Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022  10:27 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a three-level MIMIC with
  	continuous factor indicators, two covariates on within,
      one covariate on between 2, one covariate on between 3,
  	and random slopes on both within and between 2

  montecarlo:
      names are y1-y6 x1 x2 w z;
      nobservations = 7500;
      nreps = 1;
      CSIZES = 50[30(5)];
      ncsize = 1[1];	
      save = ex9.22.dat;
  	WITHIN = x1 x2;
  	BETWEEN = (level2) w (level3) z;

  ANALYSIS:	TYPE = THREELEVEL RANDOM;

  MODEL POPULATION:

  	%WITHIN%
  	x1-x2@1;
  	fw1 BY y1@1 y2-y3*1;
      fw2 BY y4@1 y5-y6*1;
      fw1 on x1*.8;
  	s | fw2 ON x2;
  	fw1-fw2*1;
      fw1 with fw2*0;
  	y1-y6*1;

  	%BETWEEN Level2%
  	w@1;
  	fb2 BY y1@1 y2-y6*1;
  	y1-y6*.5;
  	fb2*.5;
  	sf2 | fb2 on w;
  	ss | s on w;
      s*.6;
      fb2 with s*0;

      %Between Level3%
      z@1;
      fb3 BY y1@1 y2-y6*1;
      fb3 ON z*.5;
      fb3*.3;
      s ON z*.3;
      s*.3;
      sf2 ON z*.2;
      sf2*.3;
      ss ON z*.3;
      ss*.3;
      fb3 with s*0;
      fb3 with sf2*0;
      fb3 with ss*0;
      s with sf2*0;
      s with ss*0;
      sf2 with ss*0;
      [s*.2];
      [sf2*1];
      [ss*.5];
      y1-y6*.2;
      [y1-y6*.5];

  MODEL:
  	%WITHIN%
  !	x1-x2@1;
  	fw1 BY y1@1 y2-y3*1;
      fw2 BY y4@1 y5-y6*1;
      fw1 on x1*.8;
  	s | fw2 ON x2;
  	fw1-fw2*1;
      fw1 with fw2*0;
  	y1-y6*1;

  	%BETWEEN Level2%
  !	w@1;
  	fb2 BY y1@1 y2-y6*1;
  	y1-y6*.5;
  	fb2*.5;
  	sf2 | fb2 on w;
  	ss | s on w;
      s*.6;
      fb2 with s*0;

      %Between Level3%
  !    z@1;
      fb3 BY y1@1 y2-y6*1;
      fb3 ON z*.5;
      fb3*.3;
      s ON z*.3;
      s*.3;
      sf2 ON z*.2;
      sf2*.3;
      ss ON z*.3;
      ss*.3;
      fb3 with s*0;
      fb3 with sf2*0;
      fb3 with ss*0;
      s with sf2*0;
      s with ss*0;
      sf2 with ss*0;
      [s*.2];
      [sf2*1];
      [ss*.5];
      y1-y6*.2;
      [y1-y6*.5];

  output:
  	tech8 tech9;



INPUT READING TERMINATED NORMALLY



this is an example of a three-level MIMIC with
continuous factor indicators, two covariates on within,
one covariate on between 2, one covariate on between 3,
and random slopes on both within and between 2

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        7500

Number of replications
    Requested                                                    1
    Completed                                                    1
Value of seed                                                    0

Number of dependent variables                                    6
Number of independent variables                                  4
Number of continuous latent variables                            7

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5          Y6

Observed independent variables
   X1          X2          W           Z

Continuous latent variables
   FW1         FW2         FB2         S           FB3         SF2
   SS

Variables with special functions

  Within variables
   X1          X2

  Level 2 between variables
   W

  Level 3 between variables
   Z


Estimator                                                      MLR
Information matrix                                        OBSERVED
Maximum number of iterations                                   100
Convergence criterion                                    0.100D-05
Maximum number of EM iterations                                500
Convergence criteria for the EM algorithm
  Loglikelihood change                                   0.100D-02
  Relative loglikelihood change                          0.100D-05
  Derivative                                             0.100D-03
Minimum variance                                         0.100D-03
Maximum number of steepest descent iterations                   20
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-02
Optimization algorithm                                         EMA


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Cluster information

     Number of level 3 clusters            50

       Size (s)    Number of level 2 clusters of Size s

          5            30

     Average cluster size for LEVEL2 level        5.000

     Estimated Intraclass Correlations for the Y Variables for LEVEL2 level

                Intraclass              Intraclass              Intraclass
     Variable  Correlation   Variable  Correlation   Variable  Correlation

     Y1           0.414      Y2           0.431      Y3           0.417
     Y4           0.367      Y5           0.384      Y6           0.365

     Average cluster size for LEVEL3 level      150.000

     Estimated Intraclass Correlations for the Y Variables for LEVEL3 level

                Intraclass              Intraclass              Intraclass
     Variable  Correlation   Variable  Correlation   Variable  Correlation

     Y1           0.164      Y2           0.150      Y3           0.154
     Y4           0.121      Y5           0.097      Y6           0.102


SAMPLE STATISTICS FOR THE FIRST REPLICATION

NOTE:  The sample statistics for within and between refer to the
       maximum-likelihood estimated within and between covariance
       matrices, respectively.


     ESTIMATED SAMPLE STATISTICS FOR WITHIN


           Means
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           Means
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
                0.000        -0.012         0.008         0.000         0.000


           Covariances
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             2.641
 Y2             1.620         2.559
 Y3             1.603         1.584         2.615
 Y4            -0.027        -0.022        -0.019         3.842
 Y5            -0.036        -0.022        -0.046         2.811         3.806
 Y6            -0.030        -0.053        -0.027         2.851         2.846
 X1             0.779         0.792         0.776        -0.006        -0.010
 X2            -0.003        -0.007        -0.001         0.319         0.293
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           Covariances
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
 Y6             3.875
 X1            -0.025         0.998
 X2             0.296        -0.009         0.993
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           Correlations
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.623         1.000
 Y3             0.610         0.612         1.000
 Y4            -0.009        -0.007        -0.006         1.000
 Y5            -0.011        -0.007        -0.015         0.735         1.000
 Y6            -0.009        -0.017        -0.008         0.739         0.741
 X1             0.480         0.496         0.480        -0.003        -0.005
 X2            -0.002        -0.005        -0.001         0.163         0.151
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           Correlations
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
 Y6             1.000
 X1            -0.013         1.000
 X2             0.151        -0.009         1.000
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


     ESTIMATED SAMPLE STATISTICS FOR BETWEEN LEVEL2


           Means
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           Means
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.016         0.000


           Covariances
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             2.588
 Y2             2.143         2.640
 Y3             2.062         2.149         2.545
 Y4             2.219         2.190         2.186         2.751
 Y5             2.202         2.207         2.205         2.268         2.815
 Y6             2.117         2.157         2.117         2.168         2.177
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 W              1.138         1.159         1.095         1.168         1.171
 Z              0.000         0.000         0.000         0.000         0.000


           Covariances
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
 Y6             2.648
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 W              1.143         0.000         0.000         0.996
 Z              0.000         0.000         0.000         0.000         0.000


           Correlations
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.820         1.000
 Y3             0.803         0.829         1.000
 Y4             0.832         0.812         0.826         1.000
 Y5             0.816         0.810         0.824         0.815         1.000
 Y6             0.809         0.816         0.815         0.803         0.797
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 W              0.708         0.715         0.687         0.705         0.699
 Z              0.000         0.000         0.000         0.000         0.000


           Correlations
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
 Y6             1.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 W              0.704         0.000         0.000         1.000
 Z              0.000         0.000         0.000         0.000         0.000


     ESTIMATED SAMPLE STATISTICS FOR BETWEEN LEVEL3


           Means
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.591         0.579         0.620         0.648         0.528


           Means
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
                0.591         0.000         0.000         0.000         0.205


           Covariances
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.023
 Y2             0.686         0.921
 Y3             0.698         0.765         0.937
 Y4             0.812         0.691         0.676         0.909
 Y5             0.651         0.699         0.618         0.685         0.714
 Y6             0.629         0.613         0.627         0.684         0.572
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.652         0.584         0.652         0.638         0.519


           Covariances
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
 Y6             0.737
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.659         0.000         0.000         0.000         0.840


           Correlations
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.707         1.000
 Y3             0.714         0.824         1.000
 Y4             0.842         0.755         0.732         1.000
 Y5             0.762         0.862         0.756         0.850         1.000
 Y6             0.724         0.744         0.754         0.836         0.789
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.703         0.664         0.735         0.730         0.670


           Correlations
              Y6            X1            X2            W             Z
              ________      ________      ________      ________      ________
 Y6             1.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.837         0.000         0.000         0.000         1.000




MODEL FIT INFORMATION

Number of Free Parameters                       62

Loglikelihood

    H0 Value

        Mean                            -80911.886
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       -80911.886     -80911.886
           0.980       0.000       -80911.886     -80911.886
           0.950       0.000       -80911.886     -80911.886
           0.900       0.000       -80911.886     -80911.886
           0.800       0.000       -80911.886     -80911.886
           0.700       0.000       -80911.886     -80911.886
           0.500       0.000       -80911.886     -80911.886
           0.300       0.000       -80911.886     -80911.886
           0.200       0.000       -80911.886     -80911.886
           0.100       0.000       -80911.886     -80911.886
           0.050       0.000       -80911.886     -80911.886
           0.020       0.000       -80911.886     -80911.886
           0.010       0.000       -80911.886     -80911.886

Information Criteria

    Akaike (AIC)

        Mean                            161947.773
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       161947.773     161947.773
           0.980       0.000       161947.773     161947.773
           0.950       0.000       161947.773     161947.773
           0.900       0.000       161947.773     161947.773
           0.800       0.000       161947.773     161947.773
           0.700       0.000       161947.773     161947.773
           0.500       0.000       161947.773     161947.773
           0.300       0.000       161947.773     161947.773
           0.200       0.000       161947.773     161947.773
           0.100       0.000       161947.773     161947.773
           0.050       0.000       161947.773     161947.773
           0.020       0.000       161947.773     161947.773
           0.010       0.000       161947.773     161947.773

    Bayesian (BIC)

        Mean                            162376.977
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       162376.977     162376.977
           0.980       0.000       162376.977     162376.977
           0.950       0.000       162376.977     162376.977
           0.900       0.000       162376.977     162376.977
           0.800       0.000       162376.977     162376.977
           0.700       0.000       162376.977     162376.977
           0.500       0.000       162376.977     162376.977
           0.300       0.000       162376.977     162376.977
           0.200       0.000       162376.977     162376.977
           0.100       0.000       162376.977     162376.977
           0.050       0.000       162376.977     162376.977
           0.020       0.000       162376.977     162376.977
           0.010       0.000       162376.977     162376.977

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

        Mean                            162179.955
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       162179.955     162179.955
           0.980       0.000       162179.955     162179.955
           0.950       0.000       162179.955     162179.955
           0.900       0.000       162179.955     162179.955
           0.800       0.000       162179.955     162179.955
           0.700       0.000       162179.955     162179.955
           0.500       0.000       162179.955     162179.955
           0.300       0.000       162179.955     162179.955
           0.200       0.000       162179.955     162179.955
           0.100       0.000       162179.955     162179.955
           0.050       0.000       162179.955     162179.955
           0.020       0.000       162179.955     162179.955
           0.010       0.000       162179.955     162179.955



MODEL RESULTS

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

Within Level

 FW1      BY
  Y1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0004     0.0000     0.0159     0.0000 1.000 1.000
  Y3                  1.000     0.9850     0.0000     0.0163     0.0002 1.000 1.000

 FW2      BY
  Y4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y5                  1.000     1.0026     0.0000     0.0124     0.0000 1.000 1.000
  Y6                  1.000     1.0127     0.0000     0.0129     0.0002 1.000 1.000

 FW1        ON
  X1                  0.800     0.7886     0.0000     0.0154     0.0001 1.000 1.000

 FW1      WITH
  FW2                 0.000    -0.0168     0.0000     0.0191     0.0003 1.000 0.000

 Residual Variances
  Y1                  1.000     1.0182     0.0000     0.0262     0.0003 1.000 1.000
  Y2                  1.000     0.9443     0.0000     0.0251     0.0031 0.000 1.000
  Y3                  1.000     1.0455     0.0000     0.0224     0.0021 0.000 1.000
  Y4                  1.000     1.0329     0.0000     0.0315     0.0011 1.000 1.000
  Y5                  1.000     0.9903     0.0000     0.0259     0.0001 1.000 1.000
  Y6                  1.000     0.9940     0.0000     0.0246     0.0000 1.000 1.000
  FW1                 1.000     0.9964     0.0000     0.0283     0.0000 1.000 1.000
  FW2                 1.000     1.0050     0.0000     0.0313     0.0000 1.000 1.000

Between LEVEL2 Level

 FB2      BY
  Y1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     1.0184     0.0000     0.0217     0.0003 1.000 1.000
  Y3                  1.000     0.9907     0.0000     0.0235     0.0001 1.000 1.000
  Y4                  1.000     1.0382     0.0000     0.0284     0.0015 1.000 1.000
  Y5                  1.000     1.0360     0.0000     0.0232     0.0013 1.000 1.000
  Y6                  1.000     0.9996     0.0000     0.0262     0.0000 1.000 1.000

 FB2      WITH
  S                   0.000     0.0175     0.0000     0.0191     0.0003 1.000 0.000

 Residual Variances
  Y1                  0.500     0.4921     0.0000     0.0314     0.0001 1.000 1.000
  Y2                  0.500     0.4434     0.0000     0.0345     0.0032 1.000 1.000
  Y3                  0.500     0.4757     0.0000     0.0274     0.0006 1.000 1.000
  Y4                  0.500     0.4909     0.0000     0.0343     0.0001 1.000 1.000
  Y5                  0.500     0.5415     0.0000     0.0314     0.0017 1.000 1.000
  Y6                  0.500     0.5535     0.0000     0.0389     0.0029 1.000 1.000
  FB2                 0.500     0.4551     0.0000     0.0275     0.0020 1.000 1.000
  S                   0.600     0.6090     0.0000     0.0371     0.0001 1.000 1.000

Between LEVEL3 Level

 FB3      BY
  Y1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2                  1.000     0.9612     0.0000     0.1519     0.0015 1.000 1.000
  Y3                  1.000     0.9706     0.0000     0.1439     0.0009 1.000 1.000
  Y4                  1.000     1.0076     0.0000     0.1049     0.0001 1.000 1.000
  Y5                  1.000     0.8890     0.0000     0.1251     0.0123 1.000 1.000
  Y6                  1.000     0.9028     0.0000     0.1202     0.0094 1.000 1.000

 FB3        ON
  Z                   0.500     0.7568     0.0000     0.1159     0.0659 0.000 1.000

 S          ON
  Z                   0.300     0.3103     0.0000     0.0795     0.0001 1.000 1.000

 SF2        ON
  Z                   0.200     0.1300     0.0000     0.0859     0.0049 1.000 0.000

 SS         ON
  Z                   0.300     0.3434     0.0000     0.0814     0.0019 1.000 1.000

 FB3      WITH
  S                   0.000     0.0249     0.0000     0.0468     0.0006 1.000 0.000
  SF2                 0.000     0.0654     0.0000     0.0490     0.0043 1.000 0.000
  SS                  0.000    -0.0362     0.0000     0.0332     0.0013 1.000 0.000

 S        WITH
  SF2                 0.000     0.0445     0.0000     0.0502     0.0020 1.000 0.000
  SS                  0.000     0.0473     0.0000     0.0400     0.0022 1.000 0.000

 SF2      WITH
  SS                  0.000     0.0177     0.0000     0.0476     0.0003 1.000 0.000

 Intercepts
  Y1                  0.500     0.4232     0.0000     0.1044     0.0059 1.000 1.000
  Y2                  0.500     0.4161     0.0000     0.1088     0.0070 1.000 1.000
  Y3                  0.500     0.4569     0.0000     0.1037     0.0019 1.000 1.000
  Y4                  0.500     0.4668     0.0000     0.0978     0.0011 1.000 1.000
  Y5                  0.500     0.3649     0.0000     0.0885     0.0183 1.000 1.000
  Y6                  0.500     0.4271     0.0000     0.0783     0.0053 1.000 1.000
  S                   0.200     0.2218     0.0000     0.0825     0.0005 1.000 1.000
  SF2                 1.000     1.1035     0.0000     0.0925     0.0107 1.000 1.000
  SS                  0.500     0.4459     0.0000     0.0768     0.0029 1.000 1.000

 Residual Variances
  Y1                  0.200     0.3005     0.0000     0.0957     0.0101 1.000 1.000
  Y2                  0.200     0.2161     0.0000     0.0662     0.0003 1.000 1.000
  Y3                  0.200     0.2380     0.0000     0.0572     0.0014 1.000 1.000
  Y4                  0.200     0.1350     0.0000     0.0348     0.0042 1.000 1.000
  Y5                  0.200     0.1254     0.0000     0.0333     0.0056 0.000 1.000
  Y6                  0.200     0.1556     0.0000     0.0445     0.0020 1.000 1.000
  FB3                 0.300     0.2424     0.0000     0.0850     0.0033 1.000 1.000
  S                   0.300     0.3184     0.0000     0.0717     0.0003 1.000 1.000
  SF2                 0.300     0.3619     0.0000     0.0663     0.0038 1.000 1.000
  SS                  0.300     0.2209     0.0000     0.0436     0.0063 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix     -0.245E-16
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              Y6            X1            X2
              ________      ________      ________
                    0             0             0


           LAMBDA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                 1             0             0             0
 Y3                 2             0             0             0
 Y4                 0             0             0             0
 Y5                 0             3             0             0
 Y6                 0             4             0             0
 X1                 0             0             0             0
 X2                 0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 5
 Y2                 0             6
 Y3                 0             0             7
 Y4                 0             0             0             8
 Y5                 0             0             0             0             9
 Y6                 0             0             0             0             0
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0


           THETA
              Y6            X1            X2
              ________      ________      ________
 Y6                10
 X1                 0             0
 X2                 0             0             0


           ALPHA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
                    0             0             0             0


           BETA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 FW1                0             0            11             0
 FW2                0             0             0             0
 X1                 0             0             0             0
 X2                 0             0             0             0


           PSI
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 FW1               12
 FW2               13            14
 X1                 0             0             0
 X2                 0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                    0             0             0             0             0


           NU
              Y6            W
              ________      ________
                    0             0


           LAMBDA
              FB2           S%B2          W
              ________      ________      ________
 Y1                 0             0             0
 Y2                15             0             0
 Y3                16             0             0
 Y4                17             0             0
 Y5                18             0             0
 Y6                19             0             0
 W                  0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                20
 Y2                 0            21
 Y3                 0             0            22
 Y4                 0             0             0            23
 Y5                 0             0             0             0            24
 Y6                 0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              Y6            W
              ________      ________
 Y6                25
 W                  0             0


           ALPHA
              FB2           S%B2          W
              ________      ________      ________
                    0             0             0


           BETA
              FB2           S%B2          W
              ________      ________      ________
 FB2                0             0             0
 S%B2               0             0             0
 W                  0             0             0


           PSI
              FB2           S%B2          W
              ________      ________      ________
 FB2               26
 S%B2              27            28
 W                  0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL3


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                   29            30            31            32            33


           NU
              Y6            Z
              ________      ________
                   34             0


           LAMBDA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                35             0             0             0             0
 Y3                36             0             0             0             0
 Y4                37             0             0             0             0
 Y5                38             0             0             0             0
 Y6                39             0             0             0             0
 Z                  0             0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                40
 Y2                 0            41
 Y3                 0             0            42
 Y4                 0             0             0            43
 Y5                 0             0             0             0            44
 Y6                 0             0             0             0             0
 Z                  0             0             0             0             0


           THETA
              Y6            Z
              ________      ________
 Y6                45
 Z                  0             0


           ALPHA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
                    0            46            47            48             0


           BETA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 FB3                0             0             0             0            49
 S%B3               0             0             0             0            50
 SF2                0             0             0             0            51
 SS                 0             0             0             0            52
 Z                  0             0             0             0             0


           PSI
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 FB3               53
 S%B3              54            55
 SF2               56            57            58
 SS                59            60            61            62
 Z                  0             0             0             0             0


     STARTING VALUES FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y6            X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000
 Y5             0.000         1.000         0.000         0.000
 Y6             0.000         1.000         0.000         0.000
 X1             0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.000         1.000
 Y3             0.000         0.000         1.000
 Y4             0.000         0.000         0.000         1.000
 Y5             0.000         0.000         0.000         0.000         1.000
 Y6             0.000         0.000         0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            X1            X2
              ________      ________      ________
 Y6             1.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           BETA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 FW1            0.000         0.000         0.800         0.000
 FW2            0.000         0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000


           PSI
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 FW1            1.000
 FW2            0.000         1.000
 X1             0.000         0.000         0.500
 X2             0.000         0.000         0.000         0.500


     STARTING VALUES FOR BETWEEN LEVEL2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y6            W
              ________      ________
                0.000         0.000


           LAMBDA
              FB2           S%B2          W
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         0.000         0.000
 Y3             1.000         0.000         0.000
 Y4             1.000         0.000         0.000
 Y5             1.000         0.000         0.000
 Y6             1.000         0.000         0.000
 W              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 Y5             0.000         0.000         0.000         0.000         0.500
 Y6             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            W
              ________      ________
 Y6             0.500
 W              0.000         0.000


           ALPHA
              FB2           S%B2          W
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              FB2           S%B2          W
              ________      ________      ________
 FB2            0.000         0.000         0.000
 S%B2           0.000         0.000         0.000
 W              0.000         0.000         0.000


           PSI
              FB2           S%B2          W
              ________      ________      ________
 FB2            0.500
 S%B2           0.000         0.600
 W              0.000         0.000         0.500


     STARTING VALUES FOR BETWEEN LEVEL3


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.500         0.500         0.500         0.500         0.500


           NU
              Y6            Z
              ________      ________
                0.500         0.000


           LAMBDA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000         0.000
 Y4             1.000         0.000         0.000         0.000         0.000
 Y5             1.000         0.000         0.000         0.000         0.000
 Y6             1.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.200
 Y2             0.000         0.200
 Y3             0.000         0.000         0.200
 Y4             0.000         0.000         0.000         0.200
 Y5             0.000         0.000         0.000         0.000         0.200
 Y6             0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Z
              ________      ________
 Y6             0.200
 Z              0.000         0.000


           ALPHA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
                0.000         0.200         1.000         0.500         0.000


           BETA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 FB3            0.000         0.000         0.000         0.000         0.500
 S%B3           0.000         0.000         0.000         0.000         0.300
 SF2            0.000         0.000         0.000         0.000         0.200
 SS             0.000         0.000         0.000         0.000         0.300
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 FB3            0.300
 S%B3           0.000         0.300
 SF2            0.000         0.000         0.300
 SS             0.000         0.000         0.000         0.300
 Z              0.000         0.000         0.000         0.000         0.500


     POPULATION VALUES FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y6            X1            X2
              ________      ________      ________
                0.000         0.000         0.000


           LAMBDA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000
 Y4             0.000         1.000         0.000         0.000
 Y5             0.000         1.000         0.000         0.000
 Y6             0.000         1.000         0.000         0.000
 X1             0.000         0.000         1.000         0.000
 X2             0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.000         1.000
 Y3             0.000         0.000         1.000
 Y4             0.000         0.000         0.000         1.000
 Y5             0.000         0.000         0.000         0.000         1.000
 Y6             0.000         0.000         0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            X1            X2
              ________      ________      ________
 Y6             1.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000


           ALPHA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
                0.000         0.000         0.000         0.000


           BETA
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 FW1            0.000         0.000         0.800         0.000
 FW2            0.000         0.000         0.000         0.000
 X1             0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000


           PSI
              FW1           FW2           X1            X2
              ________      ________      ________      ________
 FW1            1.000
 FW2            0.000         1.000
 X1             0.000         0.000         1.000
 X2             0.000         0.000         0.000         1.000


     POPULATION VALUES FOR BETWEEN LEVEL2


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.000         0.000         0.000         0.000         0.000


           NU
              Y6            W
              ________      ________
                0.000         0.000


           LAMBDA
              FB2           S%B2          W
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         0.000         0.000
 Y3             1.000         0.000         0.000
 Y4             1.000         0.000         0.000
 Y5             1.000         0.000         0.000
 Y6             1.000         0.000         0.000
 W              0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 Y5             0.000         0.000         0.000         0.000         0.500
 Y6             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            W
              ________      ________
 Y6             0.500
 W              0.000         0.000


           ALPHA
              FB2           S%B2          W
              ________      ________      ________
                0.000         0.000         0.000


           BETA
              FB2           S%B2          W
              ________      ________      ________
 FB2            0.000         0.000         0.000
 S%B2           0.000         0.000         0.000
 W              0.000         0.000         0.000


           PSI
              FB2           S%B2          W
              ________      ________      ________
 FB2            0.500
 S%B2           0.000         0.600
 W              0.000         0.000         1.000


     POPULATION VALUES FOR BETWEEN LEVEL3


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
                0.500         0.500         0.500         0.500         0.500


           NU
              Y6            Z
              ________      ________
                0.500         0.000


           LAMBDA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000         0.000
 Y3             1.000         0.000         0.000         0.000         0.000
 Y4             1.000         0.000         0.000         0.000         0.000
 Y5             1.000         0.000         0.000         0.000         0.000
 Y6             1.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.200
 Y2             0.000         0.200
 Y3             0.000         0.000         0.200
 Y4             0.000         0.000         0.000         0.200
 Y5             0.000         0.000         0.000         0.000         0.200
 Y6             0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              Y6            Z
              ________      ________
 Y6             0.200
 Z              0.000         0.000


           ALPHA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
                0.000         0.200         1.000         0.500         0.000


           BETA
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 FB3            0.000         0.000         0.000         0.000         0.500
 S%B3           0.000         0.000         0.000         0.000         0.300
 SF2            0.000         0.000         0.000         0.000         0.200
 SS             0.000         0.000         0.000         0.000         0.300
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              FB3           S%B3          SF2           SS            Z
              ________      ________      ________      ________      ________
 FB3            0.300
 S%B3           0.000         0.300
 SF2            0.000         0.000         0.300
 SS             0.000         0.000         0.000         0.300
 Z              0.000         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 -0.80942857D+05    0.0000000    0.0000000  EM
              2 -0.80914719D+05   28.1373777    0.0003476  EM
              3 -0.80912619D+05    2.1001257    0.0000260  EM
              4 -0.80912153D+05    0.4659906    0.0000058  EM
              5 -0.80911996D+05    0.1568697    0.0000019  EM
              6 -0.80911935D+05    0.0617190    0.0000008  EM
              7 -0.80911908D+05    0.0263382    0.0000003  EM
              8 -0.80911897D+05    0.0118726    0.0000001  EM
              9 -0.80911891D+05    0.0055632    0.0000001  EM
             10 -0.80911888D+05    0.0026834    0.0000000  EM
             11 -0.80911887D+05    0.0013241    0.0000000  EM
             12 -0.80911886D+05    0.0006611    0.0000000  EM


   TECHNICAL 8 OUTPUT FOR THE H1 MODEL FOR REPLICATION 1


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.86223729D+05    0.0000000    0.0000000  EM
              2 -0.83090063D+05 3133.6659335    0.0363434  EM
              3 -0.83033853D+05   56.2100228    0.0006765  EM
              4 -0.83030450D+05    3.4036723    0.0000410  EM
              5 -0.83029747D+05    0.7024601    0.0000085  EM
              6 -0.83029400D+05    0.3470544    0.0000042  EM
              7 -0.83029171D+05    0.2289480    0.0000028  EM
              8 -0.83029002D+05    0.1685819    0.0000020  EM
              9 -0.83028871D+05    0.1310398    0.0000016  EM
             10 -0.83028766D+05    0.1051619    0.0000013  EM
             11 -0.83028680D+05    0.0862198    0.0000010  EM
             12 -0.83028608D+05    0.0717973    0.0000009  EM
             13 -0.83028548D+05    0.0604983    0.0000007  EM
             14 -0.83028496D+05    0.0514504    0.0000006  EM
             15 -0.83028452D+05    0.0440780    0.0000005  EM
             16 -0.83028414D+05    0.0379861    0.0000005  EM
             17 -0.83028381D+05    0.0328949    0.0000004  EM
             18 -0.83028353D+05    0.0286002    0.0000003  EM
             19 -0.83028328D+05    0.0249498    0.0000003  EM
             20 -0.83028306D+05    0.0218275    0.0000003  EM
             21 -0.83028287D+05    0.0191426    0.0000002  EM
             22 -0.83028270D+05    0.0168237    0.0000002  EM
             23 -0.83028255D+05    0.0148134    0.0000002  EM
             24 -0.83028242D+05    0.0130648    0.0000002  EM
             25 -0.83028231D+05    0.0115397    0.0000001  EM
             26 -0.83028220D+05    0.0102062    0.0000001  EM
             27 -0.83028211D+05    0.0090377    0.0000001  EM
             28 -0.83028203D+05    0.0080118    0.0000001  EM
             29 -0.83028196D+05    0.0071095    0.0000001  EM
             30 -0.83028190D+05    0.0063147    0.0000001  EM
             31 -0.83028184D+05    0.0056135    0.0000001  EM
             32 -0.83028179D+05    0.0049942    0.0000001  EM
             33 -0.83028175D+05    0.0044464    0.0000001  EM
             34 -0.83028171D+05    0.0039615    0.0000000  EM
             35 -0.83028167D+05    0.0035317    0.0000000  EM
             36 -0.83028164D+05    0.0031504    0.0000000  EM
             37 -0.83028161D+05    0.0028119    0.0000000  EM
             38 -0.83028159D+05    0.0025111    0.0000000  EM
             39 -0.83028157D+05    0.0022435    0.0000000  EM
             40 -0.83028155D+05    0.0020054    0.0000000  EM
             41 -0.83028153D+05    0.0017934    0.0000000  EM
             42 -0.83028151D+05    0.0016044    0.0000000  EM
             43 -0.83028150D+05    0.0014359    0.0000000  EM
             44 -0.83028149D+05    0.0012855    0.0000000  EM
             45 -0.83028147D+05    0.0011513    0.0000000  EM
             46 -0.83028146D+05    0.0010315    0.0000000  EM
             47 -0.83028145D+05    0.0009244    0.0000000  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)

     REPLICATION 1:
     THE STANDARD ERRORS OF THE MODEL PARAMETER ESTIMATES MAY NOT BE
     TRUSTWORTHY FOR SOME PARAMETERS DUE TO A NON-POSITIVE DEFINITE
     FIRST-ORDER DERIVATIVE PRODUCT MATRIX.  THIS MAY BE DUE TO THE STARTING
     VALUES BUT MAY ALSO BE AN INDICATION OF MODEL NONIDENTIFICATION.  THE
     CONDITION NUMBER IS      -0.245D-16.  PROBLEM INVOLVING THE FOLLOWING PARAMETER:
     Parameter 51, %BETWEEN LEVEL3%: SF2 ON Z

     THE NONIDENTIFICATION IS MOST LIKELY DUE TO HAVING MORE PARAMETERS THAN THE
     NUMBER OF LEVEL 3 CLUSTERS. REDUCE THE NUMBER OF PARAMETERS.



SAVEDATA INFORMATION

  Order of variables

    Y1
    Y2
    Y3
    Y4
    Y5
    Y6
    X1
    X2
    W
    Z
    LEVEL2
    LEVEL3

  Save file
    ex9.22.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:27:04
        Ending Time:  22:27:09
       Elapsed Time:  00:00:05



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