Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:34 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a two-level CFA
  	mixture model with continuous factor
  	indicators
  DATA:	FILE IS ex10.4.dat;
  VARIABLE:	NAMES ARE y1-y5 class clus;
  	USEVARIABLES = y1-y5;
  	CLASSES = c (2);
  	CLUSTER = clus;
  ANALYSIS:	TYPE = TWOLEVEL MIXTURE;
  	STARTS = 0;
  MODEL:	
  	%WITHIN%
  	%OVERALL%
  	fw BY y1-y5;	
  	%BETWEEN%
  	%OVERALL%
  	fb BY y1-y5;
  	c#1*1;
  	%c#1%
  	[fb*2];
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a two-level CFA
mixture model with continuous factor
indicators

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of dependent variables                                    5
Number of independent variables                                  0
Number of continuous latent variables                            2
Number of categorical latent variables                           1

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5

Continuous latent variables
   FW          FB

Categorical latent variables
   C

Variables with special functions

  Cluster variable      CLUS

Estimator                                                      MLR
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 algorithm                                         EMA
Integration Specifications
  Type                                                    STANDARD
  Number of integration points                                  15
  Dimensions of numerical integration                            2
  Adaptive quadrature                                           ON
Cholesky                                                       OFF

Input data file(s)
  ex10.4.dat
Input data format  FREE


SUMMARY OF DATA

     Number of clusters                        110




THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       23

Loglikelihood

          H0 Value                       -5334.228
          H0 Scaling Correction Factor      0.9313
            for MLR

Information Criteria

          Akaike (AIC)                   10714.456
          Bayesian (BIC)                 10827.334
          Sample-Size Adjusted BIC       10754.285
            (n* = (n + 2) / 24)



FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASS PATTERNS
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1        503.78921          0.50379
       2        496.21079          0.49621


CLASSIFICATION QUALITY

     Entropy                         0.538


CLASSIFICATION OF INDIVIDUALS BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              505          0.50500
       2              495          0.49500


Average Latent Class Probabilities for Most Likely Latent Class Membership (Row)
by Latent Class (Column)

           1        2

    1   0.861    0.139
    2   0.139    0.861


MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Within Level

Latent Class 1

 FW       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 0.859      0.045     19.226      0.000
    Y3                 0.720      0.038     18.919      0.000
    Y4                 0.794      0.043     18.548      0.000
    Y5                 0.746      0.041     18.213      0.000

 Variances
    FW                 0.781      0.096      8.156      0.000

 Residual Variances
    Y1                 0.263      0.018     14.340      0.000
    Y2                 0.240      0.015     16.219      0.000
    Y3                 0.245      0.013     18.948      0.000
    Y4                 0.242      0.014     17.447      0.000
    Y5                 0.264      0.013     20.631      0.000

Latent Class 2

 FW       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 0.859      0.045     19.226      0.000
    Y3                 0.720      0.038     18.919      0.000
    Y4                 0.794      0.043     18.548      0.000
    Y5                 0.746      0.041     18.213      0.000

 Variances
    FW                 0.781      0.096      8.156      0.000

 Residual Variances
    Y1                 0.263      0.018     14.340      0.000
    Y2                 0.240      0.015     16.219      0.000
    Y3                 0.245      0.013     18.948      0.000
    Y4                 0.242      0.014     17.447      0.000
    Y5                 0.264      0.013     20.631      0.000

Between Level

Latent Class 1

 FB       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 0.773      0.024     31.776      0.000
    Y3                 0.824      0.024     34.227      0.000
    Y4                 0.769      0.023     33.965      0.000
    Y5                 0.807      0.025     31.935      0.000

 Means
    FB                 2.180      0.119     18.344      0.000

 Intercepts
    Y1                -0.020      0.116     -0.172      0.864
    Y2                -0.015      0.092     -0.163      0.871
    Y3                -0.074      0.095     -0.777      0.437
    Y4                 0.010      0.089      0.117      0.907
    Y5                -0.067      0.096     -0.702      0.483

 Variances
    FB                 0.411      0.097      4.238      0.000

Latent Class 2

 FB       BY
    Y1                 1.000      0.000    999.000    999.000
    Y2                 0.773      0.024     31.776      0.000
    Y3                 0.824      0.024     34.227      0.000
    Y4                 0.769      0.023     33.965      0.000
    Y5                 0.807      0.025     31.935      0.000

 Means
    FB                 0.000      0.000    999.000    999.000

 Intercepts
    Y1                -0.020      0.116     -0.172      0.864
    Y2                -0.015      0.092     -0.163      0.871
    Y3                -0.074      0.095     -0.777      0.437
    Y4                 0.010      0.089      0.117      0.907
    Y5                -0.067      0.096     -0.702      0.483

 Variances
    FB                 0.411      0.097      4.238      0.000

Categorical Latent Variables

Within Level

 Means
    C#1                0.038      0.206      0.186      0.853

Between Level

 Variances
    C#1                0.986      0.379      2.600      0.009


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.300E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1                 0             0             0
 Y2                 1             0             0
 Y3                 2             0             0
 Y4                 3             0             0
 Y5                 4             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8
 Y5                 0             0             0             0             9


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1                  0             0             0


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW                 0             0             0
 C#1                0             0             0
 FB                 0             0             0


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW                10
 C#1                0             0
 FB                 0             0             0


     PARAMETER SPECIFICATION FOR WITHIN LEVEL, LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1                 0             0             0
 Y2                 1             0             0
 Y3                 2             0             0
 Y4                 3             0             0
 Y5                 4             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8
 Y5                 0             0             0             0             9


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1                  0             0             0


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW                 0             0             0
 C#1                0             0             0
 FB                 0             0             0


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW                10
 C#1                0             0
 FB                 0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1                 11            12            13            14            15


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0            16
 Y3                 0             0            17
 Y4                 0             0            18
 Y5                 0             0            19


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0
 Y4                 0             0             0             0
 Y5                 0             0             0             0             0


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1                  0             0            20


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW                 0             0             0
 C#1                0             0             0
 FB                 0             0             0


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW                 0
 C#1                0            21
 FB                 0             0            22


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL, LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1                 11            12            13            14            15


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0            16
 Y3                 0             0            17
 Y4                 0             0            18
 Y5                 0             0            19


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0
 Y4                 0             0             0             0
 Y5                 0             0             0             0             0


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1                  0             0             0


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW                 0             0             0
 C#1                0             0             0
 FB                 0             0             0


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW                 0
 C#1                0            21
 FB                 0             0            22


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
 1                 23             0


           GAMMA(C)
              FW            C#1           FB
              ________      ________      ________
 C#1                0             0             0
 C#2                0             0             0


     STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         0.000         0.000
 Y3             1.000         0.000         0.000
 Y4             1.000         0.000         0.000
 Y5             1.000         0.000         0.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.302
 Y2             0.000         0.874
 Y3             0.000         0.000         0.855
 Y4             0.000         0.000         0.000         0.828
 Y5             0.000         0.000         0.000         0.000         0.857


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1              0.000         0.000         0.000


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW             0.000         0.000         0.000
 C#1            0.000         0.000         0.000
 FB             0.000         0.000         0.000


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW             0.050
 C#1            0.000         0.000
 FB             0.000         0.000         0.000


     STARTING VALUES FOR WITHIN LEVEL, LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         0.000         0.000
 Y3             1.000         0.000         0.000
 Y4             1.000         0.000         0.000
 Y5             1.000         0.000         0.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.302
 Y2             0.000         0.874
 Y3             0.000         0.000         0.855
 Y4             0.000         0.000         0.000         0.828
 Y5             0.000         0.000         0.000         0.000         0.857


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1              0.000         0.000         0.000


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW             0.000         0.000         0.000
 C#1            0.000         0.000         0.000
 FB             0.000         0.000         0.000


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW             0.050
 C#1            0.000         0.000
 FB             0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 1


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              1.081         0.836         0.833         0.856         0.820


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1             0.000         0.000         1.000
 Y2             0.000         0.000         1.000
 Y3             0.000         0.000         1.000
 Y4             0.000         0.000         1.000
 Y5             0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1              0.000         0.000         2.000


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW             0.000         0.000         0.000
 C#1            0.000         0.000         0.000
 FB             0.000         0.000         0.000


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW             0.000
 C#1            0.000         1.000
 FB             0.000         0.000         0.050


     STARTING VALUES FOR BETWEEN LEVEL, LATENT CLASS 2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              1.081         0.836         0.833         0.856         0.820


           LAMBDA
              FW            C#1           FB
              ________      ________      ________
 Y1             0.000         0.000         1.000
 Y2             0.000         0.000         1.000
 Y3             0.000         0.000         1.000
 Y4             0.000         0.000         1.000
 Y5             0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 Y5             0.000         0.000         0.000         0.000         0.000


           ALPHA
              FW            C#1           FB
              ________      ________      ________
 1              0.000         0.000         0.000


           BETA
              FW            C#1           FB
              ________      ________      ________
 FW             0.000         0.000         0.000
 C#1            0.000         0.000         0.000
 FB             0.000         0.000         0.000


           PSI
              FW            C#1           FB
              ________      ________      ________
 FW             0.000
 C#1            0.000         1.000
 FB             0.000         0.000         0.050


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
 1              0.000         0.000


           GAMMA(C)
              FW            C#1           FB
              ________      ________      ________
 C#1            0.000         0.000         0.000
 C#2            0.000         0.000         0.000


TECHNICAL 8 OUTPUT


  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE      CLASS COUNTS    ALGORITHM
     1 -0.71385025D+04    0.0000000    0.0000000    322.751   677.249    EM
     2 -0.54016583D+04 1736.8442273    0.2433065    362.038   637.962    EM
     3 -0.53656968D+04   35.9614698    0.0066575    380.215   619.785    EM
     4 -0.53570598D+04    8.6370461    0.0016097    387.263   612.737    EM
     5 -0.53531385D+04    3.9213044    0.0007320    390.235   609.765    EM
     6 -0.53504495D+04    2.6890134    0.0005023    392.065   607.935    EM
     7 -0.53483075D+04    2.1419749    0.0004003    393.867   606.133    EM
     8 -0.53465240D+04    1.7835432    0.0003335    396.028   603.972    EM
     9 -0.53450166D+04    1.5073242    0.0002819    398.648   601.352    EM
    10 -0.53437339D+04    1.2827447    0.0002400    401.711   598.289    EM
    11 -0.53426365D+04    1.0973992    0.0002054    405.152   594.848    EM
    12 -0.53416922D+04    0.9442880    0.0001767    408.892   591.108    EM
    13 -0.53408740D+04    0.8181727    0.0001532    412.850   587.150    EM
    14 -0.53401596D+04    0.7144798    0.0001338    416.948   583.052    EM
    15 -0.53395305D+04    0.6290347    0.0001178    421.119   578.881    EM
    16 -0.53389724D+04    0.5580863    0.0001045    425.304   574.696    EM
    17 -0.53384740D+04    0.4983911    0.0000933    429.453   570.547    EM
    18 -0.53380267D+04    0.4473351    0.0000838    433.526   566.474    EM
    19 -0.53376237D+04    0.4030139    0.0000755    437.492   562.508    EM
    20 -0.53372596D+04    0.3641231    0.0000682    441.329   558.671    EM
    21 -0.53369299D+04    0.3296511    0.0000618    445.024   554.976    EM
    22 -0.53366312D+04    0.2987049    0.0000560    448.569   551.431    EM
    23 -0.53363607D+04    0.2705250    0.0000507    451.959   548.041    EM
    24 -0.53361162D+04    0.2445013    0.0000458    455.188   544.812    EM
    25 -0.53358961D+04    0.2201340    0.0000413    458.254   541.746    EM
    26 -0.53356990D+04    0.1970505    0.0000369    461.152   538.848    EM
    27 -0.53355239D+04    0.1750847    0.0000328    463.881   536.119    EM
    28 -0.53353695D+04    0.1543897    0.0000289    466.441   533.559    EM
    29 -0.53352341D+04    0.1354251    0.0000254    468.835   531.165    EM
    30 -0.53351155D+04    0.1186212    0.0000222    471.074   528.926    EM
    31 -0.53350114D+04    0.1040457    0.0000195    473.167   526.833    EM
    32 -0.53349200D+04    0.0914558    0.0000171    475.127   524.873    EM
    33 -0.53348394D+04    0.0805482    0.0000151    476.963   523.037    EM
    34 -0.53347684D+04    0.0710666    0.0000133    478.683   521.317    EM
    35 -0.53347056D+04    0.0627984    0.0000118    480.295   519.705    EM
    36 -0.53346500D+04    0.0555644    0.0000104    481.806   518.194    EM
    37 -0.53343622D+04    0.2878536    0.0000540    503.788   496.212    FS
    38 -0.53342446D+04    0.1175446    0.0000220    503.826   496.174    EM
    39 -0.53342353D+04    0.0092878    0.0000017    503.812   496.188    EM
    40 -0.53342316D+04    0.0037274    0.0000007    503.802   496.198    EM
    41 -0.53342297D+04    0.0019161    0.0000004    503.795   496.205    EM
    42 -0.53342286D+04    0.0011245    0.0000002    503.791   496.209    EM
    43 -0.53342278D+04    0.0007124    0.0000001    503.789   496.211    EM


     Beginning Time:  22:34:14
        Ending Time:  22:34:24
       Elapsed Time:  00:00:10



MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA  90066

Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com

Copyright (c) 1998-2012 Muthen & Muthen

Back to examples