Strukturan Equation Modelling (SEM) with LISREL

Contoh mengerjakan analisis SEM dengan LISREL untuk uji normalitas : (Download di sini)

A. UJI NORMALITAS

Hasil output berkenaan dengan normalitas univariat dan multivariate:

Test of Univariate Normality for Continuous Variables

Skewness Kurtosis Skewness and Kurtosis

Variable Z-Score P-Value Z-Score P-Value Chi-Square P-Value

X1 -2.094 0.036 0.051 0.959 4.388 0.111
X2 -1.509 0.131 -0.668 0.504 2.725 0.256
X3 -1.624 0.104 -1.206 0.228 4.091 0.129
X4 -1.870 0.061 0.948 0.343 4.396 0.111
X5 -1.816 0.069 -1.531 0.126 5.639 0.060
X6 -1.757 0.079 -0.478 0.632 3.316 0.191
X7 -1.882 0.060 -0.516 0.606 3.807 0.149
X8 -2.516 0.012 0.913 0.361 7.163 0.028
X9 -1.269 0.204 -0.562 0.574 1.927 0.382
X10 -1.903 0.057 -1.578 0.115 6.111 0.047
X11 -0.041 0.967 -1.690 0.091 2.858 0.239
X12 -1.080 0.280 -0.983 0.326 2.131 0.345
X13 -2.510 0.012 1.051 0.293 7.405 0.025
X14 -2.418 0.016 0.865 0.387 6.596 0.037
X15 -1.803 0.071 -0.270 0.787 3.324 0.190
X16 -1.913 0.056 0.049 0.961 3.661 0.160
X17 -1.946 0.052 -0.473 0.636 4.009 0.135
X18 -2.204 0.028 -0.613 0.540 5.231 0.073
X19 -1.782 0.075 -0.196 0.844 3.212 0.201
X20 -1.858 0.063 -0.028 0.978 3.451 0.178
X21 -2.090 0.037 -0.876 0.381 5.134 0.077
X22 -1.971 0.049 0.995 0.320 4.877 0.087
X23 -1.913 0.056 -1.214 0.225 5.132 0.077
X24 -2.068 0.039 0.246 0.806 4.336 0.114
X25 -1.749 0.080 -0.185 0.853 3.093 0.213
X26 -1.801 0.072 0.654 0.513 3.671 0.160
X27 -1.177 0.239 -0.418 0.676 1.561 0.458
X28 -1.543 0.123 -1.302 0.193 4.075 0.130
X29 -1.948 0.051 -0.499 0.618 4.044 0.132

Relative Multivariate Kurtosis = 1.292

Test of Multivariate Normality for Continuous Variables

Skewness Kurtosis Skewness and Kurtosis

Value Z-Score P-Value Value Z-Score P-Value Chi-Square P-Value
—— ——- ——- ——- ——- ——- ———- ——-
536.810 45.219 0.000 278.142 13.531 0.000 2227.801 0.000

HASIL ANALISIS:
Nilai P-value pada output di atas menunjukkan ada beberapa data yang memiliki ketidak normalan univariat maupun multivariate karena nilai P-valuenya kurang dari 0,05 pada olom skewness.
Sehingga data perlu di normalkan.
Test of Univariate Normality for Continuous Variables

Skewness Kurtosis Skewness and Kurtosis

Variable Z-Score P-Value Z-Score P-Value Chi-Square P-Value

X1 -0.297 0.767 -0.694 0.488 0.570 0.752
X2 -0.284 0.776 -0.475 0.635 0.306 0.858
X3 -0.425 0.671 -0.324 0.746 0.285 0.867
X4 -0.271 0.786 -0.285 0.775 0.155 0.925
X5 -0.627 0.531 -1.159 0.246 1.738 0.419
X6 -0.133 0.894 -0.093 0.926 0.026 0.987
X7 -0.179 0.858 -0.075 0.940 0.038 0.981
X8 -0.270 0.787 -0.013 0.990 0.073 0.964
X9 -0.298 0.765 -0.400 0.689 0.249 0.883
X10 -0.179 0.858 -0.558 0.577 0.343 0.842
X11 0.041 0.967 -0.084 0.933 0.009 0.996
X12 -0.515 0.607 -0.862 0.389 1.008 0.604
X13 -0.245 0.807 0.067 0.946 0.064 0.968
X14 -0.396 0.692 -0.414 0.679 0.329 0.848
X15 -0.418 0.676 -0.615 0.538 0.553 0.758
X16 -0.124 0.901 -0.009 0.993 0.015 0.992
X17 -0.246 0.805 -0.285 0.776 0.142 0.932
X18 -0.821 0.412 -1.100 0.272 1.883 0.390
Y1 -0.228 0.820 -0.780 0.435 0.661 0.719
Y2 -0.274 0.784 -0.411 0.681 0.244 0.885
Y3 -0.539 0.590 -0.392 0.695 0.444 0.801
Y4 -0.220 0.826 -0.022 0.983 0.049 0.976
Y5 -0.574 0.566 -1.093 0.274 1.524 0.467
Y6 -0.235 0.814 0.069 0.945 0.060 0.970
Y7 -0.101 0.919 0.021 0.984 0.011 0.995
Y8 -0.164 0.870 0.053 0.957 0.030 0.985
Y9 -0.107 0.915 -0.162 0.871 0.038 0.981
Y10 -0.107 0.914 -0.084 0.933 0.019 0.991
Y11 -0.423 0.672 -0.433 0.665 0.366 0.833

Relative Multivariate Kurtosis = 1.296
Setelah data dinormalkan ternyata hasilnya sangat mengehutkan yaitu nilai P-value sangat jauh di atas 0,05 sehingga dapat dikatakan sekarang data memiliki tingkat normalitas yang sangat baik.

EVALUASI OUTLIERS
Data terbebas dari univariat analisis apabila memiliki P-value skewness dan kurtosis lebih besar dari 0,05.
Asumsi multivariate normality dipenuhi jika P-value skewness dan kurtosis lebih besar dari 0,05.
Data di atas menunjukkan tidak normal secara simultan, karena masih ada yang berada di bawah angka 0,05.

Covariances: Estimate S.E. C.R. Label
———— ——– ——- ——- ——-

KAPABILITAS <——-> INTEGRASI 0.209 0.212 0.989
KAPABILITAS <——> KOMUNIKASI 0.715 0.206 3.469
KOMITMEN <———> KOMUNIKASI 0.769 0.181 4.245
INTEGRASI <——–> KOMUNIKASI 0.772 0.224 3.448
INTEGRASI <——> KOMPREHENSIF 0.806 0.213 3.785
KAPABILITAS <——–> KOMITMEN 0.162 0.137 1.177
KAPABILITAS <—-> KOMPREHENSIF 0.214 0.160 1.340
KOMITMEN <——-> KOMPREHENSIF 0.506 0.146 3.455
KOMUNIKASI <—–> KOMPREHENSIF 0.613 0.179 3.422
KOMITMEN <———-> INTEGRASI 0.768 0.194 3.966

Correlations: Estimate
————- ——–

KAPABILITAS <——-> INTEGRASI 0.102
KAPABILITAS <——> KOMUNIKASI 0.410
KOMITMEN <———> KOMUNIKASI 0.620
INTEGRASI <——–> KOMUNIKASI 0.394
INTEGRASI <——> KOMPREHENSIF 0.475
KAPABILITAS <——–> KOMITMEN 0.124
KAPABILITAS <—-> KOMPREHENSIF 0.142
KOMITMEN <——-> KOMPREHENSIF 0.471
KOMUNIKASI <—–> KOMPREHENSIF 0.426
KOMITMEN <———-> INTEGRASI 0.525

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