Import Data dan Visualisasi Awal

# Import Data
data <- read.csv("C:/Users/HP/OneDrive/Semester 4/Analisis Multivariat/ResearchInformation3.csv", header = TRUE)
# Visualisasi Awal
options(repr.plot.width = 16, repr.plot.height = 4)
n_cols <- ncol(data)
par(mfrow = c(1, min(4, n_cols)), mar = c(4, 4, 2, 1))

for (col in colnames(data)) {
  if (is.numeric(data[[col]])) {
    hist(data[[col]], main = paste("Histogram of", col), xlab = col, col = "lightblue", border = "black")
  } else {
    counts <- table(data[[col]])
    barplot(counts, main = paste("Barplot of", col), xlab = col, col = "lightgreen", border = "black", las = 2)
  }
}

par(mfrow = c(1, 1))

Pre-Processing Data

Missing Value dan Duplikasi

# Cek Missing Value
sum(is.na(data))
## [1] 0
colMeans(is.na(data)) * 100
##  Department      Gender         HSC         SSC      Income    Hometown 
##           0           0           0           0           0           0 
##    Computer Preparation      Gaming  Attendance         Job     English 
##           0           0           0           0           0           0 
##       Extra    Semester        Last     Overall 
##           0           0           0           0
# Cek duplikat
duplikat <- data[duplicated(data), ]
duplikat
##  [1] Department  Gender      HSC         SSC         Income      Hometown   
##  [7] Computer    Preparation Gaming      Attendance  Job         English    
## [13] Extra       Semester    Last        Overall    
## <0 rows> (or 0-length row.names)

Konversi ke Numerik

data_numeric <- data
for (col in colnames(data_numeric)) {
  if (!is.numeric(data_numeric[[col]])) {
    data_numeric[[col]] <- as.numeric(as.factor(data_numeric[[col]]))
  }
}

Visualisasi Setelah Pre-Processing

options(repr.plot.width = 16, repr.plot.height = 4)
par(mfrow = c(1, 4), mar = c(4, 4, 2, 1))
num_plots <- 0
for (col in colnames(data_numeric)) {
  if (is.numeric(data_numeric[[col]])) {
    hist(data_numeric[[col]], main = paste("Histogram of", col), xlab = col, col = "lightblue", border = "black")
    num_plots <- num_plots + 1
  }
}

par(mfrow = c(1, 1))

Normalisasi Z-score

data_z <- as.data.frame(lapply(data_numeric, function(x) {
  if (is.numeric(x)) (x - mean(x)) / sd(x) else x
}))
data_z
##     Department     Gender          HSC          SSC      Income   Hometown
## 1   -1.0444335  0.7085396  0.024199553  0.206996133 -0.42589497  0.8713043
## 2   -1.0444335 -1.4084909  1.396559161  0.664743679  1.37176104 -1.1453766
## 3   -1.0444335  0.7085396  1.542944186  0.178386911  0.29316743  0.8713043
## 4   -1.0444335  0.7085396 -0.286868625 -0.765717403 -1.50448858 -1.1453766
## 5   -1.0444335 -1.4084909 -3.598829813 -4.570743882  0.29316743  0.8713043
## 6   -0.2782048  0.7085396  1.085490983 -2.053132377  0.29316743  0.8713043
## 7   -0.2782048  0.7085396  0.481652756  0.664743679 -1.50448858  0.8713043
## 8   -0.2782048  0.7085396  0.628037780  0.121168468  1.37176104 -1.1453766
## 9   -0.2782048  0.7085396 -1.531141337 -0.765717403 -0.06636377 -1.1453766
## 10  -0.2782048 -1.4084909 -1.512843208  0.521697571  0.65269863 -1.1453766
## 11  -0.2782048  0.7085396  0.024199553  0.664743679  0.29316743  0.8713043
## 12  -0.2782048  0.7085396 -1.055390006 -0.594062073  1.37176104  0.8713043
## 13  -0.2782048  0.7085396  0.628037780 -0.050486862  0.29316743  0.8713043
## 14  -0.2782048  0.7085396  0.628037780 -0.050486862  1.37176104  0.8713043
## 15  -0.2782048  0.7085396 -0.597936803  0.664743679 -0.42589497  0.8713043
## 16  -0.2782048  0.7085396  0.316969603 -0.365188300  0.65269863 -1.1453766
## 17  -0.2782048 -1.4084909  0.646335909 -0.050486862  0.29316743  0.8713043
## 18  -0.2782048  0.7085396  0.628037780 -0.050486862  0.29316743  0.8713043
## 19  -0.2782048  0.7085396 -0.433253650 -0.136314527 -1.50448858  0.8713043
## 20  -0.2782048  0.7085396 -0.433253650  0.664743679 -1.50448858  0.8713043
## 21  -0.2782048  0.7085396 -0.140483600  0.664743679 -0.42589497  0.8713043
## 22  -0.2782048  0.7085396 -0.890706853  0.264214576  0.29316743 -1.1453766
## 23  -0.2782048  0.7085396 -0.286868625  0.664743679  0.29316743 -1.1453766
## 24  -0.2782048  0.7085396 -0.744321828 -0.107705305  1.37176104  0.8713043
## 25  -0.2782048  0.7085396 -1.201775031  0.664743679  1.37176104 -1.1453766
## 26  -0.2782048  0.7085396  0.079093937  0.664743679  1.37176104 -1.1453766
## 27  -0.2782048 -1.4084909  0.774422805  0.493088350 -1.50448858  0.8713043
## 28  -0.2782048  0.7085396 -2.116681436 -2.024523156 -0.42589497  0.8713043
## 29  -0.2782048  0.7085396  0.024199553  0.664743679  0.29316743 -1.1453766
## 30  -0.2782048  0.7085396  0.481652756  0.664743679  0.29316743 -1.1453766
## 31  -0.2782048  0.7085396 -0.286868625  0.035340803 -0.42589497  0.8713043
## 32  -0.2782048  0.7085396  0.628037780 -0.050486862 -0.06636377  0.8713043
## 33  -0.2782048  0.7085396  0.628037780 -0.050486862  0.29316743  0.8713043
## 34  -0.2782048  0.7085396 -1.201775031  0.035340803 -1.50448858  0.8713043
## 35  -0.2782048  0.7085396 -0.616234931  0.664743679  0.29316743 -1.1453766
## 36  -0.2782048  0.7085396  0.628037780  0.664743679 -1.50448858  0.8713043
## 37  -0.2782048 -1.4084909  0.774422805 -2.310615372  1.37176104 -1.1453766
## 38  -0.2782048  0.7085396 -1.695824490 -1.252074171 -0.42589497 -1.1453766
## 39  -0.2782048  0.7085396 -3.635426069 -1.252074171  1.37176104  0.8713043
## 40  -0.2782048  0.7085396 -0.890706853 -1.395120279  1.37176104 -1.1453766
## 41  -0.2782048  0.7085396 -0.652831187  0.493088350  0.29316743  0.8713043
## 42  -0.2782048  0.7085396 -1.659228233  0.493088350 -1.50448858  0.8713043
## 43  -0.2782048 -1.4084909  0.628037780 -0.050486862 -1.50448858  0.8713043
## 44  -0.2782048  0.7085396 -0.286868625 -0.136314527  1.37176104  0.8713043
## 45  -0.2782048  0.7085396 -1.348160056  0.035340803  0.29316743  0.8713043
## 46  -0.2782048  0.7085396 -0.286868625  0.664743679 -1.50448858  0.8713043
## 47  -0.2782048  0.7085396 -1.512843208 -1.652603274 -1.50448858  0.8713043
## 48  -0.2782048  0.7085396  0.170584578 -1.109028063 -1.14495738 -1.1453766
## 49  -0.2782048  0.7085396 -0.744321828  0.664743679  0.29316743 -1.1453766
## 50  -0.2782048 -1.4084909 -1.055390006  0.664743679  0.29316743  0.8713043
## 51  -0.2782048  0.7085396  0.170584578  0.664743679 -1.50448858  0.8713043
## 52  -0.2782048 -1.4084909  0.628037780 -0.050486862  1.37176104  0.8713043
## 53  -0.2782048 -1.4084909 -0.597936803  0.493088350 -1.50448858  0.8713043
## 54  -0.2782048  0.7085396 -1.970296411 -1.566775609  0.29316743  0.8713043
## 55  -0.2782048  0.7085396 -0.890706853  0.407260685  1.37176104 -1.1453766
## 56  -0.2782048  0.7085396  1.542944186 -0.050486862 -1.50448858 -1.1453766
## 57  -0.2782048  0.7085396  0.737826549  0.149777690  0.29316743  0.8713043
## 58  -0.2782048  0.7085396  1.542944186 -0.136314527 -1.50448858  0.8713043
## 59  -0.2782048  0.7085396 -0.433253650  0.664743679  0.29316743  0.8713043
## 60  -0.2782048  0.7085396  0.481652756 -1.280683393  1.37176104  0.8713043
## 61  -0.2782048 -1.4084909 -1.348160056 -1.795649382 -1.50448858 -1.1453766
## 62  -0.2782048 -1.4084909 -0.286868625  0.664743679 -1.50448858  0.8713043
## 63  -0.2782048 -1.4084909  0.628037780 -0.050486862  0.29316743  0.8713043
## 64  -0.2782048  0.7085396  0.024199553  0.149777690  0.29316743  0.8713043
## 65  -0.2782048  0.7085396 -0.286868625  0.664743679  0.29316743 -1.1453766
## 66  -0.2782048  0.7085396  1.286770392  0.664743679  0.29316743 -1.1453766
## 67  -0.2782048  0.7085396  0.628037780 -0.050486862  0.29316743  0.8713043
## 68  -0.2782048  0.7085396 -0.963899365  0.407260685  0.29316743 -1.1453766
## 69  -0.2782048  0.7085396 -3.489041044 -1.395120279 -0.42589497 -1.1453766
## 70  -0.2782048  0.7085396 -2.263066461 -0.050486862  0.29316743 -1.1453766
## 71  -0.2782048  0.7085396  0.316969603  0.664743679 -1.14495738  0.8713043
## 72  -0.2782048  0.7085396  0.628037780 -0.050486862  0.29316743  0.8713043
## 73  -0.2782048  0.7085396  1.542944186  0.035340803 -1.50448858 -1.1453766
## 74  -0.2782048 -1.4084909 -1.823911386 -1.652603274  1.37176104  0.8713043
## 75  -0.2782048  0.7085396  0.939105958  0.664743679 -1.50448858 -1.1453766
## 76  -0.2782048  0.7085396 -0.890706853  0.149777690  0.29316743  0.8713043
## 77  -0.2782048  0.7085396 -0.744321828 -1.881477047  0.29316743  0.8713043
## 78  -0.2782048  0.7085396  0.628037780 -3.311938130 -0.42589497  0.8713043
## 79  -0.2782048  0.7085396 -2.226470205 -1.080418841 -1.14495738  0.8713043
## 80  -0.2782048  0.7085396 -1.037091878  0.664743679 -0.42589497  0.8713043
## 81  -0.2782048  0.7085396 -2.116681436 -1.252074171 -1.50448858  0.8713043
## 82  -0.2782048  0.7085396 -0.890706853  0.664743679  0.65269863 -1.1453766
## 83  -0.2782048  0.7085396 -0.140483600  0.664743679 -1.14495738 -1.1453766
## 84  -0.2782048  0.7085396  0.316969603  0.664743679 -0.42589497  0.8713043
## 85  -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 86  -0.2782048  0.7085396 -0.433253650  0.664743679  1.37176104 -1.1453766
## 87  -0.2782048 -1.4084909  1.542944186  0.664743679  0.29316743  0.8713043
## 88  -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 89  -0.2782048  0.7085396 -0.433253650  0.664743679  0.29316743  0.8713043
## 90  -0.2782048  0.7085396  0.262075218 -0.050486862  0.29316743  0.8713043
## 91  -0.2782048 -1.4084909 -0.286868625  0.664743679 -1.14495738 -1.1453766
## 92  -0.2782048  0.7085396 -0.286868625 -1.824258604  0.29316743  0.8713043
## 93  -0.2782048  0.7085396  1.451453545  0.664743679  0.29316743 -1.1453766
## 94  -0.2782048  0.7085396  0.518249012 -1.109028063  1.37176104 -1.1453766
## 95  -0.2782048  0.7085396 -0.744321828  0.664743679  1.37176104 -1.1453766
## 96  -0.2782048  0.7085396 -1.055390006 -0.451015965 -0.42589497 -1.1453766
## 97  -0.2782048 -1.4084909 -0.286868625  0.350042241 -1.50448858 -1.1453766
## 98  -0.2782048 -1.4084909  0.939105958  0.664743679 -1.50448858 -1.1453766
## 99  -0.2782048 -1.4084909  0.628037780 -0.765717403  1.37176104 -1.1453766
## 100 -0.2782048  0.7085396  0.170584578  0.493088350 -0.06636377  0.8713043
## 101 -0.2782048  0.7085396 -0.286868625 -0.765717403  0.29316743  0.8713043
## 102 -0.2782048 -1.4084909 -1.659228233 -1.709821717  0.29316743 -1.1453766
## 103 -0.2782048  0.7085396 -2.720519664 -1.881477047  1.37176104  0.8713043
## 104 -0.2782048  0.7085396  0.481652756 -0.937372733  1.01222983  0.8713043
## 105 -0.2782048  0.7085396  1.085490983  0.664743679 -0.06636377  0.8713043
## 106 -0.2782048  0.7085396 -0.744321828  0.035340803  1.37176104 -1.1453766
## 107 -0.2782048  0.7085396 -1.201775031  0.664743679 -1.50448858  0.8713043
## 108 -0.2782048 -1.4084909 -1.512843208 -0.508234408 -1.50448858 -1.1453766
## 109 -0.2782048  0.7085396 -0.286868625  0.350042241 -1.50448858 -1.1453766
## 110 -0.2782048  0.7085396 -0.890706853  0.006731582 -1.50448858 -1.1453766
## 111 -0.2782048  0.7085396  0.170584578  0.664743679  1.37176104  0.8713043
## 112 -0.2782048 -1.4084909  0.024199553  0.664743679  0.29316743  0.8713043
## 113 -0.2782048 -1.4084909 -0.890706853 -0.107705305  0.29316743 -1.1453766
## 114 -0.2782048 -1.4084909 -0.140483600  0.664743679 -1.14495738  0.8713043
## 115 -0.2782048  0.7085396  0.628037780  0.664743679  1.37176104 -1.1453766
## 116 -0.2782048  0.7085396 -1.201775031  0.178386911  0.29316743  0.8713043
## 117 -0.2782048  0.7085396 -1.659228233 -1.166246506 -0.42589497  0.8713043
## 118 -0.2782048 -1.4084909 -1.494545080 -0.222142192  0.65269863  0.8713043
## 119 -0.2782048 -1.4084909 -0.140483600  0.664743679  1.37176104  0.8713043
## 120 -0.2782048  0.7085396 -0.140483600  0.664743679 -1.50448858  0.8713043
## 121 -0.2782048  0.7085396 -1.348160056 -1.252074171  1.37176104 -1.1453766
## 122 -0.2782048 -1.4084909  0.628037780 -0.050486862  0.29316743  0.8713043
## 123 -0.2782048 -1.4084909  0.481652756 -1.538166387  0.29316743  0.8713043
## 124 -0.2782048 -1.4084909 -1.201775031 -0.107705305  0.29316743 -1.1453766
## 125 -0.2782048  0.7085396 -1.055390006 -0.250751413  0.29316743 -1.1453766
## 126 -0.2782048  0.7085396  0.939105958  0.664743679  0.29316743 -1.1453766
## 127 -0.2782048  0.7085396  0.756124677  0.521697571  0.29316743 -1.1453766
## 128 -0.2782048 -1.4084909  0.024199553  0.664743679  0.29316743 -1.1453766
## 129 -0.2782048 -1.4084909 -0.744321828 -0.222142192  0.29316743 -1.1453766
## 130 -0.2782048  0.7085396  0.170584578  0.664743679  1.37176104  0.8713043
## 131 -0.2782048 -1.4084909  0.024199553 -0.451015965  0.29316743 -1.1453766
## 132 -0.2782048 -1.4084909  0.939105958  0.664743679  0.29316743  0.8713043
## 133 -0.2782048 -1.4084909 -0.597936803  0.664743679  0.29316743 -1.1453766
## 134 -0.2782048  0.7085396 -0.140483600  0.035340803 -1.50448858  0.8713043
## 135 -0.2782048  0.7085396 -1.055390006  0.321433020 -1.50448858  0.8713043
## 136 -0.2782048  0.7085396 -0.286868625 -0.193532970 -0.42589497  0.8713043
## 137 -0.2782048  0.7085396  0.774422805 -2.196178485 -1.50448858  0.8713043
## 138 -0.2782048  0.7085396 -0.103887344 -2.911409027  0.29316743 -1.1453766
## 139 -0.2782048  0.7085396 -1.512843208 -0.451015965 -1.14495738  0.8713043
## 140 -0.2782048  0.7085396 -0.890706853 -4.885445320 -1.50448858  0.8713043
## 141 -0.2782048  0.7085396  0.024199553 -0.451015965  1.37176104 -1.1453766
## 142 -0.2782048 -1.4084909 -0.597936803  0.664743679  0.29316743  0.8713043
## 143 -0.2782048  0.7085396  0.939105958 -0.050486862 -1.14495738  0.8713043
## 144 -0.2782048  0.7085396  0.628037780 -1.395120279  0.29316743  0.8713043
## 145 -0.2782048  0.7085396  0.316969603  0.664743679 -1.50448858 -1.1453766
## 146 -0.2782048  0.7085396 -1.805613258 -0.279360635 -0.78542618  0.8713043
## 147 -0.2782048 -1.4084909  0.628037780 -0.594062073  1.37176104 -1.1453766
## 148 -0.2782048 -1.4084909 -0.726023700 -2.196178485 -1.50448858  0.8713043
## 149 -0.2782048  0.7085396 -2.866904689  0.321433020 -1.14495738 -1.1453766
## 150 -0.2782048  0.7085396 -1.512843208 -2.825581362  0.29316743  0.8713043
## 151 -0.2782048 -1.4084909  0.628037780  0.664743679  0.29316743  0.8713043
## 152 -0.2782048  0.7085396  0.024199553 -0.451015965  0.29316743  0.8713043
## 153 -0.2782048 -1.4084909  0.481652756  0.664743679  0.29316743 -1.1453766
## 154 -0.2782048  0.7085396 -0.561340547  0.664743679  0.29316743 -1.1453766
## 155 -0.2782048  0.7085396 -0.433253650  0.664743679 -1.50448858  0.8713043
## 156 -0.2782048 -1.4084909 -0.286868625  0.664743679 -1.14495738  0.8713043
## 157 -0.2782048  0.7085396 -1.512843208  0.350042241 -0.42589497  0.8713043
## 158 -0.2782048  0.7085396 -0.433253650 -0.107705305  0.29316743  0.8713043
## 159 -0.2782048 -1.4084909 -1.348160056 -0.250751413 -0.78542618  0.8713043
## 160 -0.2782048  0.7085396  0.628037780 -0.050486862  0.29316743  0.8713043
## 161 -0.2782048 -1.4084909  0.628037780  0.664743679 -1.50448858 -1.1453766
## 162 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743  0.8713043
## 163 -0.2782048  0.7085396  1.542944186  0.664743679  1.37176104 -1.1453766
## 164 -0.2782048 -1.4084909  1.542944186  0.664743679  1.37176104 -1.1453766
## 165 -0.2782048 -1.4084909  0.628037780 -0.050486862  0.29316743  0.8713043
## 166 -0.2782048  0.7085396 -1.970296411 -0.250751413 -1.14495738  0.8713043
## 167 -0.2782048 -1.4084909 -0.433253650  0.664743679 -1.14495738 -1.1453766
## 168 -0.2782048  0.7085396 -0.890706853 -0.250751413 -1.14495738 -1.1453766
## 169 -0.2782048 -1.4084909 -0.433253650  0.664743679  1.37176104 -1.1453766
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## 362 -0.2782048  0.7085396  0.939105958 -0.765717403  0.29316743  0.8713043
## 363 -0.2782048  0.7085396  1.542944186  0.664743679 -0.42589497  0.8713043
## 364 -0.2782048  0.7085396  1.542944186  0.664743679  1.37176104  0.8713043
## 365 -0.2782048  0.7085396 -1.512843208 -0.050486862 -1.14495738  0.8713043
## 366 -0.2782048  0.7085396 -1.055390006  0.035340803  1.37176104  0.8713043
## 367 -0.2782048  0.7085396  0.481652756  0.121168468 -0.42589497  0.8713043
## 368 -0.2782048 -1.4084909  0.628037780  0.664743679  0.29316743  0.8713043
## 369 -0.2782048  0.7085396  1.542944186  0.664743679  1.37176104  0.8713043
## 370 -0.2782048 -1.4084909  1.542944186  0.664743679  1.37176104  0.8713043
## 371 -0.2782048 -1.4084909 -0.286868625 -0.937372733  0.29316743 -1.1453766
## 372 -0.2782048  0.7085396 -1.384756312 -2.196178485  0.29316743  0.8713043
## 373 -0.2782048  0.7085396 -1.055390006 -0.765717403 -1.50448858  0.8713043
## 374 -0.2782048 -1.4084909  0.939105958  0.664743679 -1.14495738 -1.1453766
## 375 -0.2782048  0.7085396 -0.140483600  0.664743679 -1.50448858 -1.1453766
## 376 -0.2782048  0.7085396 -0.597936803  0.178386911 -1.14495738  0.8713043
## 377 -0.2782048 -1.4084909 -0.286868625  0.664743679  0.29316743  0.8713043
## 378 -0.2782048 -1.4084909 -0.286868625  0.664743679 -0.42589497  0.8713043
## 379 -0.2782048  0.7085396  0.170584578  0.664743679 -0.42589497  0.8713043
## 380 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 381 -0.2782048  0.7085396 -1.348160056  0.664743679  1.37176104  0.8713043
## 382 -0.2782048  0.7085396 -0.140483600 -1.080418841  1.37176104  0.8713043
## 383 -0.2782048  0.7085396 -0.286868625 -1.166246506 -1.14495738  0.8713043
## 384 -0.2782048 -1.4084909 -0.433253650  0.350042241  0.29316743 -1.1453766
## 385 -0.2782048  0.7085396  0.628037780  0.664743679  1.37176104 -1.1453766
## 386 -0.2782048 -1.4084909 -0.286868625  0.178386911 -1.50448858  0.8713043
## 387 -0.2782048 -1.4084909  0.024199553  0.178386911  0.29316743 -1.1453766
## 388 -0.2782048  0.7085396  0.170584578 -0.136314527 -1.50448858 -1.1453766
## 389 -0.2782048 -1.4084909 -1.201775031  0.664743679  0.29316743 -1.1453766
## 390 -0.2782048  0.7085396  0.170584578  0.664743679 -1.14495738 -1.1453766
## 391 -0.2782048 -1.4084909 -0.433253650  0.664743679  0.29316743 -1.1453766
## 392 -0.2782048 -1.4084909  1.542944186  0.664743679  1.37176104 -1.1453766
## 393 -0.2782048  0.7085396  0.774422805  0.664743679  1.37176104  0.8713043
## 394 -0.2782048 -1.4084909  1.542944186  0.664743679  1.37176104 -1.1453766
## 395 -0.2782048  0.7085396  0.170584578  0.664743679 -1.50448858  0.8713043
## 396 -0.2782048  0.7085396  1.085490983  0.664743679  0.29316743  0.8713043
## 397 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 398 -0.2782048  0.7085396 -0.597936803 -0.222142192  1.37176104  0.8713043
## 399 -0.2782048  0.7085396  0.628037780 -0.451015965 -1.50448858 -1.1453766
## 400 -0.2782048 -1.4084909  0.481652756  0.006731582 -0.42589497  0.8713043
## 401 -0.2782048 -1.4084909 -0.140483600  0.664743679  0.29316743  0.8713043
## 402 -0.2782048 -1.4084909 -0.140483600  0.149777690  0.29316743 -1.1453766
## 403 -0.2782048 -1.4084909  0.628037780  0.521697571  1.37176104 -1.1453766
## 404 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743  0.8713043
## 405 -0.2782048  0.7085396  0.024199553  0.521697571  0.29316743 -1.1453766
## 406 -0.2782048 -1.4084909  0.024199553  0.664743679  0.29316743 -1.1453766
## 407 -0.2782048 -1.4084909  0.316969603 -0.508234408 -1.50448858 -1.1453766
## 408 -0.2782048  0.7085396 -0.597936803  0.664743679  0.29316743 -1.1453766
## 409 -0.2782048  0.7085396  0.481652756 -0.250751413 -1.50448858  0.8713043
## 410 -0.2782048  0.7085396  1.231876008  0.350042241  0.29316743 -1.1453766
## 411 -0.2782048 -1.4084909  1.542944186 -0.451015965  0.29316743  0.8713043
## 412 -0.2782048 -1.4084909 -0.140483600  0.664743679 -0.42589497 -1.1453766
## 413 -0.2782048  0.7085396  0.628037780  0.350042241 -1.14495738  0.8713043
## 414 -0.2782048 -1.4084909  1.542944186  0.664743679  0.29316743 -1.1453766
## 415 -0.2782048  0.7085396  0.481652756  0.664743679 -1.50448858 -1.1453766
## 416 -0.2782048  0.7085396  0.170584578  0.664743679 -0.42589497  0.8713043
## 417 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 418 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743  0.8713043
## 419 -0.2782048 -1.4084909  1.542944186  0.664743679 -0.42589497  0.8713043
## 420 -0.2782048 -1.4084909  1.542944186  0.664743679 -1.50448858  0.8713043
## 421 -0.2782048 -1.4084909  0.024199553  0.664743679 -1.50448858 -1.1453766
## 422 -0.2782048 -1.4084909  1.542944186  0.664743679  1.37176104 -1.1453766
## 423 -0.2782048  0.7085396  1.085490983  0.664743679  0.29316743 -1.1453766
## 424 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743  0.8713043
## 425 -0.2782048 -1.4084909  0.262075218  0.664743679  1.37176104  0.8713043
## 426 -0.2782048  0.7085396 -0.634533059 -1.080418841  1.37176104  0.8713043
## 427 -0.2782048  0.7085396 -0.286868625 -1.080418841 -0.78542618  0.8713043
## 428 -0.2782048 -1.4084909  0.481652756  0.664743679 -1.50448858 -1.1453766
## 429 -0.2782048  0.7085396  0.024199553  0.149777690  0.29316743  0.8713043
## 430 -0.2782048  0.7085396 -0.744321828  0.035340803  1.37176104 -1.1453766
## 431 -0.2782048  0.7085396  0.481652756  0.521697571  1.37176104  0.8713043
## 432 -0.2782048 -1.4084909  1.542944186  0.664743679 -1.50448858  0.8713043
## 433 -0.2782048 -1.4084909 -0.286868625 -0.250751413  0.29316743 -1.1453766
## 434 -0.2782048  0.7085396  0.628037780 -0.050486862  1.37176104  0.8713043
## 435 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 436 -0.2782048  0.7085396  0.774422805  0.664743679  0.29316743 -1.1453766
## 437 -0.2782048  0.7085396  1.542944186  0.664743679  1.37176104 -1.1453766
## 438 -0.2782048 -1.4084909  1.542944186  0.664743679 -1.50448858 -1.1453766
## 439 -0.2782048  0.7085396  1.542944186  0.664743679 -0.42589497  0.8713043
## 440 -0.2782048  0.7085396  1.542944186  0.664743679 -0.42589497  0.8713043
## 441 -0.2782048  0.7085396  1.542944186  0.664743679 -0.42589497 -1.1453766
## 442 -0.2782048  0.7085396  0.774422805  0.664743679 -1.50448858 -1.1453766
## 443 -0.2782048 -1.4084909  1.396559161  0.664743679 -1.50448858 -1.1453766
## 444 -0.2782048  0.7085396  0.316969603  0.664743679  0.29316743  0.8713043
## 445 -0.2782048  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 446 -0.2782048 -1.4084909  1.542944186  0.664743679  0.29316743  0.8713043
## 447 -0.2782048 -1.4084909  1.542944186  0.664743679  0.29316743 -1.1453766
## 448 -0.2782048 -1.4084909  0.024199553  0.664743679  1.37176104  0.8713043
## 449  0.4880240  0.7085396  0.024199553  0.664743679  0.29316743  0.8713043
## 450  0.4880240  0.7085396  1.085490983  0.178386911 -0.42589497  0.8713043
## 451  0.4880240  0.7085396  1.359962905  0.664743679 -1.50448858 -1.1453766
## 452  0.4880240  0.7085396  1.542944186  0.178386911  0.29316743  0.8713043
## 453  1.2542527  0.7085396 -1.348160056 -1.252074171  0.29316743 -1.1453766
## 454  2.0204815 -1.4084909 -1.201775031 -1.623994052  1.37176104 -1.1453766
## 455  2.0204815  0.7085396  0.316969603 -1.080418841  0.29316743  0.8713043
## 456  2.0204815 -1.4084909  0.628037780 -2.196178485  1.37176104 -1.1453766
## 457  2.0204815  0.7085396 -1.055390006  0.321433020  0.29316743  0.8713043
## 458  2.0204815 -1.4084909  1.542944186  0.664743679  0.29316743  0.8713043
## 459  2.0204815 -1.4084909  1.542944186  0.664743679 -0.42589497  0.8713043
## 460  2.0204815 -1.4084909  1.542944186  0.664743679 -0.42589497 -1.1453766
## 461  2.0204815  0.7085396  0.170584578 -1.023200398  1.37176104  0.8713043
## 462  2.0204815 -1.4084909  0.170584578  0.664743679  0.29316743  0.8713043
## 463  2.0204815 -1.4084909  0.170584578  0.664743679  0.29316743 -1.1453766
## 464  2.0204815 -1.4084909  0.170584578 -0.250751413 -1.50448858 -1.1453766
## 465  2.0204815  0.7085396  1.542944186  0.664743679  0.29316743 -1.1453766
## 466  2.0204815 -1.4084909  0.774422805  0.664743679  0.29316743  0.8713043
## 467  2.0204815  0.7085396  1.542944186  0.664743679  0.29316743  0.8713043
## 468  2.7867102  0.7085396 -1.622631977  0.149777690  1.37176104 -1.1453766
## 469  2.7867102 -1.4084909  0.939105958 -0.594062073  1.37176104 -1.1453766
## 470  2.7867102  0.7085396 -0.597936803 -5.057100650 -0.42589497  0.8713043
## 471  2.7867102  0.7085396  0.481652756 -2.367833815  0.29316743  0.8713043
## 472  2.7867102 -1.4084909  0.628037780 -1.395120279  0.29316743  0.8713043
## 473  2.7867102 -1.4084909 -1.970296411 -4.112996336  0.29316743  0.8713043
## 474  2.7867102  0.7085396  0.682932165 -2.453661480 -0.42589497  0.8713043
## 475  2.7867102 -1.4084909  0.628037780 -1.223464949 -1.50448858  0.8713043
## 476  2.7867102  0.7085396 -0.286868625 -2.196178485  1.37176104 -1.1453766
## 477  2.7867102 -1.4084909 -2.391153358 -3.226110465 -0.42589497 -1.1453766
## 478  2.7867102  0.7085396 -0.286868625 -1.252074171  1.37176104 -1.1453766
## 479  2.7867102  0.7085396 -1.805613258 -4.570743882  0.29316743 -1.1453766
## 480  2.7867102 -1.4084909  0.481652756 -0.136314527  0.29316743 -1.1453766
## 481  3.5529390 -1.4084909  1.542944186  0.664743679 -0.42589497  0.8713043
## 482  3.5529390 -1.4084909 -1.055390006  0.264214576  0.29316743  0.8713043
## 483  4.3191677 -1.4084909 -1.201775031 -2.196178485  1.37176104 -1.1453766
## 484  4.3191677  0.7085396  1.542944186  0.493088350 -1.50448858 -1.1453766
## 485  4.3191677  0.7085396  1.542944186 -0.250751413 -0.42589497 -1.1453766
## 486  4.3191677 -1.4084909  0.170584578 -2.997236692  0.29316743  0.8713043
## 487  4.3191677 -1.4084909  1.542944186  0.350042241 -1.50448858  0.8713043
## 488  4.3191677  0.7085396  1.542944186  0.035340803  0.29316743  0.8713043
## 489  5.0853964  0.7085396 -1.201775031 -2.196178485  0.29316743  0.8713043
## 490  5.0853964  0.7085396  0.628037780 -2.196178485  1.37176104 -1.1453766
## 491  5.8516252 -1.4084909  0.737826549 -3.140282800  0.29316743 -1.1453766
## 492  5.8516252  0.7085396  0.133988321 -0.765717403 -0.42589497  0.8713043
## 493  5.8516252 -1.4084909 -0.597936803  0.664743679  0.29316743  0.8713043
##       Computer Preparation     Gaming Attendance        Job    English
## 1   -0.2703476    2.083050 -2.2436539  0.9492704 -0.2718894 -0.6547616
## 2   -0.2703476   -1.010154 -2.2436539  0.9492704 -0.2718894 -0.6547616
## 3   -0.2703476   -1.010154  0.7257994  0.9492704 -0.2718894  0.4939838
## 4    1.3258365    2.083050  0.7257994  0.9492704 -0.2718894  1.6427293
## 5   -0.2703476   -1.010154 -0.7589272  0.9492704 -0.2718894 -0.6547616
## 6   -0.2703476   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 7    0.5277444   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 8   -0.2703476    0.536448  0.7257994  0.9492704 -0.2718894  0.4939838
## 9    0.5277444   -1.010154  0.7257994  2.3176632 -0.2718894 -0.6547616
## 10  -0.2703476   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 11  -0.2703476   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 12   0.5277444   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 13  -1.8665317   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 14  -1.8665317   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 15  -1.0684396   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 16   1.3258365   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 17  -1.8665317   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 18  -1.8665317   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 19  -0.2703476   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 20   0.5277444   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 21  -0.2703476   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 22  -1.0684396   -1.010154 -2.2436539  0.9492704 -0.2718894 -0.6547616
## 23  -0.2703476   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 24   1.3258365   -1.010154  0.7257994 -0.4191223 -0.2718894  0.4939838
## 25  -1.8665317   -1.010154  0.7257994 -0.4191223 -0.2718894  0.4939838
## 26   0.5277444   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 27  -0.2703476   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 28  -0.2703476   -1.010154  0.7257994 -0.4191223 -0.2718894  0.4939838
## 29  -0.2703476    0.536448  0.7257994 -0.4191223 -0.2718894 -0.6547616
## 30  -0.2703476   -1.010154 -2.2436539 -0.4191223 -0.2718894 -1.8035071
## 31  -0.2703476    0.536448  0.7257994 -0.4191223 -0.2718894  0.4939838
## 32  -1.8665317   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 33  -1.8665317   -1.010154  0.7257994 -0.4191223 -0.2718894 -1.8035071
## 34  -1.0684396   -1.010154  0.7257994  2.3176632 -0.2718894  0.4939838
## 35   0.5277444    0.536448  0.7257994 -0.4191223 -0.2718894  0.4939838
## 36   0.5277444   -1.010154  0.7257994 -1.7875151  3.6705063  0.4939838
## 37  -0.2703476   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 38  -0.2703476   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 39  -1.8665317   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 40   1.3258365   -1.010154  0.7257994 -0.4191223 -0.2718894  0.4939838
## 41  -0.2703476   -1.010154  0.7257994 -0.4191223 -0.2718894  0.4939838
## 42  -0.2703476   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 43  -1.8665317    0.536448  0.7257994 -0.4191223 -0.2718894  0.4939838
## 44  -0.2703476   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 45  -1.0684396   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 46  -1.0684396    0.536448  0.7257994 -0.4191223 -0.2718894 -0.6547616
## 47   0.5277444   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 48  -0.2703476    0.536448  0.7257994 -0.4191223 -0.2718894  0.4939838
## 49  -0.2703476   -1.010154  0.7257994 -1.7875151 -0.2718894 -0.6547616
## 50   0.5277444   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 51   0.5277444   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 52  -1.8665317    2.083050  0.7257994 -0.4191223 -0.2718894 -0.6547616
## 53  -1.8665317   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 54  -1.8665317   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 55  -1.0684396   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 56  -0.2703476   -1.010154  0.7257994 -1.7875151  3.6705063  0.4939838
## 57   1.3258365   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 58   0.5277444   -1.010154  0.7257994 -1.7875151 -0.2718894  1.6427293
## 59   0.5277444   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
## 60  -1.0684396   -1.010154  0.7257994 -1.7875151 -0.2718894  0.4939838
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## 459 -1.8665317   -1.010154  0.7257994  0.9492704 -0.2718894  1.6427293
## 460 -1.8665317   -1.010154 -0.7589272  0.9492704 -0.2718894 -0.6547616
## 461  0.5277444    0.536448 -2.2436539  0.9492704 -0.2718894  0.4939838
## 462 -0.2703476   -1.010154 -0.7589272  0.9492704 -0.2718894  0.4939838
## 463  0.5277444    0.536448 -0.7589272  0.9492704 -0.2718894  0.4939838
## 464  1.3258365    2.083050  0.7257994  0.9492704 -0.2718894  1.6427293
## 465 -1.0684396   -1.010154 -2.2436539  0.9492704 -0.2718894  0.4939838
## 466  1.3258365    0.536448  0.7257994  0.9492704 -0.2718894  1.6427293
## 467 -1.0684396    0.536448  0.7257994  0.9492704 -0.2718894 -0.6547616
## 468 -1.0684396   -1.010154 -0.7589272 -1.7875151 -0.2718894 -0.6547616
## 469 -0.2703476    0.536448  0.7257994 -0.4191223 -0.2718894  0.4939838
## 470 -1.0684396    0.536448  0.7257994  0.9492704 -0.2718894 -0.6547616
## 471  1.3258365    0.536448  0.7257994  0.9492704 -0.2718894  1.6427293
## 472 -1.0684396    0.536448 -2.2436539  0.9492704 -0.2718894 -1.8035071
## 473 -0.2703476    0.536448  0.7257994 -0.4191223 -0.2718894 -0.6547616
## 474  1.3258365   -1.010154 -2.2436539  0.9492704 -0.2718894 -1.8035071
## 475 -0.2703476    2.083050 -2.2436539  0.9492704 -0.2718894  1.6427293
## 476 -0.2703476    0.536448  0.7257994  0.9492704 -0.2718894 -0.6547616
## 477  0.5277444    0.536448  0.7257994  0.9492704  3.6705063 -0.6547616
## 478 -0.2703476    0.536448 -2.2436539  0.9492704 -0.2718894 -0.6547616
## 479 -0.2703476   -1.010154  0.7257994  0.9492704 -0.2718894 -0.6547616
## 480  0.5277444   -1.010154 -0.7589272  0.9492704 -0.2718894 -0.6547616
## 481 -1.8665317    2.083050 -0.7589272  0.9492704 -0.2718894  0.4939838
## 482 -1.8665317   -1.010154 -0.7589272 -0.4191223 -0.2718894 -2.9522525
## 483 -1.0684396    2.083050  0.7257994  0.9492704  3.6705063  1.6427293
## 484  1.3258365   -1.010154 -0.7589272  2.3176632 -0.2718894  0.4939838
## 485  1.3258365    2.083050  0.7257994  0.9492704 -0.2718894  1.6427293
## 486 -1.8665317   -1.010154  0.7257994  0.9492704  3.6705063 -2.9522525
## 487 -1.0684396    0.536448 -0.7589272  0.9492704 -0.2718894 -1.8035071
## 488 -1.8665317    0.536448 -2.2436539  0.9492704 -0.2718894 -2.9522525
## 489 -1.0684396    2.083050 -0.7589272 -1.7875151  3.6705063 -1.8035071
## 490  0.5277444    0.536448 -0.7589272 -0.4191223 -0.2718894 -0.6547616
## 491 -0.2703476   -1.010154 -0.7589272 -1.7875151 -0.2718894 -1.8035071
## 492 -0.2703476    2.083050 -0.7589272  0.9492704 -0.2718894 -0.6547616
## 493 -0.2703476    2.083050 -0.7589272  0.9492704 -0.2718894  0.4939838
##          Extra   Semester         Last      Overall
## 1    1.1840728  0.8391351  0.087472777  0.273092796
## 2    1.1840728  1.1730283  0.472523115  0.470794335
## 3    1.1840728 -0.1625443  1.303421213  0.898302792
## 4    1.1840728  0.1713488  0.991639563  0.948995495
## 5    1.1840728  0.1713488  1.209886718  1.270049277
## 6   -0.8428296 -0.4964375 -3.373303542 -3.697835560
## 7   -0.8428296 -0.4964375 -3.279769046 -3.596450155
## 8    1.1840728 -1.1642238 -0.333432451 -3.275396373
## 9    1.1840728  0.5052420 -2.718562076 -2.954342591
## 10  -0.8428296 -0.4964375 -2.593849416 -2.852957186
## 11  -0.8428296 -0.4964375 -2.500314921 -2.751571781
## 12  -0.8428296  1.8408145 -2.484725838 -2.734674214
## 13   1.1840728  1.5069214 -2.484725838 -2.734674214
## 14  -0.8428296  1.5069214 -3.373303542 -2.683981512
## 15  -0.8428296 -0.4964375 -2.406780426 -2.650186377
## 16  -0.8428296 -0.4964375 -2.297656848 -2.531903404
## 17   1.1840728  1.5069214 -2.079409693 -2.498108269
## 18  -0.8428296 -0.4964375 -2.297656848 -2.481210702
## 19  -0.8428296  0.5052420 -2.858863819 -2.430517999
## 20   1.1840728 -0.4964375 -2.204122353 -2.430517999
## 21  -0.8428296 -0.4964375 -2.983576479 -2.430517999
## 22   1.1840728 -0.1625443 -2.141766023 -2.346030162
## 23  -0.8428296 -0.4964375 -2.391191343 -2.244644757
## 24   1.1840728 -0.4964375 -2.001464280 -2.210849622
## 25  -0.8428296  0.5052420 -1.985875198 -2.193952055
## 26  -0.8428296  1.8408145 -2.671794828 -2.177054487
## 27  -0.8428296  0.5052420 -2.858863819 -2.177054487
## 28  -0.8428296 -0.4964375 -1.939107950 -2.143259352
## 29  -0.8428296 -0.4964375 -1.720860795 -2.058771515
## 30  -0.8428296 -1.1642238 -1.299955567 -2.008078813
## 31   1.1840728  1.5069214 -1.564969970 -2.008078813
## 32  -0.8428296  0.5052420 -2.593849416 -1.974283678
## 33  -0.8428296  1.5069214 -2.375602261 -1.839103138
## 34  -0.8428296  0.5052420 -2.858863819 -1.839103138
## 35  -0.8428296 -0.1625443 -1.034941164 -1.839103138
## 36  -0.8428296 -1.4981169 -1.455846392 -1.720820166
## 37  -0.8428296  1.5069214 -1.642915382 -1.720820166
## 38  -0.8428296 -0.1625443 -1.549380887 -1.720820166
## 39  -0.8428296 -0.1625443 -1.689682630 -1.720820166
## 40   1.1840728  0.5052420 -1.907929785 -1.670127463
## 41  -0.8428296  1.8408145 -1.814395290 -1.636332328
## 42  -0.8428296  1.8408145 -1.424668227 -1.585639626
## 43   1.1840728  1.1730283 -1.424668227 -1.585639626
## 44  -0.8428296 -0.4964375 -1.424668227 -1.585639626
## 45  -0.8428296 -0.4964375 -1.424668227 -1.585639626
## 46   1.1840728 -0.4964375 -1.331133732 -1.534946924
## 47  -0.8428296  1.8408145 -1.346722815 -1.501151789
## 48   1.1840728  1.1730283 -1.424668227 -1.501151789
## 49  -0.8428296 -0.4964375 -1.331133732 -1.484254221
## 50  -0.8428296 -0.4964375 -1.331133732 -1.484254221
## 51  -0.8428296 -0.4964375 -1.331133732 -1.484254221
## 52  -0.8428296  0.5052420 -1.128475659 -1.450459086
## 53  -0.8428296  0.5052420 -1.299955567 -1.450459086
## 54  -0.8428296 -0.1625443 -1.299955567 -1.450459086
## 55  -0.8428296 -0.1625443 -1.299955567 -1.450459086
## 56  -0.8428296  1.8408145 -1.206421072 -1.416663951
## 57   1.1840728  1.5069214 -1.268777402 -1.416663951
## 58   1.1840728  0.8391351 -1.268777402 -1.416663951
## 59  -0.8428296 -0.4964375 -1.222010154 -1.365971249
## 60  -0.8428296 -0.4964375 -1.222010154 -1.365971249
## 61  -0.8428296 -0.4964375 -1.222010154 -1.365971249
## 62  -0.8428296 -0.4964375 -1.222010154 -1.365971249
## 63  -0.8428296 -1.4981169 -1.175242907 -1.315278546
## 64  -0.8428296 -0.4964375 -1.128475659 -1.264585844
## 65  -0.8428296 -0.4964375 -1.128475659 -1.264585844
## 66  -0.8428296 -1.1642238 -1.268777402 -1.247688277
## 67  -0.8428296 -0.1625443 -1.424668227 -1.247688277
## 68  -0.8428296 -0.1625443 -0.910228504 -1.213893142
## 69   1.1840728 -1.1642238 -0.255487039 -1.163200439
## 70  -0.8428296  1.5069214 -0.676392266 -1.163200439
## 71  -0.8428296 -0.4964375 -1.034941164 -1.163200439
## 72   1.1840728 -1.4981169 -0.520501441 -1.112507737
## 73   1.1840728  0.1713488 -1.440257310 -1.078712602
## 74  -0.8428296  0.5052420 -0.645214101 -1.078712602
## 75  -0.8428296 -0.4964375 -0.941406669 -1.061815034
## 76  -0.8428296 -0.4964375 -0.941406669 -1.061815034
## 77  -0.8428296 -0.4964375 -0.941406669 -1.061815034
## 78   1.1840728 -0.4964375 -0.255487039 -1.028019899
## 79  -0.8428296 -0.4964375 -0.816694009 -0.926634495
## 80  -0.8428296 -0.4964375 -0.738748596 -0.842146657
## 81  -0.8428296 -0.4964375 -0.738748596 -0.842146657
## 82  -0.8428296 -0.4964375 -0.738748596 -0.842146657
## 83  -0.8428296 -0.4964375 -0.738748596 -0.842146657
## 84  -0.8428296 -1.4981169 -0.442556029 -0.825249090
## 85  -0.8428296  1.8408145 -0.520501441 -0.825249090
## 86  -0.8428296 -0.1625443 -0.520501441 -0.825249090
## 87   1.1840728  0.1713488 -1.175242907 -0.740761252
## 88   1.1840728  0.1713488 -1.268777402 -0.740761252
## 89   1.1840728 -1.4981169 -0.426966946 -0.740761252
## 90  -0.8428296 -1.4981169 -0.442556029 -0.740761252
## 91  -0.8428296 -1.4981169 -0.645214101 -0.740761252
## 92  -0.8428296 -1.4981169 -0.536090524 -0.740761252
## 93  -0.8428296 -1.4981169 -0.442556029 -0.740761252
## 94  -0.8428296  1.8408145 -0.551679606 -0.740761252
## 95  -0.8428296  1.5069214 -0.504912359 -0.740761252
## 96  -0.8428296  1.5069214 -0.551679606 -0.740761252
## 97  -0.8428296  1.5069214 -0.582857771 -0.740761252
## 98  -0.8428296  1.5069214 -0.520501441 -0.740761252
## 99  -0.8428296  1.5069214 -0.629625019 -0.740761252
## 100  1.1840728  1.5069214 -0.504912359 -0.740761252
## 101 -0.8428296  1.1730283 -0.645214101 -0.740761252
## 102 -0.8428296  0.8391351 -0.442556029 -0.740761252
## 103 -0.8428296  0.8391351 -0.645214101 -0.740761252
## 104 -0.8428296  0.8391351 -0.567268689 -0.740761252
## 105  1.1840728  0.5052420 -0.442556029 -0.740761252
## 106  1.1840728  0.5052420 -0.645214101 -0.740761252
## 107 -0.8428296  0.5052420 -0.614035936 -0.740761252
## 108 -0.8428296 -0.1625443 -0.645214101 -0.740761252
## 109 -0.8428296 -0.1625443 -0.645214101 -0.740761252
## 110 -0.8428296 -0.1625443 -0.520501441 -0.740761252
## 111 -0.8428296 -0.4964375 -0.645214101 -0.740761252
## 112 -0.8428296 -0.4964375 -0.645214101 -0.740761252
## 113 -0.8428296 -0.4964375 -0.645214101 -0.740761252
## 114 -0.8428296 -0.4964375 -0.645214101 -0.740761252
## 115 -0.8428296 -1.1642238 -1.393490062 -0.673170983
## 116  1.1840728 -0.4964375 -0.551679606 -0.639375848
## 117  1.1840728 -0.4964375 -0.551679606 -0.639375848
## 118  1.1840728 -1.4981169 -0.317843369 -0.588683145
## 119 -0.8428296  1.8408145 -0.271076121 -0.588683145
## 120 -0.8428296  0.8391351 -0.349021534 -0.588683145
## 121 -0.8428296  0.8391351 -0.349021534 -0.588683145
## 122 -0.8428296  1.5069214 -2.562671251 -0.578544605
## 123 -0.8428296 -0.4964375 -0.473734194 -0.554888010
## 124 -0.8428296 -0.4964375 -0.442556029 -0.521092875
## 125 -0.8428296 -0.4964375 -0.442556029 -0.521092875
## 126 -0.8428296 -0.4964375 -0.442556029 -0.521092875
## 127 -0.8428296 -0.4964375 -0.442556029 -0.521092875
## 128 -0.8428296 -0.4964375 -0.442556029 -0.521092875
## 129 -0.8428296 -1.4981169 -0.426966946 -0.504195308
## 130 -0.8428296  1.8408145 -0.395788781 -0.504195308
## 131 -0.8428296  1.5069214 -0.426966946 -0.504195308
## 132 -0.8428296  1.5069214 -0.364610616 -0.504195308
## 133 -0.8428296  1.5069214 -0.426966946 -0.504195308
## 134 -0.8428296  1.1730283 -0.380199699 -0.504195308
## 135 -0.8428296  1.1730283 -0.380199699 -0.504195308
## 136  1.1840728 -1.1642238 -1.097297494 -0.487297740
## 137 -0.8428296 -1.4981169 -0.785515844 -0.487297740
## 138 -0.8428296  1.8408145 -0.925817587 -0.487297740
## 139 -0.8428296  1.8408145 -1.128475659 -0.487297740
## 140  1.1840728  1.5069214 -0.956995752 -0.487297740
## 141 -0.8428296  1.5069214 -0.816694009 -0.487297740
## 142 -0.8428296  1.5069214 -0.879050339 -0.487297740
## 143 -0.8428296  1.1730283 -0.879050339 -0.487297740
## 144 -0.8428296  1.1730283 -0.879050339 -0.487297740
## 145 -0.8428296  0.8391351 -1.034941164 -0.487297740
## 146 -0.8428296  0.8391351 -1.175242907 -0.487297740
## 147 -0.8428296  0.8391351 -1.034941164 -0.487297740
## 148 -0.8428296  0.8391351 -0.941406669 -0.487297740
## 149 -0.8428296  0.8391351 -0.956995752 -0.487297740
## 150 -0.8428296  0.8391351 -0.738748596 -0.487297740
## 151  1.1840728  0.5052420 -0.769926762 -0.487297740
## 152 -0.8428296  0.5052420 -1.034941164 -0.487297740
## 153 -0.8428296 -0.1625443 -0.769926762 -0.487297740
## 154 -0.8428296 -0.1625443 -1.159653824 -0.487297740
## 155 -0.8428296 -0.4964375 -0.380199699 -0.453502605
## 156 -0.8428296 -1.4981169 -1.159653824 -0.419707470
## 157 -0.8428296 -0.4964375 -0.349021534 -0.419707470
## 158 -0.8428296 -0.4964375 -0.349021534 -0.419707470
## 159 -0.8428296 -0.4964375 -0.349021534 -0.419707470
## 160  1.1840728  1.5069214 -1.066119329 -0.352117201
## 161  1.1840728 -1.1642238  0.446021675 -0.318322066
## 162 -0.8428296 -0.4964375 -0.255487039 -0.318322066
## 163  1.1840728  0.1713488 -1.112886577 -0.318322066
## 164 -0.8428296  0.1713488  0.087472777 -0.318322066
## 165 -0.8428296 -1.4981169  0.009527364 -0.318322066
## 166 -0.8428296 -0.4964375 -0.255487039 -0.318322066
## 167 -0.8428296 -0.4964375 -0.255487039 -0.318322066
## 168 -0.8428296 -0.4964375 -0.255487039 -0.318322066
## 169 -0.8428296 -0.4964375 -0.255487039 -0.318322066
## 170 -0.8428296 -0.4964375 -0.255487039 -0.318322066
## 171  1.1840728 -0.4964375 -0.161952543 -0.216936661
## 172  1.1840728 -0.4964375 -0.161952543 -0.216936661
## 173  1.1840728 -0.4964375 -0.161952543 -0.216936661
## 174  1.1840728  0.1713488 -0.349021534 -0.200039093
## 175  1.1840728 -1.1642238 -0.255487039 -0.183141526
## 176 -0.8428296 -1.4981169  0.196596354 -0.183141526
## 177 -0.8428296 -1.4981169  0.134240024 -0.183141526
## 178 -0.8428296  1.8408145  0.134240024 -0.183141526
## 179 -0.8428296  1.8408145  0.134240024 -0.183141526
## 180 -0.8428296  1.5069214  0.134240024 -0.183141526
## 181 -0.8428296  1.5069214  0.181007272 -0.183141526
## 182 -0.8428296  1.5069214  0.212185437 -0.183141526
## 183 -0.8428296  1.5069214  0.149829107 -0.183141526
## 184 -0.8428296  0.8391351  0.212185437 -0.183141526
## 185 -0.8428296  0.8391351  0.134240024 -0.183141526
## 186 -0.8428296 -0.1625443  0.134240024 -0.183141526
## 187  1.1840728 -1.4981169 -0.676392266 -0.166243958
## 188 -0.8428296  1.1730283 -0.738748596 -0.149346391
## 189 -0.8428296  1.1730283 -0.520501441 -0.149346391
## 190  1.1840728  0.1713488 -0.084007131 -0.132448823
## 191  1.1840728 -0.4964375 -0.052828966 -0.098653689
## 192  1.1840728 -0.4964375 -0.052828966 -0.098653689
## 193  1.1840728 -0.4964375 -0.052828966 -0.098653689
## 194 -0.8428296 -0.4964375 -0.052828966 -0.098653689
## 195 -0.8428296  1.8408145  0.274541767 -0.064858554
## 196 -0.8428296  1.8408145  0.212185437 -0.064858554
## 197 -0.8428296  1.5069214  0.274541767 -0.064858554
## 198 -0.8428296  1.1730283  0.258952684 -0.064858554
## 199 -0.8428296  1.1730283  0.258952684 -0.064858554
## 200 -0.8428296  1.1730283  0.258952684 -0.064858554
## 201 -0.8428296  0.5052420  0.212185437 -0.064858554
## 202  1.1840728 -0.4964375 -0.006061718 -0.047960986
## 203  1.1840728 -0.4964375  0.040705529  0.002731716
## 204 -0.8428296 -0.4964375  0.040705529  0.002731716
## 205  1.1840728 -0.4964375  0.040705529  0.002731716
## 206 -0.8428296 -0.4964375  0.040705529  0.002731716
## 207  1.1840728 -0.4964375  0.071883694  0.036526851
## 208 -0.8428296  1.5069214  0.165418189  0.053424419
## 209  1.1840728 -1.1642238 -0.224308874  0.104117121
## 210  1.1840728 -1.4981169 -0.115185296  0.104117121
## 211 -0.8428296 -1.4981169 -0.099596213  0.104117121
## 212  1.1840728 -1.4981169 -0.239897956  0.104117121
## 213 -0.8428296  1.5069214 -0.130774378  0.104117121
## 214  1.1840728  1.5069214 -0.193130708  0.104117121
## 215 -0.8428296  1.5069214 -0.193130708  0.104117121
## 216 -0.8428296  1.5069214  0.087472777  0.104117121
## 217 -0.8428296  1.5069214 -0.084007131  0.104117121
## 218  1.1840728  1.5069214 -0.099596213  0.104117121
## 219  1.1840728  1.1730283 -0.130774378  0.104117121
## 220 -0.8428296  0.8391351 -0.193130708  0.104117121
## 221 -0.8428296  0.5052420 -0.255487039  0.104117121
## 222  1.1840728  0.5052420 -0.177541626  0.104117121
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## 437  1.1840728  0.1713488  1.303421213  1.371434681
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## 449  1.1840728 -1.1642238 -0.037239883  0.864507657
## 450  1.1840728  0.1713488  0.773392407  0.932097927
## 451  1.1840728 -1.4981169  0.991639563  0.948995495
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## 457  1.1840728 -1.1642238  0.290130849  0.442068471
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## 459 -0.8428296 -0.1625443  0.601912500  0.475863605
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## 461  1.1840728 -0.8303306  0.773392407  0.695531983
## 462  1.1840728 -1.4981169  0.913694150  0.830712522
## 463 -0.8428296 -1.4981169  1.069584975  0.932097927
## 464  1.1840728 -0.1625443  0.851337820  0.948995495
## 465  1.1840728  0.1713488  1.194297635  1.033483332
## 466  1.1840728 -0.1625443  1.038406810  1.084176034
## 467  1.1840728  0.1713488  1.303421213  1.253151709
## 468  1.1840728 -0.4964375 -1.424668227 -1.585639626
## 469 -0.8428296 -0.4964375 -1.034941164 -1.163200439
## 470  1.1840728 -0.1625443  0.009527364 -0.318322066
## 471 -0.8428296 -0.4964375 -0.115185296 -0.166243958
## 472  1.1840728 -0.4964375  0.009527364 -0.031063419
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## 474  1.1840728 -0.1625443  1.038406810  0.526556308
## 475  1.1840728 -0.4964375  0.523967087  0.526556308
## 476  1.1840728 -0.8303306  0.617501582  0.695531983
## 477  1.1840728  0.8391351  0.523967087  0.813814955
## 478  1.1840728 -1.1642238  1.116352223  0.999688197
## 479  1.1840728 -0.1625443  1.038406810  1.033483332
## 480  1.1840728 -0.8303306  1.303421213  1.371434681
## 481  1.1840728 -0.4964375  0.820159655  0.847610090
## 482  1.1840728  0.1713488  1.147530388  1.016585765
## 483 -0.8428296 -1.4981169 -0.021650801 -0.571785578
## 484  1.1840728 -0.4964375  0.227774519  0.205502526
## 485  1.1840728  0.5052420  0.617501582  0.627941713
## 486  1.1840728 -0.4964375  0.804570572  0.830712522
## 487  1.1840728 -0.1625443  1.116352223  1.168663872
## 488  1.1840728 -0.4964375  1.209886718  1.270049277
## 489  1.1840728  1.1730283  0.134240024 -0.149346391
## 490  1.1840728  1.8408145  0.523967087  0.813814955
## 491 -0.8428296 -0.4964375  0.617501582  0.627941713
## 492  1.1840728 -1.4981169  0.695446995  0.948995495
## 493  1.1840728 -0.8303306  1.303421213  1.134868737

Statistika Deskriptif

# Sebelum Pre-Processing
summary(data)
##   Department           Gender               HSC             SSC       
##  Length:493         Length:493         Min.   :2.170   Min.   :3.000  
##  Class :character   Class :character   1st Qu.:3.830   1st Qu.:4.680  
##  Mode  :character   Mode  :character   Median :4.170   Median :4.940  
##                                        Mean   :4.157   Mean   :4.768  
##                                        3rd Qu.:4.500   3rd Qu.:5.000  
##                                        Max.   :5.000   Max.   :5.000  
##     Income            Hometown            Computer     Preparation       
##  Length:493         Length:493         Min.   :1.000   Length:493        
##  Class :character   Class :character   1st Qu.:3.000   Class :character  
##  Mode  :character   Mode  :character   Median :3.000   Mode  :character  
##                                        Mean   :3.339                     
##                                        3rd Qu.:4.000                     
##                                        Max.   :5.000                     
##     Gaming           Attendance            Job               English    
##  Length:493         Length:493         Length:493         Min.   :1.00  
##  Class :character   Class :character   Class :character   1st Qu.:3.00  
##  Mode  :character   Mode  :character   Mode  :character   Median :4.00  
##                                                           Mean   :3.57  
##                                                           3rd Qu.:4.00  
##                                                           Max.   :5.00  
##     Extra             Semester              Last          Overall     
##  Length:493         Length:493         Min.   :1.000   Min.   :1.000  
##  Class :character   Class :character   1st Qu.:2.810   1st Qu.:2.880  
##  Mode  :character   Mode  :character   Median :3.250   Median :3.270  
##                                        Mean   :3.164   Mean   :3.188  
##                                        3rd Qu.:3.670   3rd Qu.:3.680  
##                                        Max.   :4.000   Max.   :4.000
# Sesudah Pre-Processing
summary(data_numeric)
##    Department         Gender           HSC             SSC       
##  Min.   : 1.000   Min.   :1.000   Min.   :2.170   Min.   :3.000  
##  1st Qu.: 2.000   1st Qu.:1.000   1st Qu.:3.830   1st Qu.:4.680  
##  Median : 2.000   Median :2.000   Median :4.170   Median :4.940  
##  Mean   : 2.363   Mean   :1.665   Mean   :4.157   Mean   :4.768  
##  3rd Qu.: 2.000   3rd Qu.:2.000   3rd Qu.:4.500   3rd Qu.:5.000  
##  Max.   :10.000   Max.   :2.000   Max.   :5.000   Max.   :5.000  
##      Income          Hometown        Computer      Preparation   
##  Min.   : 1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.: 2.000   1st Qu.:1.000   1st Qu.:3.000   1st Qu.:1.000  
##  Median : 6.000   Median :2.000   Median :3.000   Median :2.000  
##  Mean   : 5.185   Mean   :1.568   Mean   :3.339   Mean   :1.653  
##  3rd Qu.: 6.000   3rd Qu.:2.000   3rd Qu.:4.000   3rd Qu.:2.000  
##  Max.   :10.000   Max.   :2.000   Max.   :5.000   Max.   :3.000  
##      Gaming        Attendance         Job           English         Extra      
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.00   Min.   :1.000  
##  1st Qu.:2.000   1st Qu.:2.000   1st Qu.:1.000   1st Qu.:3.00   1st Qu.:1.000  
##  Median :3.000   Median :2.000   Median :1.000   Median :4.00   Median :1.000  
##  Mean   :2.511   Mean   :2.306   Mean   :1.069   Mean   :3.57   Mean   :1.416  
##  3rd Qu.:3.000   3rd Qu.:3.000   3rd Qu.:1.000   3rd Qu.:4.00   3rd Qu.:2.000  
##  Max.   :3.000   Max.   :4.000   Max.   :2.000   Max.   :5.00   Max.   :2.000  
##     Semester           Last          Overall     
##  Min.   : 1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.: 4.000   1st Qu.:2.810   1st Qu.:2.880  
##  Median : 4.000   Median :3.250   Median :3.270  
##  Mean   : 5.487   Mean   :3.164   Mean   :3.188  
##  3rd Qu.: 8.000   3rd Qu.:3.670   3rd Qu.:3.680  
##  Max.   :11.000   Max.   :4.000   Max.   :4.000
library(psych)
# Ada skew dan kurtosis
describe(data_numeric)
##             vars   n mean   sd median trimmed  mad  min max range  skew
## Department     1 493 2.36 1.31   2.00    2.00 0.00 1.00  10  9.00  3.69
## Gender         2 493 1.67 0.47   2.00    1.71 0.00 1.00   2  1.00 -0.70
## HSC            3 493 4.16 0.55   4.17    4.18 0.50 2.17   5  2.83 -0.40
## SSC            4 493 4.77 0.35   4.94    4.84 0.09 3.00   5  2.00 -2.14
## Income         5 493 5.18 2.78   6.00    5.23 2.97 1.00  10  9.00 -0.16
## Hometown       6 493 1.57 0.50   2.00    1.58 0.00 1.00   2  1.00 -0.27
## Computer       7 493 3.34 1.25   3.00    3.42 1.48 1.00   5  4.00 -0.30
## Preparation    8 493 1.65 0.65   2.00    1.57 1.48 1.00   3  2.00  0.48
## Gaming         9 493 2.51 0.67   3.00    2.64 0.00 1.00   3  2.00 -1.04
## Attendance    10 493 2.31 0.73   2.00    2.35 1.48 1.00   4  3.00 -0.20
## Job           11 493 1.07 0.25   1.00    1.00 0.00 1.00   2  1.00  3.39
## English       12 493 3.57 0.87   4.00    3.60 1.48 1.00   5  4.00 -0.34
## Extra         13 493 1.42 0.49   1.00    1.39 0.00 1.00   2  1.00  0.34
## Semester      14 493 5.49 2.99   4.00    5.41 2.97 1.00  11 10.00  0.37
## Last          15 493 3.16 0.64   3.25    3.23 0.64 1.00   4  3.00 -0.89
## Overall       16 493 3.19 0.59   3.27    3.25 0.59 1.00   4  3.00 -0.94
##             kurtosis   se
## Department     13.82 0.06
## Gender         -1.52 0.02
## HSC             0.12 0.02
## SSC             5.28 0.02
## Income         -1.11 0.13
## Hometown       -1.93 0.02
## Computer       -0.72 0.06
## Preparation    -0.71 0.03
## Gaming         -0.17 0.03
## Attendance     -0.61 0.03
## Job             9.52 0.01
## English         0.08 0.04
## Extra          -1.89 0.02
## Semester       -0.92 0.13
## Last            0.47 0.03
## Overall         0.61 0.03

Uji Asumsi

Uji Normalitas Multivariat

library(psych)
mardia(data_z)

## Call: mardia(x = data_z)
## 
## Mardia tests of multivariate skew and kurtosis
## Use describe(x) the to get univariate tests
## n.obs = 493   num.vars =  16 
## b1p =  61.13   skew =  5022.89  with probability  <=  0
##  small sample skew =  5057.06  with probability <=  0
## b2p =  353.94   kurtosis =  30.5  with probability <=  0

Uji Multikolinearitas

# Determinan Matriks Kovarians
data_manifest <- data_z[, c("Income", "Hometown", "English", "Computer", "Extra",
                             "Job", "Gaming", "Preparation", "Attendance", "Last",
                             "Overall", "Semester", "HSC", "SSC")]
data_manifest[] <- lapply(data_manifest, function(x) as.numeric(as.character(x)))

cov_matrix <- cov(data_manifest, use = "complete.obs")
det(cov_matrix)
## [1] 0.03145631
library(car)
## Warning: package 'car' was built under R version 4.5.3
## Loading required package: carData
## Warning: package 'carData' was built under R version 4.5.3
## 
## Attaching package: 'car'
## The following object is masked from 'package:psych':
## 
##     logit
# Pake VIF
data_manifest_clean <- na.omit(data_manifest)
model_vif <- lm(Overall ~ Income + Hometown + English + Computer + Extra +
                  Job + Gaming + Preparation + Attendance + Last + Semester + HSC + SSC,
                data = data_manifest_clean)
vif(model_vif)
##      Income    Hometown     English    Computer       Extra         Job 
##    1.019885    1.114107    1.243650    1.177522    1.207527    1.049524 
##      Gaming Preparation  Attendance        Last    Semester         HSC 
##    1.497352    1.232204    1.379779    1.658416    1.067148    1.316999 
##         SSC 
##    1.219241

Uji Kecukupan Sampel

# KMO  
r <- cor(data_z)
KMO(r)
## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = r)
## Overall MSA =  0.68
## MSA for each item = 
##  Department      Gender         HSC         SSC      Income    Hometown 
##        0.60        0.65        0.67        0.51        0.59        0.49 
##    Computer Preparation      Gaming  Attendance         Job     English 
##        0.57        0.88        0.76        0.83        0.50        0.48 
##       Extra    Semester        Last     Overall 
##        0.82        0.69        0.66        0.66

Confirmatory Factor Analysis (CFA)

library(lavaan)
## Warning: package 'lavaan' was built under R version 4.5.3
## This is lavaan 0.6-21
## lavaan is FREE software! Please report any bugs.
## 
## Attaching package: 'lavaan'
## The following object is masked from 'package:psych':
## 
##     cor2cov
model_cfa_x1 <- 'SosialEkonomi =~ Hometown + English + Computer + Income + Job'
model_cfa_x2 <- 'AktivitasNonAkademik =~ Extra + Gaming + Preparation + Attendance'
model_cfa_y <- 'PrestasiAkademik =~ Semester + Overall + HSC + Last'

fit_x1 <- cfa(model_cfa_x1, data = data_z, std.lv = TRUE)
## Warning: lavaan->lav_object_post_check():  
##    some estimated ov variances are negative
fit_x2 <- cfa(model_cfa_x2, data = data_z, std.lv = TRUE)
fit_y  <- cfa(model_cfa_y,  data = data_z, std.lv = TRUE)

summary(fit_x1, fit.measures = TRUE, standardized = TRUE)
## lavaan 0.6-21 ended normally after 30 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        10
## 
##   Number of observations                           493
## 
## Model Test User Model:
##                                                       
##   Test statistic                                10.198
##   Degrees of freedom                                 5
##   P-value (Chi-square)                           0.070
## 
## Model Test Baseline Model:
## 
##   Test statistic                                63.400
##   Degrees of freedom                                10
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.903
##   Tucker-Lewis Index (TLI)                       0.805
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -3468.580
##   Loglikelihood unrestricted model (H1)      -3463.481
##                                                       
##   Akaike (AIC)                                6957.160
##   Bayesian (BIC)                              6999.165
##   Sample-size adjusted Bayesian (SABIC)       6967.425
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.046
##   90 Percent confidence interval - lower         0.000
##   90 Percent confidence interval - upper         0.086
##   P-value H_0: RMSEA <= 0.050                    0.504
##   P-value H_0: RMSEA >= 0.080                    0.089
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.037
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   SosialEkonomi =~                                                      
##     Hometown          0.253    0.139    1.828    0.068    0.253    0.254
##     English          -0.145    0.087   -1.663    0.096   -0.145   -0.146
##     Computer         -1.080    0.561   -1.926    0.054   -1.080   -1.081
##     Income            0.042    0.047    0.886    0.376    0.042    0.042
##     Job              -0.048    0.049   -0.980    0.327   -0.048   -0.048
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .Hometown          0.934    0.089   10.463    0.000    0.934    0.936
##    .English           0.977    0.066   14.814    0.000    0.977    0.979
##    .Computer         -0.167    1.209   -0.139    0.890   -0.167   -0.168
##    .Income            0.996    0.063   15.698    0.000    0.996    0.998
##    .Job               0.996    0.063   15.694    0.000    0.996    0.998
##     SosialEkonomi     1.000                               1.000    1.000
## Visualisasi CFA Konstruk Sosial Ekonomi

library(semPlot)
## Warning: package 'semPlot' was built under R version 4.5.3
## Registered S3 method overwritten by 'lme4':
##   method           from
##   na.action.merMod car
semPaths(
  object = fit_x1,
  what = "path",
  whatLabels = "std",
  style = "ram",
  layout = "tree",
  rotation = 2,
  sizeMan = 6,
  sizeLat = 7,
  edge.label.cex = 1.2,
  label.cex = 1.3,
  color = list(lat = "lightblue", man = "lightgreen")
)

summary(fit_x2, fit.measures = TRUE, standardized = TRUE)
## lavaan 0.6-21 ended normally after 18 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                         8
## 
##   Number of observations                           493
## 
## Model Test User Model:
##                                                       
##   Test statistic                                 5.698
##   Degrees of freedom                                 2
##   P-value (Chi-square)                           0.058
## 
## Model Test Baseline Model:
## 
##   Test statistic                               150.940
##   Degrees of freedom                                 6
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.974
##   Tucker-Lewis Index (TLI)                       0.923
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -2723.524
##   Loglikelihood unrestricted model (H1)      -2720.675
##                                                       
##   Akaike (AIC)                                5463.048
##   Bayesian (BIC)                              5496.652
##   Sample-size adjusted Bayesian (SABIC)       5471.260
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.061
##   90 Percent confidence interval - lower         0.000
##   90 Percent confidence interval - upper         0.123
##   P-value H_0: RMSEA <= 0.050                    0.292
##   P-value H_0: RMSEA >= 0.080                    0.369
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.026
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                           Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   AktivitasNonAkademik =~                                                      
##     Extra                    0.455    0.060    7.619    0.000    0.455    0.456
##     Gaming                  -0.428    0.059   -7.224    0.000   -0.428   -0.428
##     Preparation              0.430    0.059    7.256    0.000    0.430    0.431
##     Attendance               0.649    0.067    9.673    0.000    0.649    0.649
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .Extra             0.791    0.063   12.516    0.000    0.791    0.792
##    .Gaming            0.815    0.063   13.017    0.000    0.815    0.816
##    .Preparation       0.813    0.063   12.981    0.000    0.813    0.815
##    .Attendance        0.577    0.079    7.315    0.000    0.577    0.579
##     AktivtsNnAkdmk    1.000                               1.000    1.000
## Visualisasi CFA Konstruk Aktivitas Non-Akademik
library(semPlot)
semPaths(
  object = fit_x2,
  what = "path",
  whatLabels = "std",
  style = "ram",
  layout = "tree",
  rotation = 2,
  sizeMan = 6,
  sizeLat = 7,
  edge.label.cex = 1.2,
  label.cex = 1.3,
  color = list(lat = "lightcoral", man = "lightyellow")
)

summary(fit_y,  fit.measures = TRUE, standardized = TRUE)
## lavaan 0.6-21 ended normally after 22 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                         8
## 
##   Number of observations                           493
## 
## Model Test User Model:
##                                                       
##   Test statistic                                 1.043
##   Degrees of freedom                                 2
##   P-value (Chi-square)                           0.594
## 
## Model Test Baseline Model:
## 
##   Test statistic                               998.885
##   Degrees of freedom                                 6
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    1.000
##   Tucker-Lewis Index (TLI)                       1.003
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -2297.224
##   Loglikelihood unrestricted model (H1)      -2296.702
##                                                       
##   Akaike (AIC)                                4610.448
##   Bayesian (BIC)                              4644.052
##   Sample-size adjusted Bayesian (SABIC)       4618.660
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.000
##   90 Percent confidence interval - lower         0.000
##   90 Percent confidence interval - upper         0.074
##   P-value H_0: RMSEA <= 0.050                    0.843
##   P-value H_0: RMSEA >= 0.080                    0.034
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.011
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                       Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   PrestasiAkademik =~                                                      
##     Semester             0.148    0.046    3.254    0.001    0.148    0.149
##     Overall             -0.966    0.044  -22.186    0.000   -0.966   -0.967
##     HSC                 -0.258    0.045   -5.724    0.000   -0.258   -0.258
##     Last                -0.956    0.044  -21.928    0.000   -0.956   -0.957
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .Semester          0.976    0.062   15.686    0.000    0.976    0.978
##    .Overall           0.065    0.055    1.165    0.244    0.065    0.065
##    .HSC               0.931    0.059   15.655    0.000    0.931    0.933
##    .Last              0.085    0.054    1.561    0.119    0.085    0.085
##     PrestasiAkadmk    1.000                               1.000    1.000
## Visualisasi CFA Konstruk Prestasi Akademik

library(semPlot)
semPaths(
  object = fit_y,
  what = "path",
  whatLabels = "std",
  style = "ram",
  layout = "tree",
  rotation = 2,
  sizeMan = 6,
  sizeLat = 7,
  edge.label.cex = 1.2,
  label.cex = 1.3,
  color = list(lat = "lightpink", man = "lightcyan")
)

Ringkasan Fit Indeks CFA

cfa_fits <- data.frame(
  Konstruk = c("SosialEkonomi", "AktivitasNonAkademik", "PrestasiAkademik"),
  CFI = c(fitMeasures(fit_x1, "cfi"),
          fitMeasures(fit_x2, "cfi"),
          fitMeasures(fit_y,  "cfi")),
  RMSEA = c(fitMeasures(fit_x1, "rmsea"),
            fitMeasures(fit_x2, "rmsea"),
            fitMeasures(fit_y,  "rmsea")),
  SRMR = c(fitMeasures(fit_x1, "srmr"),
           fitMeasures(fit_x2, "srmr"),
           fitMeasures(fit_y,  "srmr")),
  TLI = c(fitMeasures(fit_x1, "tli"),
           fitMeasures(fit_x2, "tli"),
           fitMeasures(fit_y,  "tli"))
)
print(cfa_fits)
##               Konstruk       CFI      RMSEA       SRMR       TLI
## 1        SosialEkonomi 0.9026604 0.04592034 0.03677934 0.8053209
## 2 AktivitasNonAkademik 0.9744853 0.06124214 0.02605335 0.9234560
## 3     PrestasiAkademik 1.0000000 0.00000000 0.01097337 1.0028923

Perhitungan Composite Reliability (CR)

# Fungsi untuk menghitung CR dari fit CFA
hitung_CR <- function(fit) {
  std <- standardizedSolution(fit)
  lambda <- std$est[std$op == "=~"]
  theta <- 1 - lambda^2
  CR <- sum(lambda)^2 / (sum(lambda)^2 + sum(theta))
  return(CR)
}

CR_x1 <- hitung_CR(fit_x1)
CR_x2 <- hitung_CR(fit_x2)
CR_y  <- hitung_CR(fit_y)

cr_df <- data.frame(
  Konstruk = c("SosialEkonomi", "AktivitasNonAkademik", "PrestasiAkademik"),
  CR = c(CR_x1, CR_x2, CR_y)
)

print(cr_df)
##               Konstruk        CR
## 1        SosialEkonomi 0.2037489
## 2 AktivitasNonAkademik 0.2898675
## 3     PrestasiAkademik 0.6673638

Structural Equation Modeling (SEM)

model_sem <- '
  SosialEkonomi =~ Income + Hometown + English + Computer + Job
  AktivitasNonAkademik =~ Extra + Gaming + Preparation + Attendance
  PrestasiAkademik =~ Last + Semester + Overall + HSC 
  PrestasiAkademik ~ SosialEkonomi + AktivitasNonAkademik
'

fit_sem <- sem(model_sem, data = data_z, std.lv = TRUE)
summary(fit_sem, fit.measures = TRUE, standardized = TRUE)
## lavaan 0.6-21 ended normally after 38 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        29
## 
##   Number of observations                           493
## 
## Model Test User Model:
##                                                       
##   Test statistic                               197.603
##   Degrees of freedom                                62
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                              1607.493
##   Degrees of freedom                                78
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.911
##   Tucker-Lewis Index (TLI)                       0.888
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)              -8382.525
##   Loglikelihood unrestricted model (H1)      -8283.724
##                                                       
##   Akaike (AIC)                               16823.051
##   Bayesian (BIC)                             16944.866
##   Sample-size adjusted Bayesian (SABIC)      16852.819
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.067
##   90 Percent confidence interval - lower         0.056
##   90 Percent confidence interval - upper         0.077
##   P-value H_0: RMSEA <= 0.050                    0.005
##   P-value H_0: RMSEA >= 0.080                    0.018
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.058
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                           Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   SosialEkonomi =~                                                             
##     Income                   0.056    0.055    1.017    0.309    0.056    0.056
##     Hometown                 0.334    0.076    4.380    0.000    0.334    0.335
##     English                 -0.194    0.061   -3.164    0.002   -0.194   -0.194
##     Computer                -0.809    0.153   -5.298    0.000   -0.809   -0.810
##     Job                     -0.064    0.055   -1.153    0.249   -0.064   -0.064
##   AktivitasNonAkademik =~                                                      
##     Extra                    0.414    0.051    8.170    0.000    0.414    0.414
##     Gaming                  -0.511    0.050  -10.236    0.000   -0.511   -0.512
##     Preparation              0.483    0.050    9.639    0.000    0.483    0.484
##     Attendance               0.544    0.050   10.925    0.000    0.544    0.545
##   PrestasiAkademik =~                                                          
##     Last                     0.573    0.050   11.512    0.000    0.969    0.970
##     Semester                -0.090    0.028   -3.226    0.001   -0.152   -0.152
##     Overall                  0.563    0.049   11.609    0.000    0.952    0.953
##     HSC                      0.154    0.029    5.263    0.000    0.260    0.260
## 
## Regressions:
##                      Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   PrestasiAkademik ~                                                      
##     SosialEkonomi      -0.326    0.108   -3.018    0.003   -0.193   -0.193
##     AktivtsNnAkdmk      1.311    0.176    7.457    0.000    0.775    0.775
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   SosialEkonomi ~~                                                      
##     AktivtsNnAkdmk   -0.039    0.073   -0.537    0.592   -0.039   -0.039
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .Income            0.995    0.063   15.676    0.000    0.995    0.997
##    .Hometown          0.886    0.070   12.613    0.000    0.886    0.888
##    .English           0.960    0.063   15.164    0.000    0.960    0.962
##    .Computer          0.344    0.241    1.429    0.153    0.344    0.345
##    .Job               0.994    0.063   15.668    0.000    0.994    0.996
##    .Extra             0.827    0.057   14.476    0.000    0.827    0.828
##    .Gaming            0.736    0.055   13.509    0.000    0.736    0.738
##    .Preparation       0.764    0.055   13.843    0.000    0.764    0.766
##    .Attendance        0.702    0.054   13.044    0.000    0.702    0.703
##    .Last              0.059    0.021    2.793    0.005    0.059    0.059
##    .Semester          0.975    0.062   15.686    0.000    0.975    0.977
##    .Overall           0.091    0.021    4.352    0.000    0.091    0.091
##    .HSC               0.930    0.059   15.657    0.000    0.930    0.932
##     SosialEkonomi     1.000                               1.000    1.000
##     AktivtsNnAkdmk    1.000                               1.000    1.000
##    .PrestasiAkadmk    1.000                               0.350    0.350

Visualisasi SEM

library(semPlot)
semPaths(
  object = fit_sem,
  what = "path",
  whatLabels = "std",
  style = "ram",
  layout = "tree",
  rotation = 2,
  sizeMan = 7,
  sizeLat = 7,
  color = "lightgray",
  edge.label.cex = 1.2,
  label.cex = 1.3
)