Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:40 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



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       1010.65762          0.50533
       2        989.34238          0.49467


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
              ________      ________      ________      ________      ________
      1         0.372         0.335         0.309         0.311         0.999


           ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1         0.023         0.024         0.023         0.023         0.002


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1        15.971        14.172        13.189        13.836       515.041


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1      1739.365       269.101       247.914


           ESTIMATED MEANS
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         1.972         1.932         1.990         1.985        -1.005


           ESTIMATED MEANS
              Y6            Y7            Y8
              ________      ________      ________
      1        -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         1.000         1.000         0.998         0.999         0.345


           ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1         0.000         0.001         0.003         0.003         0.023


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1      3108.752       799.993       320.686       364.651        14.931


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1        13.017        14.303        14.990


           ESTIMATED MEANS
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1        -0.995        -1.006        -0.991        -0.993         1.956


           ESTIMATED MEANS
              Y6            Y7            Y8
              ________      ________      ________
      1         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        991.62830          0.49581
       2       1008.37170          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
              ________      ________      ________      ________      ________
      1         0.690         0.719         0.646         0.730         0.341


           ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1         0.041         0.038         0.041         0.038         0.023


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1        16.974        18.730        15.759        19.400        14.710


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1        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
              ________      ________      ________      ________      ________
      1        -0.995        -1.005        -0.992        -0.992         1.948


           ESTIMATED MEANS
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1         0.378         0.338         0.316         0.313         0.673


           ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1         0.022         0.024         0.023         0.022         0.037


           S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1        16.956        14.060        13.964        14.159        18.166


           Est./S.E. ESTIMATED RESIDUAL VARIANCES
              Y6            Y7            Y8
              ________      ________      ________
      1        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         1.978         1.937         1.997         1.992        -1.004


           ESTIMATED MEANS
              Y6            Y7            Y8
              ________      ________      ________
      1        -0.968        -0.999        -1.036


     Beginning Time:  14:40:22
        Ending Time:  14:40:23
       Elapsed Time:  00:00:01



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