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

INPUT INSTRUCTIONS

  TITLE:	1 y plus 1 auxiliary z
      y and z modeled together in a mediation model
      z correlated with m
      x is randomized tx/ctrl and uncorr with z

  MONTECARLO:
  	NAMES ARE y m x z;
  	NOBSERVATIONS = 200;
  	NREPS = 500;
      cutpoints = x(0);
      missing = y;
      repsave = all;
      save = medrep*.dat;

  MODEL POPULATION:
      x@1;
      y on m*.5 x*0;
      y*.75;
      m on x*.7;
      m*.51;
      z*1;
      y with z*.5;
      m with z*.5;


  MODEL MISSING:
  	[y@-2];
  	y ON z@2;

  MODEL:
     y on m*.5 x*0;
      y*.75;
      m on x*.7;
      m*.51;
      z*1;
      y with z*.5;
      m with z*.5;

  model indirect:
      y ind x;


  OUTPUT:	TECH9;



INPUT READING TERMINATED NORMALLY



1 y plus 1 auxiliary z
y and z modeled together in a mediation model
z correlated with m
x is randomized tx/ctrl and uncorr with z

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         200

Number of replications
    Requested                                                  500
    Completed                                                  500
Value of seed                                                    0

Number of dependent variables                                    3
Number of independent variables                                  1
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y           M           Z

Observed independent variables
   X


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


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
 Z         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             Z             X
              ________      ________      ________      ________
 Y              0.755
 M              0.755         1.000
 Z              0.755         1.000         1.000
 X              0.755         1.000         1.000         1.000



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     ESTIMATED SAMPLE STATISTICS


           Means
              Y             M             Z             X
              ________      ________      ________      ________
      1         0.242         0.332         0.026         0.515


           Covariances
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.887
 M              0.294         0.693
 Z              0.679         0.505         0.895
 X              0.096         0.199         0.026         0.250


           Correlations
              Y             M             Z             X
              ________      ________      ________      ________
 Y              1.000
 M              0.375         1.000
 Z              0.763         0.641         1.000
 X              0.205         0.479         0.054         1.000


     MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -685.427


MODEL FIT INFORMATION

Number of Free Parameters                       11

Loglikelihood

    H0 Value

        Mean                              -543.199
        Std Dev                             17.137
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994         -583.064       -582.874
           0.980       0.978         -578.392       -579.118
           0.950       0.946         -571.387       -572.140
           0.900       0.910         -565.161       -564.151
           0.800       0.818         -557.621       -556.449
           0.700       0.704         -552.185       -551.964
           0.500       0.480         -543.199       -543.916
           0.300       0.284         -534.212       -535.318
           0.200       0.196         -528.776       -528.973
           0.100       0.098         -521.236       -521.423
           0.050       0.050         -515.010       -515.152
           0.020       0.026         -508.005       -504.970
           0.010       0.014         -503.333       -501.291

    H1 Value

        Mean                              -542.705
        Std Dev                             17.104
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         -582.494       -582.507
           0.980       0.976         -577.831       -579.017
           0.950       0.948         -570.839       -571.252
           0.900       0.910         -564.626       -563.549
           0.800       0.816         -557.100       -556.255
           0.700       0.706         -551.675       -551.595
           0.500       0.486         -542.705       -543.794
           0.300       0.280         -533.736       -534.761
           0.200       0.194         -528.311       -528.814
           0.100       0.102         -520.785       -520.745
           0.050       0.050         -514.572       -515.148
           0.020       0.026         -507.580       -504.772
           0.010       0.014         -502.917       -500.727

Information Criteria

    Akaike (AIC)

        Mean                              1108.397
        Std Dev                             34.273
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1028.667       1015.816
           0.980       0.974         1038.010       1031.604
           0.950       0.950         1052.021       1051.263
           0.900       0.902         1064.472       1064.288
           0.800       0.804         1079.553       1079.557
           0.700       0.716         1090.424       1092.375
           0.500       0.520         1108.397       1109.767
           0.300       0.296         1126.370       1125.675
           0.200       0.182         1137.241       1134.722
           0.100       0.090         1152.322       1150.026
           0.050       0.054         1164.773       1165.237
           0.020       0.022         1178.784       1180.102
           0.010       0.006         1188.127       1185.944

    Bayesian (BIC)

        Mean                              1144.678
        Std Dev                             34.273
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1064.948       1052.097
           0.980       0.974         1074.291       1067.886
           0.950       0.950         1088.302       1087.545
           0.900       0.902         1100.754       1100.570
           0.800       0.804         1115.834       1115.838
           0.700       0.716         1126.706       1128.657
           0.500       0.520         1144.678       1146.048
           0.300       0.296         1162.651       1161.957
           0.200       0.182         1173.523       1171.004
           0.100       0.090         1188.603       1186.308
           0.050       0.054         1201.055       1201.519
           0.020       0.022         1215.066       1216.384
           0.010       0.006         1224.409       1222.226

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

        Mean                              1109.829
        Std Dev                             34.273
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         1030.099       1017.248
           0.980       0.974         1039.442       1033.037
           0.950       0.950         1053.453       1052.695
           0.900       0.902         1065.905       1065.721
           0.800       0.804         1080.985       1080.989
           0.700       0.716         1091.856       1093.808
           0.500       0.520         1109.829       1111.199
           0.300       0.296         1127.802       1127.108
           0.200       0.182         1138.674       1136.155
           0.100       0.090         1153.754       1151.459
           0.050       0.054         1166.206       1166.670
           0.020       0.022         1180.217       1181.534
           0.010       0.006         1189.559       1187.377

Chi-Square Test of Model Fit

        Degrees of freedom                       1

        Mean                                 0.986
        Std Dev                              1.357
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988            0.000          0.000
           0.980       0.980            0.001          0.000
           0.950       0.942            0.004          0.003
           0.900       0.898            0.016          0.015
           0.800       0.816            0.064          0.081
           0.700       0.716            0.148          0.170
           0.500       0.518            0.455          0.486
           0.300       0.304            1.074          1.088
           0.200       0.202            1.642          1.666
           0.100       0.090            2.706          2.584
           0.050       0.048            3.841          3.777
           0.020       0.016            5.412          5.041
           0.010       0.004            6.635          5.798

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.024
        Std Dev                              0.042
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           -0.074          0.000
           0.980       1.000           -0.062          0.000
           0.950       1.000           -0.045          0.000
           0.900       1.000           -0.030          0.000
           0.800       1.000           -0.012          0.000
           0.700       0.312            0.002          0.000
           0.500       0.294            0.024          0.000
           0.300       0.230            0.046          0.021
           0.200       0.196            0.059          0.058
           0.100       0.130            0.077          0.089
           0.050       0.088            0.093          0.118
           0.020       0.064            0.110          0.142
           0.010       0.048            0.121          0.155

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.023
        Std Dev                              0.017
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           -0.016          0.000
           0.980       1.000           -0.012          0.001
           0.950       1.000           -0.005          0.002
           0.900       0.956            0.001          0.004
           0.800       0.782            0.009          0.008
           0.700       0.640            0.014          0.012
           0.500       0.422            0.023          0.021
           0.300       0.256            0.032          0.031
           0.200       0.202            0.038          0.038
           0.100       0.116            0.045          0.047
           0.050       0.068            0.052          0.057
           0.020       0.044            0.059          0.066
           0.010       0.028            0.063          0.072


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y        ON
  M                   0.500     0.5099     0.0963     0.0930     0.0094 0.948 0.998
  X                   0.000     0.0017     0.1228     0.1252     0.0150 0.964 0.036

 M        ON
  X                   0.700     0.6955     0.0686     0.0719     0.0047 0.950 1.000

 Y        WITH
  Z                   0.500     0.4953     0.0613     0.0587     0.0038 0.932 1.000

 M        WITH
  Z                   0.500     0.5022     0.0640     0.0618     0.0041 0.944 1.000

 Means
  Z                   0.000    -0.0009     0.0690     0.0707     0.0048 0.952 0.048

 Intercepts
  Y                   0.000    -0.0088     0.0877     0.0845     0.0077 0.948 0.052
  M                   0.000     0.0020     0.0607     0.0619     0.0037 0.958 0.042

 Variances
  Z                   1.000     1.0026     0.1020     0.1003     0.0104 0.934 1.000

 Residual Variances
  Y                   0.750     0.7402     0.0872     0.0836     0.0077 0.928 1.000
  M                   0.510     0.5093     0.0522     0.0510     0.0027 0.942 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.236E-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     0.3562     0.0877     0.0878     0.0077 0.952 0.992
  Tot indirect        0.350     0.3545     0.0747     0.0746     0.0056 0.936 0.998

 Specific indirect

  Y
  M
  X                   0.350     0.3545     0.0747     0.0746     0.0056 0.936 0.998

 Direct
  Y
  X                   0.000     0.0017     0.1228     0.1252     0.0150 0.964 0.036



TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             M             Z             X
              ________      ________      ________      ________
      1           0             0             0             0


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


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


           ALPHA
              Y             M             Z             X
              ________      ________      ________      ________
      1           1             2             3             0


           BETA
              Y             M             Z             X
              ________      ________      ________      ________
 Y                  0             4             0             5
 M                  0             0             0             6
 Z                  0             0             0             0
 X                  0             0             0             0


           PSI
              Y             M             Z             X
              ________      ________      ________      ________
 Y                  7
 M                  0             8
 Z                  9            10            11
 X                  0             0             0             0


     STARTING VALUES


           NU
              Y             M             Z             X
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


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


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


           ALPHA
              Y             M             Z             X
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.515


           BETA
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.000         0.500         0.000         0.000
 M              0.000         0.000         0.000         0.700
 Z              0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.750
 M              0.000         0.510
 Z              0.500         0.500         1.000
 X              0.000         0.000         0.000         0.250


     POPULATION VALUES


           NU
              Y             M             Z             X
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


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


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


           ALPHA
              Y             M             Z             X
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.000         0.500         0.000         0.000
 M              0.000         0.000         0.000         0.700
 Z              0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.750
 M              0.000         0.510
 Z              0.500         0.500         1.000
 X              0.000         0.000         0.000         1.000


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y
    M
    Z
    X

  Save file
    medrep*.dat

  Save file format           Free
  Save file record length    10000
  Missing designated by 999


DIAGRAM INFORMATION

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


     Beginning Time:  19:06:26
        Ending Time:  19:06:28
       Elapsed Time:  00:00:02



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