Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016   7:09 PM

INPUT INSTRUCTIONS

  data:
      file = n500replist.dat;
      type = montecarlo;

  Variable:
      names = y m tx x missing;
      categorical = missing;
      missing = all(999);

  define:
      if(y EQ _MISSING) THEN missing = 1 ELSE missing = 0;

  Analysis:
      estimator = mlr;
      integration = montecarlo;
      mconv = 0.00001;

  Model:
      y on m*1 tx*0 x*0;
      y*.75;
      m on tx*-.5 x*.5;
      m*.5;
      [y-m*0];
      missing on y*2;
      [missing$1*.75];

  model indirect:
      y IND tx;



INPUT READING TERMINATED NORMALLY




SUMMARY OF ANALYSIS

Number of groups                                                 1
Average number of observations                                 250

Number of replications
    Requested                                                  500
    Completed                                                  500

Number of dependent variables                                    3
Number of independent variables                                  2
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y           M

  Binary and ordered categorical (ordinal)
   MISSING

Observed independent variables
   TX          X


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-04
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
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03
Optimization algorithm                                         EMA
Integration Specifications
  Type                                                  MONTECARLO
  Number of integration points                                 250
  Dimensions of numerical integration                            1
  Adaptive quadrature                                           ON
  Monte Carlo integration seed                                   0
Link                                                         LOGIT
Cholesky                                                       OFF

Input data file(s)
  Multiple data files from
    n500replist.dat
Input data format  FREE


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Number of missing data patterns             2
     Number of y missing data patterns           2
     Number of u missing data patterns           1


SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION


     MISSING DATA PATTERNS FOR Y (x = not missing)

           1  2
 Y         x
 M         x  x
 TX        x  x
 X         x  x


     MISSING DATA PATTERN FREQUENCIES FOR Y

    Pattern   Frequency     Pattern   Frequency
          1         154           2          96


COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT FOR Y


           Covariance Coverage
              Y             M             TX            X
              ________      ________      ________      ________
 Y              0.616
 M              0.616         1.000
 TX             0.616         1.000         1.000
 X              0.616         1.000         1.000         1.000


UNIVARIATE PROPORTIONS FOR CATEGORICAL VARIABLES FOR THE FIRST REPLICATION

    MISSING
      Category 1    0.616
      Category 2    0.384


SAMPLE STATISTICS

NOTE:  These are average results over 500 data sets.


     SAMPLE STATISTICS


           Means
              Y             M             TX            X
              ________      ________      ________      ________
 1             -0.585        -0.246         0.501         0.004


           Covariances
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.087
 M              0.635         0.811
 TX            -0.098        -0.124         0.249
 X              0.394         0.500         0.002         1.002


           Correlations
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.000
 M              0.676         1.000
 TX            -0.189        -0.275         1.000
 X              0.378         0.555         0.004         1.000




MODEL FIT INFORMATION

Number of Free Parameters                       11

Loglikelihood

    H0 Value

        Mean                              -582.993
        Std Dev                             16.122
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         -620.497       -618.922
           0.980       0.986         -616.102       -614.406
           0.950       0.956         -609.512       -609.314
           0.900       0.906         -603.655       -603.435
           0.800       0.810         -596.561       -596.198
           0.700       0.694         -591.447       -591.788
           0.500       0.480         -582.993       -584.573
           0.300       0.286         -574.539       -575.190
           0.200       0.194         -569.425       -570.290
           0.100       0.104         -562.332       -561.953
           0.050       0.058         -556.475       -555.627
           0.020       0.024         -549.884       -549.227
           0.010       0.014         -545.489       -543.909

Information Criteria

    Akaike (AIC)

        Mean                              1187.986
        Std Dev                             32.243
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1112.979       1105.357
           0.980       0.976         1121.768       1119.570
           0.950       0.942         1134.949       1131.669
           0.900       0.896         1146.663       1144.301
           0.800       0.806         1160.850       1161.304
           0.700       0.714         1171.078       1172.239
           0.500       0.520         1187.986       1191.037
           0.300       0.306         1204.895       1205.414
           0.200       0.190         1215.122       1214.178
           0.100       0.094         1229.309       1228.442
           0.050       0.044         1241.023       1239.797
           0.020       0.014         1254.204       1250.676
           0.010       0.008         1262.994       1259.695

    Bayesian (BIC)

        Mean                              1226.722
        Std Dev                             32.243
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1151.715       1144.093
           0.980       0.976         1160.504       1158.306
           0.950       0.942         1173.685       1170.405
           0.900       0.896         1185.399       1183.037
           0.800       0.806         1199.587       1200.040
           0.700       0.714         1209.814       1210.975
           0.500       0.520         1226.722       1229.773
           0.300       0.306         1243.631       1244.150
           0.200       0.190         1253.858       1252.914
           0.100       0.094         1268.045       1267.178
           0.050       0.044         1279.759       1278.533
           0.020       0.014         1292.941       1289.412
           0.010       0.008         1301.730       1298.431

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

        Mean                              1191.852
        Std Dev                             32.243
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1116.844       1109.222
           0.980       0.976         1125.633       1123.435
           0.950       0.942         1138.815       1135.534
           0.900       0.896         1150.529       1148.166
           0.800       0.806         1164.716       1165.170
           0.700       0.714         1174.943       1176.104
           0.500       0.520         1191.852       1194.902
           0.300       0.306         1208.760       1209.279
           0.200       0.190         1218.987       1218.043
           0.100       0.094         1233.175       1232.308
           0.050       0.044         1244.889       1243.662
           0.020       0.014         1258.070       1254.541
           0.010       0.008         1266.859       1263.561



MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y          ON
  M                   1.000     0.9973     0.0979     0.0961     0.0096 0.946 1.000
  TX                  0.000    -0.0082     0.1368     0.1330     0.0188 0.928 0.072
  X                   0.000     0.0043     0.0787     0.0768     0.0062 0.944 0.056

 M          ON
  TX                 -0.500    -0.5011     0.0882     0.0892     0.0078 0.952 1.000
  X                   0.500     0.5006     0.0421     0.0445     0.0018 0.964 1.000

 MISSING    ON
  Y                   2.000     2.1035     0.5119     0.4737     0.2722 0.946 0.998

 Intercepts
  Y                   0.000     0.0025     0.1160     0.1119     0.0134 0.932 0.068
  M                   0.000     0.0029     0.0637     0.0631     0.0041 0.948 0.052

 Thresholds
  MISSING$1           0.750     0.8043     0.3495     0.3228     0.1249 0.946 0.804

 Residual Variances
  Y                   0.750     0.7404     0.1043     0.1061     0.0109 0.940 1.000
  M                   0.500     0.4949     0.0440     0.0438     0.0020 0.944 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.476E-02
       (ratio of smallest to largest eigenvalue)


TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


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

Effects from TX to Y

  Total              -0.500    -0.5083     0.1545     0.1557     0.0239 0.946 0.916
  Tot indirect       -0.500    -0.5001     0.1034     0.1016     0.0107 0.940 1.000

 Specific indirect

  Y
  M
  TX                 -0.500    -0.5001     0.1034     0.1016     0.0107 0.940 1.000

 Direct
  Y
  TX                  0.000    -0.0082     0.1368     0.1330     0.0188 0.928 0.072



TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           TAU
              MISSING$
              ________
 1                 11


           NU
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING            0             0             0             0             0
 Y                  0             0             0             0             0
 M                  0             0             0             0             0
 TX                 0             0             0             0             0
 X                  0             0             0             0             0


           THETA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING            0
 Y                  0             0
 M                  0             0             0
 TX                 0             0             0             0
 X                  0             0             0             0             0


           ALPHA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 1                  0             1             2             0             0


           BETA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING            0             3             0             0             0
 Y                  0             0             4             5             6
 M                  0             0             0             7             8
 TX                 0             0             0             0             0
 X                  0             0             0             0             0


           PSI
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING            0
 Y                  0             9
 M                  0             0            10
 TX                 0             0             0             0
 X                  0             0             0             0             0


     STARTING VALUES


           TAU
              MISSING$
              ________
 1              0.750


           NU
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING        1.000         0.000         0.000         0.000         0.000
 Y              0.000         1.000         0.000         0.000         0.000
 M              0.000         0.000         1.000         0.000         0.000
 TX             0.000         0.000         0.000         1.000         0.000
 X              0.000         0.000         0.000         0.000         1.000


           THETA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING        0.000
 Y              0.000         0.000
 M              0.000         0.000         0.000
 TX             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           ALPHA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           BETA
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING        0.000         2.000         0.000         0.000         0.000
 Y              0.000         0.000         1.000         0.000         0.000
 M              0.000         0.000         0.000        -0.500         0.500
 TX             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000


           PSI
              MISSING       Y             M             TX            X
              ________      ________      ________      ________      ________
 MISSING        1.000
 Y              0.000         0.750
 M              0.000         0.000         0.500
 TX             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.500


DIAGRAM INFORMATION

  Mplus diagrams are currently not available for Monte Carlo analysis.
  No diagram output was produced.


     Beginning Time:  19:09:13
        Ending Time:  19:20:29
       Elapsed Time:  00:11:16



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