.0236942718
## 163 -3.042446516 -1.3708017922 0.5843226372
## 164 -0.899596716 -0.4063971380 -0.5168403570
## 165 0.381690728 -0.0665944789 0.4921567086
## 166 -1.301225174 1.7212603210 -1.5595679197
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## 840 -1.441820125 1.5267886134 -2.0900537323
## 841 1.435703349 0.1395172270 -0.0544228072
## 842 -2.832861753 1.0762809722 -1.1141120650
## 843 -0.488727262 -2.0059975117 0.6897779945
## 844 -1.175523762 0.3804602646 -0.6321523898
## 845 -1.454898971 -0.6220718490 0.6509015262
## 846 -0.619840819 -0.6456999081 -1.4902838244
## 847 0.411837377 -1.7209604726 0.6263541375
## 848 -0.162105220 0.3494977048 0.2187267457
## 849 -0.619840819 -0.6456999081 -1.4902838244
## 850 -0.181255515 -1.4438217822 -0.8441146023
## 851 0.132520155 -1.2856795516 -0.6684585404
## 852 1.032027878 3.0023730122 1.4573544613
## 853 0.027111646 -1.6504063175 1.3741698882
## 854 0.027111646 -1.6504063175 1.3741698882
## 855 1.145183709 -0.2350793361 0.5330028549
## 856 0.027111646 -1.6504063175 1.3741698882
## 857 -0.663098948 -2.0447466142 0.7741536416
## 858 -1.757853719 -0.0658446434 -0.7490258657
## 859 -1.757853719 -0.0658446434 -0.7490258657
## 860 1.561674673 -0.7582874970 -1.3247473273
## 861 -0.002914968 -0.2749914830 -0.5434957663
## 862 0.664116311 -1.7368404321 0.7036973086
## 863 1.951746607 -1.0850260065 0.0663063577
## 864 1.951746607 -1.0850260065 0.0663063577
## 865 3.443545943 -0.1837218877 -0.8595753154
## 866 1.017918266 0.8621899991 -0.3086322681
## 867 -0.367113292 1.2672042056 0.7273978650
## 868 0.449298348 0.0454299136 -0.8542750850
## 869 -3.516624573 -1.9675436203 1.0055250489
## 870 -0.261285772 -0.3748231219 0.3826438517
## 871 0.143156432 -1.9143098935 0.8866909409
## 872 -1.750282381 1.4395714119 2.0758308111
## 873 -0.261285772 -0.3748231219 0.3826438517
## 874 -2.770740183 0.1897511647 -0.9324838508
## 875 -0.810448665 -0.0881815136 -1.0482547280
## 876 -2.770740183 0.1897511647 -0.9324838508
## 877 -1.210773456 1.5668528284 -0.9208911262
## 878 -2.027876152 0.9590346870 0.1802321745
## 879 -0.880257070 0.2700930400 0.6385699834
## 880 -0.047480188 0.4939603467 -0.5704080264
## 881 -1.086282902 -0.3036617531 -0.0074013553
## 882 -1.230538067 0.4379399979 -0.9868586382
## 883 -1.810413432 0.1146876583 0.5691094086
## 884 -0.833386523 0.2622012484 0.6040279796
## 885 -1.923771599 0.4594803266 -1.1392385327
## 886 -1.713748900 0.0419626858 -1.2899348958
## 887 -1.324170098 0.3390573153 0.0507987357
## 888 -0.793283079 0.2667947098 1.2633327362
## 889 -0.152789517 0.6701214010 0.6490589403
## 890 -1.910795211 0.2993905144 0.0681179521
## 891 2.212585997 -1.4866299283 0.5845144731
## 892 -3.460779850 1.1183077598 -0.4032084156
## 893 1.167867843 0.2159900111 1.0324669155
## 894 -0.280775802 -1.3737570928 0.9849745760
## 895 -1.445476998 0.0454422624 -0.0421425397
## 896 -1.445476998 0.0454422624 -0.0421425397
## 897 2.045307975 -1.1482522955 -0.1241660428
## 898 -0.828007978 -0.4610933337 0.5435583771
## 899 -3.712374160 -2.3230879705 1.6846380484
## 900 -1.463215669 -1.1532727720 0.5518739088
## 901 -2.680535390 -0.6876887655 0.8317415237
## 902 -0.742764695 0.2057304019 0.6752612579
## 903 -1.074296352 -0.1813406261 -0.3093380962
## 904 -0.432092686 0.7719673710 -0.7645992890
## 905 0.898165626 0.7019985728 0.2842489730
## 906 -1.553885056 0.3465117647 -1.3455489645
## 907 -0.432092686 0.7719673710 -0.7645992890
## 908 1.019415069 -1.4650397620 -1.3161596826
## 909 -0.991995624 -0.5877380788 1.0005218795
## 910 -0.991995624 -0.5877380788 1.0005218795
## 911 -1.297594448 0.5374653555 -0.9437158041
## 912 0.235783453 0.6095187829 -0.1265525421
## 913 -1.203218796 -0.6972371923 0.3408414293
## 914 2.019296303 -0.4191105023 -0.3001978905
## 915 1.028086813 0.3681494469 1.8540279676
## 916 1.028086813 0.3681494469 1.8540279676
## 917 -1.744081485 0.3194749182 -1.2328469567
## 918 -0.608348593 0.1508953397 0.5366212226
## 919 -2.319509860 -1.3128964904 0.6597697008
## 920 -1.494934712 1.6690992041 2.7774948998
## 921 -1.571981016 -0.8712251725 -0.0417726073
## 922 -3.142480168 -1.1391479285 -0.4796495683
## 923 -3.706806980 3.2836719675 -2.5121429212
## 924 -3.620655904 -0.2078341617 0.3966334118
## 925 -2.397619164 0.5958755275 0.2999959918
## 926 0.640216801 -1.3202787138 -0.6172364700
## 927 -0.814199064 0.9469316196 -0.4650660007
## 928 -0.775516037 0.1627894155 0.2061621084
## 929 0.496615636 0.9621686038 -0.0034306012
## 930 -1.279455354 -0.0259372107 0.3851803499
## 931 -1.621640519 -0.7264275038 0.0908985315
## 932 -1.900312982 1.8523246498 -1.4040195552
## 933 -0.538749000 0.0829828290 -0.2630802928
## 934 -4.877398650 -0.6614543444 0.2579297626
## 935 2.778418835 -1.4398481026 0.4470810709
## 936 -4.994674615 -0.6919271026 0.3063978613
## 937 0.490030800 -1.4992885968 -0.7608174892
## 938 -1.246151046 -0.9523786914 0.2191668667
## 939 -1.246151046 -0.9523786914 0.2191668667
## 940 -1.246151046 -0.9523786914 0.2191668667
## 941 -1.246151046 -0.9523786914 0.2191668667
## 942 -1.499900304 -0.3124271734 -0.4307289511
## 943 -0.644415983 0.0728299701 -0.1896521633
## 944 -0.644415983 0.0728299701 -0.1896521633
## 945 -0.737102001 2.0698397471 0.7942942718
## 946 -0.106982903 -0.3999785345 -1.4596903036
## 947 0.064379980 1.2341603460 -1.2124398239
## 948 -1.980328147 0.9610113865 -1.5425513046
## 949 -1.991620252 -0.4262517049 0.4183510183
## 950 -2.308667431 -0.5232235457 -0.4352157672
## 951 -2.308667431 -0.5232235457 -0.4352157672
## 952 -2.308667431 -0.5232235457 -0.4352157672
## 953 -1.480515156 -0.2789275754 -0.5458296955
## 954 -1.480515156 -0.2789275754 -0.5458296955
## 955 -1.480515156 -0.2789275754 -0.5458296955
## 956 -1.480515156 -0.2789275754 -0.5458296955
## 957 2.484009426 0.3238745618 -1.2018883479
## 958 -0.084672131 -0.2815669719 -0.6388508564
## 959 -2.483905680 -0.2650358863 -0.7497778204
## 960 -1.758214444 0.5509067286 -1.4057042652
## 961 -1.991705482 -0.2126206366 -0.8714637761
## 962 -1.437488517 0.7631644505 -0.7612793422
## 963 -1.257397292 -1.2404132655 -0.7713448016
## 964 -1.281341941 -1.1887631020 -0.8723813715
## 965 -1.231325295 -0.1766097166 1.2556340747
## 966 -0.510977928 2.3279407033 3.2699495266
## 967 2.002976720 -0.4999757167 -1.6182910227
## 968 -0.978706180 1.4623981181 -0.8346801864
## 969 2.002976720 -0.4999757167 -1.6182910227
## 970 -2.033656904 -0.0358604837 -0.7044990748
## 971 -1.361949028 0.5028959528 -1.2181054769
## 972 0.620567475 -1.2908297184 0.4009074615
## 973 -0.513684035 0.7956823957 -0.6703670979
## 974 1.697186053 -1.0181878536 -0.2158266930
## 975 0.932885968 -1.3942678820 0.1278371326
## 976 1.697186053 -1.0181878536 -0.2158266930
## 977 -0.967153355 0.5505028098 -1.9552529020
## 978 -0.801369089 -0.3098552353 -0.6541300644
## 979 -1.292941073 0.1030271406 -0.3514141309
## 980 -1.292941073 0.1030271406 -0.3514141309
## 981 -0.743737800 0.3868782195 0.2138840111
## 982 -0.743737800 0.3868782195 0.2138840111
## 983 -1.144676173 0.6424298483 -0.4569538832
## 984 -0.544005151 1.8761174718 0.8047180908
## 985 -1.172577167 0.1397786250 -1.0359876748
## 986 -0.020816456 1.4813289607 0.6419965805
## 987 -2.910842886 -0.8958278947 0.3641009856
## 988 -0.717566511 0.2207161389 -1.0218691443
## 989 -1.459205089 -0.4030061597 -1.6084851329
## 990 -0.541488491 0.0240884908 -0.1724552016
## 991 -0.472618445 0.3906819258 -1.5756399917
## 992 -0.434378767 0.3776974034 -1.4996388996
## 993 -0.762272712 0.0034732857 -0.2667895601
## 994 -1.654569695 0.0447707745 -0.4245582062
## 995 -0.802175159 0.7286938549 0.6926061102
## 996 0.274215662 -1.6913565669 -0.0372989277
## 997 0.764837292 -2.3388461394 -0.0881991649
## 998 0.263331832 0.2433603095 -0.1295559552
## 999 1.736947483 -0.5348129687 1.0506119249
## 1000 -2.135288499 -0.8622130842 2.6479391955
## 1001 0.601624117 -1.9575076651 2.3419391004
## 1002 -2.135288499 -0.8622130842 2.6479391955
## 1003 -3.288584284 0.8014604941 -1.5843591996
## 1004 -0.794830741 -0.8722483923 0.1188672398
## 1005 1.736947483 -0.5348129687 1.0506119249
## 1006 1.303280077 -0.5920312444 -0.5186768292
## 1007 2.650047795 -0.7426051981 -0.8411709186
## 1008 -1.907118054 -0.5720358846 -0.2153852860
## 1009 2.650047795 -0.7426051981 -0.8411709186
## 1010 -0.159758821 -1.3065144297 1.0614132918
## 1011 -1.028079869 -0.2443708592 -1.7156878663
## 1012 -1.022862974 0.5663016501 0.6700888965
## 1013 -1.028079869 -0.2443708592 -1.7156878663
## 1014 -0.665512144 -0.5295011853 0.4672774141
## 1015 -1.464354947 -0.3631881121 2.0959351027
## 1016 -1.301006909 0.5323059383 0.6877416857
## 1017 -0.100268905 -0.6967810075 -0.5852113661
## 1018 -1.271719747 0.4009372421 0.4451184425
## 1019 0.716570993 -1.9140680839 2.6387429897
## 1020 -0.709089594 -0.8635565703 0.2241922503
## 1021 -0.198285126 -0.5808438003 -0.3306964605
## 1022 -1.228636580 -1.2595099315 0.0988716747
## 1023 4.185247044 6.7943784569 6.7605682185
## 1024 1.726422814 -0.0895924721 0.3524906217
## 1025 -1.618132841 1.9146616174 0.4088582983
## 1026 -1.843382092 0.1475853605 -1.4386655298
## 1027 -1.467837296 0.3513085143 0.9826239205
## 1028 -1.836596007 -0.7579290277 -0.8666710982
## 1029 -0.191105834 2.2397423848 0.4701125084
## 1030 -1.518973912 0.3279309657 0.4061689459
## 1031 -0.105709926 -1.5132756774 0.2841518737
## 1032 -0.110136775 -1.4964214285 0.2490955905
## 1033 0.890696959 -1.0148153740 0.0912545955
## 1034 -1.963946192 -0.6328429574 1.7921403042
## 1035 2.947900245 0.0624206573 -1.0562704880
## 1036 -2.809140695 0.4312294195 -0.9581072865
## 1037 -0.460269657 -0.1262731297 0.7655629167
## 1038 0.212033256 -1.3299099331 -0.4966769048
## 1039 0.253167944 -2.3801151919 -0.0920772244
## 1040 -1.119666875 -0.1172098925 1.7393129982
## 1041 -2.519202699 0.7299945828 -0.8419463319
## 1042 -1.764158549 0.3164018846 -0.3640061558
## 1043 -1.616499217 -0.1264029907 1.3052291515
## 1044 -0.112313350 -0.1448431667 1.1861663919
## 1045 -2.501962320 1.7310450810 -0.2938181802
## 1046 -0.112313350 -0.1448431667 1.1861663919
## 1047 -1.671990996 1.7434160875 -0.5406619079
## 1048 0.514283317 0.4616138551 -2.1144415868
## 1049 -2.179687510 0.4507758502 -0.3018765996
## 1050 0.799338616 -1.2001223267 1.3161535990
## 1051 -2.332785764 -0.6162525515 -0.2881342909
## 1052 4.080990376 5.5609317552 5.8367964637
## 1053 -2.555742207 -2.0417980739 1.0530149539
## 1054 4.080990376 5.5609317552 5.8367964637
## 1055 -2.555742207 -2.0417980739 1.0530149539
## 1056 -1.070999489 2.8980986927 -0.4988950362
## 1057 1.384487929 -0.7036955747 0.2550658037
## 1058 -2.968294283 -0.5147000732 -0.6069776041
## 1059 1.384487929 -0.7036955747 0.2550658037
## 1060 0.150000447 -1.5379037439 -0.7162445246
## 1061 -1.292274986 0.2236375193 -0.8624870695
## 1062 -1.352564797 -0.0107320943 -0.6643594607
## 1063 -2.197762837 -0.6034501553 -0.1760790909
## 1064 -3.167692951 -0.8152153997 -0.5012191544
## 1065 -0.403026979 -2.2532340031 -0.1816117741
## 1066 -2.909169797 -0.5649763035 -0.8589142170
## 1067 -0.365946051 -0.1178835530 0.2562790322
## 1068 -1.493154397 -1.6859707558 0.2823529347
## 1069 -1.195890872 -1.1541329110 0.3047839315
## 1070 -2.050273119 0.2767038650 -0.7744464971
## 1071 -2.050273119 0.2767038650 -0.7744464971
## 1072 -0.141067879 1.7562006692 0.3109193860
## 1073 -0.873317764 -1.0498042783 -0.0364326808
## 1074 0.352160726 -0.9976346757 -0.5926485789
## 1075 -2.316702790 0.3575264543 -0.9450755247
## 1076 -2.186929616 0.4076184695 -0.9225724527
## 1077 0.352160726 -0.9976346757 -0.5926485789
## 1078 0.967209034 -1.2043872079 0.7027295746
## 1079 0.300762355 -2.3629674317 -0.2149300624
## 1080 -0.870222637 -0.9016151377 1.4572818844
## 1081 -1.499706728 0.5881494465 0.1105006624
## 1082 -0.999081966 1.7865751883 0.5542117394
## 1083 -0.999081966 1.7865751883 0.5542117394
## 1084 -1.528444035 -0.7917324947 1.3996264456
## 1085 0.192709645 -0.6893620767 -0.5288117683
## 1086 -1.680213437 0.7506537826 -0.1863219893
## 1087 -0.417393329 -1.5778241585 1.6732072177
## 1088 -1.009767000 -0.5425001535 1.0462837334
## 1089 -1.253411891 -0.4727586025 0.2565001582
## 1090 -1.097043326 -0.4766356809 0.2777043050
## 1091 0.814671974 -1.0180430655 0.7477319404
## 1092 -1.788730022 0.6801597198 1.7426992876
## 1093 -1.529966553 -1.0428237332 -0.1175410118
## 1094 -2.157558043 0.5156713303 0.1657111021
## 1095 -0.642724939 -0.4032932445 0.0655679658
## 1096 -0.179642631 -0.3578080031 1.2414417271
## 1097 -1.772632493 -0.5734443947 0.0017906180
## 1098 -1.188999707 -0.0824581796 -0.1146950378
## 1099 -2.251703097 0.0774469614 0.2333258969
## 1100 -1.572815713 0.6554602066 0.6537200348
## 1101 1.006783845 -1.4167467971 0.0724890949
## 1102 -1.072573770 -0.4811842864 -0.0360757558
## 1103 -1.533419767 -0.0340065048 -0.0545156412
## 1104 2.228545815 -0.1692985545 -0.3821567761
## 1105 -0.295441659 -1.6059138176 0.2886632767
## 1106 -1.597018843 1.0473769086 -0.1303401958
## 1107 -2.120489066 0.9820352478 1.7855660331
## 1108 -1.491848187 1.0924915394 -0.1943619498
## 1109 -1.426491073 -0.6618622256 -0.0195392459
## 1110 -2.425750608 1.1512200395 -0.6521390543
## 1111 -2.421593342 1.0952903810 -0.2556371496
## 1112 0.190813564 2.7196775825 4.9026311679
## 1113 -0.445332757 0.3127812500 0.6347579558
## 1114 -0.445332757 0.3127812500 0.6347579558
## 1115 -0.445332757 0.3127812500 0.6347579558
## 1116 -1.317811008 0.2762450533 -0.7576314611
## 1117 -1.317811008 0.2762450533 -0.7576314611
## 1118 -1.815246840 -0.3462452341 0.9148422441
## 1119 0.524760775 -2.3050964535 1.4677474889
## 1120 -1.317811008 0.2762450533 -0.7576314611
## 1121 -1.211138869 -0.0782370324 0.4018125395
## 1122 -2.129246980 -0.8246005577 0.0758298541
## 1123 -0.190705618 -2.4444491468 1.3165291502
## 1124 -1.379549990 -0.9810472080 0.3833290659
## 1125 -0.902819034 0.6493557459 1.0602781936
## 1126 -2.078692434 -0.5401391137 0.4410460498
## 1127 -0.200366785 -0.8506665712 -0.2426351495
## 1128 1.046883580 -1.9516834377 0.4207096317
## 1129 -1.621830277 1.4288607467 0.7565103760
## 1130 -1.579812969 -0.2118576865 -0.3066580371
## 1131 -0.441543027 -1.1921269175 -0.1697167840
## 1132 -2.871765924 0.1555947299 -0.1427014426
## 1133 -0.910501136 -0.5501009495 1.4284497044
## 1134 0.068960290 -1.6911887162 1.3972574832
## 1135 0.127553734 -1.6116777622 2.1870812023
## 1136 -2.401296621 -0.4985860406 0.3770067336
## 1137 -1.602135521 -1.3543172245 1.1143638251
## 1138 -3.394516906 -0.1496803853 0.0320058076
## 1139 -1.390838026 -0.4557820038 1.4465054390
## 1140 -1.331743607 -0.1440817478 1.1225085427
## 1141 -2.217327529 -0.0558380100 1.2109886866
## 1142 -2.105810727 -0.4369003728 2.2831249848
## 1143 -2.318308025 -0.1219157588 1.5282818750pca_result$var## $coord
## Dim.1 Dim.2 Dim.3
## fixed.acidity 0.8910128 0.153805975 -0.22847308
## volatile.acidity -0.4693158 0.644307493 -0.25037753
## citric.acid 0.8458382 -0.248032508 0.07552260
## residual.sugar 0.3148605 0.591918945 0.46932697
## free.sulfur.dioxide -0.1087932 0.123686617 0.83168452
## density 0.6740071 0.542186620 -0.05811055
## pH -0.7562284 -0.003365468 0.16205943
## sulphates 0.3966123 -0.417945654 0.31924460
##
## $cor
## Dim.1 Dim.2 Dim.3
## fixed.acidity 0.8914028 0.153873301 -0.22857310
## volatile.acidity -0.4695213 0.644589528 -0.25048713
## citric.acid 0.8462084 -0.248141080 0.07555566
## residual.sugar 0.3149983 0.592178047 0.46953241
## free.sulfur.dioxide -0.1088408 0.123740758 0.83204857
## density 0.6743022 0.542423953 -0.05813599
## pH -0.7565595 -0.003366942 0.16213037
## sulphates 0.3967859 -0.418128603 0.31938434
##
## $cos2
## Dim.1 Dim.2 Dim.3
## fixed.acidity 0.79459894 0.0236769928 0.052245660
## volatile.acidity 0.22045021 0.4154956592 0.062743804
## citric.acid 0.71606869 0.0615739955 0.005708658
## residual.sugar 0.09922394 0.3506748391 0.220460687
## free.sulfur.dioxide 0.01184631 0.0153117753 0.692304824
## density 0.45468342 0.2942237448 0.003379793
## pH 0.57238221 0.0000113363 0.026286257
## sulphates 0.15743904 0.1748315282 0.102006360
##
## $contrib
## Dim.1 Dim.2 Dim.3
## fixed.acidity 26.2530425 1.772496e+00 4.4840824
## volatile.acidity 7.2835343 3.110463e+01 5.3851054
## citric.acid 23.6584532 4.609522e+00 0.4899564
## residual.sugar 3.2782959 2.625205e+01 18.9214546
## free.sulfur.dioxide 0.3913947 1.146263e+00 59.4183682
## density 15.0224503 2.202603e+01 0.2900771
## pH 18.9111435 8.486522e-04 2.2560676
## sulphates 5.2016857 1.308815e+01 8.7548883###Visualization membuat scree plot
fviz_eig(pca_result,
addlabels = TRUE,
barfill = "skyblue",
barcolor = "darkblue",
linecolor = "red")## Warning in geom_bar(stat = "identity", fill = barfill, color = barcolor, :
## Ignoring empty aesthetic: `width`.
Biplot
fviz_pca_biplot(pca_result,
geom.ind = "point",
#col.ind = status.ipm,
#palette = c("#FC4E07","#E7B800", "#00AFBB"),
addEllipses = TRUE,
#legend.title = "Kategori"
)
correlation circle
contrib_circle <- fviz_pca_var(pca_result, col.var = "contrib",
gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
repel = TRUE) +
ggtitle("Kontribusi Variabel")
plot(contrib_circle)
contribution
contrib_v_PC1 <- fviz_contrib(pca_result, choice = "var", axes = 1, top = 5) + ggtitle("PC1")
plot(contrib_v_PC1)
contrib_v_PC2 <- fviz_contrib(pca_result, choice = "var", axes = 2, top = 5) + ggtitle("PC2")
plot(contrib_v_PC2)
Factor Analysis
manual
varcov = cov(scale_data)
pc = eigen(varcov)
cat("Eigen value:\n")## Eigen value:pc$values## [1] 3.0266928 1.3357999 1.1651360 0.7928536 0.7328106 0.5068764 0.2948334
## [8] 0.1449973cat("Eigen vector:\n")## Eigen vector:pc$vectors## [,1] [,2] [,3] [,4] [,5] [,6]
## [1,] 0.51237723 -0.133135101 -0.21175652 -0.07427453 0.167906513 0.17800785
## [2,] -0.26988024 -0.557715285 -0.23205830 0.33665797 0.396371719 -0.22040755
## [3,] 0.48639956 0.214697985 0.06999688 -0.16530169 -0.093389239 0.07218566
## [4,] 0.18106065 -0.512367536 0.43498798 -0.00811461 -0.573459678 -0.41240202
## [5,] -0.06256154 -0.107063657 0.77083311 -0.24129463 0.544318284 0.18219366
## [6,] 0.38758806 -0.469319026 -0.05385881 0.25053323 0.007632712 0.53941189
## [7,] -0.43486945 0.002913164 0.15020212 0.20869708 -0.415453465 0.63008615
## [8,] 0.22807204 0.361775522 0.29588661 0.83018657 0.090427188 -0.15257541
## [,7] [,8]
## [1,] 0.006530124 0.78068243
## [2,] 0.493046694 0.01198373
## [3,] 0.769119850 -0.28216727
## [4,] 0.003351579 0.12834912
## [5,] 0.014846062 0.05019280
## [6,] -0.269260004 -0.44757467
## [7,] 0.302074090 0.28966539
## [8,] -0.036546243 0.08689666# Ambil 2 faktor
sp = sum(pc$values[1:3])
L1 = sqrt(pc$values[1]) * pc$vectors[,1]
L2 = sqrt(pc$values[2]) * pc$vectors[,2]
L3 = sqrt(pc$values[3]) * pc$vectors[,3]
L = cbind(L1, L2, L3)
cat("Factor Loading:\n")## Factor Loading:L## L1 L2 L3
## [1,] 0.8914028 -0.153873301 -0.22857310
## [2,] -0.4695213 -0.644589528 -0.25048713
## [3,] 0.8462084 0.248141080 0.07555566
## [4,] 0.3149983 -0.592178047 0.46953241
## [5,] -0.1088408 -0.123740758 0.83204857
## [6,] 0.6743022 -0.542423953 -0.05813599
## [7,] -0.7565595 0.003366942 0.16213037
## [8,] 0.3967859 0.418128603 0.31938434principal
fa <- principal(scale_data,
nfactors = 3,
rotate = "none")
fa## Principal Components Analysis
## Call: principal(r = scale_data, nfactors = 3, rotate = "none")
## Standardized loadings (pattern matrix) based upon correlation matrix
## PC1 PC2 PC3 h2 u2 com
## fixed.acidity 0.89 0.15 -0.23 0.87 0.13 1.2
## volatile.acidity -0.47 0.64 -0.25 0.70 0.30 2.2
## citric.acid 0.85 -0.25 0.08 0.78 0.22 1.2
## residual.sugar 0.31 0.59 0.47 0.67 0.33 2.5
## free.sulfur.dioxide -0.11 0.12 0.83 0.72 0.28 1.1
## density 0.67 0.54 -0.06 0.75 0.25 1.9
## pH -0.76 0.00 0.16 0.60 0.40 1.1
## sulphates 0.40 -0.42 0.32 0.43 0.57 2.9
##
## PC1 PC2 PC3
## SS loadings 3.03 1.34 1.17
## Proportion Var 0.38 0.17 0.15
## Cumulative Var 0.38 0.55 0.69
## Proportion Explained 0.55 0.24 0.21
## Cumulative Proportion 0.55 0.79 1.00
##
## Mean item complexity = 1.7
## Test of the hypothesis that 3 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.08
## with the empirical chi square 369.3 with prob < 9.1e-76
##
## Fit based upon off diagonal values = 0.94fa$loadings##
## Loadings:
## PC1 PC2 PC3
## fixed.acidity 0.891 0.154 -0.229
## volatile.acidity -0.470 0.645 -0.250
## citric.acid 0.846 -0.248
## residual.sugar 0.315 0.592 0.470
## free.sulfur.dioxide -0.109 0.124 0.832
## density 0.674 0.542
## pH -0.757 0.162
## sulphates 0.397 -0.418 0.319
##
## PC1 PC2 PC3
## SS loadings 3.027 1.336 1.165
## Proportion Var 0.378 0.167 0.146
## Cumulative Var 0.378 0.545 0.691fa.diagram(fa)
rotasi
fa_varimax <- principal(scale_data,
nfactors = 3,
rotate = "varimax")
fa_varimax## Principal Components Analysis
## Call: principal(r = scale_data, nfactors = 3, rotate = "varimax")
## Standardized loadings (pattern matrix) based upon correlation matrix
## RC1 RC2 RC3 h2 u2 com
## fixed.acidity 0.90 0.23 -0.09 0.87 0.13 1.2
## volatile.acidity -0.07 -0.83 0.06 0.70 0.30 1.0
## citric.acid 0.61 0.64 -0.01 0.78 0.22 2.0
## residual.sugar 0.39 -0.12 0.71 0.67 0.33 1.6
## free.sulfur.dioxide -0.27 0.17 0.79 0.72 0.28 1.3
## density 0.83 -0.11 0.24 0.75 0.25 1.2
## pH -0.70 -0.31 0.11 0.60 0.40 1.4
## sulphates 0.08 0.65 0.10 0.43 0.57 1.1
##
## RC1 RC2 RC3
## SS loadings 2.60 1.72 1.21
## Proportion Var 0.32 0.22 0.15
## Cumulative Var 0.32 0.54 0.69
## Proportion Explained 0.47 0.31 0.22
## Cumulative Proportion 0.47 0.78 1.00
##
## Mean item complexity = 1.4
## Test of the hypothesis that 3 components are sufficient.
##
## The root mean square of the residuals (RMSR) is 0.08
## with the empirical chi square 369.3 with prob < 9.1e-76
##
## Fit based upon off diagonal values = 0.94fa_varimax$loadings##
## Loadings:
## RC1 RC2 RC3
## fixed.acidity 0.900 0.232
## volatile.acidity -0.831
## citric.acid 0.611 0.640
## residual.sugar 0.394 -0.123 0.707
## free.sulfur.dioxide -0.267 0.173 0.786
## density 0.827 -0.112 0.236
## pH -0.702 -0.308 0.105
## sulphates 0.645 0.104
##
## RC1 RC2 RC3
## SS loadings 2.598 1.722 1.207
## Proportion Var 0.325 0.215 0.151
## Cumulative Var 0.325 0.540 0.691fa.diagram(fa_varimax)
score
scores = scale_data %*% solve(cor(scale_data)) %*% as.matrix(fa$loadings)
scores## PC1 PC2 PC3
## [1,] -0.9818719432 7.999892e-01 -0.7056444744
## [2,] -0.5940834228 1.238886e+00 0.1610258613
## [3,] -0.5172072963 7.866276e-01 -0.4681535860
## [4,] 1.3931650749 -5.413806e-01 -0.3108105825
## [5,] -0.9818719432 7.999892e-01 -0.7056444744
## [6,] -0.9620207327 6.779164e-01 -0.5481587267
## [7,] -0.6669159612 3.374770e-01 -0.7439099245
## [8,] -1.2714153729 -4.137093e-02 -0.7323796119
## [9,] -0.6364170484 2.728370e-01 -0.8011764168
## [10,] -0.7725003748 -9.503314e-04 -0.3953423430
## [11,] -1.7998914526 -2.658167e-01 -0.0541373091
## [12,] 0.6814115312 -1.722787e+00 0.6212801030
## [13,] 0.6474377677 -1.135945e+00 1.6429037793
## [14,] 1.1725754830 -1.785503e+00 0.6918223222
## [15,] -0.1516232946 -1.542555e-01 0.8433023302
## [16,] 0.2874226381 -1.088407e+00 -0.2360783914
## [17,] -0.0173922165 1.668281e-01 -0.8863171251
## [18,] -0.5389927662 -2.554772e-01 0.6684245956
## [19,] -0.7054197263 -9.022773e-01 -0.3983877953
## [20,] -0.1348100565 -6.773880e-01 -0.9338436403
## [21,] -1.0648990302 7.266404e-01 -0.5109985160
## [22,] -0.7802856970 3.358632e-01 -0.8949238885
## [23,] -0.9529780506 4.557158e-01 -0.1299115020
## [24,] -0.1235522617 3.606697e-01 -0.4257261239
## [25,] -0.7270987203 -1.039060e+00 0.1110162379
## [26,] -0.3092004956 1.990284e+00 -0.1673140375
## [27,] -0.4230034982 3.813653e-01 -1.0012592087
## [28,] 0.2805935497 -7.131903e-01 -0.0594609111
## [29,] 0.5273273080 6.055554e-01 1.2564247668
## [30,] 0.1435247689 7.693220e-01 -0.2679979488
## [31,] 0.1893856803 -5.753634e-01 -0.0941527850
## [32,] 0.2251179952 -7.723131e-01 0.1549613073
## [33,] -2.1906664924 -9.058922e-01 0.1844385724
## [34,] -0.0855441652 7.655675e-01 0.0399757726
## [35,] 0.2992566824 -6.190965e-02 -1.2883699619
## [36,] -0.8960790363 -2.939610e-01 -0.4351411066
## [37,] -0.8673907934 -4.377584e-01 -0.5704630868
## [38,] 0.4282369889 4.704743e-02 1.0573051982
## [39,] -0.2488085580 4.590119e-02 1.2191403241
## [40,] 1.4044678552 -1.474786e-01 -0.8254995830
## [41,] -0.4379476285 4.287567e-01 -0.0376893396
## [42,] -0.2859677699 -4.858902e-01 -0.2914600082
## [43,] 0.2730634299 -2.246699e-01 0.3359515832
## [44,] 0.2129226331 -1.029021e-01 0.0322396312
## [45,] -0.9474917578 6.016270e-01 -0.5764866888
## [46,] -0.8868610924 1.618982e+00 -0.6878120351
## [47,] -0.8868610924 1.618982e+00 -0.6878120351
## [48,] -1.0850847140 1.781959e-01 -1.0247725542
## [49,] -0.4173574549 -2.725465e-01 -0.4536372493
## [50,] -0.5736934676 4.399618e-01 -0.4294249324
## [51,] -0.1507980201 6.281237e-01 -0.8523115496
## [52,] 0.5659314824 -4.266346e-01 -0.1881158212
## [53,] -1.2910609284 9.444462e-01 -0.3585173044
## [54,] -1.0230870897 4.702582e-01 -0.6759311626
## [55,] 0.3518617352 -6.668731e-01 0.9503557755
## [56,] -0.7507806179 -7.302212e-01 -0.8892787486
## [57,] -0.0140344278 -2.428088e-01 0.3186554027
## [58,] -0.1106901895 -1.573602e+00 0.8537436337
## [59,] -0.7425222986 -1.929453e-02 0.2294580559
## [60,] 1.6935074049 -2.538772e+00 1.8667535389
## [61,] -0.2592293365 -4.061452e-01 -0.4883933116
## [62,] 1.2642567727 -1.256297e+00 1.9920212181
## [63,] -0.8388443221 4.789480e-01 -0.8522509120
## [64,] -0.2119959502 1.299336e-01 1.4544660180
## [65,] 1.6935074049 -2.538772e+00 1.8667535389
## [66,] -0.2592293365 -4.061452e-01 -0.4883933116
## [67,] -2.6568294011 8.706220e-01 1.3235441250
## [68,] -1.1075154395 1.021192e+00 -0.6297252387
## [69,] -0.9043298241 1.205612e+00 -1.2654283000
## [70,] -0.1924980182 9.953087e-02 -0.5227523440
## [71,] -0.1661486130 1.829553e-01 -0.5423296910
## [72,] -0.1924980182 9.953087e-02 -0.5227523440
## [73,] -0.2461441669 2.403443e-01 -0.6803118059
## [74,] -0.4316626401 -1.899585e-01 -0.9234971959
## [75,] -0.2461441669 2.403443e-01 -0.6803118059
## [76,] 1.4678860726 -2.073315e+00 1.0864892880
## [77,] -0.5598112206 -4.007153e-01 0.1831860378
## [78,] 0.0985412939 -7.226746e-01 -0.1331341050
## [79,] -0.1039964708 1.908659e-01 -0.7259238095
## [80,] 0.9310045248 -2.431504e-01 0.4705804599
## [81,] 0.0985412939 -7.226746e-01 -0.1331341050
## [82,] 0.6879289641 -4.253305e-01 -0.4875166851
## [83,] -0.0640861902 7.513647e-02 -0.5490221982
## [84,] -1.0445690463 1.275413e+00 -1.3656382940
## [85,] -0.2227721022 1.705902e-01 -0.5325778471
## [86,] -0.8960058469 1.019826e+00 -1.1547442047
## [87,] -0.6366011260 -1.099753e-01 -0.0362541168
## [88,] -1.6261748554 2.240362e+00 -2.2247680869
## [89,] -1.6590006473 2.284674e+00 -2.1910267469
## [90,] -0.3025428290 -7.094202e-01 -0.6349973135
## [91,] 0.2094222379 2.456325e-01 0.6581417703
## [92,] -1.5870137981 -7.512761e-01 0.6277956844
## [93,] -0.8690151474 1.437481e+00 -1.1481270584
## [94,] -0.1532344883 1.814007e-01 -0.3194299875
## [95,] -0.2170952110 -5.410646e-01 0.0632410597
## [96,] -0.1532344883 1.814007e-01 -0.3194299875
## [97,] -1.9173537166 -1.933238e+00 1.7388122892
## [98,] -0.7642310432 -8.587658e-01 -0.8581732836
## [99,] -1.9173537166 -1.933238e+00 1.7388122892
## [100,] 0.3353743374 8.748547e-02 0.6867501312
## [101,] -1.7206852133 3.539874e-02 0.2218692253
## [102,] -0.7763428541 -1.877929e-01 -0.1751886669
## [103,] 0.0579447841 -9.971324e-01 -0.6115062025
## [104,] 3.4845706651 -2.082325e+00 3.1321582512
## [105,] -0.9769493321 5.213198e-02 0.2566054502
## [106,] -0.9769493321 5.213198e-02 0.2566054502
## [107,] 0.2155655678 6.093130e-01 2.2182421268
## [108,] 0.2197508700 5.999803e-01 2.3039960397
## [109,] 0.2155655678 6.093130e-01 2.2182421268
## [110,] -1.0980901083 7.544680e-01 -0.5890434583
## [111,] -1.0010006266 1.544731e-01 0.1414676365
## [112,] -0.8249781725 1.057169e+00 -1.4924530948
## [113,] -0.1494093866 -6.976575e-01 -0.4470052442
## [114,] -0.6220196516 2.832261e-02 -0.2989327674
## [115,] 0.0166509422 2.492455e+00 2.5990139389
## [116,] -0.0073060172 2.396175e+00 2.5254118863
## [117,] 0.1624080331 -3.169678e-01 -0.5026000971
## [118,] -0.9123684220 2.456187e-01 -0.1447243483
## [119,] -0.9633956223 3.406271e-03 -0.3721891764
## [120,] -1.1408767572 6.334847e-02 -0.4588125133
## [121,] -1.0049022269 1.503979e+00 -1.9783576167
## [122,] -0.0520434213 -3.005472e-01 -0.7998811064
## [123,] -0.9327658953 2.798298e-01 0.2924667543
## [124,] -0.7022440380 -6.899221e-01 0.3051207412
## [125,] -0.3809486512 -4.583787e-01 -0.7517510767
## [126,] -0.3139914722 -1.894968e-01 -0.2949307721
## [127,] -1.1361615469 1.026345e+00 -0.8900710586
## [128,] 0.0021705154 4.329106e-01 -0.8426380641
## [129,] 0.0021705154 4.329106e-01 -0.8426380641
## [130,] 0.9174518619 -6.298467e-01 0.6701041807
## [131,] -0.9730664850 1.037903e+00 -0.2968161283
## [132,] -0.8421369342 1.122085e-01 -0.4173961210
## [133,] -0.8148728260 1.078472e-01 -0.6092947399
## [134,] 0.6677905084 -6.074144e-01 0.6032088778
## [135,] 0.1594000218 -5.317578e-01 -0.0891907890
## [136,] 0.1090245420 -1.347230e-01 -0.3707369352
## [137,] 0.3346130121 2.543155e-01 0.4061859991
## [138,] -0.6409953006 -4.937088e-01 0.7408326898
## [139,] -0.2858051496 5.845911e-04 -0.8529349299
## [140,] -0.2858051496 5.845911e-04 -0.8529349299
## [141,] -0.4571828709 1.220835e-01 0.0051465455
## [142,] 1.8999202319 -1.212670e+00 -0.0934662695
## [143,] -1.7529987736 1.438446e+00 -1.0987505540
## [144,] 0.9181338860 -1.353482e+00 -0.4480934249
## [145,] -0.2576522357 -7.079680e-01 -0.2073043253
## [146,] 2.2275655023 -4.499847e-01 -0.4994113994
## [147,] 2.2275655023 -4.499847e-01 -0.4994113994
## [148,] 0.1533825448 -2.622409e-01 0.3288465151
## [149,] 0.7743414580 -1.052322e+00 -0.6042161994
## [150,] -0.3432642455 7.674248e-01 -0.6434641583
## [151,] -0.3866559736 3.510609e-01 0.3729511397
## [152,] -0.2891802939 6.436791e-01 -0.6752714899
## [153,] 0.4387754593 6.429403e-01 2.0779098263
## [154,] -0.0570531206 2.339451e-01 -0.8110921926
## [155,] -0.4454102063 5.923426e-01 -0.7732562275
## [156,] -0.5770352463 -3.503245e-01 -0.5568950876
## [157,] 0.0167373051 -6.876739e-01 0.6712337410
## [158,] -0.1362938337 -2.799068e-01 -0.2876509843
## [159,] -1.0787958007 -3.140253e-01 -1.0037733457
## [160,] 0.0796719545 5.048574e-01 -1.0203970319
## [161,] -0.3043920037 -1.326561e-01 1.0788809385
## [162,] 1.4238791002 -1.908144e+00 1.8748070752
## [163,] -1.7487945163 -1.186053e+00 0.5413328632
## [164,] -0.5170870861 -3.516252e-01 -0.4788153880
## [165,] 0.2193953611 -5.761924e-02 0.4559477646
## [166,] -0.7479426303 1.489278e+00 -1.4448274183
## [167,] -0.8484047845 3.699059e-01 -0.4553773068
## [168,] 0.9991522058 -8.578558e-01 -0.7339345549
## [169,] 1.7721545998 -2.288506e-01 -1.0682265441
## [170,] -0.3694450533 2.058889e-01 0.1530706220
## [171,] 2.5518901820 -3.745313e-01 -0.8064934716
## [172,] 2.5518901820 -3.745313e-01 -0.8064934716
## [173,] -0.7329157442 4.252612e-02 -0.2458263403
## [174,] -0.8664931174 5.807425e-01 -0.4318095737
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## [1015,] -0.8417094232 -3.142396e-01 1.9417330050
## [1016,] -0.7478171716 4.605647e-01 0.6371431674
## [1017,] -0.0576344431 -6.028727e-01 -0.5421562066
## [1018,] -0.7309829468 3.469011e-01 0.4123701968
## [1019,] 0.4118841259 -1.656100e+00 2.4446054404
## [1020,] -0.4075838267 -7.471711e-01 0.2076979823
## [1021,] -0.1139740464 -5.025609e-01 -0.3063664667
## [1022,] -0.7062187956 -1.089760e+00 0.0915974897
## [1023,] 2.4056748547 5.878669e+00 6.2631798216
## [1024,] 0.9923457106 -7.751769e-02 0.3265571883
## [1025,] -0.9301007675 1.656614e+00 0.3787777833
## [1026,] -1.0595737600 1.276946e-01 -1.3328200567
## [1027,] -0.8437110728 3.039611e-01 0.9103303320
## [1028,] -1.0556731267 -6.557795e-01 -0.8029083886
## [1029,] -0.1098473984 1.937882e+00 0.4355253998
## [1030,] -0.8731043371 2.837342e-01 0.3762862919
## [1031,] -0.0607619355 -1.309325e+00 0.2632462575
## [1032,] -0.0633064828 -1.294742e+00 0.2307691344
## [1033,] 0.5119715170 -8.780441e-01 0.0845408141
## [1034,] -1.1288738560 -5.475519e-01 1.6602889917
## [1035,] 1.6944494360 5.400794e-02 -0.9785585757
## [1036,] -1.6146906171 3.731107e-01 -0.8876174354
## [1037,] -0.2645624331 -1.092547e-01 0.7092389363
## [1038,] 0.1218764548 -1.150672e+00 -0.4601354010
## [1039,] 0.1455206230 -2.059336e+00 -0.0853029205
## [1040,] -0.6435831428 -1.014130e-01 1.6113482952
## [1041,] -1.4480346139 6.316099e-01 -0.7800026724
## [1042,] -1.0140361649 2.737590e-01 -0.3372255018
## [1043,] -0.9291617621 -1.093671e-01 1.2092008571
## [1044,] -0.0645575755 -1.253220e-01 1.0988977806
## [1045,] -1.4381248651 1.497744e+00 -0.2722013946
## [1046,] -0.0645575755 -1.253220e-01 1.0988977806
## [1047,] -0.9610583683 1.508448e+00 -0.5008843403
## [1048,] 0.2956094182 3.994001e-01 -1.9588779304
## [1049,] -1.2528817006 3.900228e-01 -0.2796669401
## [1050,] 0.4594588536 -1.038376e+00 1.2193215713
## [1051,] -1.3408823884 -5.331974e-01 -0.2669356803
## [1052,] 2.3457482499 4.811460e+00 5.4073717848
## [1053,] -1.4690374779 -1.766616e+00 0.9755425577
## [1054,] 2.3457482499 4.811460e+00 5.4073717848
## [1055,] -1.4690374779 -1.766616e+00 0.9755425577
## [1056,] -0.6156091893 2.507509e+00 -0.4621903400
## [1057,] 0.7958019593 -6.088553e-01 0.2363001073
## [1058,] -1.7061719040 -4.453316e-01 -0.5623210594
## [1059,] 0.7958019593 -6.088553e-01 0.2363001073
## [1060,] 0.0862200727 -1.330634e+00 -0.6635489960
## [1061,] -0.7427980731 1.934969e-01 -0.7990321872
## [1062,] -0.7774525822 -9.285681e-03 -0.6154812190
## [1063,] -1.2632713761 -5.221205e-01 -0.1631246034
## [1064,] -1.8207860134 -7.053451e-01 -0.4643434683
## [1065,] -0.2316594117 -1.949555e+00 -0.1682502361
## [1066,] -1.6721872218 -4.888319e-01 -0.7957221965
## [1067,] -0.2103453399 -1.019959e-01 0.2374240761
## [1068,] -0.8582633114 -1.458745e+00 0.2615796700
## [1069,] -0.6873966028 -9.985852e-01 0.2823603739
## [1070,] -1.1784944680 2.394112e-01 -0.7174689341
## [1071,] -1.1784944680 2.394112e-01 -0.7174689341
## [1072,] -0.0810856433 1.519510e+00 0.2880444308
## [1073,] -0.5019819771 -9.083174e-01 -0.0337522563
## [1074,] 0.2024215526 -8.631789e-01 -0.5490462489
## [1075,] -1.3316379152 3.093410e-01 -0.8755444461
## [1076,] -1.2570444542 3.526819e-01 -0.8546969697
## [1077,] 0.2024215526 -8.631789e-01 -0.5490462489
## [1078,] 0.5559505632 -1.042067e+00 0.6510283676
## [1079,] 0.1728778321 -2.044500e+00 -0.1991172319
## [1080,] -0.5002029019 -7.801004e-01 1.3500667692
## [1081,] -0.8620295830 5.088819e-01 0.1023709097
## [1082,] -0.5742710856 1.545790e+00 0.5134372838
## [1083,] -0.5742710856 1.545790e+00 0.5134372838
## [1084,] -0.8785477518 -6.850271e-01 1.2966531553
## [1085,] 0.1107692670 -5.964536e-01 -0.4899060389
## [1086,] -0.9657846173 6.494848e-01 -0.1726139114
## [1087,] -0.2399171720 -1.365174e+00 1.5501060479
## [1088,] -0.5804128298 -4.693850e-01 0.9693065664
## [1089,] -0.7204596138 -4.090428e-01 0.2376289335
## [1090,] -0.6305791549 -4.123973e-01 0.2572730491
## [1091,] 0.4682724490 -8.808368e-01 0.6927198202
## [1092,] -1.0281598173 5.884915e-01 1.6144854486
## [1093,] -0.8794228935 -9.022777e-01 -0.1088932867
## [1094,] -1.2401617100 4.461720e-01 0.1535194081
## [1095,] -0.3694375048 -3.489396e-01 0.0607440007
## [1096,] -0.1032583633 -3.095846e-01 1.1501063999
## [1097,] -1.0189069772 -4.961587e-01 0.0016588787
## [1098,] -0.6834355697 -7.134492e-02 -0.1062566967
## [1099,] -1.2942761715 6.700908e-02 0.2161596484
## [1100,] -0.9040525376 5.671209e-01 0.6056245568
## [1101,] 0.5786981163 -1.225805e+00 0.0671559286
## [1102,] -0.6165140842 -4.163329e-01 -0.0334215910
## [1103,] -0.8814077963 -2.942329e-02 -0.0505048175
## [1104,] 1.2809653942 -1.464814e-01 -0.3540407450
## [1105,] -0.1698195024 -1.389478e+00 0.2674257476
## [1106,] -0.9179644674 9.062172e-01 -0.1207508094
## [1107,] -1.2188545077 8.496819e-01 1.6541984027
## [1108,] -0.8575125037 9.452515e-01 -0.1800623561
## [1109,] -0.8199453147 -5.726601e-01 -0.0181017049
## [1110,] -1.3943184665 9.960649e-01 -0.6041598921
## [1111,] -1.3919288753 9.476731e-01 -0.2368294180
## [1112,] 0.1096794018 2.353134e+00 4.5419348805
## [1113,] -0.2559767210 2.706263e-01 0.5880575555
## [1114,] -0.2559767210 2.706263e-01 0.5880575555
## [1115,] -0.2559767210 2.706263e-01 0.5880575555
## [1116,] -0.7574761471 2.390143e-01 -0.7018910136
## [1117,] -0.7574761471 2.390143e-01 -0.7018910136
## [1118,] -1.0434016517 -2.995802e-01 0.8475354878
## [1119,] 0.3016318485 -1.994428e+00 1.3597623985
## [1120,] -0.7574761471 2.390143e-01 -0.7018910136
## [1121,] -0.6961611328 -6.769267e-02 0.3722503949
## [1122,] -1.2238885460 -7.134654e-01 0.0702509015
## [1123,] -0.1096173546 -2.115000e+00 1.2196694925
## [1124,] -0.7929636377 -8.488270e-01 0.3551267871
## [1125,] -0.5189392707 5.618391e-01 0.9822714264
## [1126,] -1.1948298549 -4.673421e-01 0.4085974182
## [1127,] -0.1151705816 -7.360184e-01 -0.2247840008
## [1128,] 0.6017473943 -1.688646e+00 0.3897571906
## [1129,] -0.9322260489 1.236287e+00 0.7008524089
## [1130,] -0.9080745523 -1.833047e-01 -0.2840965978
## [1131,] -0.2537983892 -1.031459e+00 -0.1572303840
## [1132,] -1.6506875219 1.346245e-01 -0.1322026148
## [1133,] -0.5233549335 -4.759614e-01 1.3233558298
## [1134,] 0.0396382899 -1.463260e+00 1.2944584821
## [1135,] 0.0733177293 -1.394465e+00 2.0261733056
## [1136,] -1.3802623450 -4.313893e-01 0.3492696014
## [1137,] -0.9209055277 -1.171790e+00 1.0323778709
## [1138,] -1.9511641433 -1.295073e-01 0.0296510769
## [1139,] -0.7994519869 -3.943542e-01 1.3400831682
## [1140,] -0.7654845877 -1.246632e-01 1.0399233654
## [1141,] -1.2745171371 -4.831247e-02 1.1218938498
## [1142,] -1.2104174167 -3.780173e-01 2.1151509567
## [1143,] -1.3325606019 -1.054846e-01 1.4158431498fa function
FA <- fa(scale_data,
covar = TRUE,
nfactors = 3,
rotate = "none",
fm = "pa")## maximum iteration exceededload <- FA$loadings
load##
## Loadings:
## PA1 PA2 PA3
## fixed.acidity 0.975 0.168 -0.333
## volatile.acidity -0.405 0.547 -0.242
## citric.acid 0.822 -0.316 0.163
## residual.sugar 0.283 0.464 0.543
## free.sulfur.dioxide 0.290
## density 0.616 0.441
## pH -0.652 0.113
## sulphates 0.292 -0.215 0.133
##
## PA1 PA2 PA3
## SS loadings 2.767 0.887 0.606
## Proportion Var 0.346 0.111 0.076
## Cumulative Var 0.346 0.457 0.533FA$scores## PA1 PA2 PA3
## [1,] -0.9037588651 0.8435290007 -0.5864530739
## [2,] -0.6964868221 1.2303564765 -0.5413613479
## [3,] -0.6786139171 0.8317121197 -0.5067146034
## [4,] 1.6787462263 -0.5877808633 -0.6855602127
## [5,] -0.9037588651 0.8435290007 -0.5864530739
## [6,] -0.8954121336 0.7426983256 -0.5585545007
## [7,] -0.6453201803 0.3071892147 -0.7520094790
## [8,] -0.8945833990 0.1631766587 -1.1612290452
## [9,] -0.6608420548 0.4977578539 -0.6587504235
## [10,] -1.1971925572 -0.1570343242 0.1477879754
## [11,] -1.5920132181 -0.1851714609 -0.0902229454
## [12,] -0.0756710992 -0.5761854357 0.1755929022
## [13,] 0.5214549595 -1.3938645241 0.8911161947
## [14,] 0.0138345977 -1.6875600012 1.3125333959
## [15,] -0.2601134862 -0.3556813671 0.7786526924
## [16,] -0.3604602212 -0.6380960299 0.0329431783
## [17,] -0.2780289351 0.2536586953 -0.4591857495
## [18,] -0.8065636111 -0.2430116048 0.6449006684
## [19,] -1.2550710183 -0.9948471095 0.5426680756
## [20,] -0.5275503848 -0.6812321100 0.1401737842
## [21,] -1.0478021078 0.7050590082 -0.4402669075
## [22,] -0.6514092704 0.6458719064 -0.8986627609
## [23,] -1.1059180375 0.2826548205 0.1304605257
## [24,] -0.3198046884 0.4552491326 -0.4797165747
## [25,] -1.6810284536 -1.5182882015 1.7666450325
## [26,] -0.4737029804 1.9271226886 0.7149666969
## [27,] -0.5105911773 0.4100248309 -0.2003645008
## [28,] -0.1496248783 -0.5957417872 0.2992581958
## [29,] -0.0922612820 0.3755994731 2.3883467892
## [30,] 0.1499926048 0.3799127368 -0.0165452117
## [31,] -0.5036185969 -0.2658132709 0.5358490897
## [32,] -0.0317561546 0.0487044283 -0.2498915117
## [33,] -1.6184049285 -0.8157039334 0.6673202059
## [34,] -0.2933883202 0.0490093667 0.4275599104
## [35,] -0.0116859115 0.0215212961 -0.6230855809
## [36,] -1.1220565471 -0.0651628691 0.0716320315
## [37,] -1.1308881008 -0.1601161195 0.0381303675
## [38,] 0.2630368299 -0.2909026659 0.6823793988
## [39,] -0.4412678926 0.0096569152 0.3493840082
## [40,] 1.2056046863 -0.4056362142 0.2576871051
## [41,] -0.4122497680 0.3102537574 -0.0229429140
## [42,] -0.4564271760 -0.6940366854 0.6474445719
## [43,] 0.4212340821 -0.3457618861 0.1758229024
## [44,] -0.2365093155 -0.7574930668 0.7328329217
## [45,] -1.0519321956 0.4990270698 -0.2612100989
## [46,] -0.7477061875 1.3367589822 0.3666460751
## [47,] -0.7477061875 1.3367589822 0.3666460751
## [48,] -1.2414505744 0.1189365191 -0.2295296818
## [49,] -0.3629937672 0.5120649953 -0.9810456460
## [50,] -0.5179136988 0.0643997166 -0.2368626907
## [51,] -0.2359436608 0.2639697372 -0.2096438907
## [52,] 0.6824872885 -0.8926885970 0.7273858657
## [53,] -1.1012260546 0.8937295797 -0.3258027280
## [54,] -1.1177186012 0.1793756877 -0.0416741756
## [55,] -0.0966295518 -0.0951443151 -0.2666263267
## [56,] -1.2650547999 -0.9071693158 0.6306219052
## [57,] -0.3210181489 -0.9342907141 1.0425700384
## [58,] -0.6630059486 -1.8433500188 1.6692468740
## [59,] -0.8433893309 -0.1155740145 0.2912000187
## [60,] 0.4116804761 -0.7699628638 0.3107562652
## [61,] -0.3671206560 -0.4034625535 0.0518114598
## [62,] 0.8559317591 -0.6872965134 0.3820153594
## [63,] -1.0709826876 0.3011186405 -0.0269302824
## [64,] -0.2724866246 -0.2748044979 0.2765527158
## [65,] 0.4116804761 -0.7699628638 0.3107562652
## [66,] -0.3671206560 -0.4034625535 0.0518114598
## [67,] -1.7536442720 0.4240060092 -0.2415154223
## [68,] -1.1016489844 0.9751768973 -0.0834434978
## [69,] -0.7483346638 1.1024598156 -0.7086569715
## [70,] -0.3651475413 0.0571679018 -0.2488221773
## [71,] -0.0452147350 0.0338035072 -0.2065603112
## [72,] -0.3651475413 0.0571679018 -0.2488221773
## [73,] -0.3189754932 0.0321068784 -0.2052720848
## [74,] -0.7215418146 -0.4726125759 0.3617926618
## [75,] -0.3189754932 0.0321068784 -0.2052720848
## [76,] 0.2239313916 -2.0271570569 1.7421988868
## [77,] -1.0673270568 -0.7096599301 1.0027501427
## [78,] -0.4039590219 -0.3036143032 -0.0840433758
## [79,] -0.3164045115 0.4213335659 -0.6671330320
## [80,] 1.0929939683 -0.2252401829 -0.1400274304
## [81,] -0.4039590219 -0.3036143032 -0.0840433758
## [82,] 0.4558614806 -0.3313364358 -0.3525459755
## [83,] -0.1207938346 -0.0596080399 -0.1172355248
## [84,] -1.0056766311 0.9253921835 -0.8600615658
## [85,] -0.0924990165 0.5879612901 -1.0819473376
## [86,] -0.9770273372 0.9743182649 -0.3006520073
## [87,] -0.4242632699 -0.1728823631 -0.4093088591
## [88,] -0.5936407728 2.1109261515 -2.3214392946
## [89,] -0.6356681407 2.1217189664 -2.2302670961
## [90,] -0.1981732112 0.0068061886 -0.7201374716
## [91,] 0.0532275512 -0.6234456580 0.7562525494
## [92,] -1.2585718802 -0.4858861977 0.3706460078
## [93,] -0.6957285834 1.2354556043 -1.1069141735
## [94,] -0.2413466865 0.5297046284 -0.8507716395
## [95,] -0.4624705657 -0.8035291889 0.8262088326
## [96,] -0.2413466865 0.5297046284 -0.8507716395
## [97,] -1.2864523353 -0.9876461958 0.0339783056
## [98,] -1.3314028892 -0.7291836724 0.3554616481
## [99,] -1.2864523353 -0.9876461958 0.0339783056
## [100,] 0.0356631000 -0.8040423593 0.7772798134
## [101,] -1.4712976252 0.0044942318 -0.0758092323
## [102,] -0.8861774771 -0.0990217365 0.1599999859
## [103,] -0.3423167418 -1.4392951494 1.0273823892
## [104,] 1.4518014920 -1.9153699072 3.1047874902
## [105,] -0.6625829011 0.2512079814 -0.7411132459
## [106,] -0.6625829011 0.2512079814 -0.7411132459
## [107,] -0.0565293897 0.0982640625 2.4782443084
## [108,] -0.0478387831 0.0990871415 2.4863807113
## [109,] -0.0565293897 0.0982640625 2.4782443084
## [110,] -1.0119375579 0.7236755411 -0.3872222798
## [111,] -0.8423799842 -0.0288182544 0.1871386783
## [112,] -0.9148821254 0.9295997223 -0.9386533972
## [113,] -0.7508354080 0.1243785522 -0.6919725112
## [114,] -0.6197522630 0.2282777407 -0.6331849954
## [115,] -0.0990169235 1.6311218822 2.5605520483
## [116,] -0.1583134101 1.5394234083 2.5786335275
## [117,] -0.2171492776 -0.9233200032 0.5109369137
## [118,] -1.0365714849 0.0549361310 0.0577565432
## [119,] -0.8694063812 0.0927627016 -0.5853204930
## [120,] -0.9683479309 0.1470831376 -0.2760858374
## [121,] -0.8500830758 1.1130425575 -1.1089671677
## [122,] -0.4169287778 -0.1932018662 -0.0622642074
## [123,] -0.7101406371 0.3758248586 -0.4826132345
## [124,] -0.9600602041 -0.2467898976 -0.1656908833
## [125,] -0.6961618532 -0.6168069869 0.3087898184
## [126,] -0.1899110093 -0.5242393559 0.6016345661
## [127,] -1.0617866269 0.9941235195 -0.3976119478
## [128,] -0.0619405556 0.5332043395 -0.6865526968
## [129,] -0.0619405556 0.5332043395 -0.6865526968
## [130,] 0.5201001104 -0.5988002672 0.3028758062
## [131,] -0.9417904181 0.8951736657 -0.2185792572
## [132,] -0.9150009138 -0.1281723662 0.2591740227
## [133,] -0.9706680928 -0.1683931175 0.3591414847
## [134,] 0.5843921512 -1.1673281432 0.6851616030
## [135,] -0.3492379966 -1.1888215172 1.2097973333
## [136,] -0.3379698670 -0.5537544503 0.4321053628
## [137,] -0.0401889557 -0.1497398075 0.7668934267
## [138,] -0.9480363518 -0.7419653805 1.0901060957
## [139,] -0.5759848957 -0.1676569896 0.0929709590
## [140,] -0.5759848957 -0.1676569896 0.0929709590
## [141,] -0.4755015537 -0.2012372582 0.4989648849
## [142,] 2.0047518374 -0.6865372179 -0.7105202241
## [143,] -1.0256938723 1.1108284292 -1.0667249033
## [144,] 0.8348793274 -1.0329193755 -0.3793003276
## [145,] -0.6724061959 -1.1241068323 0.7697598859
## [146,] 2.8016803793 -0.2785471066 -0.9025600982
## [147,] 2.8016803793 -0.2785471066 -0.9025600982
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## [1028,] -0.7443164342 -0.6290722448 -0.3859387800
## [1029,] -0.5665620508 1.2287101964 1.3271181237
## [1030,] -1.1193811185 0.4510218215 -0.0693662850
## [1031,] -0.4465955873 -1.1639709962 0.5703924401
## [1032,] -0.4449733151 -1.2043049792 0.6035397130
## [1033,] -0.0237157846 -0.9644095904 1.1616961287
## [1034,] -0.9008914626 -0.0959278612 -0.2006226373
## [1035,] 1.9359137070 -0.0798358078 -0.7286071305
## [1036,] -1.2346225118 0.5542580651 -0.9269837597
## [1037,] -0.3144457129 -0.4872502420 0.5067036636
## [1038,] 0.2222408421 -1.0722923853 -0.0057519432
## [1039,] 0.0560061700 -1.4966204355 0.1142554021
## [1040,] -1.1208836108 -0.1862064713 1.0059977198
## [1041,] -1.4193298872 0.6357377224 -0.1540989916
## [1042,] -1.0342644181 0.3482866581 -0.2375348321
## [1043,] -0.8941138828 -0.0803965660 0.0618346486
## [1044,] -0.5138208035 -0.5671079207 0.9765537050
## [1045,] -1.1023192581 1.1117136887 -0.3688118982
## [1046,] -0.5138208035 -0.5671079207 0.9765537050
## [1047,] -1.0089777710 1.1071164364 -0.4890627021
## [1048,] 0.2372045105 0.5220280210 -1.9059885753
## [1049,] -0.7756624240 0.5158811807 -0.0436645808
## [1050,] 0.1861186948 -1.4151187435 1.5607104612
## [1051,] -1.2792930122 -0.4627278384 -0.0892843764
## [1052,] 1.9314743692 3.7090243121 5.0795890561
## [1053,] -1.2228123622 -1.0229829691 0.3760593452
## [1054,] 1.9314743692 3.7090243121 5.0795890561
## [1055,] -1.2228123622 -1.0229829691 0.3760593452
## [1056,] -0.8232868266 2.0458777587 1.0041265868
## [1057,] 0.3514085468 -1.1036756198 1.5942890501
## [1058,] -1.5584598985 -0.2303014764 -0.0846363368
## [1059,] 0.3514085468 -1.1036756198 1.5942890501
## [1060,] 0.0840026345 -1.3456885987 0.1020055735
## [1061,] -0.9038031311 0.0001428329 0.0427512132
## [1062,] -0.8863800052 -0.2039683048 0.1642214803
## [1063,] -1.2958585020 -0.1388073633 0.0067446483
## [1064,] -1.4295629356 -0.3748543402 -0.1257468188
## [1065,] -0.1919138861 -2.0303733818 0.7349873590
## [1066,] -1.1855452706 -0.2280459637 -0.6060331055
## [1067,] -0.4195768923 -0.3570228524 0.2041605640
## [1068,] -1.0551820418 -0.9826372024 0.1474449139
## [1069,] -0.8090009205 -0.2807151389 -0.2637227129
## [1070,] -0.9448576175 0.4889312839 -0.5578546783
## [1071,] -0.9448576175 0.4889312839 -0.5578546783
## [1072,] -0.2709668780 0.8071259123 0.8383267064
## [1073,] -0.7982078094 -1.1463593039 1.3280140176
## [1074,] -0.1009291099 -1.4559511832 1.1820298881
## [1075,] -1.1202969329 0.4955963623 -0.5949321013
## [1076,] -1.0119870324 0.5299978705 -0.5976234028
## [1077,] -0.1009291099 -1.4559511832 1.1820298881
## [1078,] -0.2893316379 -1.7239349365 2.0824188341
## [1079,] 0.0880604289 -1.6861460899 0.2554992322
## [1080,] -0.8858473335 -0.7268344218 1.1121268336
## [1081,] -0.9185378389 0.5757954945 -0.1744109382
## [1082,] -0.6935780172 1.1133341486 1.0673233511
## [1083,] -0.6935780172 1.1133341486 1.0673233511
## [1084,] -0.9620810334 -0.2497168711 0.1665054884
## [1085,] -0.3261839825 -1.0461945963 0.9632992889
## [1086,] -1.1272045978 0.4555668283 0.3040173580
## [1087,] -0.9232178928 -1.0944973912 1.5004677797
## [1088,] -0.7348117840 -0.7027942853 0.6438697069
## [1089,] -1.0206464541 -0.2760860493 0.2672600059
## [1090,] -0.9709715861 -0.2584360928 0.2843614250
## [1091,] 0.0474987926 -1.2366800690 1.1681721239
## [1092,] -0.7481740852 0.4560582366 -0.0760986036
## [1093,] -0.9163147915 -0.4616655564 0.0610146557
## [1094,] -1.1885504109 0.3805854945 0.5030031287
## [1095,] -0.7967542227 -0.2738963799 0.1500841109
## [1096,] -0.0915156334 -0.4768621826 0.3575741342
## [1097,] -0.8512364138 -0.3151340573 0.0558906470
## [1098,] -0.8490487713 -0.0993294449 0.1596505098
## [1099,] -1.1181192134 0.1279877983 0.2476783357
## [1100,] -1.0093791571 0.5792299395 1.2264414969
## [1101,] 0.2882686985 -1.0604981933 0.3909869459
## [1102,] -0.8904281912 -0.8190887138 0.6941704129
## [1103,] -0.9690195764 0.1647818898 -0.2414476659
## [1104,] 1.5691648470 -0.2127951721 -0.9005480933
## [1105,] -0.3364596557 -1.1970429159 0.2566666522
## [1106,] -1.0414255849 0.7893955938 -0.0919226903
## [1107,] -1.0349092508 0.8703539339 0.6366348866
## [1108,] -0.9506159396 0.9036177258 -0.3086649616
## [1109,] -0.7042795666 -0.3791912101 -0.1610400262
## [1110,] -1.1895023314 0.8249992597 -0.3398439672
## [1111,] -1.1410889252 0.8900523440 -0.2974882629
## [1112,] -0.2894994431 1.1222094867 3.1891556861
## [1113,] -0.3936468515 -0.1823963486 0.1884755937
## [1114,] -0.3936468515 -0.1823963486 0.1884755937
## [1115,] -0.3936468515 -0.1823963486 0.1884755937
## [1116,] -0.8496180366 0.0924799016 -0.2491728843
## [1117,] -0.8496180366 0.0924799016 -0.2491728843
## [1118,] -0.9524969581 0.1569638983 -0.3154041873
## [1119,] -0.2079907919 -2.4591486547 2.0695620901
## [1120,] -0.8496180366 0.0924799016 -0.2491728843
## [1121,] -0.9129624671 -0.2051696757 0.1125825103
## [1122,] -1.0787019634 -0.6195932339 0.1523704009
## [1123,] -0.3241974662 -2.0287093299 1.4137787941
## [1124,] -0.9842146374 -0.6615472479 0.5596843809
## [1125,] -0.5119614472 -0.1469578600 0.5594596653
## [1126,] -1.0230000777 -0.4448153210 0.5662881892
## [1127,] -0.2432925470 -0.9445015429 0.4467637816
## [1128,] 0.3085780358 -1.9206124226 0.9837488843
## [1129,] -0.9079141345 0.9293165751 1.4347451651
## [1130,] -0.8999088114 -0.1341830982 -0.1150240784
## [1131,] -0.2692607049 -0.9861264428 0.4500077318
## [1132,] -1.1099365261 0.1119679836 -0.0781499753
## [1133,] -1.0240798982 -0.9522578141 1.3503007856
## [1134,] -0.4296674868 -1.5837316978 1.4947044429
## [1135,] 0.0720289962 -1.2243220106 0.9133843040
## [1136,] -1.3264324496 -0.3762135659 0.3051847461
## [1137,] -0.9294909191 -0.7858512215 0.1555641808
## [1138,] -1.5194878660 -0.1894541694 0.0122093463
## [1139,] -1.0270625290 -0.3177623859 0.7339507749
## [1140,] -0.9055790538 0.1044246354 0.1322989497
## [1141,] -1.1724467289 -0.1293790768 0.2689899446
## [1142,] -1.1369522907 -0.2618469337 0.6802555584
## [1143,] -1.2000597118 -0.1369373527 0.5021976368fa.diagram(FA)
varimax
FA_varimax <- fa(scale_data,
covar = TRUE,
nfactors = 3,
rotate = "varimax",
fm = "pa")## maximum iteration exceededFA_varimax## Factor Analysis using method = pa
## Call: fa(r = scale_data, nfactors = 3, rotate = "varimax", covar = TRUE,
## fm = "pa")
## Standardized loadings (pattern matrix) based upon correlation matrix
## PA1 PA2 PA3 h2 u2 com
## fixed.acidity 0.98 0.31 -0.19 1.089 -0.089 1.3
## volatile.acidity 0.01 -0.72 0.01 0.522 0.478 1.0
## citric.acid 0.47 0.76 0.03 0.803 0.197 1.7
## residual.sugar 0.31 0.00 0.70 0.591 0.409 1.4
## free.sulfur.dioxide -0.13 0.02 0.28 0.094 0.906 1.4
## density 0.73 0.02 0.21 0.574 0.426 1.2
## pH -0.55 -0.35 0.09 0.438 0.562 1.8
## sulphates 0.10 0.37 0.03 0.150 0.850 1.2
##
## PA1 PA2 PA3
## SS loadings 2.14 1.46 0.66
## Proportion Var 0.27 0.18 0.08
## Cumulative Var 0.27 0.45 0.53
## Proportion Explained 0.50 0.34 0.16
## Cumulative Proportion 0.50 0.84 1.00
##
## Mean item complexity = 1.4
## Test of the hypothesis that 3 factors are sufficient.
##
## df null model = 28 with the objective function = 2.83 with Chi Square = 3216.28
## df of the model are 7 and the objective function was 0.1
##
## The root mean square of the residuals (RMSR) is 0.02
## The df corrected root mean square of the residuals is 0.04
##
## The harmonic n.obs is 1143 with the empirical chi square 15.13 with prob < 0.034
## The total n.obs was 1143 with Likelihood Chi Square = 115.05 with prob < 8.2e-22
##
## Tucker Lewis Index of factoring reliability = 0.864
## RMSEA index = 0.116 and the 90 % confidence intervals are 0.098 0.135
## BIC = 65.76
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy
## PA1 PA2 PA3
## Correlation of (regression) scores with factors 0.98 0.88 0.81
## Multiple R square of scores with factors 0.96 0.77 0.66
## Minimum correlation of possible factor scores 0.93 0.55 0.32FA_varimax$loadings##
## Loadings:
## PA1 PA2 PA3
## fixed.acidity 0.977 0.311 -0.195
## volatile.acidity -0.722
## citric.acid 0.474 0.760
## residual.sugar 0.314 0.701
## free.sulfur.dioxide -0.128 0.278
## density 0.727 0.214
## pH -0.553 -0.351
## sulphates 0.373
##
## PA1 PA2 PA3
## SS loadings 2.138 1.459 0.664
## Proportion Var 0.267 0.182 0.083
## Cumulative Var 0.267 0.450 0.533fa.diagram(FA_varimax)