Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016   7:07 PM

INPUT INSTRUCTIONS

  TITLE:	1 y plus 1 auxiliary z
  listwise in a mediation model

  data:
      file = medreplist.dat;
      type = MONTECARLO;
  !    listwise = on;
  variable:
  	NAMES ARE y m z x;
      usev = y m x;

      missing = y(999);
      auxiliary = z(m);

  MODEL:
    y on m*.5 x*0;
    m on x*.7;
      y*.75;
      m*.51;
      [y*0];
      [m*0];

  model indirect:
      y ind x;


  OUTPUT:	patterns TECH1;



*** WARNING in OUTPUT command
  PATTERNS option is the default for MONTECARLO.
*** WARNING in OUTPUT command
  TECH1 option is the default for MONTECARLO.
   2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



1 y plus 1 auxiliary z
listwise in a mediation model

SUMMARY OF ANALYSIS

Number of groups                                                 1
Average number of observations                                 200

Number of replications
    Requested                                                  500
    Completed                                                  500

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

Observed dependent variables

  Continuous
   Y           M

Observed independent variables
   X

Observed auxiliary variables
   Z


Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03

Input data file(s)
  Multiple data files from
    medreplist.dat

Input data format  FREE


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Number of missing data patterns             2


SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION


     MISSING DATA PATTERNS (x = not missing)

           1  2
 Y         x
 M         x  x
 X         x  x


     MISSING DATA PATTERN FREQUENCIES

    Pattern   Frequency     Pattern   Frequency
          1         151           2          49


COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              Y             M             X
              ________      ________      ________
 Y              0.755
 M              0.755         1.000
 X              0.755         1.000         1.000


SAMPLE STATISTICS

NOTE:  These are average results over 500 data sets.


     ESTIMATED SAMPLE STATISTICS


           Means
              Y             M             X
              ________      ________      ________
 1              0.170         0.349         0.498


           Covariances
              Y             M             X
              ________      ________      ________
 Y              0.910
 M              0.320         0.630
 X              0.088         0.173         0.249


           Correlations
              Y             M             X
              ________      ________      ________
 Y              1.000
 M              0.423         1.000
 X              0.185         0.436         1.000


MODEL FIT INFORMATION

Number of Free Parameters                        7

Loglikelihood Including the Auxiliary Part

    H0 Value

        Mean                              -687.350
        Std Dev                             17.099
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         -727.127       -726.771
           0.980       0.976         -722.466       -722.994
           0.950       0.948         -715.476       -716.154
           0.900       0.908         -709.264       -708.547
           0.800       0.822         -701.741       -700.774
           0.700       0.696         -696.317       -696.432
           0.500       0.484         -687.350       -687.876
           0.300       0.280         -678.384       -679.316
           0.200       0.194         -672.960       -673.130
           0.100       0.098         -665.436       -665.774
           0.050       0.048         -659.224       -659.561
           0.020       0.028         -652.234       -649.795
           0.010       0.014         -647.573       -645.635

    H1 Value

        Mean                              -687.350
        Std Dev                             17.099
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         -727.127       -726.771
           0.980       0.976         -722.466       -722.994
           0.950       0.948         -715.476       -716.154
           0.900       0.908         -709.264       -708.547
           0.800       0.822         -701.741       -700.774
           0.700       0.696         -696.317       -696.432
           0.500       0.484         -687.350       -687.876
           0.300       0.280         -678.384       -679.316
           0.200       0.194         -672.960       -673.130
           0.100       0.098         -665.436       -665.774
           0.050       0.048         -659.224       -659.561
           0.020       0.028         -652.234       -649.795
           0.010       0.014         -647.573       -645.635

Information Criteria Including the Auxiliary Part

    Number of Free Parameters                   14

    Akaike (AIC)

        Mean                              1402.701
        Std Dev                             34.198
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1323.146       1310.449
           0.980       0.972         1332.469       1325.567
           0.950       0.952         1346.449       1346.933
           0.900       0.902         1358.873       1358.663
           0.800       0.806         1373.920       1374.040
           0.700       0.720         1384.767       1386.548
           0.500       0.516         1402.701       1403.513
           0.300       0.304         1420.634       1420.862
           0.200       0.178         1431.481       1428.533
           0.100       0.092         1446.529       1444.229
           0.050       0.052         1458.953       1459.055
           0.020       0.024         1472.933       1473.817
           0.010       0.008         1482.255       1481.097

    Bayesian (BIC)

        Mean                              1448.877
        Std Dev                             34.198
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1369.323       1356.625
           0.980       0.972         1378.645       1371.743
           0.950       0.952         1392.625       1393.109
           0.900       0.902         1405.049       1404.840
           0.800       0.806         1420.096       1420.216
           0.700       0.720         1430.944       1432.725
           0.500       0.516         1448.877       1449.690
           0.300       0.304         1466.810       1467.039
           0.200       0.178         1477.658       1474.710
           0.100       0.092         1492.705       1490.406
           0.050       0.052         1505.129       1505.231
           0.020       0.024         1519.109       1519.993
           0.010       0.008         1528.431       1527.273

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

        Mean                              1404.524
        Std Dev                             34.198
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1324.969       1312.272
           0.980       0.972         1334.292       1327.390
           0.950       0.952         1348.272       1348.756
           0.900       0.902         1360.696       1360.486
           0.800       0.806         1375.743       1375.863
           0.700       0.720         1386.590       1388.371
           0.500       0.516         1404.524       1405.336
           0.300       0.304         1422.457       1422.685
           0.200       0.178         1433.304       1430.356
           0.100       0.092         1448.352       1446.052
           0.050       0.052         1460.776       1460.878
           0.020       0.024         1474.756       1475.640
           0.010       0.008         1484.078       1482.920

Chi-Square Test of Model Fit

        Degrees of freedom                       0

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.000          0.000
           0.980       1.000            0.000          0.000
           0.950       1.000            0.000          0.000
           0.900       1.000            0.000          0.000
           0.800       1.000            0.000          0.000
           0.700       1.000            0.000          0.000
           0.500       1.000            0.000          0.000
           0.300       1.000            0.000          0.000
           0.200       1.000            0.000          0.000
           0.100       1.000            0.000          0.000
           0.050       1.000            0.000          0.000
           0.020       1.000            0.000          0.000
           0.010       1.000            0.000          0.000

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations      500

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

CFI/TLI

    CFI

        Mean                                 1.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.976            1.000          1.000
           0.980       0.974            1.000          1.000
           0.950       0.972            1.000          1.000
           0.900       0.966            1.000          1.000
           0.800       0.958            1.000          1.000
           0.700       0.948            1.000          1.000
           0.500       0.934            1.000          1.000
           0.300       0.000            1.000          1.000
           0.200       0.000            1.000          1.000
           0.100       0.000            1.000          1.000
           0.050       0.000            1.000          1.000
           0.020       0.000            1.000          1.000
           0.010       0.000            1.000          1.000

    TLI

        Mean                                 1.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            1.000          1.000
           0.980       0.000            1.000          1.000
           0.950       0.000            1.000          1.000
           0.900       0.000            1.000          1.000
           0.800       0.000            1.000          1.000
           0.700       0.000            1.000          1.000
           0.500       0.000            1.000          1.000
           0.300       0.000            1.000          1.000
           0.200       0.000            1.000          1.000
           0.100       0.000            1.000          1.000
           0.050       0.000            1.000          1.000
           0.020       0.000            1.000          1.000
           0.010       0.000            1.000          1.000

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.000          0.000
           0.980       1.000            0.000          0.000
           0.950       0.992            0.000          0.000
           0.900       0.944            0.000          0.000
           0.800       0.810            0.000          0.000
           0.700       0.668            0.000          0.000
           0.500       0.422            0.000          0.000
           0.300       0.256            0.000          0.000
           0.200       0.172            0.000          0.000
           0.100       0.094            0.000          0.000
           0.050       0.066            0.000          0.000
           0.020       0.042            0.000          0.000
           0.010       0.030            0.000          0.000


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y        ON
  M                   0.500     0.5075     0.0966     0.0930     0.0094 0.946 0.998
  X                   0.000     0.0019     0.1409     0.1435     0.0198 0.962 0.038

 M        ON
  X                   0.700     0.6941     0.0987     0.1009     0.0098 0.960 1.000

 Intercepts
  Y                   0.000    -0.0080     0.0933     0.0915     0.0087 0.944 0.056
  M                   0.000     0.0027     0.0684     0.0712     0.0047 0.960 0.040

 Residual Variances
  Y                   0.750     0.7390     0.0869     0.0834     0.0077 0.928 1.000
  M                   0.510     0.5081     0.0520     0.0508     0.0027 0.942 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.491E-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 X to Y

  Total               0.350     0.3537     0.1339     0.1380     0.0179 0.952 0.716
  Tot indirect        0.350     0.3518     0.0819     0.0831     0.0067 0.946 0.998

 Specific indirect

  Y
  M
  X                   0.350     0.3518     0.0819     0.0831     0.0067 0.946 0.998

 Direct
  Y
  X                   0.000     0.0019     0.1409     0.1435     0.0198 0.962 0.038



TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             M             X
              ________      ________      ________
      1           0             0             0


           LAMBDA
              Y             M             X
              ________      ________      ________
 Y                  0             0             0
 M                  0             0             0
 X                  0             0             0


           THETA
              Y             M             X
              ________      ________      ________
 Y                  0
 M                  0             0
 X                  0             0             0


           ALPHA
              Y             M             X
              ________      ________      ________
      1           1             2             0


           BETA
              Y             M             X
              ________      ________      ________
 Y                  0             3             4
 M                  0             0             5
 X                  0             0             0


           PSI
              Y             M             X
              ________      ________      ________
 Y                  6
 M                  0             7
 X                  0             0             0


     STARTING VALUES


           NU
              Y             M             X
              ________      ________      ________
      1         0.000         0.000         0.000


           LAMBDA
              Y             M             X
              ________      ________      ________
 Y              1.000         0.000         0.000
 M              0.000         1.000         0.000
 X              0.000         0.000         1.000


           THETA
              Y             M             X
              ________      ________      ________
 Y              0.000
 M              0.000         0.000
 X              0.000         0.000         0.000


           ALPHA
              Y             M             X
              ________      ________      ________
      1         0.076        -0.079         0.515


           BETA
              Y             M             X
              ________      ________      ________
 Y              0.000         0.406         0.062
 M              0.000         0.000         0.798
 X              0.000         0.000         0.000


           PSI
              Y             M             X
              ________      ________      ________
 Y              0.761
 M              0.000         0.534
 X              0.000         0.000         0.250


DIAGRAM INFORMATION

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


     Beginning Time:  19:07:11
        Ending Time:  19:07:14
       Elapsed Time:  00:00:03



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