Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:57 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




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                    1.081       0.005      -3.441    0.10%      -0.342      0.637      1.070
            1000.000       2.601      -0.351       5.535    0.10%       1.544      2.405
     Y2                    0.836      -0.042      -2.756    0.10%      -0.333      0.493      0.850
            1000.000       1.746      -0.417       4.350    0.10%       1.199      1.992
     Y3                    0.833      -0.027      -3.209    0.10%      -0.341      0.466      0.842
            1000.000       1.707      -0.422       4.296    0.10%       1.187      2.016
     Y4                    0.856      -0.002      -3.088    0.10%      -0.293      0.500      0.867
            1000.000       1.655      -0.366       4.582    0.10%       1.223      2.009
     Y5                    0.820      -0.027      -3.165    0.10%      -0.360      0.443      0.800
            1000.000       1.712      -0.372       4.649    0.10%       1.192      1.974


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 CLASSES
BASED ON ESTIMATED POSTERIOR PROBABILITIES

    Latent
   Classes

       1        503.78930          0.50379
       2        496.21070          0.49621


FINAL CLASS COUNTS AND PROPORTIONS FOR THE LATENT CLASSES
BASED ON THEIR MOST LIKELY LATENT CLASS MEMBERSHIP

Class Counts and Proportions

    Latent
   Classes

       1              505          0.50500
       2              495          0.49500


CLASSIFICATION QUALITY

     Entropy                         0.538


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


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

           1        2

    1   0.863    0.137
    2   0.142    0.858


Logits for the Classification Probabilities for the Most Likely Latent Class Membership (Column)
by Latent Class (Row)

              1        2

    1      1.841    0.000
    2     -1.803    0.000


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
              ________      ________      ________      ________      ________
                    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
              ________      ________      ________
                    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
              ________      ________      ________      ________      ________
                    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
              ________      ________      ________
                    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
              ________      ________      ________      ________      ________
                   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
              ________      ________      ________
                    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
              ________      ________      ________      ________      ________
                   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
              ________      ________      ________
                    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
              ________      ________
                   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
              ________      ________      ________      ________      ________
                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             1.301
 Y2             0.000         0.873
 Y3             0.000         0.000         0.854
 Y4             0.000         0.000         0.000         0.827
 Y5             0.000         0.000         0.000         0.000         0.856


           ALPHA
              FW            C#1           FB
              ________      ________      ________
                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
              ________      ________      ________      ________      ________
                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             1.301
 Y2             0.000         0.873
 Y3             0.000         0.000         0.854
 Y4             0.000         0.000         0.000         0.827
 Y5             0.000         0.000         0.000         0.000         0.856


           ALPHA
              FW            C#1           FB
              ________      ________      ________
                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
              ________      ________      ________      ________      ________
                1.081         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
              ________      ________      ________
                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
              ________      ________      ________      ________      ________
                1.081         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
              ________      ________      ________
                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
              ________      ________
                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


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.71376209D+04    0.0000000    0.0000000  EM
              2 -0.54016613D+04 1735.9595840    0.2432126  EM
              3 -0.53657018D+04   35.9595033    0.0066571  EM
              4 -0.53570703D+04    8.6314690    0.0016086  EM
              5 -0.53531499D+04    3.9203881    0.0007318  EM
              6 -0.53504601D+04    2.6898612    0.0005025  EM
              7 -0.53483168D+04    2.1432859    0.0004006  EM
              8 -0.53465319D+04    1.7849314    0.0003337  EM
              9 -0.53450232D+04    1.5086586    0.0002822  EM
             10 -0.53437392D+04    1.2839616    0.0002402  EM
             11 -0.53426408D+04    1.0984677    0.0002056  EM
             12 -0.53416956D+04    0.9451991    0.0001769  EM
             13 -0.53408766D+04    0.8189280    0.0001533  EM
             14 -0.53401615D+04    0.7150909    0.0001339  EM
             15 -0.53395320D+04    0.6295253    0.0001179  EM
             16 -0.53389736D+04    0.5584696    0.0001046  EM
             17 -0.53384749D+04    0.4986872    0.0000934  EM
             18 -0.53380273D+04    0.4475608    0.0000838  EM
             19 -0.53376241D+04    0.4031849    0.0000755  EM
             20 -0.53372599D+04    0.3642501    0.0000682  EM
             21 -0.53369301D+04    0.3297436    0.0000618  EM
             22 -0.53366314D+04    0.2987719    0.0000560  EM
             23 -0.53363608D+04    0.2705738    0.0000507  EM
             24 -0.53361162D+04    0.2445344    0.0000458  EM
             25 -0.53358961D+04    0.2201562    0.0000413  EM
             26 -0.53356990D+04    0.1970663    0.0000369  EM
             27 -0.53355239D+04    0.1750936    0.0000328  EM
             28 -0.53353695D+04    0.1543946    0.0000289  EM
             29 -0.53352341D+04    0.1354270    0.0000254  EM
             30 -0.53351155D+04    0.1186219    0.0000222  EM
             31 -0.53350114D+04    0.1040453    0.0000195  EM
             32 -0.53349200D+04    0.0914553    0.0000171  EM
             33 -0.53348394D+04    0.0805473    0.0000151  EM
             34 -0.53347684D+04    0.0710655    0.0000133  EM
             35 -0.53347056D+04    0.0627976    0.0000118  EM
             36 -0.53346500D+04    0.0555634    0.0000104  EM
             37 -0.53343622D+04    0.2878291    0.0000540  FS
             38 -0.53342446D+04    0.1175709    0.0000220  EM
             39 -0.53342353D+04    0.0092905    0.0000017  EM
             40 -0.53342316D+04    0.0037283    0.0000007  EM
             41 -0.53342297D+04    0.0019164    0.0000004  EM
             42 -0.53342286D+04    0.0011246    0.0000002  EM
             43 -0.53342278D+04    0.0007126    0.0000001  EM


     Beginning Time:  22:57:27
        Ending Time:  22:57:32
       Elapsed Time:  00:00:05



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