Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016   7:26 PM

INPUT INSTRUCTIONS

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

  Variable:
      names = y m tx x;

      missing = all(999);

  Analysis:
      estimator = mlr;

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

  model indirect:
      y IND tx;



INPUT READING TERMINATED NORMALLY




SUMMARY OF ANALYSIS

Number of groups                                                 1
Average number of observations                                 329

Number of replications
    Requested                                                  500
    Completed                                                  500

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

Observed dependent variables

  Continuous
   Y           M

Observed independent variables
   TX          X


Estimator                                                      MLR
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20

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

Input data format  FREE


SAMPLE STATISTICS

NOTE:  These are average results over 500 data sets.


     SAMPLE STATISTICS


           Means
              Y             M             TX            X
              ________      ________      ________      ________
 1             -0.821        -0.548         0.547        -0.183


           Covariances
              Y             M             TX            X
              ________      ________      ________      ________
 Y              0.988
 M              0.512         0.654
 TX            -0.080        -0.100         0.247
 X              0.317         0.403         0.016         0.939


           Correlations
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.000
 M              0.637         1.000
 TX            -0.161        -0.250         1.000
 X              0.329         0.515         0.033         1.000


MODEL FIT INFORMATION

Number of Free Parameters                        9

Loglikelihood

    H0 Value

        Mean                              -705.365
        Std Dev                             28.650
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         -772.013       -770.866
           0.980       0.976         -764.203       -766.305
           0.950       0.954         -752.491       -751.929
           0.900       0.896         -742.083       -744.226
           0.800       0.800         -729.477       -729.826
           0.700       0.698         -720.389       -720.821
           0.500       0.498         -705.365       -706.518
           0.300       0.308         -690.342       -689.493
           0.200       0.206         -681.254       -680.680
           0.100       0.104         -668.648       -667.591
           0.050       0.058         -658.240       -656.568
           0.020       0.020         -646.528       -646.793
           0.010       0.010         -638.718       -639.065

    H1 Value

        Mean                              -705.365
        Std Dev                             28.650
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         -772.013       -770.866
           0.980       0.976         -764.203       -766.305
           0.950       0.954         -752.491       -751.929
           0.900       0.896         -742.083       -744.226
           0.800       0.800         -729.477       -729.826
           0.700       0.698         -720.389       -720.821
           0.500       0.498         -705.365       -706.518
           0.300       0.308         -690.342       -689.493
           0.200       0.206         -681.254       -680.680
           0.100       0.104         -668.648       -667.591
           0.050       0.058         -658.240       -656.568
           0.020       0.020         -646.528       -646.793
           0.010       0.010         -638.718       -639.065

Information Criteria

    Akaike (AIC)

        Mean                              1428.731
        Std Dev                             57.299
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1295.436       1294.418
           0.980       0.980         1311.055       1310.525
           0.950       0.942         1334.479       1331.010
           0.900       0.896         1355.296       1352.786
           0.800       0.794         1380.508       1378.307
           0.700       0.692         1398.683       1396.324
           0.500       0.502         1428.731       1429.780
           0.300       0.302         1458.779       1458.917
           0.200       0.200         1476.954       1476.952
           0.100       0.104         1502.166       1504.079
           0.050       0.046         1522.983       1519.677
           0.020       0.024         1546.407       1549.514
           0.010       0.008         1562.026       1554.317

    Bayesian (BIC)

        Mean                              1462.891
        Std Dev                             57.516
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1329.091       1327.812
           0.980       0.980         1344.770       1344.096
           0.950       0.942         1368.283       1365.256
           0.900       0.896         1389.178       1386.840
           0.800       0.792         1414.485       1412.389
           0.700       0.690         1432.730       1430.295
           0.500       0.502         1462.891       1464.214
           0.300       0.300         1493.053       1492.999
           0.200       0.202         1511.297       1511.332
           0.100       0.104         1536.604       1538.460
           0.050       0.046         1557.500       1554.269
           0.020       0.024         1581.012       1584.261
           0.010       0.008         1596.691       1589.039

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

        Mean                              1434.343
        Std Dev                             57.515
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1300.546       1299.268
           0.980       0.980         1316.225       1315.552
           0.950       0.942         1339.737       1336.707
           0.900       0.896         1360.632       1358.295
           0.800       0.792         1385.939       1383.842
           0.700       0.690         1404.182       1401.748
           0.500       0.502         1434.343       1435.664
           0.300       0.300         1464.504       1464.451
           0.200       0.202         1482.748       1482.783
           0.100       0.104         1508.054       1509.911
           0.050       0.046         1528.950       1525.719
           0.020       0.024         1552.462       1555.710
           0.010       0.008         1568.140       1560.488

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       0.984            1.000          1.000
           0.980       0.964            1.000          1.000
           0.950       0.918            1.000          1.000
           0.900       0.866            1.000          1.000
           0.800       0.800            1.000          1.000
           0.700       0.716            1.000          1.000
           0.500       0.598            1.000          1.000
           0.300       0.414            1.000          1.000
           0.200       0.212            1.000          1.000
           0.100       0.006            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       0.994            0.000          0.000
           0.900       0.938            0.000          0.000
           0.800       0.750            0.000          0.000
           0.700       0.626            0.000          0.000
           0.500       0.464            0.000          0.000
           0.300       0.308            0.000          0.000
           0.200       0.190            0.000          0.000
           0.100       0.094            0.000          0.000
           0.050       0.062            0.000          0.000
           0.020       0.042            0.000          0.000
           0.010       0.026            0.000          0.000


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y        ON
  M                   1.000     0.7804     0.0659     0.0644     0.0525 0.078 1.000
  TX                  0.000    -0.0055     0.0900     0.0889     0.0081 0.962 0.038
  X                   0.000     0.0023     0.0530     0.0516     0.0028 0.962 0.038

 M        ON
  TX                 -0.500    -0.4344     0.0741     0.0729     0.0098 0.864 1.000
  X                   0.500     0.4367     0.0386     0.0375     0.0055 0.584 1.000

 Intercepts
  Y                   0.000    -0.3899     0.0662     0.0633     0.1564 0.000 1.000
  M                   0.000    -0.2298     0.0560     0.0542     0.0560 0.014 0.986

 Residual Variances
  Y                   0.750     0.5820     0.0434     0.0457     0.0301 0.050 1.000
  M                   0.500     0.4315     0.0343     0.0333     0.0059 0.428 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.859E-01
       (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    -0.3444     0.1050     0.1020     0.0352 0.664 0.922
  Tot indirect       -0.500    -0.3389     0.0644     0.0638     0.0301 0.306 1.000

 Specific indirect

  Y
  M
  TX                 -0.500    -0.3389     0.0644     0.0638     0.0301 0.306 1.000

 Direct
  Y
  TX                  0.000    -0.0055     0.0900     0.0889     0.0081 0.962 0.038



TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


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


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


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


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


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


           PSI
              Y             M             TX            X
              ________      ________      ________      ________
 Y                  8
 M                  0             9
 TX                 0             0             0
 X                  0             0             0             0


     STARTING VALUES


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


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


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


           ALPHA
              Y             M             TX            X
              ________      ________      ________      ________
      1         0.000         0.000         0.530        -0.169


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


           PSI
              Y             M             TX            X
              ________      ________      ________      ________
 Y              0.750
 M              0.000         0.500
 TX             0.000         0.000         0.249
 X              0.000         0.000         0.058         0.938


DIAGRAM INFORMATION

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


     Beginning Time:  19:26:07
        Ending Time:  19:26:10
       Elapsed Time:  00:00:03



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