Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:22 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a censored regression for a censored
  		 dependent variable with two covariates
  MONTECARLO:			
  			NAMES = y1 x1 x3;
  			NOBSERVATIONS = 1000;
  			NREPS = 1;
  			SEED = 53487;
  			GENERATE = y1(cb 0);
  			CENSORED = y1(b);
  			SAVE = ex3.2.dat;	
  ANALYSIS:	ESTIMATOR = MLR;
  MODEL POPULATION:
  			[x1-x3@0];
  			x1-x3@1;
  			y1 ON x1*1 x3*.5;
  			y1*1;
  			[y1*.5];
  MODEL:
  			y1 ON x1*1 x3*.5;
  			y1*1;
  			[y1*.5];
  OUTPUT:		TECH8 TECH9;



INPUT READING TERMINATED NORMALLY



this is an example of a censored regression for a censored
dependent variable with two covariates

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1000

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                53487

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

Observed dependent variables

  Censored
   Y1

Observed independent variables
   X1          X3


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                            0
  Adaptive quadrature                                           ON
Cholesky                                                       OFF


SUMMARY OF CENSORED LIMITS

      Y1                 0.000


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means
              X1            X3
              ________      ________
                0.000        -0.021


           Covariances
              X1            X3
              ________      ________
 X1             1.028
 X3             0.013         1.003


           Correlations
              X1            X3
              ________      ________
 X1             1.000
 X3             0.013         1.000




MODEL FIT INFORMATION

Number of Free Parameters                        4

Loglikelihood

    H0 Value

        Mean                             -1142.885
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -1142.885      -1142.885
           0.980       0.000        -1142.885      -1142.885
           0.950       0.000        -1142.885      -1142.885
           0.900       0.000        -1142.885      -1142.885
           0.800       0.000        -1142.885      -1142.885
           0.700       0.000        -1142.885      -1142.885
           0.500       0.000        -1142.885      -1142.885
           0.300       0.000        -1142.885      -1142.885
           0.200       0.000        -1142.885      -1142.885
           0.100       0.000        -1142.885      -1142.885
           0.050       0.000        -1142.885      -1142.885
           0.020       0.000        -1142.885      -1142.885
           0.010       0.000        -1142.885      -1142.885

Information Criteria

    Akaike (AIC)

        Mean                              2293.771
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         2293.771       2293.771
           0.980       0.000         2293.771       2293.771
           0.950       0.000         2293.771       2293.771
           0.900       0.000         2293.771       2293.771
           0.800       0.000         2293.771       2293.771
           0.700       0.000         2293.771       2293.771
           0.500       0.000         2293.771       2293.771
           0.300       0.000         2293.771       2293.771
           0.200       0.000         2293.771       2293.771
           0.100       0.000         2293.771       2293.771
           0.050       0.000         2293.771       2293.771
           0.020       0.000         2293.771       2293.771
           0.010       0.000         2293.771       2293.771

    Bayesian (BIC)

        Mean                              2313.402
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         2313.402       2313.402
           0.980       0.000         2313.402       2313.402
           0.950       0.000         2313.402       2313.402
           0.900       0.000         2313.402       2313.402
           0.800       0.000         2313.402       2313.402
           0.700       0.000         2313.402       2313.402
           0.500       0.000         2313.402       2313.402
           0.300       0.000         2313.402       2313.402
           0.200       0.000         2313.402       2313.402
           0.100       0.000         2313.402       2313.402
           0.050       0.000         2313.402       2313.402
           0.020       0.000         2313.402       2313.402
           0.010       0.000         2313.402       2313.402

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

        Mean                              2300.697
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         2300.697       2300.697
           0.980       0.000         2300.697       2300.697
           0.950       0.000         2300.697       2300.697
           0.900       0.000         2300.697       2300.697
           0.800       0.000         2300.697       2300.697
           0.700       0.000         2300.697       2300.697
           0.500       0.000         2300.697       2300.697
           0.300       0.000         2300.697       2300.697
           0.200       0.000         2300.697       2300.697
           0.100       0.000         2300.697       2300.697
           0.050       0.000         2300.697       2300.697
           0.020       0.000         2300.697       2300.697
           0.010       0.000         2300.697       2300.697



MODEL RESULTS

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

 Y1         ON
  X1                  1.000     1.0748     0.0000     0.0428     0.0056 1.000 1.000
  X3                  0.500     0.4948     0.0000     0.0371     0.0000 1.000 1.000

 Intercepts
  Y1                  0.500     0.5155     0.0000     0.0403     0.0002 1.000 1.000

 Residual Variances
  Y1                  1.000     1.1477     0.0000     0.0667     0.0218 0.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.223E+00
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
                    0             0             0             0


           LAMBDA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1               0             0             0             0
 Y1                 0             0             0             0
 X1                 0             0             0             0
 X3                 0             0             0             0


           THETA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1               0
 Y1                 0             0
 X1                 0             0             0
 X3                 0             0             0             0


           ALPHA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
                    0             1             0             0


           BETA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1               0             0             0             0
 Y1                 0             0             2             3
 X1                 0             0             0             0
 X3                 0             0             0             0


           PSI
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1               0
 Y1                 0             4
 X1                 0             0             0
 X3                 0             0             0             0


     STARTING VALUES


           NU
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           1.000         0.000         0.000         0.000
 Y1             0.000         1.000         0.000         0.000
 X1             0.000         0.000         1.000         0.000
 X3             0.000         0.000         0.000         1.000


           THETA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           0.000
 Y1             0.000         0.000
 X1             0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000


           ALPHA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
              -20.000         0.500         0.000         0.000


           BETA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           0.000         0.000         0.000         0.000
 Y1             0.000         0.000         1.000         0.500
 X1             0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000


           PSI
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           0.000
 Y1             0.000         1.000
 X1             0.000         0.000         0.500
 X3             0.000         0.000         0.000         0.500


     POPULATION VALUES


           NU
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           LAMBDA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           1.000         0.000         0.000         0.000
 Y1             0.000         1.000         0.000         0.000
 X1             0.000         0.000         1.000         0.000
 X3             0.000         0.000         0.000         1.000


           THETA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           0.000
 Y1             0.000         0.000
 X1             0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000


           ALPHA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
              -20.000         0.500         0.000         0.000


           BETA
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           0.000         0.000         0.000         0.000
 Y1             0.000         0.000         1.000         0.500
 X1             0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000


           PSI
              Y1#1          Y1            X1            X3
              ________      ________      ________      ________
 Y1#1           0.000
 Y1             0.000         1.000
 X1             0.000         0.000         1.000
 X3             0.000         0.000         0.000         1.000


TECHNICAL 8 OUTPUT


  TECHNICAL 8 OUTPUT FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.11480237D+04    0.0000000    0.0000000  EM
              2 -0.11430923D+04    4.9314875    0.0042956  EM
              3 -0.11428862D+04    0.2060506    0.0001803  EM
              4 -0.11428853D+04    0.0008706    0.0000008  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y1
    X1
    X3

  Save file
    ex3.2.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:22:34
        Ending Time:  22:22:35
       Elapsed Time:  00:00:01



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