Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:10 PM
INPUT INSTRUCTIONS
TITLE: this is an example of an exploratory factor
mixture analysis with continuous latent class indicators
DATA: FILE = ex4.4.dat;
VARIABLE: NAMES = y1-y8;
CLASSES = c(2);
ANALYSIS: TYPE = MIXTURE EFA 1 2;
INPUT READING TERMINATED NORMALLY
this is an example of an exploratory factor
mixture analysis with continuous latent class indicators
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 2000
Number of dependent variables 8
Number of independent variables 0
Number of continuous latent variables 0
Number of categorical latent variables 1
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5 Y6
Y7 Y8
Categorical latent variables
C
Estimator MLR
Rotation GEOMIN
Row standardization CORRELATION
Type of rotation OBLIQUE
Epsilon value Varies
Information matrix OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
Maximum number of iterations 100
Convergence criterion 0.100D-05
Optimization Specifications for the EM Algorithm
Maximum number of iterations 500
Convergence criteria
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Maximum value for logit thresholds 15
Minimum value for logit thresholds -15
Minimum expected cell size for chi-square 0.100D-01
Optimization Specifications for the Exploratory Factor Analysis
Rotation Algorithm
Number of random starts 30
Maximum number of iterations 10000
Derivative convergence criterion 0.100D-04
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 7
Dimensions of numerical integration 0
Adaptive quadrature OFF
Random Starts Specifications
Number of random starts 10
Cholesky OFF
Input data file(s)
ex4.4.dat
Input data format FREE
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 0.504 0.273 -3.715 0.05% -1.197 -0.354 0.313
2000.000 3.347 -0.823 5.732 0.05% 0.987 2.314
Y2 0.478 0.282 -3.603 0.05% -1.236 -0.340 0.229
2000.000 3.259 -0.839 5.913 0.05% 0.932 2.281
Y3 0.515 0.230 -4.109 0.05% -1.239 -0.302 0.341
2000.000 3.368 -0.852 6.070 0.05% 1.048 2.356
Y4 0.512 0.278 -3.774 0.05% -1.218 -0.362 0.260
2000.000 3.326 -0.908 5.336 0.05% 1.013 2.305
Y5 0.459 0.284 -4.301 0.05% -1.244 -0.394 0.199
2000.000 3.309 -0.825 5.783 0.05% 0.962 2.257
Y6 0.476 0.289 -3.565 0.05% -1.226 -0.346 0.253
2000.000 3.194 -0.806 6.094 0.05% 0.918 2.213
Y7 0.464 0.317 -3.551 0.05% -1.248 -0.386 0.214
2000.000 3.298 -0.802 5.963 0.05% 0.922 2.242
Y8 0.418 0.296 -3.904 0.05% -1.279 -0.397 0.145
2000.000 3.306 -0.841 6.635 0.05% 0.876 2.189
RESULTS FOR EXPLORATORY FACTOR ANALYSIS
EXPLORATORY FACTOR ANALYSIS WITH 1 FACTOR(S):
Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:
-22252.728 253358 2
-22252.728 939021 8
-22252.728 608496 4
-22252.728 903420 5
-22252.728 93468 3
-23115.086 462953 7
-23115.086 285380 1
-23115.086 unperturbed 0
-23115.086 415931 10
-23115.086 127215 9
EXPLORATORY FACTOR ANALYSIS WITH 1 FACTOR(S):
MODEL FIT INFORMATION
Number of Free Parameters 49
Loglikelihood
H0 Value -22252.728
H0 Scaling Correction Factor 1.0137
for MLR
Information Criteria
Akaike (AIC) 44603.457
Bayesian (BIC) 44877.901
Sample-Size Adjusted BIC 44722.225
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 1010.64213 0.50532
2 989.35787 0.49468
CLASSIFICATION QUALITY
Entropy 0.981
CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY
LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 1012 0.50600
2 988 0.49400
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.994 0.006
2 0.005 0.995
MINIMUM ROTATION FUNCTION VALUE 2.67910
RESULTS FOR CLASS 1
GEOMIN ROTATED LOADINGS (* significant at 5% level)
1
________
Y1 0.793*
Y2 0.815*
Y3 0.831*
Y4 0.830*
Y5 -0.027
Y6 -0.008
Y7 0.049
Y8 -0.054
GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
1
________
1 1.000
ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.372 0.335 0.309 0.311 0.999
ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
1.000 0.998 0.997
S.E. GEOMIN ROTATED LOADINGS
1
________
Y1 0.015
Y2 0.014
Y3 0.014
Y4 0.014
Y5 0.036
Y6 0.037
Y7 0.038
Y8 0.037
S.E. GEOMIN FACTOR CORRELATIONS
1
________
1 0.000
S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.023 0.024 0.023 0.023 0.002
S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
0.001 0.004 0.004
Est./S.E. GEOMIN ROTATED LOADINGS
1
________
Y1 53.980
Y2 56.257
Y3 58.849
Y4 61.170
Y5 -0.756
Y6 -0.210
Y7 1.289
Y8 -1.433
Est./S.E. GEOMIN FACTOR CORRELATIONS
1
________
1 0.000
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
15.971 14.172 13.189 13.836 515.041
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
1739.365 269.101 247.914
ESTIMATED MEANS
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1.972 1.932 1.990 1.985 -1.005
ESTIMATED MEANS
Y6 Y7 Y8
________ ________ ________
-0.967 -0.998 -1.035
EXPLORATORY FACTOR ANALYSIS WITH 1 FACTOR(S):
MINIMUM ROTATION FUNCTION VALUE 2.67706
RESULTS FOR CLASS 2
GEOMIN ROTATED LOADINGS (* significant at 5% level)
1
________
Y1 -0.004
Y2 0.016
Y3 0.041
Y4 -0.038
Y5 0.809*
Y6 0.829*
Y7 0.818*
Y8 0.814*
GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
1
________
1 1.000
ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1.000 1.000 0.998 0.999 0.345
ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
0.313 0.330 0.338
S.E. GEOMIN ROTATED LOADINGS
1
________
Y1 0.036
Y2 0.040
Y3 0.038
Y4 0.036
Y5 0.014
Y6 0.015
Y7 0.014
Y8 0.014
S.E. GEOMIN FACTOR CORRELATIONS
1
________
1 0.000
S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.000 0.001 0.003 0.003 0.023
S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
0.024 0.023 0.023
Est./S.E. GEOMIN ROTATED LOADINGS
1
________
Y1 -0.122
Y2 0.398
Y3 1.064
Y4 -1.064
Y5 56.643
Y6 57.026
Y7 57.967
Y8 58.703
Est./S.E. GEOMIN FACTOR CORRELATIONS
1
________
1 0.000
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
3108.752 799.993 320.686 364.651 14.931
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
13.017 14.303 14.990
ESTIMATED MEANS
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
-0.995 -1.006 -0.991 -0.993 1.956
ESTIMATED MEANS
Y6 Y7 Y8
________ ________ ________
1.949 1.959 1.903
EXPLORATORY FACTOR ANALYSIS WITH 2 FACTOR(S):
Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:
-21811.113 127215 9
-21811.113 195873 6
-21811.113 939021 8
-21811.113 608496 4
-21811.113 unperturbed 0
-21811.113 93468 3
-21811.113 903420 5
-21811.113 462953 7
-21811.113 415931 10
-21811.113 285380 1
EXPLORATORY FACTOR ANALYSIS WITH 2 FACTOR(S):
MODEL FIT INFORMATION
Number of Free Parameters 63
Loglikelihood
H0 Value -21811.113
H0 Scaling Correction Factor 1.0048
for MLR
Information Criteria
Akaike (AIC) 43748.226
Bayesian (BIC) 44101.083
Sample-Size Adjusted BIC 43900.929
(n* = (n + 2) / 24)
FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THE ESTIMATED MODEL
Latent
Classes
1 991.61067 0.49581
2 1008.38933 0.50419
CLASSIFICATION QUALITY
Entropy 0.974
CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY
LATENT CLASS MEMBERSHIP
Class Counts and Proportions
Latent
Classes
1 990 0.49500
2 1010 0.50500
Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)
1 2
1 0.994 0.006
2 0.008 0.992
MINIMUM ROTATION FUNCTION VALUE 0.09883
RESULTS FOR CLASS 1
GEOMIN ROTATED LOADINGS (* significant at 5% level)
1 2
________ ________
Y1 0.557* -0.012
Y2 0.530* 0.007
Y3 0.593* 0.038
Y4 0.518* -0.045
Y5 -0.008 0.812*
Y6 0.007 0.830*
Y7 0.001 0.820*
Y8 0.000 0.815*
GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
1 2
________ ________
1 1.000
2 0.007 1.000
ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.690 0.719 0.646 0.730 0.341
ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
0.311 0.328 0.336
S.E. GEOMIN ROTATED LOADINGS
1 2
________ ________
Y1 0.036 0.025
Y2 0.036 0.015
Y3 0.035 0.037
Y4 0.036 0.034
Y5 0.024 0.014
Y6 0.022 0.015
Y7 0.019 0.014
Y8 0.019 0.014
S.E. GEOMIN FACTOR CORRELATIONS
1 2
________ ________
1 0.000
2 0.056 0.000
S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.041 0.038 0.041 0.038 0.023
S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
0.024 0.023 0.023
Est./S.E. GEOMIN ROTATED LOADINGS
1 2
________ ________
Y1 15.295 -0.453
Y2 14.606 0.458
Y3 17.100 1.023
Y4 14.332 -1.293
Y5 -0.336 57.201
Y6 0.314 57.180
Y7 0.034 58.367
Y8 -0.014 58.873
Est./S.E. GEOMIN FACTOR CORRELATIONS
1 2
________ ________
1 0.000
2 0.132 0.000
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
16.974 18.730 15.759 19.400 14.710
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
12.949 14.252 14.911
FACTOR STRUCTURE
1 2
________ ________
Y1 0.557 -0.007
Y2 0.530 0.011
Y3 0.593 0.042
Y4 0.518 -0.041
Y5 -0.002 0.812
Y6 0.013 0.830
Y7 0.007 0.820
Y8 0.006 0.815
ESTIMATED MEANS
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
-0.995 -1.005 -0.992 -0.992 1.948
ESTIMATED MEANS
Y6 Y7 Y8
________ ________ ________
1.943 1.953 1.897
EXPLORATORY FACTOR ANALYSIS WITH 2 FACTOR(S):
MINIMUM ROTATION FUNCTION VALUE 0.15342
RESULTS FOR CLASS 2
GEOMIN ROTATED LOADINGS (* significant at 5% level)
1 2
________ ________
Y1 0.788* -0.010
Y2 0.814* 0.002
Y3 0.826* -0.006
Y4 0.830* 0.052
Y5 -0.017 0.571*
Y6 0.014 0.557*
Y7 0.071 0.553*
Y8 -0.036 0.540*
GEOMIN FACTOR CORRELATIONS (* significant at 5% level)
1 2
________ ________
1 1.000
2 -0.041 1.000
ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.378 0.338 0.316 0.313 0.673
ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
0.690 0.692 0.706
S.E. GEOMIN ROTATED LOADINGS
1 2
________ ________
Y1 0.014 0.023
Y2 0.015 0.015
Y3 0.014 0.020
Y4 0.014 0.027
Y5 0.024 0.033
Y6 0.017 0.034
Y7 0.036 0.034
Y8 0.037 0.035
S.E. GEOMIN FACTOR CORRELATIONS
1 2
________ ________
1 0.000
2 0.050 0.000
S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.022 0.024 0.023 0.022 0.037
S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
0.038 0.038 0.038
Est./S.E. GEOMIN ROTATED LOADINGS
1 2
________ ________
Y1 56.003 -0.434
Y2 55.284 0.111
Y3 60.396 -0.305
Y4 60.341 1.909
Y5 -0.713 17.566
Y6 0.808 16.546
Y7 1.956 16.052
Y8 -0.969 15.493
Est./S.E. GEOMIN FACTOR CORRELATIONS
1 2
________ ________
1 0.000
2 -0.820 0.000
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
16.956 14.060 13.964 14.159 18.166
Est./S.E. ESTIMATED RESIDUAL VARIANCES
Y6 Y7 Y8
________ ________ ________
18.342 18.185 18.795
FACTOR STRUCTURE
1 2
________ ________
Y1 0.789 -0.042
Y2 0.814 -0.032
Y3 0.827 -0.040
Y4 0.827 0.018
Y5 -0.040 0.572
Y6 -0.009 0.557
Y7 0.048 0.550
Y8 -0.058 0.541
ESTIMATED MEANS
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
1.978 1.937 1.997 1.992 -1.004
ESTIMATED MEANS
Y6 Y7 Y8
________ ________ ________
-0.968 -0.999 -1.036
Beginning Time: 23:10:56
Ending Time: 23:10:57
Elapsed Time: 00:00:01
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