Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:24 PM

INPUT INSTRUCTIONS

  title:
  	this is an example of a mixture regression
  	analysis for a continuous dependent
  	variable using automatic starting values
  	with random starts

  montecarlo:
  	names are y x1 x2;
  	genclasses = c(2);
  	classes = c(2);
  	nobs = 500;
  	seed = 3454367;
  	nrep = 1;
  	save = ex7.1.dat;

  analysis:
  	type = mixture;

  model population:

  	%overall%

  	x1-x2*1;
  	[x1-x2*0];


  	[c#1*0];

  	c#1 on x1*1;

  	y on x1*2 x2*1;
  	
  	[y*1]; y*1;
  	
  	%c#1%

  	y on x2*2;
  	[y*2];
  	y*2;

  model:

  	%overall%


  	[c#1*0];

  	c#1 on x1*1;

  	y on x1*2 x2*1;
  	
  	[y*1]; y*1;
  	
  	%c#1%

  	y on x2*2;
  	[y*2];
  	y*2;

  output:
  	tech8 tech9;
  	
  	
  	

  	
  	



INPUT READING TERMINATED NORMALLY




this is an example of a mixture regression
analysis for a continuous dependent
variable using automatic starting values
with random starts

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                              3454367

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

Observed dependent variables

  Continuous
   Y

Observed independent variables
   X1          X2

Categorical latent variables
   C


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
Optimization algorithm                                         EMA


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              Y             X1            X2
              ________      ________      ________
                1.310        -0.061        -0.006


           Covariances
              Y             X1            X2
              ________      ________      ________
 Y              9.259
 X1             2.294         1.039
 X2             1.466        -0.014         0.983


           Correlations
              Y             X1            X2
              ________      ________      ________
 Y              1.000
 X1             0.740         1.000
 X2             0.486        -0.014         1.000




MODEL FIT INFORMATION

Number of Free Parameters                        9

Loglikelihood

    H0 Value

        Mean                              -836.899
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         -836.899       -836.899
           0.980       0.000         -836.899       -836.899
           0.950       0.000         -836.899       -836.899
           0.900       0.000         -836.899       -836.899
           0.800       0.000         -836.899       -836.899
           0.700       0.000         -836.899       -836.899
           0.500       0.000         -836.899       -836.899
           0.300       0.000         -836.899       -836.899
           0.200       0.000         -836.899       -836.899
           0.100       0.000         -836.899       -836.899
           0.050       0.000         -836.899       -836.899
           0.020       0.000         -836.899       -836.899
           0.010       0.000         -836.899       -836.899

Information Criteria

    Akaike (AIC)

        Mean                              1691.797
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         1691.797       1691.797
           0.980       0.000         1691.797       1691.797
           0.950       0.000         1691.797       1691.797
           0.900       0.000         1691.797       1691.797
           0.800       0.000         1691.797       1691.797
           0.700       0.000         1691.797       1691.797
           0.500       0.000         1691.797       1691.797
           0.300       0.000         1691.797       1691.797
           0.200       0.000         1691.797       1691.797
           0.100       0.000         1691.797       1691.797
           0.050       0.000         1691.797       1691.797
           0.020       0.000         1691.797       1691.797
           0.010       0.000         1691.797       1691.797

    Bayesian (BIC)

        Mean                              1729.729
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         1729.729       1729.729
           0.980       0.000         1729.729       1729.729
           0.950       0.000         1729.729       1729.729
           0.900       0.000         1729.729       1729.729
           0.800       0.000         1729.729       1729.729
           0.700       0.000         1729.729       1729.729
           0.500       0.000         1729.729       1729.729
           0.300       0.000         1729.729       1729.729
           0.200       0.000         1729.729       1729.729
           0.100       0.000         1729.729       1729.729
           0.050       0.000         1729.729       1729.729
           0.020       0.000         1729.729       1729.729
           0.010       0.000         1729.729       1729.729

    Sample-Size Adjusted BIC (n* = (n + 2) / 24)

        Mean                              1701.162
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         1701.162       1701.162
           0.980       0.000         1701.162       1701.162
           0.950       0.000         1701.162       1701.162
           0.900       0.000         1701.162       1701.162
           0.800       0.000         1701.162       1701.162
           0.700       0.000         1701.162       1701.162
           0.500       0.000         1701.162       1701.162
           0.300       0.000         1701.162       1701.162
           0.200       0.000         1701.162       1701.162
           0.100       0.000         1701.162       1701.162
           0.050       0.000         1701.162       1701.162
           0.020       0.000         1701.162       1701.162
           0.010       0.000         1701.162       1701.162



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

    Latent
   Classes

       1        275.54645          0.55109
       2        224.45355          0.44891


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

    Latent
   Classes

       1        275.54598          0.55109
       2        224.45402          0.44891


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

Class Counts and Proportions

    Latent
   Classes

       1              270          0.54000
       2              230          0.46000


CLASSIFICATION QUALITY

     Entropy                         0.389


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

           1        2

    1   0.816    0.184
    2   0.240    0.760


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

           1        2

    1   0.800    0.200
    2   0.221    0.779


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

              1        2

    1      1.384    0.000
    2     -1.259    0.000


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff

Latent Class 1

 Y          ON
  X1                  2.000     1.9993     0.0000     0.0633     0.0000 1.000 1.000
  X2                  2.000     2.0594     0.0000     0.1077     0.0035 1.000 1.000

 Intercepts
  Y                   2.000     1.9669     0.0000     0.1253     0.0011 1.000 1.000

 Residual Variances
  Y                   2.000     1.9644     0.0000     0.1729     0.0013 1.000 1.000

Latent Class 2

 Y          ON
  X1                  2.000     1.9993     0.0000     0.0633     0.0000 1.000 1.000
  X2                  1.000     0.9706     0.0000     0.0757     0.0009 1.000 1.000

 Intercepts
  Y                   1.000     0.8623     0.0000     0.1018     0.0190 1.000 1.000

 Residual Variances
  Y                   1.000     0.6519     0.0000     0.0783     0.1212 0.000 1.000

Categorical Latent Variables

 C#1        ON
  X1                  1.000     1.0093     0.0000     0.2573     0.0001 1.000 1.000

 Intercepts
  C#1                 0.000     0.3093     0.0000     0.2615     0.0957 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.164E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR LATENT CLASS 1


           NU
              Y             X1            X2
              ________      ________      ________
                    0             0             0


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y                  0             0             0
 X1                 0             0             0
 X2                 0             0             0


           THETA
              Y             X1            X2
              ________      ________      ________
 Y                  0
 X1                 0             0
 X2                 0             0             0


           ALPHA
              Y             X1            X2
              ________      ________      ________
                    1             0             0


           BETA
              Y             X1            X2
              ________      ________      ________
 Y                  0             2             3
 X1                 0             0             0
 X2                 0             0             0


           PSI
              Y             X1            X2
              ________      ________      ________
 Y                  4
 X1                 0             0
 X2                 0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS 2


           NU
              Y             X1            X2
              ________      ________      ________
                    0             0             0


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y                  0             0             0
 X1                 0             0             0
 X2                 0             0             0


           THETA
              Y             X1            X2
              ________      ________      ________
 Y                  0
 X1                 0             0
 X2                 0             0             0


           ALPHA
              Y             X1            X2
              ________      ________      ________
                    5             0             0


           BETA
              Y             X1            X2
              ________      ________      ________
 Y                  0             2             6
 X1                 0             0             0
 X2                 0             0             0


           PSI
              Y             X1            X2
              ________      ________      ________
 Y                  7
 X1                 0             0
 X2                 0             0             0


     PARAMETER SPECIFICATION FOR LATENT CLASS REGRESSION MODEL PART


           ALPHA(C)
              C#1           C#2
              ________      ________
                    8             0


           GAMMA(C)
              X1            X2
              ________      ________
 C#1                9             0
 C#2                0             0


     STARTING VALUES FOR LATENT CLASS 1


           NU
              Y             X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y              1.000         0.000         0.000
 X1             0.000         1.000         0.000
 X2             0.000         0.000         1.000


           THETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              Y             X1            X2
              ________      ________      ________
                2.000         0.000         0.000


           BETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000         2.000         2.000
 X1             0.000         0.000         0.000
 X2             0.000         0.000         0.000


           PSI
              Y             X1            X2
              ________      ________      ________
 Y              2.000
 X1             0.000         0.500
 X2             0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS 2


           NU
              Y             X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y              1.000         0.000         0.000
 X1             0.000         1.000         0.000
 X2             0.000         0.000         1.000


           THETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              Y             X1            X2
              ________      ________      ________
                1.000         0.000         0.000


           BETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000         2.000         1.000
 X1             0.000         0.000         0.000
 X2             0.000         0.000         0.000


           PSI
              Y             X1            X2
              ________      ________      ________
 Y              1.000
 X1             0.000         0.500
 X2             0.000         0.000         0.500


     STARTING VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              X1            X2
              ________      ________
 C#1            1.000         0.000
 C#2            0.000         0.000


     POPULATION VALUES FOR LATENT CLASS 1


           NU
              Y             X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y              1.000         0.000         0.000
 X1             0.000         1.000         0.000
 X2             0.000         0.000         1.000


           THETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              Y             X1            X2
              ________      ________      ________
                2.000         0.000         0.000


           BETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000         2.000         2.000
 X1             0.000         0.000         0.000
 X2             0.000         0.000         0.000


           PSI
              Y             X1            X2
              ________      ________      ________
 Y              2.000
 X1             0.000         1.000
 X2             0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS 2


           NU
              Y             X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              Y             X1            X2
              ________      ________      ________
 Y              1.000         0.000         0.000
 X1             0.000         1.000         0.000
 X2             0.000         0.000         1.000


           THETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              Y             X1            X2
              ________      ________      ________
                1.000         0.000         0.000


           BETA
              Y             X1            X2
              ________      ________      ________
 Y              0.000         2.000         1.000
 X1             0.000         0.000         0.000
 X2             0.000         0.000         0.000


           PSI
              Y             X1            X2
              ________      ________      ________
 Y              1.000
 X1             0.000         1.000
 X2             0.000         0.000         1.000


     POPULATION VALUES FOR LATENT CLASS REGRESSION MODEL PART


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


           GAMMA(C)
              X1            X2
              ________      ________
 C#1            1.000         0.000
 C#2            0.000         0.000


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.84190782D+03    0.0000000    0.0000000  EM
              2 -0.83903557D+03    2.8722516    0.0034116  EM
              3 -0.83812776D+03    0.9078128    0.0010820  EM
              4 -0.83769423D+03    0.4335247    0.0005173  EM
              5 -0.83745353D+03    0.2407079    0.0002873  EM
              6 -0.83730263D+03    0.1508922    0.0001802  EM
              7 -0.83720018D+03    0.1024495    0.0001224  EM
              8 -0.83712723D+03    0.0729577    0.0000871  EM
              9 -0.83707373D+03    0.0534958    0.0000639  EM
             10 -0.83703375D+03    0.0399838    0.0000478  EM
             11 -0.83700346D+03    0.0302879    0.0000362  EM
             12 -0.83698029D+03    0.0231667    0.0000277  EM
             13 -0.83696244D+03    0.0178499    0.0000213  EM
             14 -0.83694861D+03    0.0138292    0.0000165  EM
             15 -0.83693785D+03    0.0107591    0.0000129  EM
             16 -0.83692945D+03    0.0083991    0.0000100  EM
             17 -0.83692288D+03    0.0065741    0.0000079  EM
             18 -0.83691772D+03    0.0051561    0.0000062  EM
             19 -0.83691367D+03    0.0040510    0.0000048  EM
             20 -0.83691049D+03    0.0031870    0.0000038  EM
             21 -0.83690798D+03    0.0025101    0.0000030  EM
             22 -0.83690600D+03    0.0019788    0.0000024  EM
             23 -0.83690444D+03    0.0015611    0.0000019  EM
             24 -0.83690320D+03    0.0012324    0.0000015  EM
             25 -0.83690223D+03    0.0009734    0.0000012  EM
             26 -0.83690146D+03    0.0007692    0.0000009  EM
             27 -0.83690085D+03    0.0006085    0.0000007  EM
             28 -0.83690037D+03    0.0004811    0.0000006  EM
             29 -0.83689999D+03    0.0003804    0.0000005  EM
             30 -0.83689969D+03    0.0003009    0.0000004  EM
             31 -0.83689945D+03    0.0002381    0.0000003  EM
             32 -0.83689926D+03    0.0001884    0.0000002  EM
             33 -0.83689911D+03    0.0001491    0.0000002  EM
             34 -0.83689900D+03    0.0001180    0.0000001  EM
             35 -0.83689890D+03    0.0000934    0.0000001  EM
             36 -0.83689862D+03    0.0002830    0.0000003  FS
             37 -0.83689860D+03    0.0000218    0.0000000  FS
             38 -0.83689859D+03    0.0000124    0.0000000  FS
             39 -0.83689858D+03    0.0000095    0.0000000  FS
             40 -0.83689857D+03    0.0000069    0.0000000  FS
             41 -0.83689856D+03    0.0000054    0.0000000  FS
             42 -0.83689856D+03    0.0000040    0.0000000  FS
             43 -0.83689856D+03    0.0000031    0.0000000  FS
             44 -0.83689855D+03    0.0000023    0.0000000  FS
             45 -0.83689855D+03    0.0000018    0.0000000  FS
             46 -0.83689855D+03    0.0000013    0.0000000  FS
             47 -0.83689855D+03    0.0000010    0.0000000  FS
             48 -0.83689855D+03    0.0000008    0.0000000  FS
             49 -0.83689855D+03    0.0000006    0.0000000  FS
             50 -0.83689855D+03    0.0000004    0.0000000  FS
             51 -0.83689855D+03    0.0000003    0.0000000  FS
             52 -0.83689855D+03    0.0000002    0.0000000  FS
             53 -0.83689855D+03    0.0000002    0.0000000  FS
             54 -0.83689855D+03    0.0000001    0.0000000  FS
             55 -0.83689855D+03    0.0000001    0.0000000  FS
             56 -0.83689855D+03    0.0000001    0.0000000  FS
             57 -0.83689855D+03    0.0000001    0.0000000  EM
             58 -0.83689855D+03    0.0000000    0.0000000  EM
             59 -0.83689855D+03    0.0000000    0.0000000  EM
             60 -0.83689855D+03    0.0000000    0.0000000  EM
             61 -0.83689855D+03    0.0000000    0.0000000  EM
             62 -0.83689855D+03    0.0000000    0.0000000  EM
             63 -0.83689855D+03    0.0000000    0.0000000  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y
    X1
    X2
    C

  Save file
    ex7.1.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:24:27
        Ending Time:  22:24:27
       Elapsed Time:  00:00:00



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