Mplus DEVELOPMENT (Mpdev 9/4/2025, Build 2)
MUTHEN & MUTHEN
09/05/2025  10:53 AM

INPUT INSTRUCTIONS

  Title:
      First step of 2 LCAs

  data:
      file =  LTAdistalN2K.dat;

  variable:
      NAMES = u1-u12 x1 y1 y2 x2 y3 x3 class1 class2;
      usev = u1-u12;
      missing = ALL(999);

      classes  = c1(3) c2(3);

      categorical = u1-u12;


  analysis:
      type = mixture;

      starts = 80 20;

  Model:
      %overall%


    Model C1:
    %C1#1%
    [u1$1-u6$1];


    %C1#2%
    [u1$1-u6$1];


    %C1#3%
    [u1$1-u6$1];



    Model C2:
    %C2#1%
    [u7$1-u12$1];

    %C2#2%
    [u7$1-u12$1];


    %C2#3%
    [u7$1-u12$1];


  Savedata:
      save = bchweights;
      file = bch2LCA.dat;



INPUT READING TERMINATED NORMALLY




First step of 2 LCAs

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        2000

Number of dependent variables                                   12
Number of independent variables                                  0
Number of continuous latent variables                            0
Number of categorical latent variables                           2

Observed dependent variables

  Binary and ordered categorical (ordinal)
   U1          U2          U3          U4          U5          U6
   U7          U8          U9          U10         U11         U12

Categorical latent variables
   C1          C2


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-06
    Relative loglikelihood change                        0.100D-06
    Derivative                                           0.100D-05
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-05
  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-05
  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
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03
Optimization algorithm                                         EMA
Random Starts Specifications
  Number of initial stage random starts                         80
  Number of final stage optimizations                           20
  Number of initial stage iterations                            10
  Initial stage convergence criterion                    0.100D+01
  Random starts scale                                    0.500D+01
  Random seed for generating random starts                       0
Parameterization                                             LOGIT
Link                                                         LOGIT

Input data file(s)
  LTAdistalN2K.dat
Input data format  FREE


SUMMARY OF DATA

     Number of missing data patterns             1
     Number of y missing data patterns           0
     Number of u missing data patterns           1


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES

    U1
      Category 1    0.658         1317.000
      Category 2    0.342          683.000
    U2
      Category 1    0.628         1256.000
      Category 2    0.372          744.000
    U3
      Category 1    0.632         1265.000
      Category 2    0.367          735.000
    U4
      Category 1    0.436          872.000
      Category 2    0.564         1128.000
    U5
      Category 1    0.459          918.000
      Category 2    0.541         1082.000
    U6
      Category 1    0.458          916.000
      Category 2    0.542         1084.000
    U7
      Category 1    0.638         1276.000
      Category 2    0.362          724.000
    U8
      Category 1    0.654         1309.000
      Category 2    0.345          691.000
    U9
      Category 1    0.641         1282.000
      Category 2    0.359          718.000
    U10
      Category 1    0.472          944.000
      Category 2    0.528         1056.000
    U11
      Category 1    0.456          911.000
      Category 2    0.544         1089.000
    U12
      Category 1    0.460          920.000
      Category 2    0.540         1080.000


RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST LOGLIKELIHOOD VALUES

Final stage loglikelihood values at local maxima, seeds, and initial stage start numbers:

          -14712.483  370466           41
          -14712.483  565819           65
          -14712.483  645664           39
          -14712.483  467339           66
          -14712.483  967237           48
          -14712.483  407168           44
          -14712.483  27071            15
          -14712.483  939021           8
          -14712.483  260601           36
          -14712.483  966014           37
          -14712.483  783110           72
          -14712.483  992389           77
          -14712.483  573096           20
          -14712.483  569131           26
          -14712.483  unperturbed      0
          -14712.483  462953           7
          -14712.483  830392           35
          -14712.483  432148           30
          -14712.483  366706           29
          -14712.483  568859           49



THE BEST LOGLIKELIHOOD VALUE HAS BEEN REPLICATED.  RERUN WITH AT LEAST TWICE THE
RANDOM STARTS TO CHECK THAT THE BEST LOGLIKELIHOOD IS STILL OBTAINED AND REPLICATED.


THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       40

Loglikelihood

          H0 Value                      -14712.483
          H0 Scaling Correction Factor      1.0083
            for MLR

Information Criteria

          Akaike (AIC)                   29504.967
          Bayesian (BIC)                 29729.003
          Sample-Size Adjusted BIC       29601.920
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit for the Binary and Ordered Categorical
(Ordinal) Outcomes

          Pearson Chi-Square

          Value                           4224.914
          Degrees of Freedom                  4055
          P-Value                           0.0309

          Likelihood Ratio Chi-Square

          Value                           2885.498
          Degrees of Freedom                  4055
          P-Value                           1.0000



FINAL CLASS COUNTS AND PROPORTIONS FOR EACH LATENT CLASS VARIABLE
BASED ON THE ESTIMATED MODEL

  Latent Class
    Variable    Class

    C1             1       654.82434          0.32741
                   2       829.04663          0.41452
                   3       516.12897          0.25806
    C2             1       458.33087          0.22917
                   2       610.84912          0.30542
                   3       930.82001          0.46541


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

  Latent Class
    Pattern

    1  1        150.06310          0.07503
    1  2        199.99944          0.10000
    1  3        304.76181          0.15238
    2  1        189.98883          0.09499
    2  2        253.21121          0.12661
    2  3        385.84661          0.19292
    3  1        118.27892          0.05914
    3  2        157.63847          0.07882
    3  3        240.21160          0.12011

     Additional output is available using the TECH15 option of the OUTPUT command.


LATENT TRANSITION PROBABILITIES BASED ON THE ESTIMATED MODEL

  C1 Classes (Rows) by C2 Classes (Columns)

            1        2        3

   1     0.229    0.305    0.465
   2     0.229    0.305    0.465
   3     0.229    0.305    0.465


TRANSITION PROBABILITY ODDS

     TRANSITION TABLE ODDS AND 95% CONFIDENCE INTERVALS FOR C1 TO C2
        1.000(1.000,1.000)   1.333(0.887,2.003)   2.031(1.435,2.874)
        0.750(0.499,1.128)   1.000(1.000,1.000)   1.524(1.272,1.826)
        0.492(0.348,0.697)   0.656(0.548,0.786)   1.000(1.000,1.000)


CLASSIFICATION QUALITY

     Entropy                         0.649


C-SPECIFIC CLASSIFICATION RESULTS

Classification Quality for C1

     Entropy                         0.636

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

           1        2        3

    1   0.811    0.124    0.065
    2   0.077    0.887    0.036
    3   0.131    0.023    0.847


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

           1        2        3

    1   0.797    0.098    0.105
    2   0.097    0.889    0.014
    3   0.081    0.058    0.861


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

              1        2        3

    1      2.028   -0.068    0.000
    2      1.907    4.128    0.000
    3     -2.359   -2.706    0.000

Classification Quality for C2

     Entropy                         0.662

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

           1        2        3

    1   0.701    0.131    0.168
    2   0.062    0.908    0.030
    3   0.041    0.049    0.909


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

           1        2        3

    1   0.845    0.074    0.082
    2   0.118    0.809    0.073
    3   0.100    0.017    0.883


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

              1        2        3

    1      2.337   -0.104    0.000
    2      0.480    2.404    0.000
    3     -2.183   -3.927    0.000


MODEL RESULTS

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

Parameters for Class-specific Model Parts of C1

Latent Class C1#1

 Thresholds
    U1$1               1.742      0.226      7.721      0.000
    U2$1               1.119      0.156      7.168      0.000
    U3$1               1.170      0.156      7.517      0.000
    U4$1              -1.542      0.193     -7.980      0.000
    U5$1              -1.326      0.170     -7.797      0.000
    U6$1              -1.411      0.188     -7.517      0.000

Latent Class C1#2

 Thresholds
    U1$1               1.437      0.103     13.957      0.000
    U2$1               1.434      0.104     13.788      0.000
    U3$1               1.322      0.099     13.368      0.000
    U4$1               1.292      0.140      9.210      0.000
    U5$1               1.350      0.140      9.631      0.000
    U6$1               1.440      0.146      9.876      0.000

Latent Class C1#3

 Thresholds
    U1$1              -1.556      0.249     -6.256      0.000
    U2$1              -1.516      0.203     -7.460      0.000
    U3$1              -1.297      0.177     -7.340      0.000
    U4$1              -1.350      0.130    -10.355      0.000
    U5$1              -1.169      0.124     -9.459      0.000
    U6$1              -1.223      0.127     -9.614      0.000

Parameters for Class-specific Model Parts of C2

Latent Class C2#1

 Thresholds
    U7$1               1.814      0.335      5.418      0.000
    U8$1               1.421      0.221      6.430      0.000
    U9$1               1.560      0.264      5.920      0.000
    U10$1             -1.879      0.330     -5.688      0.000
    U11$1             -1.499      0.237     -6.336      0.000
    U12$1             -1.804      0.288     -6.273      0.000

Latent Class C2#2

 Thresholds
    U7$1              -1.155      0.176     -6.561      0.000
    U8$1              -1.124      0.168     -6.676      0.000
    U9$1              -1.127      0.171     -6.573      0.000
    U10$1             -1.207      0.117    -10.274      0.000
    U11$1             -1.440      0.132    -10.937      0.000
    U12$1             -1.363      0.124    -10.996      0.000

Latent Class C2#3

 Thresholds
    U7$1               1.327      0.094     14.161      0.000
    U8$1               1.725      0.111     15.544      0.000
    U9$1               1.449      0.096     15.038      0.000
    U10$1              1.373      0.135     10.185      0.000
    U11$1              1.170      0.116     10.114      0.000
    U12$1              1.295      0.130      9.949      0.000

Categorical Latent Variables

 Means
    C1#1               0.238      0.153      1.556      0.120
    C1#2               0.474      0.104      4.570      0.000
    C2#1              -0.708      0.177     -3.998      0.000
    C2#2              -0.421      0.092     -4.563      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.103E-01
       (ratio of smallest to largest eigenvalue)


LATENT CLASS INDICATOR MEANS AND PROBABILITIES FOR EACH LATENT CLASS

     MEAN/PROBABILITY PROFILES FOR C1
                       Latent class
                     1      2      3
     U1
       Category 1  0.851  0.808  0.174
       Category 2  0.149  0.192  0.826
     U2
       Category 1  0.754  0.808  0.180
       Category 2  0.246  0.192  0.820
     U3
       Category 1  0.763  0.789  0.215
       Category 2  0.237  0.211  0.785
     U4
       Category 1  0.176  0.784  0.206
       Category 2  0.824  0.216  0.794
     U5
       Category 1  0.210  0.794  0.237
       Category 2  0.790  0.206  0.763
     U6
       Category 1  0.196  0.809  0.227
       Category 2  0.804  0.191  0.773

     MEAN/PROBABILITY PROFILES FOR C2
                       Latent class
                     1      2      3
     U7
       Category 1  0.860  0.240  0.790
       Category 2  0.140  0.760  0.210
     U8
       Category 1  0.805  0.245  0.849
       Category 2  0.195  0.755  0.151
     U9
       Category 1  0.826  0.245  0.810
       Category 2  0.174  0.755  0.190
     U10
       Category 1  0.132  0.230  0.798
       Category 2  0.868  0.770  0.202
     U11
       Category 1  0.183  0.192  0.763
       Category 2  0.817  0.808  0.237
     U12
       Category 1  0.141  0.204  0.785
       Category 2  0.859  0.796  0.215


RESULTS IN PROBABILITY SCALE

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

Results for Class-specific Model Parts of C1

Latent Class C1#1

 U1
    Category 1         0.851      0.029     29.733      0.000
    Category 2         0.149      0.029      5.209      0.000
 U2
    Category 1         0.754      0.029     26.019      0.000
    Category 2         0.246      0.029      8.497      0.000
 U3
    Category 1         0.763      0.028     27.124      0.000
    Category 2         0.237      0.028      8.420      0.000
 U4
    Category 1         0.176      0.028      6.282      0.000
    Category 2         0.824      0.028     29.365      0.000
 U5
    Category 1         0.210      0.028      7.441      0.000
    Category 2         0.790      0.028     28.026      0.000
 U6
    Category 1         0.196      0.030      6.625      0.000
    Category 2         0.804      0.030     27.173      0.000

Latent Class C1#2

 U1
    Category 1         0.808      0.016     50.584      0.000
    Category 2         0.192      0.016     12.016      0.000
 U2
    Category 1         0.808      0.016     49.955      0.000
    Category 2         0.192      0.016     11.909      0.000
 U3
    Category 1         0.789      0.016     48.041      0.000
    Category 2         0.211      0.016     12.810      0.000
 U4
    Category 1         0.784      0.024     33.078      0.000
    Category 2         0.216      0.024      9.087      0.000
 U5
    Category 1         0.794      0.023     34.652      0.000
    Category 2         0.206      0.023      8.987      0.000
 U6
    Category 1         0.809      0.023     35.806      0.000
    Category 2         0.191      0.023      8.480      0.000

Latent Class C1#3

 U1
    Category 1         0.174      0.036      4.866      0.000
    Category 2         0.826      0.036     23.078      0.000
 U2
    Category 1         0.180      0.030      6.001      0.000
    Category 2         0.820      0.030     27.329      0.000
 U3
    Category 1         0.215      0.030      7.204      0.000
    Category 2         0.785      0.030     26.362      0.000
 U4
    Category 1         0.206      0.021      9.656      0.000
    Category 2         0.794      0.021     37.258      0.000
 U5
    Category 1         0.237      0.022     10.601      0.000
    Category 2         0.763      0.022     34.135      0.000
 U6
    Category 1         0.227      0.022     10.173      0.000
    Category 2         0.773      0.022     34.568      0.000

Results for Class-specific Model Parts of C2

Latent Class C2#1

 U7
    Category 1         0.860      0.040     21.309      0.000
    Category 2         0.140      0.040      3.475      0.001
 U8
    Category 1         0.805      0.035     23.262      0.000
    Category 2         0.195      0.035      5.618      0.000
 U9
    Category 1         0.826      0.038     21.856      0.000
    Category 2         0.174      0.038      4.591      0.000
 U10
    Category 1         0.132      0.038      3.489      0.000
    Category 2         0.868      0.038     22.850      0.000
 U11
    Category 1         0.183      0.035      5.171      0.000
    Category 2         0.817      0.035     23.151      0.000
 U12
    Category 1         0.141      0.035      4.050      0.000
    Category 2         0.859      0.035     24.596      0.000

Latent Class C2#2

 U7
    Category 1         0.240      0.032      7.467      0.000
    Category 2         0.760      0.032     23.711      0.000
 U8
    Category 1         0.245      0.031      7.871      0.000
    Category 2         0.755      0.031     24.218      0.000
 U9
    Category 1         0.245      0.032      7.722      0.000
    Category 2         0.755      0.032     23.833      0.000
 U10
    Category 1         0.230      0.021     11.056      0.000
    Category 2         0.770      0.021     36.972      0.000
 U11
    Category 1         0.192      0.020      9.395      0.000
    Category 2         0.808      0.020     39.651      0.000
 U12
    Category 1         0.204      0.020     10.131      0.000
    Category 2         0.796      0.020     39.596      0.000

Latent Class C2#3

 U7
    Category 1         0.790      0.016     50.900      0.000
    Category 2         0.210      0.016     13.506      0.000
 U8
    Category 1         0.849      0.014     59.580      0.000
    Category 2         0.151      0.014     10.620      0.000
 U9
    Category 1         0.810      0.015     54.575      0.000
    Category 2         0.190      0.015     12.820      0.000
 U10
    Category 1         0.798      0.022     36.700      0.000
    Category 2         0.202      0.022      9.298      0.000
 U11
    Category 1         0.763      0.021     36.497      0.000
    Category 2         0.237      0.021     11.330      0.000
 U12
    Category 1         0.785      0.022     35.733      0.000
    Category 2         0.215      0.022      9.783      0.000


LATENT CLASS INDICATOR ODDS RATIOS FOR THE LATENT CLASSES

                                                95% C.I.
                    Estimate       S.E.  Lower 2.5% Upper 2.5%

Results for Class-specific Model Parts of C1

Latent Class C1#1 Compared to Latent Class C1#2

 U1
    Category > 1       0.738      0.191      0.444      1.224
 U2
    Category > 1       1.370      0.273      0.927      2.024
 U3
    Category > 1       1.164      0.228      0.793      1.708
 U4
    Category > 1      17.016      3.759     11.036     26.237
 U5
    Category > 1      14.521      2.974      9.720     21.692
 U6
    Category > 1      17.318      3.811     11.251     26.657

Latent Class C1#1 Compared to Latent Class C1#3

 U1
    Category > 1       0.037      0.011      0.020      0.067
 U2
    Category > 1       0.072      0.017      0.045      0.114
 U3
    Category > 1       0.085      0.019      0.055      0.130
 U4
    Category > 1       1.212      0.300      0.746      1.967
 U5
    Category > 1       1.170      0.261      0.755      1.811
 U6
    Category > 1       1.207      0.290      0.754      1.932

Latent Class C1#2 Compared to Latent Class C1#3

 U1
    Category > 1       0.050      0.014      0.029      0.085
 U2
    Category > 1       0.052      0.012      0.033      0.082
 U3
    Category > 1       0.073      0.015      0.049      0.109
 U4
    Category > 1       0.071      0.014      0.049      0.104
 U5
    Category > 1       0.081      0.015      0.056      0.116
 U6
    Category > 1       0.070      0.013      0.048      0.102

Results for Class-specific Model Parts of C2

Latent Class C2#1 Compared to Latent Class C2#2

 U7
    Category > 1       0.051      0.017      0.027      0.099
 U8
    Category > 1       0.079      0.019      0.048      0.127
 U9
    Category > 1       0.068      0.019      0.040      0.117
 U10
    Category > 1       1.958      0.699      0.973      3.943
 U11
    Category > 1       1.061      0.308      0.600      1.876
 U12
    Category > 1       1.554      0.501      0.825      2.924

Latent Class C2#1 Compared to Latent Class C2#3

 U7
    Category > 1       0.615      0.217      0.308      1.227
 U8
    Category > 1       1.355      0.344      0.824      2.227
 U9
    Category > 1       0.894      0.258      0.507      1.576
 U10
    Category > 1      25.851      8.566     13.502     49.494
 U11
    Category > 1      14.422      3.550      8.902     23.364
 U12
    Category > 1      22.181      6.514     12.474     39.443

Latent Class C2#2 Compared to Latent Class C2#3

 U7
    Category > 1      11.967      2.386      8.096     17.690
 U8
    Category > 1      17.261      3.448     11.669     25.531
 U9
    Category > 1      13.138      2.557      8.971     19.241
 U10
    Category > 1      13.200      2.320      9.353     18.627
 U11
    Category > 1      13.596      2.380      9.646     19.162
 U12
    Category > 1      14.276      2.491     10.141     20.096


SAVEDATA INFORMATION


  Save file
    bch2LCA.dat

  Order and format of variables

    U1             F10.3
    U2             F10.3
    U3             F10.3
    U4             F10.3
    U5             F10.3
    U6             F10.3
    U7             F10.3
    U8             F10.3
    U9             F10.3
    U10            F10.3
    U11            F10.3
    U12            F10.3
    BCHW1          F10.3
    BCHW2          F10.3
    BCHW3          F10.3
    BCHW4          F10.3
    BCHW5          F10.3
    BCHW6          F10.3
    BCHW7          F10.3
    BCHW8          F10.3
    BCHW9          F10.3

  Save file format
    21F10.3

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DIAGRAM INFORMATION

  Mplus diagrams are currently not available for Mixture analysis.
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