Load Library

library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.2.0     ✔ readr     2.2.0
## ✔ forcats   1.0.1     ✔ stringr   1.6.0
## ✔ ggplot2   4.0.2     ✔ tibble    3.3.1
## ✔ lubridate 1.9.5     ✔ tidyr     1.3.2
## ✔ purrr     1.2.1     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ 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 errors
library(psych)
## 
## Attaching package: 'psych'
## 
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
library(FactoMineR)
library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(MVN)
## 
## Attaching package: 'MVN'
## 
## The following object is masked from 'package:psych':
## 
##     mardia

Load Data

data <- read.csv("MetroPT3_Dataset.csv")
head(data)
##    X           timestamp    TP2   TP3    H1 DV_pressure Reservoirs
## 1  0 2020-02-01 00:00:00 -0.012 9.358 9.340      -0.024      9.358
## 2 10 2020-02-01 00:00:10 -0.014 9.348 9.332      -0.022      9.348
## 3 20 2020-02-01 00:00:19 -0.012 9.338 9.322      -0.022      9.338
## 4 30 2020-02-01 00:00:29 -0.012 9.328 9.312      -0.022      9.328
## 5 40 2020-02-01 00:00:39 -0.012 9.318 9.302      -0.022      9.318
## 6 50 2020-02-01 00:00:49 -0.012 9.306 9.290      -0.024      9.308
##   Oil_temperature Motor_current COMP DV_eletric Towers MPG LPS Pressure_switch
## 1          53.600        0.0400    1          0      1   1   0               1
## 2          53.675        0.0400    1          0      1   1   0               1
## 3          53.600        0.0425    1          0      1   1   0               1
## 4          53.425        0.0400    1          0      1   1   0               1
## 5          53.475        0.0400    1          0      1   1   0               1
## 6          53.500        0.0400    1          0      1   1   0               1
##   Oil_level Caudal_impulses
## 1         1               1
## 2         1               1
## 3         1               1
## 4         1               1
## 5         1               1
## 6         1               1

Data Cleaning

# Cek struktur data
str(data)
## 'data.frame':    1516948 obs. of  17 variables:
##  $ X              : int  0 10 20 30 40 50 60 70 80 90 ...
##  $ timestamp      : chr  "2020-02-01 00:00:00" "2020-02-01 00:00:10" "2020-02-01 00:00:19" "2020-02-01 00:00:29" ...
##  $ TP2            : num  -0.012 -0.014 -0.012 -0.012 -0.012 ...
##  $ TP3            : num  9.36 9.35 9.34 9.33 9.32 ...
##  $ H1             : num  9.34 9.33 9.32 9.31 9.3 ...
##  $ DV_pressure    : num  -0.024 -0.022 -0.022 -0.022 -0.022 ...
##  $ Reservoirs     : num  9.36 9.35 9.34 9.33 9.32 ...
##  $ Oil_temperature: num  53.6 53.7 53.6 53.4 53.5 ...
##  $ Motor_current  : num  0.04 0.04 0.0425 0.04 0.04 ...
##  $ COMP           : num  1 1 1 1 1 1 1 1 1 1 ...
##  $ DV_eletric     : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Towers         : num  1 1 1 1 1 1 1 1 1 1 ...
##  $ MPG            : num  1 1 1 1 1 1 1 1 1 1 ...
##  $ LPS            : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ Pressure_switch: num  1 1 1 1 1 1 1 1 1 1 ...
##  $ Oil_level      : num  1 1 1 1 1 1 1 1 1 1 ...
##  $ Caudal_impulses: num  1 1 1 1 1 1 1 1 1 1 ...
summary(data)
##        X             timestamp              TP2              TP3        
##  Min.   :       0   Length:1516948     Min.   :-0.032   Min.   : 0.730  
##  1st Qu.: 3792368   Class :character   1st Qu.:-0.014   1st Qu.: 8.492  
##  Median : 7584735   Mode  :character   Median :-0.012   Median : 8.960  
##  Mean   : 7584735                      Mean   : 1.368   Mean   : 8.985  
##  3rd Qu.:11377103                      3rd Qu.:-0.010   3rd Qu.: 9.492  
##  Max.   :15169470                      Max.   :10.676   Max.   :10.302  
##        H1          DV_pressure         Reservoirs     Oil_temperature
##  Min.   :-0.036   Min.   :-0.03200   Min.   : 0.712   Min.   :15.40  
##  1st Qu.: 8.254   1st Qu.:-0.02200   1st Qu.: 8.494   1st Qu.:57.77  
##  Median : 8.784   Median :-0.02000   Median : 8.960   Median :62.70  
##  Mean   : 7.568   Mean   : 0.05596   Mean   : 8.985   Mean   :62.64  
##  3rd Qu.: 9.374   3rd Qu.:-0.01800   3rd Qu.: 9.492   3rd Qu.:67.25  
##  Max.   :10.288   Max.   : 9.84400   Max.   :10.300   Max.   :89.05  
##  Motor_current        COMP         DV_eletric         Towers      
##  Min.   :0.020   Min.   :0.000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.040   1st Qu.:1.000   1st Qu.:0.0000   1st Qu.:1.0000  
##  Median :0.045   Median :1.000   Median :0.0000   Median :1.0000  
##  Mean   :2.050   Mean   :0.837   Mean   :0.1606   Mean   :0.9198  
##  3rd Qu.:3.808   3rd Qu.:1.000   3rd Qu.:0.0000   3rd Qu.:1.0000  
##  Max.   :9.295   Max.   :1.000   Max.   :1.0000   Max.   :1.0000  
##       MPG              LPS          Pressure_switch    Oil_level     
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:1.0000   1st Qu.:0.00000   1st Qu.:1.0000   1st Qu.:1.0000  
##  Median :1.0000   Median :0.00000   Median :1.0000   Median :1.0000  
##  Mean   :0.8327   Mean   :0.00342   Mean   :0.9914   Mean   :0.9042  
##  3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.:1.0000   3rd Qu.:1.0000  
##  Max.   :1.0000   Max.   :1.00000   Max.   :1.0000   Max.   :1.0000  
##  Caudal_impulses 
##  Min.   :0.0000  
##  1st Qu.:1.0000  
##  Median :1.0000  
##  Mean   :0.9371  
##  3rd Qu.:1.0000  
##  Max.   :1.0000
# Mengambil Variabel Numerik Saja
num_data <- data %>% select(where(is.numeric))
# Hapus kolom varians nol
num_data <- num_data[, apply(num_data, 2, var) != 0]
library(caret)
## Loading required package: lattice
## 
## Attaching package: 'caret'
## The following object is masked from 'package:purrr':
## 
##     lift
# Cari korelasi
cor_matrix <- cor(num_data)

# Buang variabel dengan korelasi tinggi
high_corr <- findCorrelation(cor_matrix, cutoff = 0.95)

num_data <- num_data[, -high_corr]
# Hapus baris NaN 
num_data <- na.omit(num_data)
dim(num_data)
## [1] 1516948      12
# Statistik deskriptif
describe(num_data)
##                 vars       n       mean         sd     median   min         max
## X                  1 1516948 7584735.00 4379053.12 7584735.00  0.00 15169470.00
## TP2                2 1516948       1.37       3.25      -0.01 -0.03       10.68
## TP3                3 1516948       8.98       0.64       8.96  0.73       10.30
## DV_pressure        4 1516948       0.06       0.38      -0.02 -0.03        9.84
## Oil_temperature    5 1516948      62.64       6.52      62.70 15.40       89.05
## Motor_current      6 1516948       2.05       2.30       0.04  0.02        9.30
## DV_eletric         7 1516948       0.16       0.37       0.00  0.00        1.00
## Towers             8 1516948       0.92       0.27       1.00  0.00        1.00
## LPS                9 1516948       0.00       0.06       0.00  0.00        1.00
## Pressure_switch   10 1516948       0.99       0.09       1.00  0.00        1.00
## Oil_level         11 1516948       0.90       0.29       1.00  0.00        1.00
## Caudal_impulses   12 1516948       0.94       0.24       1.00  0.00        1.00
##                       range   skew kurtosis      se
## X               15169470.00   0.00    -1.20 3555.45
## TP2                   10.71   1.99     2.06    0.00
## TP3                    9.57  -0.88     7.40    0.00
## DV_pressure            9.88   5.72    38.71    0.00
## Oil_temperature       73.65  -0.05    -0.06    0.01
## Motor_current          9.28   0.45    -1.45    0.00
## DV_eletric             1.00   1.85     1.42    0.00
## Towers                 1.00  -3.09     7.56    0.00
## LPS                    1.00  17.01   287.40    0.00
## Pressure_switch        1.00 -10.67   111.79    0.00
## Oil_level              1.00  -2.75     5.54    0.00
## Caudal_impulses        1.00  -3.60    10.97    0.00
# Tabel mean & sd
data.frame(
  Mean = colMeans(num_data),
  SD = apply(num_data, 2, sd)
)
##                         Mean           SD
## X               7.584735e+06 4.379053e+06
## TP2             1.367826e+00 3.250930e+00
## TP3             8.984611e+00 6.390951e-01
## DV_pressure     5.595619e-02 3.824015e-01
## Oil_temperature 6.264418e+01 6.516261e+00
## Motor_current   2.050171e+00 2.302053e+00
## DV_eletric      1.606106e-01 3.671716e-01
## Towers          9.198483e-01 2.715280e-01
## LPS             3.420025e-03 5.838091e-02
## Pressure_switch 9.914368e-01 9.214078e-02
## Oil_level       9.041556e-01 2.943779e-01
## Caudal_impulses 9.371066e-01 2.427712e-01
# Histogram semua variabel
num_data %>%
  pivot_longer(cols = everything()) %>%
  ggplot(aes(value)) +
  geom_histogram(bins = 30, fill = "skyblue", color = "black") +
  facet_wrap(~name, scales = "free")

Uji Asumsi

Uji Normalitas Multivariat

set.seed(123)
num_sample <- num_data[sample(nrow(num_data), min(1000, nrow(num_data))), ]
mvn(data = num_sample, mvn_test = "hz")
## $multivariate_normality
##            Test Statistic p.value     Method          MVN
## 1 Henze-Zirkler    41.434  <0.001 asymptotic ✗ Not normal
## 
## $univariate_normality
##                Test        Variable Statistic p.value    Normality
## 1  Anderson-Darling               X    10.531  <0.001 ✗ Not normal
## 2  Anderson-Darling             TP2   283.087  <0.001 ✗ Not normal
## 3  Anderson-Darling             TP3     5.299  <0.001 ✗ Not normal
## 4  Anderson-Darling     DV_pressure   352.099  <0.001 ✗ Not normal
## 5  Anderson-Darling Oil_temperature     1.216   0.004 ✗ Not normal
## 6  Anderson-Darling   Motor_current   121.077  <0.001 ✗ Not normal
## 7  Anderson-Darling      DV_eletric   293.439  <0.001 ✗ Not normal
## 8  Anderson-Darling          Towers   336.579  <0.001 ✗ Not normal
## 9  Anderson-Darling             LPS   384.157  <0.001 ✗ Not normal
## 10 Anderson-Darling Pressure_switch   382.470  <0.001 ✗ Not normal
## 11 Anderson-Darling       Oil_level   337.233  <0.001 ✗ Not normal
## 12 Anderson-Darling Caudal_impulses   356.925  <0.001 ✗ Not normal
## 
## $descriptives
##           Variable    n        Mean     Std.Dev      Median      Min
## 1                X 1000 7540408.440 4374842.584 7573070.000 6730.000
## 2              TP2 1000       1.310       3.183      -0.012   -0.028
## 3              TP3 1000       8.979       0.671       8.986    2.948
## 4      DV_pressure 1000       0.049       0.358      -0.020   -0.028
## 5  Oil_temperature 1000      62.441       6.458      62.550   29.025
## 6    Motor_current 1000       2.006       2.289       0.042    0.022
## 7       DV_eletric 1000       0.155       0.362       0.000    0.000
## 8           Towers 1000       0.911       0.285       1.000    0.000
## 9              LPS 1000       0.006       0.077       0.000    0.000
## 10 Pressure_switch 1000       0.990       0.100       1.000    0.000
## 11       Oil_level 1000       0.912       0.283       1.000    0.000
## 12 Caudal_impulses 1000       0.943       0.232       1.000    0.000
##             Max        25th         75th   Skew Kurtosis
## 1  15127860.000 3838577.500 11251107.500  0.018    1.818
## 2        10.502      -0.014       -0.010  2.051    5.340
## 3        10.216       8.506        9.471 -1.711   15.892
## 4         2.592      -0.022       -0.018  5.309   30.118
## 5        81.350      57.519       66.850 -0.118    3.224
## 6         6.295       0.040        3.808  0.478    1.574
## 7         1.000       0.000        0.000  1.907    4.635
## 8         1.000       1.000        1.000 -2.887    9.334
## 9         1.000       0.000        0.000 12.793  164.673
## 10        1.000       1.000        1.000 -9.849   98.010
## 11        1.000       1.000        1.000 -2.909    9.460
## 12        1.000       1.000        1.000 -3.822   15.604
## 
## $data
##                X    TP2    TP3 DV_pressure Oil_temperature Motor_current
## 1237518 12375170 -0.012  9.436      -0.016          72.250        3.7225
## 134058   1340570 -0.010  9.840      -0.016          63.375        3.7400
## 1172598 11725970  6.780  6.316      -0.008          79.000        5.1475
## 685285   6852840 -0.014  8.974      -0.022          53.425        0.0425
## 1274894 12748930 -0.014  9.718      -0.022          67.075        3.8250
## 1413785 14137840 -0.012  8.936      -0.020          62.600        0.0425
## 1242203 12422020 -0.012  8.908      -0.022          69.150        3.7650
## 497690   4976890 -0.014  8.528      -0.020          55.600        0.0400
## 402858   4028570 -0.016  8.930      -0.024          54.700        0.0425
## 583422   5834210 -0.014  9.728      -0.024          65.025        3.9225
## 1231780 12317790 -0.010  9.708      -0.018          71.275        3.7425
## 883281   8832800 -0.008  9.510      -0.018          68.800        3.6675
## 669543   6695420 -0.012  9.730      -0.022          62.200        3.9050
## 1325900 13258990 -0.012  9.208      -0.020          66.750        0.0450
## 944672   9446710 10.322  9.938      -0.022          70.225        6.1825
## 613997   6139960  9.918  9.496      -0.020          55.600        6.1975
## 402313   4023120 -0.016  8.470      -0.024          52.575        0.0425
## 554826   5548250 -0.014  9.112      -0.024          59.200        0.0425
## 1498011 14980100  9.986  9.608      -0.018          66.550        6.0125
## 401205   4012040 -0.026 10.110      -0.026          68.875        3.8500
## 377049   3770480 -0.014  9.604      -0.026          66.975        3.8350
## 90077     900760 -0.010  9.040      -0.016          57.000        0.0375
## 268360   2683590 -0.010  9.558      -0.022          66.275        3.6850
## 738879   7388780 -0.012  8.400      -0.022          54.850        0.0425
## 815826   8158250 -0.010  8.168      -0.018          64.600        0.0400
## 53241     532400 -0.014  9.708      -0.022          58.600        3.6850
## 368917   3689160 -0.014  8.710      -0.026          58.025        0.0350
## 917545   9175440 -0.012  8.546      -0.018          61.675        0.0400
## 931930   9319290 -0.014  8.498      -0.024          60.475        0.0425
## 990324   9903230 -0.012  8.552      -0.022          63.525        0.0450
## 707016   7070150 -0.012  9.644      -0.022          62.675        3.7600
## 1404758 14047570 -0.014  8.446      -0.020          55.600        0.0425
## 451743   4517420 -0.012  8.084      -0.022          57.450        0.0450
## 994513   9945120 -0.012  9.442      -0.020          68.025        3.8050
## 1419058 14190570  9.646  9.228      -0.020          62.425        6.0175
## 1091618 10916170 -0.012  9.430      -0.020          66.775        3.9100
## 208909   2089080 -0.012  8.690      -0.022          55.100        0.0375
## 268278   2682770 -0.014  8.704      -0.022          58.500        0.0425
## 1438809 14388080 -0.010  9.048      -0.016          65.850        0.0425
## 140712   1407110 -0.010  9.502      -0.018          59.550        0.0425
## 1002782 10027810 -0.010  9.302      -0.018          68.350        3.6000
## 783007   7830060  4.622  4.048      -0.026          29.025        5.1675
## 157582   1575810 -0.010  9.248      -0.016          59.100        3.7525
## 407619   4076180 -0.014  8.988      -0.020          58.775        0.0400
## 1506294 15062930 -0.012  8.712      -0.018          62.050        0.0400
## 1355941 13559400 -0.010  9.388      -0.020          66.350        3.6600
## 517171   5171700 -0.014  8.554      -0.024          56.500        0.0400
## 638130   6381290 -0.014  9.262      -0.024          57.625        0.0425
## 633068   6330670 -0.014  8.210      -0.022          55.625        0.0450
## 117066   1170650 10.228  9.958      -0.014          60.025        6.1075
## 1405055 14050540  9.928  9.538      -0.020          61.900        6.1375
## 747732   7477310 -0.012  9.650      -0.022          62.200        3.8150
## 864017   8640160 -0.010  9.826      -0.018          69.625        3.6775
## 1381283 13812820 -0.012  9.198      -0.020          65.675        3.6975
## 506734   5067330 -0.018  9.902      -0.024          63.075        3.8500
## 1212254 12122530 -0.008  9.214      -0.014          67.650        0.0425
## 933656   9336550 -0.014  8.286      -0.020          60.775        0.0425
## 1074135 10741340  8.484  8.092      -0.020          58.300        5.7300
## 669575   6695740 -0.012  9.304      -0.022          60.300        0.0425
## 1464986 14649850 -0.008  9.614      -0.018          63.150        3.9525
## 352238   3522370 -0.016  9.032      -0.022          58.000        0.0400
## 407707   4077060 -0.016  8.070      -0.022          55.025        0.0400
## 607237   6072360 -0.014  8.224      -0.020          52.825        0.0400
## 339728   3397270 -0.014  9.216      -0.024          54.175        0.0425
## 1351223 13512220 -0.012  8.682      -0.022          60.500        0.0425
## 690084   6900830 -0.014  8.360      -0.018          56.875        0.0400
## 759022   7590210 -0.010  9.152      -0.016          67.950        3.8225
## 1197017 11970160 -0.010  9.086      -0.016          68.325        3.5950
## 424758   4247570  8.848  8.690       0.724          74.000        5.7025
## 452322   4523210 -0.012  9.076      -0.020          61.900        0.0425
## 1004109 10041080 -0.012  8.336      -0.018          62.775        0.0400
## 1220280 12202790  9.320  8.906      -0.018          65.350        5.9900
## 1275759 12757580  9.704  9.296      -0.022          65.575        6.1075
## 436420   4364190 -0.014  9.692      -0.026          67.325        3.8500
## 37544     375430 -0.014  8.310      -0.020          55.025        0.0375
## 1278937 12789360 -0.010  9.222      -0.016          68.350        3.7275
## 1040728 10407270 -0.014  8.196      -0.018          61.675        0.0400
## 1395147 13951460 -0.018 10.102      -0.018          71.550        3.7750
## 994324   9943230 -0.012  8.894      -0.018          67.750        0.0450
## 475331   4753300 -0.014  9.598      -0.024          66.350        3.7950
## 1291116 12911150 -0.012  9.064      -0.020          66.150        0.0375
## 1403057 14030560 -0.012  9.166      -0.018          65.075        0.0425
## 650043   6500420 -0.010  9.046      -0.016          64.275        0.0400
## 1308171 13081700 -0.012  8.770      -0.020          61.350        0.0425
## 484654   4846530 -0.012  9.254      -0.020          66.575        3.8175
## 1347437 13474360 -0.010  8.980      -0.016          64.850        0.0425
## 125547   1255460 -0.008  9.244      -0.016          60.875        3.6525
## 814510   8145090 -0.010  8.168      -0.018          64.600        0.0400
## 331513   3315120 -0.016  8.176      -0.026          49.325        0.0425
## 484780   4847790 -0.012  8.438      -0.022          61.900        0.0450
## 249261   2492600 -0.008  9.106      -0.020          70.050        3.7825
## 1352208 13522070 -0.010  8.832      -0.020          64.675        0.0425
## 1489277 14892760 -0.014  8.620      -0.022          60.725        0.0400
## 63528     635270 -0.010  8.086      -0.016          58.175        0.0350
## 506378   5063770 -0.014  9.624      -0.024          61.075        3.9300
## 1131645 11316440 -0.012  8.486      -0.022          61.775        0.0425
## 1362185 13621840 -0.012  8.882      -0.018          63.950        0.0400
## 419719   4197180 -0.016  8.242      -0.024          56.700        0.0425
## 1414039 14140380 -0.014  8.294      -0.020          60.300        0.0425
## 32953     329520 -0.016  9.774      -0.022          62.700        3.7400
## 1190410 11904090 -0.008  8.154      -0.016          66.525        0.0375
## 1358902 13589010 -0.012  8.192      -0.020          58.075        0.0425
## 817003   8170020 -0.010  8.168      -0.018          64.600        0.0400
## 697881   6978800 -0.018  9.812      -0.022          64.175        3.7775
## 1254170 12541690 -0.012  9.238      -0.020          65.825        3.7325
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## 432480   4324790 -0.022 10.036      -0.024          70.050        3.9300
## 453441   4534400 -0.014  8.660      -0.024          58.675        0.0425
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## 1278469 12784680 -0.008  9.846      -0.016          72.800        3.6700
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## 658007   6580060 -0.018 10.020      -0.018          71.550        3.5250
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## 38582     385810 -0.010  8.468      -0.020          55.725        0.0375
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## 1398296 13982950 10.452 10.086      -0.022          64.875        6.2050
## 890014   8900130 -0.014  9.200      -0.022          66.450        0.0425
## 847550   8475490 -0.012  8.842      -0.020          62.775        0.0425
## 1251695 12516940  7.162  8.348      -0.018          60.775        5.5400
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## 804143   8041420 -0.010  8.936      -0.020          67.350        3.7750
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## 859603   8596020 -0.016  8.080      -0.022          58.500        0.0400
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## 1454239 14542380 -0.012  9.986      -0.018          73.850        3.6225
## 384289   3842880 -0.012  9.100      -0.022          59.800        0.0425
## 992060   9920590 -0.024 10.078      -0.022          71.975        3.6975
## 489093   4890920 -0.012  8.802      -0.020          60.400        0.0425
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## 1245153 12451520 -0.010  9.688      -0.014          71.550        3.7000
## 1037318 10373170 -0.014  9.184      -0.022          62.675        0.0425
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## 1129226 11292250  9.674  9.276      -0.016          67.625        5.9925
## 757376   7573750 -0.026 10.068      -0.022          67.875        3.8725
## 1011459 10114580 -0.012  8.410      -0.018          62.825        0.0400
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## 74686     746850 -0.012  8.150      -0.022          53.300        0.0400
## 904028   9040270  8.078  7.848       2.092          75.275        5.6175
## 243185   2431840 -0.010  9.750      -0.024          68.950        3.8275
## 1180311 11803100 -0.008  8.648      -0.012          67.325        0.0350
## 489619   4896180 -0.012  8.878      -0.018          60.925        0.0425
## 458444   4584430 -0.016  8.106      -0.022          55.900        0.0425
## 101266   1012650 -0.010  8.190      -0.016          58.100        0.0350
## 1108619 11086180 -0.012  9.106      -0.018          66.850        0.0450
## 86011     860100 -0.010  8.624      -0.014          59.675        0.0325
## 895065   8950640  8.370  8.202       2.230          75.125        5.6400
## 1420493 14204920 -0.026 10.078      -0.020          68.650        3.8900
## 1377049 13770480 -0.024 10.166      -0.020          71.500        3.8100
## 1448393 14483920 -0.010  8.594      -0.018          62.675        0.0425
## 945980   9459790 -0.012  9.694      -0.022          68.600        3.8350
## 153304   1533030 -0.010  9.552      -0.022          52.225        3.7550
## 614860   6148590 -0.012  9.958      -0.022          64.575        3.8325
## 949993   9499920 -0.012  9.314      -0.020          67.075        0.0450
## 245785   2457840 -0.010  9.734      -0.024          69.100        3.7675
## 549893   5498920 -0.016  8.184      -0.024          53.225        0.0400
## 900689   9006880  7.748  7.798       2.026          77.275        5.4450
## 100403   1004020 -0.008  8.784      -0.016          58.875        0.0350
## 306432   3064310 -0.018  8.386      -0.024          54.675        0.0425
## 16007     160060 -0.012  8.248      -0.020          54.875        0.0375
## 921306   9213050 -0.014  9.898      -0.022          69.350        3.7275
## 316759   3167580 -0.014  9.122      -0.022          61.975        0.0425
## 658992   6589910 -0.012  8.318      -0.014          61.450        0.0375
## 87836     878350 -0.008  9.792      -0.014          62.475        3.7150
## 378380   3783790 -0.014  9.362      -0.024          60.125        0.0425
## 1244396 12443950 -0.008  9.042      -0.016          70.350        3.6525
## 147720   1477190 -0.006  9.538      -0.016          60.075        3.7175
## 1471324 14713230 -0.010  9.414      -0.018          67.950        3.6800
## 826160   8261590 -0.012  8.134      -0.020          61.875        0.0400
## 78590     785890 -0.016  9.864      -0.018          61.400        3.7375
## 808685   8086840  9.216  8.794      -0.018          63.850        5.8250
## 1317222 13172210 -0.012  8.376      -0.020          60.600        0.0425
## 1182751 11827500 -0.016  9.790      -0.016          75.300        3.6700
## 666732   6667310 -0.014  9.878      -0.020          64.375        3.7800
## 693917   6939160 -0.014  8.940      -0.022          55.925        0.0400
## 32411     324100 -0.012  9.018      -0.022          54.000        0.0400
## 20316     203150 -0.012  8.300      -0.016          56.525        0.0375
## 761928   7619270 -0.022  9.996      -0.020          68.250        3.7225
## 1029386 10293850  8.390  8.506      -0.014          65.150        5.5750
## 934698   9346970 -0.012  9.268      -0.022          65.975        3.9200
## 84846     848450 -0.010  9.512      -0.012          62.550        3.7225
## 1123403 11234020 -0.010  8.958      -0.018          67.325        0.0400
## 109184   1091830 -0.010  9.608      -0.020          60.975        3.7300
## 1013442 10134410 -0.014  8.488      -0.020          61.350        0.0425
## 1476357 14763560 -0.008  9.056      -0.016          69.125        3.6750
## 1129681 11296800 -0.010  8.724      -0.018          64.375        0.0425
## 959074   9590730 -0.012  8.986      -0.020          63.875        0.0425
## 873602   8736010 10.142  9.766      -0.020          69.600        6.0425
## 1024655 10246540  8.390  8.506      -0.014          65.150        5.5750
## 1512411 15124100 -0.012  9.066      -0.020          63.950        0.0400
## 193314   1933130 -0.012  9.058      -0.016          57.100        0.0375
## 691368   6913670 -0.014  8.152      -0.022          56.325        0.0425
## 989065   9890640 -0.014  9.764      -0.020          71.725        3.7425
## 976589   9765880  9.444  9.026      -0.022          65.325        6.0500
## 1451867 14518660 -0.010  9.048      -0.016          63.500        0.0375
## 1163887 11638860 -0.012  9.358      -0.020          66.550        3.7150
## 780405   7804040  8.030  7.844       2.052          74.875        5.4525
## 587005   5870040 -0.014  9.728      -0.024          65.025        3.9225
## 143853   1438520 -0.010  9.068      -0.018          56.425        0.0375
## 299048   2990470 -0.008  9.100      -0.016          63.975        0.0425
## 1129350 11293490 -0.010  9.514      -0.018          70.550        3.6900
## 515563   5155620 -0.016  8.826      -0.024          56.450        0.0400
## 683798   6837970 -0.012  8.634      -0.022          56.800        0.0400
## 347940   3479390 -0.014  9.188      -0.024          55.775        0.0450
## 971441   9714400 -0.010  9.430      -0.022          67.750        3.6900
## 657398   6573970 -0.014  8.470      -0.018          57.000        0.0400
## 1119193 11191920 -0.010  8.752      -0.016          63.550        0.0375
## 901868   9018670  8.140  7.942       2.100          72.775        5.5900
## 465155   4651540 -0.014  8.074      -0.022          57.050        0.0425
## 1216671 12166700 -0.012  8.176      -0.020          59.750        0.0425
## 774638   7746370 -0.010  8.496      -0.020          62.275        0.0400
## 379895   3798940 -0.018  8.100      -0.024          48.650        0.0400
## 448405   4484040 -0.014  9.346      -0.024          65.825        3.8750
## 1330180 13301790 -0.008  9.238      -0.016          68.450        0.0400
## 630480   6304790 -0.012  9.498      -0.022          62.250        3.8025
## 1499856 14998550 10.314  9.944      -0.018          68.825        6.1600
## 141427   1414260 -0.010  9.604      -0.016          58.600        3.7700
## 1191847 11918460 -0.010  9.776      -0.020          71.525        3.8050
## 966018   9660170 -0.012  8.748      -0.020          63.675        0.0425
## 890404   8904030 -0.010  9.440      -0.022          67.225        3.8125
## 1437622 14376210  9.230  8.802      -0.016          63.175        5.9175
## 599845   5998440 -0.014  9.082      -0.022          58.400        0.0425
## 766660   7666590  8.794  9.790      -0.014          68.850        5.7025
## 164487   1644860 -0.012  8.690      -0.018          57.000        0.0375
## 666230   6662290 -0.012  9.006      -0.022          55.650        0.0400
## 920450   9204490 -0.014  8.552      -0.024          59.725        0.0425
## 573197   5731960 -0.012  9.574      -0.022          62.575        3.8200
## 1448232 14482310 -0.010  9.532      -0.018          67.575        3.9425
## 499067   4990660 -0.012  8.186      -0.020          54.600        0.0400
## 357893   3578920 -0.016  8.542      -0.024          54.600        0.0425
## 535909   5359080 -0.016  8.882      -0.024          52.425        0.0375
## 1035452 10354510  8.390  8.506      -0.014          65.150        5.5750
## 606913   6069120 -0.010  9.282      -0.020          60.475        0.0400
## 594562   5945610 -0.018  8.416      -0.026          46.350        0.0425
## 188781   1887800 -0.012  8.708      -0.018          56.100        0.0375
## 826230   8262290 -0.012  8.944      -0.018          65.350        0.0400
## 370749   3707480 -0.028 10.044      -0.024          64.950        3.8250
## 935394   9353930  9.874  9.476      -0.024          62.550        6.0950
## 1060259 10602580 -0.014  8.474      -0.016          62.675        0.0400
## 625356   6253550 -0.014  9.984      -0.024          61.025        3.7950
## 467080   4670790 -0.010  9.538      -0.022          66.075        3.8025
## 205940   2059390 -0.012  8.716      -0.024          52.400        0.0375
## 919377   9193760 -0.010  9.114      -0.020          62.950        0.0425
## 519705   5197040 -0.014  8.448      -0.020          57.525        0.0400
## 1441050 14410490 -0.016  8.464      -0.022          57.400        0.0425
## 1069452 10694510 -0.010  9.338      -0.016          68.125        3.7200
## 824720   8247190 -0.010  8.168      -0.018          64.600        0.0400
## 655109   6551080 -0.012  9.678      -0.022          63.400        3.5275
## 971014   9710130 -0.014  9.548      -0.022          69.575        3.7350
## 1375313 13753120 -0.010  9.034      -0.020          67.375        0.0425
## 696671   6966700 -0.014  9.486      -0.022          60.500        0.0425
## 1043276 10432750 -0.020  9.998      -0.022          72.200        3.8550
## 32727     327260 -0.012  8.990      -0.022          55.050        0.0375
## 153582   1535810 -0.014  8.682      -0.020          53.400        0.0375
## 1478927 14789260 10.190  9.794      -0.018          64.450        6.2350
## 400093   4000920 -0.016  9.876      -0.024          67.550        3.8125
## 1501782 15017810 -0.012  8.372      -0.020          63.650        0.0425
## 1252937 12529360 -0.010  8.510      -0.020          61.400        0.0400
## 1207597 12075960 -0.014  9.442      -0.022          67.325        3.7425
## 1104123 11041220 -0.010  9.356      -0.016          70.425        3.6950
## 208586   2085850 -0.018  9.932      -0.022          53.000        3.8100
## 1049546 10495450 -0.010  9.788      -0.018          71.025        3.6325
## 314315   3143140 -0.012  8.816      -0.020          61.875        0.0425
##         DV_eletric Towers LPS Pressure_switch Oil_level Caudal_impulses
## 1237518          0      1   0               1         1               1
## 134058           0      1   0               1         1               1
## 1172598          1      0   1               1         1               1
## 685285           0      1   0               1         1               1
## 1274894          0      1   0               1         1               1
## 1413785          0      1   0               1         1               1
## 1242203          0      1   0               1         1               1
## 497690           0      1   0               1         1               1
## 402858           0      1   0               1         1               1
## 583422           0      0   0               0         0               0
## 1231780          0      1   0               1         1               1
## 883281           0      1   0               1         1               1
## 669543           0      1   0               1         1               1
## 1325900          0      1   0               1         0               1
## 944672           1      0   0               1         1               1
## 613997           1      1   0               1         1               1
## 402313           0      1   0               1         1               1
## 554826           0      1   0               1         1               1
## 1498011          1      1   0               1         1               1
## 401205           0      1   0               1         1               1
## 377049           0      1   0               1         1               1
## 90077            0      1   0               1         1               1
## 268360           0      1   0               1         1               0
## 738879           0      1   0               1         1               1
## 815826           0      1   0               1         1               1
## 53241            0      1   0               1         1               1
## 368917           0      1   0               1         1               1
## 917545           0      1   0               1         1               1
## 931930           0      1   0               1         1               1
## 990324           0      1   0               1         1               1
## 707016           0      1   0               1         1               1
## 1404758          0      1   0               1         1               1
## 451743           0      1   0               1         1               1
## 994513           0      1   0               1         1               1
## 1419058          1      0   0               1         1               1
## 1091618          0      1   0               1         1               1
## 208909           0      1   0               1         1               1
## 268278           0      1   0               1         1               0
## 1438809          0      1   0               1         0               1
## 140712           0      1   0               1         1               1
## 1002782          0      1   0               1         1               1
## 783007           1      1   1               1         1               1
## 157582           0      1   0               1         1               1
## 407619           0      1   0               1         1               1
## 1506294          0      1   0               1         1               1
## 1355941          0      1   0               1         0               1
## 517171           0      1   0               1         1               1
## 638130           0      1   0               1         1               1
## 633068           0      1   0               1         1               1
## 117066           1      0   0               1         1               1
## 1405055          1      1   0               1         1               1
## 747732           0      1   0               1         1               1
## 864017           0      1   0               1         1               1
## 1381283          0      1   0               1         0               1
## 506734           0      1   0               1         1               1
## 1212254          0      1   0               1         1               1
## 933656           0      1   0               1         1               1
## 1074135          1      0   0               1         1               1
## 669575           0      1   0               1         1               1
## 1464986          0      1   0               1         1               1
## 352238           0      1   0               1         1               1
## 407707           0      1   0               1         1               1
## 607237           0      1   0               1         1               1
## 339728           0      1   0               1         1               1
## 1351223          0      1   0               1         0               1
## 690084           0      1   0               1         1               1
## 759022           0      1   0               1         1               1
## 1197017          0      1   0               1         1               1
## 424758           1      0   0               1         1               1
## 452322           0      1   0               1         1               1
## 1004109          0      1   0               1         1               1
## 1220280          1      1   0               1         1               1
## 1275759          1      0   0               1         1               1
## 436420           0      1   0               1         1               1
## 37544            0      1   0               1         1               1
## 1278937          0      1   0               1         1               1
## 1040728          0      1   0               1         1               1
## 1395147          0      1   0               1         1               1
## 994324           0      1   0               1         1               1
## 475331           0      1   0               1         1               1
## 1291116          0      1   0               1         1               1
## 1403057          0      1   0               1         1               1
## 650043           0      1   0               1         1               1
## 1308171          0      1   0               1         1               1
## 484654           0      1   0               1         1               1
## 1347437          0      1   0               1         0               1
## 125547           0      1   0               1         1               1
## 814510           0      1   0               1         1               1
## 331513           0      1   0               1         1               1
## 484780           0      1   0               1         1               1
## 249261           0      1   0               1         1               0
## 1352208          0      1   0               1         0               1
## 1489277          0      1   0               1         1               1
## 63528            0      1   0               1         1               1
## 506378           0      1   0               1         1               1
## 1131645          0      1   0               1         1               1
## 1362185          0      1   0               1         0               1
## 419719           0      1   0               1         1               1
## 1414039          0      1   0               1         1               1
## 32953            0      1   0               1         1               1
## 1190410          0      1   0               1         1               1
## 1358902          0      1   0               1         0               1
## 817003           0      0   0               0         0               0
## 697881           0      1   0               1         1               1
## 1254170          0      1   0               1         1               1
## 407961           0      1   0               1         1               1
## 1467738          0      1   0               1         1               1
## 581989           1      1   0               1         0               0
## 1495310          0      1   0               1         1               1
## 858758           0      1   0               1         1               1
## 1096378          0      1   0               1         1               1
## 1080093          0      1   0               1         1               1
## 1342983          0      1   0               1         0               1
## 1297798          1      0   0               1         1               1
## 1129694          0      1   0               1         1               1
## 1067968          1      0   0               1         1               1
## 308281           0      1   0               1         1               1
## 1247395          0      1   0               1         1               1
## 59970            0      1   0               1         1               1
## 215370           0      1   0               1         1               0
## 54661            0      1   0               1         1               1
## 1343001          0      1   0               1         0               1
## 500791           0      1   0               1         1               1
## 794258           0      1   0               1         1               1
## 604575           0      1   0               1         1               1
## 351943           1      0   0               1         1               1
## 1023889          1      1   0               1         1               1
## 1374125          0      1   0               1         0               1
## 1375336          0      1   0               1         0               1
## 1338175          0      1   0               1         0               1
## 447956           0      1   0               1         1               1
## 1126749          0      1   0               1         1               1
## 1068769          0      1   0               1         1               1
## 116913           0      1   0               1         1               1
## 66701            0      1   0               1         1               1
## 1143938          0      1   0               1         1               1
## 325311           0      1   0               1         1               1
## 734585           0      1   0               1         1               1
## 850090           0      1   0               1         1               1
## 640234           0      1   0               1         1               1
## 387580           0      1   0               1         1               1
## 1001536          0      1   0               1         1               1
## 996835           0      1   0               1         1               1
## 216027           0      1   0               1         1               0
## 137695           0      1   0               1         1               1
## 1048002          0      1   0               1         1               1
## 926487           0      1   0               1         1               1
## 168841           0      1   0               1         1               1
## 251106           0      1   0               1         1               0
## 1408890          1      1   0               1         1               1
## 733481           1      1   0               1         1               1
## 435437           0      1   0               1         1               1
## 283243           0      1   0               1         1               0
## 41043            0      1   0               1         1               1
## 746338           0      1   0               1         1               1
## 1367249          0      1   0               1         0               1
## 1146031          0      1   0               1         1               1
## 1386819          0      1   0               1         0               1
## 1217913          0      1   0               1         1               1
## 1124960          0      1   0               1         1               1
## 1095014          0      1   0               1         1               1
## 599464           0      1   0               1         1               1
## 633952           0      1   0               1         1               1
## 1248998          0      1   0               1         1               1
## 1303517          0      1   0               1         1               1
## 1294174          0      1   0               1         1               1
## 532464           0      1   0               1         1               1
## 487335           0      1   0               1         1               1
## 600657           0      1   0               1         1               1
## 504051           0      1   0               1         1               1
## 642935           0      1   0               1         1               1
## 709233           0      1   0               1         1               1
## 770434           0      1   0               1         1               1
## 1208781          0      1   0               1         1               1
## 786463           0      1   0               1         1               1
## 1429598          0      1   0               1         0               1
## 634896           0      1   0               1         1               1
## 269732           0      1   0               1         1               0
## 1158561          0      1   0               1         1               1
## 1037724          0      1   0               1         1               1
## 1053196          0      1   0               1         1               1
## 1356700          0      1   0               1         0               1
## 130610           0      1   0               1         1               1
## 724143           0      1   0               1         1               1
## 1231221          0      1   0               1         1               1
## 351696           0      1   0               1         1               1
## 929171           0      1   0               1         1               1
## 874337           1      1   0               1         1               1
## 1512737          0      1   0               1         1               1
## 1008971          0      1   0               1         1               1
## 207864           0      1   0               1         1               1
## 771373           1      0   0               1         1               1
## 643242           0      1   0               1         1               1
## 395666           0      1   0               1         1               1
## 1093076          0      1   0               1         1               1
## 1330571          0      1   0               1         0               1
## 765960           0      1   0               1         1               1
## 1167621          0      1   0               1         1               1
## 382026           0      1   0               1         1               1
## 661367           0      1   0               1         1               1
## 345824           0      1   0               1         1               1
## 784083           0      1   0               1         1               1
## 254808           1      1   0               1         1               0
## 886696           0      1   0               1         1               1
## 328740           1      1   0               1         1               1
## 1502698          0      1   0               1         1               1
## 996219           0      1   0               1         1               1
## 1036276          1      1   0               1         1               1
## 647833           0      1   0               1         1               1
## 387059           0      1   0               1         1               1
## 224361           0      1   0               1         1               0
## 918708           0      1   0               1         1               1
## 1408373          0      1   0               1         1               1
## 1101848          0      1   0               1         1               1
## 417327           0      1   0               1         1               1
## 305838           0      1   0               1         1               1
## 1414447          0      1   0               1         1               1
## 921488           0      1   0               1         1               1
## 1187528          1      0   0               1         1               1
## 284263           0      1   0               1         1               0
## 1247280          0      1   0               1         1               1
## 1003913          1      0   0               1         1               1
## 707883           0      1   0               1         1               1
## 1233566          0      1   0               1         1               1
## 1448125          0      1   0               1         0               1
## 130617           0      1   0               1         1               1
## 1294655          1      0   0               1         1               1
## 854862           1      1   0               1         1               1
## 384402           0      1   0               1         1               1
## 90232            0      1   0               1         1               1
## 482635           0      1   0               1         1               1
## 1366457          0      1   0               1         0               1
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## 
## $subset
## NULL
## 
## $outlierMethod
## [1] "none"
## 
## attr(,"class")
## [1] "mvn"

Uji KMO

KMO(num_data)
## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = num_data)
## Overall MSA =  0.6
## MSA for each item = 
##               X             TP2             TP3     DV_pressure Oil_temperature 
##            0.37            0.69            0.38            0.58            0.54 
##   Motor_current      DV_eletric          Towers             LPS Pressure_switch 
##            0.78            0.65            0.91            0.36            0.32 
##       Oil_level Caudal_impulses 
##            0.50            0.29

Bartlett Test

cortest.bartlett(cor(num_data), n = nrow(num_data))
## $chisq
## [1] 9319458
## 
## $p.value
## [1] 0
## 
## $df
## [1] 66

Standarisasi Data

scaled_data <- scale(num_data)

PCA

pca_res <- prcomp(scaled_data, center = TRUE, scale. = TRUE)

summary(pca_res)
## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.8711 1.3462 1.2026 1.1896 0.95950 0.93544 0.82057
## Proportion of Variance 0.2917 0.1510 0.1205 0.1179 0.07672 0.07292 0.05611
## Cumulative Proportion  0.2917 0.4428 0.5633 0.6812 0.75793 0.83085 0.88697
##                            PC8     PC9    PC10    PC11   PC12
## Standard deviation     0.73162 0.64582 0.44416 0.40594 0.2049
## Proportion of Variance 0.04461 0.03476 0.01644 0.01373 0.0035
## Cumulative Proportion  0.93157 0.96633 0.98277 0.99650 1.0000
# Eigenvalue
eigenvalues <- pca_res$sdev^2
eigenvalues
##  [1] 3.50093737 1.81214436 1.44626479 1.41521692 0.92064062 0.87504593
##  [7] 0.67333784 0.53526144 0.41707740 0.19727961 0.16479117 0.04200255
# Scree Plot
fviz_eig(pca_res)
## Warning in geom_bar(stat = "identity", fill = barfill, color = barcolor, :
## Ignoring empty aesthetic: `width`.

# Loadings
pca_res$rotation
##                         PC1         PC2          PC3          PC4          PC5
## X                0.10374744  0.43491297  0.373271662 -0.411471587 -0.010142806
## TP2              0.48174344 -0.16936925 -0.055199151 -0.029110516  0.026207390
## TP3              0.07003183  0.49936268 -0.415251048  0.258470354  0.209210512
## DV_pressure      0.29439851 -0.13027990 -0.008740803 -0.091558625 -0.621715718
## Oil_temperature  0.28611180  0.46924297 -0.047291122 -0.063250701 -0.046674465
## Motor_current    0.44888064  0.15326923 -0.197227761  0.050817100  0.249731223
## DV_eletric       0.47802705 -0.20340334 -0.041789566 -0.079465966  0.079604873
## Towers          -0.37670080  0.18362589 -0.162737229 -0.129693017  0.005069919
## LPS              0.04642197 -0.28342055  0.292228282 -0.245156306  0.639891857
## Pressure_switch -0.07948277 -0.01649774 -0.460528803 -0.490451572  0.208796425
## Oil_level       -0.04693240 -0.34017959 -0.549709571 -0.007813644 -0.037421140
## Caudal_impulses -0.03380063  0.02711978 -0.126813688 -0.651329599 -0.208677064
##                          PC6           PC7          PC8          PC9
## X               -0.021880173 -0.0006398769  0.468141651  0.179395119
## TP2             -0.223999339  0.1061253816  0.016344642  0.294604759
## TP3             -0.076683396 -0.2545154580 -0.252441009 -0.141536105
## DV_pressure      0.476703517  0.0553585475 -0.343663498 -0.130134485
## Oil_temperature  0.469776477  0.0027540700  0.209138883 -0.137148443
## Motor_current    0.007342883 -0.0977505174 -0.170237927  0.187218891
## DV_eletric      -0.168467898  0.2073823220 -0.002258732  0.227495435
## Towers           0.271251339  0.2198531001 -0.291196222  0.752748023
## LPS              0.462359996 -0.2433821989 -0.219747349 -0.079598339
## Pressure_switch -0.011111339  0.5857066279  0.020723429 -0.367755958
## Oil_level        0.276613783 -0.3623347009  0.568447969  0.173628727
## Caudal_impulses -0.321093410 -0.5351776910 -0.263388243 -0.009291523
##                         PC10         PC11         PC12
## X               -0.487679135 -0.040296734  0.008400692
## TP2              0.025123248  0.369262229 -0.670203654
## TP3             -0.400802559  0.378590194  0.065821278
## DV_pressure     -0.368108029 -0.017336309 -0.014573357
## Oil_temperature  0.612009707  0.178134255  0.001217431
## Motor_current    0.001122739 -0.770910445 -0.056769175
## DV_eletric       0.034969023  0.243322296  0.729480891
## Towers           0.047476161  0.072900586  0.011944509
## LPS             -0.099657053  0.153992092 -0.035716568
## Pressure_switch -0.086944660 -0.058503910 -0.085750457
## Oil_level       -0.128275038 -0.004117025  0.029666511
## Caudal_impulses  0.231111062  0.026121122  0.034546882
# Biplot
fviz_pca_biplot(pca_res, repel = FALSE)
## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## ℹ The deprecated feature was likely used in the ggpubr package.
##   Please report the issue at <https://github.com/kassambara/ggpubr/issues>.
## This warning is displayed once per session.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

# Skor PC
pc_scores <- as.data.frame(pca_res$x)
head(pc_scores)
##         PC1       PC2        PC3       PC4         PC5        PC6        PC7
## 1 -1.548321 -1.093012 -0.9275257 0.7325905 -0.01226666 -0.5374165 -0.3364173
## 2 -1.544881 -1.096001 -0.9215835 0.7273563 -0.01934519 -0.5281787 -0.3321790
## 3 -1.548485 -1.109152 -0.9147890 0.7240763 -0.02179422 -0.5325157 -0.3282691
## 4 -1.557752 -1.129733 -0.9068064 0.7216745 -0.02408551 -0.5439401 -0.3242545
## 5 -1.556652 -1.133945 -0.9006709 0.7171440 -0.02771721 -0.5391356 -0.3202509
## 6 -1.558409 -1.140839 -0.8930088 0.7125260 -0.02857292 -0.5383867 -0.3157509
##          PC8        PC9       PC10      PC11       PC12
## 1 -0.9883603 -0.3170749 -0.1590084 0.4698584 0.05645888
## 2 -0.9838096 -0.3173003 -0.1476347 0.4656669 0.05577909
## 3 -0.9824405 -0.3131221 -0.1483918 0.4570827 0.05426122
## 4 -0.9839212 -0.3074271 -0.1585588 0.4472120 0.05326028
## 5 -0.9783654 -0.3062645 -0.1475925 0.4426549 0.05223973
## 6 -0.9710246 -0.3034521 -0.1357947 0.4363203 0.05108474

FA

# Menentukan Jumlah Faktor
fa.parallel(scaled_data, fa = "fa")

## Parallel analysis suggests that the number of factors =  6  and the number of components =  NA
# Run FA
fa_res <- fa(scaled_data, nfactors = 2, rotate = "varimax")
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=5.4941e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=5.21939e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.6097e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.54445e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.51346e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.49874e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.49175e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.48843e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.45688e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.45609e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44859e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44485e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44475e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44471e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44469e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44468e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44458e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44454e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44453e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=5.4941e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.8844e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.5745e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.5009e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.46594e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44933e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44539e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44492e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.4447e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44459e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44454e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44453e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
## Warning in pchisq(df = result$dof, ncp = x, q = result$STATISTIC):
## pnchisq(x=2.4602e+06, f=43, theta=2.44452e+06, ..): not converged in 1000000
## iter.
print(fa_res)
## Factor Analysis using method =  minres
## Call: fa(r = scaled_data, nfactors = 2, rotate = "varimax")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                   MR1   MR2    h2    u2 com
## X                0.07  0.40 0.161 0.839 1.1
## TP2              0.96 -0.05 0.916 0.084 1.0
## TP3              0.00  0.53 0.286 0.714 1.0
## DV_pressure      0.45  0.03 0.204 0.796 1.0
## Oil_temperature  0.34  0.80 0.750 0.250 1.4
## Motor_current    0.73  0.41 0.703 0.297 1.6
## DV_eletric       0.97 -0.10 0.953 0.047 1.0
## Towers          -0.64  0.06 0.413 0.587 1.0
## LPS              0.11 -0.20 0.052 0.948 1.6
## Pressure_switch -0.10 -0.02 0.010 0.990 1.1
## Oil_level       -0.01 -0.24 0.058 0.942 1.0
## Caudal_impulses -0.04 -0.01 0.002 0.998 1.0
## 
##                        MR1  MR2
## SS loadings           3.15 1.36
## Proportion Var        0.26 0.11
## Cumulative Var        0.26 0.38
## Proportion Explained  0.70 0.30
## Cumulative Proportion 0.70 1.00
## 
## Mean item complexity =  1.1
## Test of the hypothesis that 2 factors are sufficient.
## 
## df null model =  66  with the objective function =  6.14 with Chi Square =  9319458
## df of  the model are 43  and the objective function was  1.62 
## 
## The root mean square of the residuals (RMSR) is  0.1 
## The df corrected root mean square of the residuals is  0.12 
## 
## The harmonic n.obs is  1516948 with the empirical chi square  961889.2  with prob <  0 
## The total n.obs was  1516948  with Likelihood Chi Square =  2460200  with prob <  0 
## 
## Tucker Lewis Index of factoring reliability =  0.595
## RMSEA index =  0.194  and the 90 % confidence intervals are  0.194 NA
## BIC =  2459588
## Fit based upon off diagonal values = 0.88
## Measures of factor score adequacy             
##                                                    MR1 MR2
## Correlation of (regression) scores with factors   0.99 0.9
## Multiple R square of scores with factors          0.97 0.8
## Minimum correlation of possible factor scores     0.94 0.6
# Faktor Loading
fa_res$loadings
## 
## Loadings:
##                 MR1    MR2   
## X                       0.396
## TP2              0.956       
## TP3                     0.535
## DV_pressure      0.451       
## Oil_temperature  0.342  0.796
## Motor_current    0.731  0.410
## DV_eletric       0.971 -0.100
## Towers          -0.640       
## LPS              0.113 -0.198
## Pressure_switch              
## Oil_level              -0.240
## Caudal_impulses              
## 
##                  MR1   MR2
## SS loadings    3.149 1.359
## Proportion Var 0.262 0.113
## Cumulative Var 0.262 0.376
# Visualisasi Faktor
fa.diagram(fa_res)

Export Hasil

write.csv(pc_scores, "hasil_pca.csv")