Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:08 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a three-level growth model with
  	continuous factor indicators and one covariate on each of
      the three levels

  montecarlo:
      names are y1-y4 x w z;
      nobservations = 7500;
      nreps = 1;
      CSIZES = 50[30(5)];
      ncsize = 1[1];	
      save = ex9.23.dat;
  	WITHIN = x;
  	BETWEEN = (level2) w (level3) z;

  ANALYSIS:	TYPE = THREELEVEL;

  MODEL POPULATION:

  	%WITHIN%
  	x@1;
  	iw sw | y1@0 y2@1 y3@2 y4@3;
      iw ON x*1;
      sw on x*.5;
      iw*1 sw*.2;
      iw with sw*0;
      y1-y4*1;

  	%BETWEEN Level2%
  	w@1;
  	ib2 sb2 | y1@0 y2@1 y3@2 y4@3;
      ib2 on w*.4;
      sb2 on w*.2;
      ib2*.5 sb2*.2;
      ib2 with sb2*0;
      y1-y4*.5;

      %Between Level3%
      z@1;
      ib3 sb3 | y1@0 y2@1 y3@2 y4@3;
      ib3 on z*.5;
      sb3 on z*.3;
      ib3*.5 sb3*.2;
      ib3 with sb3*0;
      y1-y4@0;
      [ib3*.5 sb3*.3];
      [y1-y4@0];

  MODEL:
  	%WITHIN%
  !	x@1;
  	iw sw | y1@0 y2@1 y3@2 y4@3;
      iw ON x*1;
      sw on x*.5;
      iw*1 sw*.2;
      iw with sw*0;
      y1-y4*1;

  	%BETWEEN Level2%
  !	w@1;
  	ib2 sb2 | y1@0 y2@1 y3@2 y4@3;
      ib2 on w*.4;
      sb2 on w*.2;
      ib2*.5 sb2*.2;
      ib2 with sb2*0;
      y1-y4*.5;

      %Between Level3%
  !   z@1;
      ib3 sb3 | y1@0 y2@1 y3@2 y4@3;
      ib3 on z*.5;
      sb3 on z*.3;
      ib3*.5 sb3*.2;
      ib3 with sb3*0;
      y1-y4@0;
      [ib3*.5 sb3*.3];
      [y1-y4@0];

  output:
  	tech8 tech9;



INPUT READING TERMINATED NORMALLY



this is an example of a three-level growth model with
continuous factor indicators and one covariate on each of
the three levels

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                                    4
Number of independent variables                                  3
Number of continuous latent variables                            6

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

Observed independent variables
   X           W           Z

Continuous latent variables
   IW          SW          IB2         SB2         IB3         SB3

Variables with special functions

  Within variables
   X

  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


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.




MODEL FIT INFORMATION

Number of Free Parameters                       25

Loglikelihood

    H0 Value

        Mean                            -56044.768
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       -56044.768     -56044.768
           0.980       0.000       -56044.768     -56044.768
           0.950       0.000       -56044.768     -56044.768
           0.900       0.000       -56044.768     -56044.768
           0.800       0.000       -56044.768     -56044.768
           0.700       0.000       -56044.768     -56044.768
           0.500       0.000       -56044.768     -56044.768
           0.300       0.000       -56044.768     -56044.768
           0.200       0.000       -56044.768     -56044.768
           0.100       0.000       -56044.768     -56044.768
           0.050       0.000       -56044.768     -56044.768
           0.020       0.000       -56044.768     -56044.768
           0.010       0.000       -56044.768     -56044.768

Information Criteria

    Akaike (AIC)

        Mean                            112139.537
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       112139.537     112139.537
           0.980       0.000       112139.537     112139.537
           0.950       0.000       112139.537     112139.537
           0.900       0.000       112139.537     112139.537
           0.800       0.000       112139.537     112139.537
           0.700       0.000       112139.537     112139.537
           0.500       0.000       112139.537     112139.537
           0.300       0.000       112139.537     112139.537
           0.200       0.000       112139.537     112139.537
           0.100       0.000       112139.537     112139.537
           0.050       0.000       112139.537     112139.537
           0.020       0.000       112139.537     112139.537
           0.010       0.000       112139.537     112139.537

    Bayesian (BIC)

        Mean                            112312.603
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       112312.603     112312.603
           0.980       0.000       112312.603     112312.603
           0.950       0.000       112312.603     112312.603
           0.900       0.000       112312.603     112312.603
           0.800       0.000       112312.603     112312.603
           0.700       0.000       112312.603     112312.603
           0.500       0.000       112312.603     112312.603
           0.300       0.000       112312.603     112312.603
           0.200       0.000       112312.603     112312.603
           0.100       0.000       112312.603     112312.603
           0.050       0.000       112312.603     112312.603
           0.020       0.000       112312.603     112312.603
           0.010       0.000       112312.603     112312.603

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

        Mean                            112233.159
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000       112233.159     112233.159
           0.980       0.000       112233.159     112233.159
           0.950       0.000       112233.159     112233.159
           0.900       0.000       112233.159     112233.159
           0.800       0.000       112233.159     112233.159
           0.700       0.000       112233.159     112233.159
           0.500       0.000       112233.159     112233.159
           0.300       0.000       112233.159     112233.159
           0.200       0.000       112233.159     112233.159
           0.100       0.000       112233.159     112233.159
           0.050       0.000       112233.159     112233.159
           0.020       0.000       112233.159     112233.159
           0.010       0.000       112233.159     112233.159

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations        1

             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



MODEL RESULTS

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

 IW       |
  Y1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SW       |
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IW         ON
  X                1.000     0.9863     0.0000     0.0176     0.0002 1.000 1.000

 SW         ON
  X                0.500     0.5013     0.0000     0.0090     0.0000 1.000 1.000

 IW       WITH
  SW               0.000    -0.0111     0.0000     0.0123     0.0001 1.000 0.000

 Residual Variances
  Y1               1.000     0.9811     0.0000     0.0367     0.0004 1.000 1.000
  Y2               1.000     1.0107     0.0000     0.0262     0.0001 1.000 1.000
  Y3               1.000     1.0072     0.0000     0.0226     0.0001 1.000 1.000
  Y4               1.000     0.9587     0.0000     0.0384     0.0017 1.000 1.000
  IW               1.000     1.0446     0.0000     0.0329     0.0020 1.000 1.000
  SW               0.200     0.2120     0.0000     0.0099     0.0001 1.000 1.000

Between LEVEL2 Level

 IB2      |
  Y1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SB2      |
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IB2        ON
  W                0.400     0.3934     0.0000     0.0316     0.0000 1.000 1.000

 SB2        ON
  W                0.200     0.1928     0.0000     0.0153     0.0001 1.000 1.000

 IB2      WITH
  SB2              0.000     0.0061     0.0000     0.0198     0.0000 1.000 0.000

 Intercepts
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  IB2              0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  SB2              0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Residual Variances
  Y1               0.500     0.5329     0.0000     0.0514     0.0011 1.000 1.000
  Y2               0.500     0.4928     0.0000     0.0320     0.0001 1.000 1.000
  Y3               0.500     0.4679     0.0000     0.0374     0.0010 1.000 1.000
  Y4               0.500     0.5114     0.0000     0.0727     0.0001 1.000 1.000
  IB2              0.500     0.4400     0.0000     0.0493     0.0036 1.000 1.000
  SB2              0.200     0.2006     0.0000     0.0125     0.0000 1.000 1.000

Between LEVEL3 Level

 IB3      |
  Y1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 SB3      |
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 IB3        ON
  Z                0.500     0.5059     0.0000     0.1027     0.0000 1.000 1.000

 SB3        ON
  Z                0.300     0.2865     0.0000     0.0650     0.0002 1.000 1.000

 IB3      WITH
  SB3              0.000     0.0172     0.0000     0.0515     0.0003 1.000 0.000

 Intercepts
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  IB3              0.500     0.4433     0.0000     0.1102     0.0032 1.000 1.000
  SB3              0.300     0.3684     0.0000     0.0644     0.0047 1.000 1.000

 Residual Variances
  Y1               0.000     0.0001     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0001     0.0000     0.0000     0.0000 1.000 0.000
  Y3               0.000     0.0001     0.0000     0.0000     0.0000 1.000 0.000
  Y4               0.000     0.0001     0.0000     0.0000     0.0000 1.000 0.000
  IB3              0.500     0.5682     0.0000     0.1105     0.0046 1.000 1.000
  SB3              0.200     0.1948     0.0000     0.0366     0.0000 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.577E-04
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              W             Z
              ________      ________
 1                  0             0


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                 0             0             0             0
 Y3                 0             0             0             0
 Y4                 0             0             0             0
 X                  0             0             0             0
 W                  0             0             0             0
 Z                  0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           THETA
              W             Z
              ________      ________
 W                  0
 Z                  0             0


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1                  0             0             0             0


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 IB2                0             0             0             0             0
 SB2                0             0             0             0             0
 IB3                0             0             0             0             0
 SB3                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW                 0             5             0             0
 SW                 0             6             0             0
 IB2                0             0             0             0
 SB2                0             0             0             0
 IB3                0             0             0             0
 SB3                0             0             0             0
 X                  0             0             0             0
 W                  0             0             0             0
 Z                  0             0             0             0


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW                 7
 SW                 8             9
 IB2                0             0             0
 SB2                0             0             0             0
 IB3                0             0             0             0             0
 SB3                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3                0
 X                  0             0
 W                  0             0             0
 Z                  0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              W             Z
              ________      ________
 1                  0             0


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                 0             0             0             0
 Y3                 0             0             0             0
 Y4                 0             0             0             0
 X                  0             0             0             0
 W                  0             0             0             0
 Z                  0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                10
 Y2                 0            11
 Y3                 0             0            12
 Y4                 0             0             0            13
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           THETA
              W             Z
              ________      ________
 W                  0
 Z                  0             0


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1                  0             0             0             0


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 IB2                0             0             0             0             0
 SB2                0             0             0             0             0
 IB3                0             0             0             0             0
 SB3                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW                 0             0             0             0
 SW                 0             0             0             0
 IB2                0             0            14             0
 SB2                0             0            15             0
 IB3                0             0             0             0
 SB3                0             0             0             0
 X                  0             0             0             0
 W                  0             0             0             0
 Z                  0             0             0             0


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW                 0
 SW                 0             0
 IB2                0             0            16
 SB2                0             0            17            18
 IB3                0             0             0             0             0
 SB3                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3                0
 X                  0             0
 W                  0             0             0
 Z                  0             0             0             0


     PARAMETER SPECIFICATION FOR BETWEEN LEVEL3


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           NU
              W             Z
              ________      ________
 1                  0             0


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1                 0             0             0             0             0
 Y2                 0             0             0             0             0
 Y3                 0             0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1                 0             0             0             0
 Y2                 0             0             0             0
 Y3                 0             0             0             0
 Y4                 0             0             0             0
 X                  0             0             0             0
 W                  0             0             0             0
 Z                  0             0             0             0


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1                 0
 Y2                 0             0
 Y3                 0             0             0
 Y4                 0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           THETA
              W             Z
              ________      ________
 W                  0
 Z                  0             0


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1                  0             0             0             0            19


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1                 20             0             0             0


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 IB2                0             0             0             0             0
 SB2                0             0             0             0             0
 IB3                0             0             0             0             0
 SB3                0             0             0             0             0
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW                 0             0             0             0
 SW                 0             0             0             0
 IB2                0             0             0             0
 SB2                0             0             0             0
 IB3                0             0             0            21
 SB3                0             0             0            22
 X                  0             0             0             0
 W                  0             0             0             0
 Z                  0             0             0             0


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW                 0
 SW                 0             0
 IB2                0             0             0
 SB2                0             0             0             0
 IB3                0             0             0             0            23
 SB3                0             0             0             0            24
 X                  0             0             0             0             0
 W                  0             0             0             0             0
 Z                  0             0             0             0             0


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3               25
 X                  0             0
 W                  0             0             0
 Z                  0             0             0             0


     STARTING VALUES FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W             Z
              ________      ________
 1              0.000         0.000


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         1.000         0.000         0.000         0.000
 Y3             1.000         2.000         0.000         0.000         0.000
 Y4             1.000         3.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000
 W              0.000         0.000         1.000         0.000
 Z              0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.000         1.000
 Y3             0.000         0.000         1.000
 Y4             0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              W             Z
              ________      ________
 W              0.000
 Z              0.000         0.000


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW             0.000         1.000         0.000         0.000
 SW             0.000         0.500         0.000         0.000
 IB2            0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             1.000
 SW             0.000         0.200
 IB2            0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3            0.000
 X              0.000         0.500
 W              0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN LEVEL2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W             Z
              ________      ________
 1              0.000         0.000


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         1.000         0.000         0.000
 Y2             0.000         0.000         1.000         1.000         0.000
 Y3             0.000         0.000         1.000         2.000         0.000
 Y4             0.000         0.000         1.000         3.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000
 W              0.000         0.000         1.000         0.000
 Z              0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              W             Z
              ________      ________
 W              0.000
 Z              0.000         0.000


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.400         0.000
 SB2            0.000         0.000         0.200         0.000
 IB3            0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 IB2            0.000         0.000         0.500
 SB2            0.000         0.000         0.000         0.200
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3            0.000
 X              0.000         0.000
 W              0.000         0.000         0.500
 Z              0.000         0.000         0.000         0.000


     STARTING VALUES FOR BETWEEN LEVEL3


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W             Z
              ________      ________
 1              0.000         0.000


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         1.000
 Y2             0.000         0.000         0.000         0.000         1.000
 Y3             0.000         0.000         0.000         0.000         1.000
 Y4             0.000         0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000
 Y3             2.000         0.000         0.000         0.000
 Y4             3.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000
 W              0.000         0.000         1.000         0.000
 Z              0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              W             Z
              ________      ________
 W              0.000
 Z              0.000         0.000


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.500


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1              0.300         0.000         0.000         0.000


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.500
 SB3            0.000         0.000         0.000         0.300
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 IB2            0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.500
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3            0.200
 X              0.000         0.000
 W              0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.500


     POPULATION VALUES FOR WITHIN


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W             Z
              ________      ________
 1              0.000         0.000


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         1.000         0.000         0.000         0.000
 Y3             1.000         2.000         0.000         0.000         0.000
 Y4             1.000         3.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000
 W              0.000         0.000         1.000         0.000
 Z              0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.000         1.000
 Y3             0.000         0.000         1.000
 Y4             0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              W             Z
              ________      ________
 W              0.000
 Z              0.000         0.000


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW             0.000         1.000         0.000         0.000
 SW             0.000         0.500         0.000         0.000
 IB2            0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             1.000
 SW             0.000         0.200
 IB2            0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3            0.000
 X              0.000         1.000
 W              0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


     POPULATION VALUES FOR BETWEEN LEVEL2


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W             Z
              ________      ________
 1              0.000         0.000


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         1.000         0.000         0.000
 Y2             0.000         0.000         1.000         1.000         0.000
 Y3             0.000         0.000         1.000         2.000         0.000
 Y4             0.000         0.000         1.000         3.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000
 W              0.000         0.000         1.000         0.000
 Z              0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              W             Z
              ________      ________
 W              0.000
 Z              0.000         0.000


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.400         0.000
 SB2            0.000         0.000         0.200         0.000
 IB3            0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 IB2            0.000         0.000         0.500
 SB2            0.000         0.000         0.000         0.200
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3            0.000
 X              0.000         0.000
 W              0.000         0.000         1.000
 Z              0.000         0.000         0.000         0.000


     POPULATION VALUES FOR BETWEEN LEVEL3


           NU
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              W             Z
              ________      ________
 1              0.000         0.000


           LAMBDA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         1.000
 Y2             0.000         0.000         0.000         0.000         1.000
 Y3             0.000         0.000         0.000         0.000         1.000
 Y4             0.000         0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              SB3           X             W             Z
              ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000
 Y2             1.000         0.000         0.000         0.000
 Y3             2.000         0.000         0.000         0.000
 Y4             3.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000
 W              0.000         0.000         1.000         0.000
 Z              0.000         0.000         0.000         1.000


           THETA
              Y1            Y2            Y3            Y4            X
              ________      ________      ________      ________      ________
 Y1             0.000
 Y2             0.000         0.000
 Y3             0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              W             Z
              ________      ________
 W              0.000
 Z              0.000         0.000


           ALPHA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.500


           ALPHA
              SB3           X             W             Z
              ________      ________      ________      ________
 1              0.300         0.000         0.000         0.000


           BETA
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.000
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              SB3           X             W             Z
              ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000
 IB2            0.000         0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.500
 SB3            0.000         0.000         0.000         0.300
 X              0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000


           PSI
              IW            SW            IB2           SB2           IB3
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 IB2            0.000         0.000         0.000
 SB2            0.000         0.000         0.000         0.000
 IB3            0.000         0.000         0.000         0.000         0.500
 SB3            0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           PSI
              SB3           X             W             Z
              ________      ________      ________      ________
 SB3            0.200
 X              0.000         0.000
 W              0.000         0.000         0.000
 Z              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 -0.56049190D+05    0.0000000    0.0000000  EM
              2 -0.56045269D+05    3.9211506    0.0000700  EM
              3 -0.56044894D+05    0.3748219    0.0000067  EM
              4 -0.56044804D+05    0.0902485    0.0000016  EM
              5 -0.56044778D+05    0.0253280    0.0000005  EM
              6 -0.56044771D+05    0.0073117    0.0000001  EM
              7 -0.56044769D+05    0.0021363    0.0000000  EM
              8 -0.56044768D+05    0.0006292    0.0000000  EM


   TECHNICAL 8 OUTPUT FOR THE H1 MODEL FOR REPLICATION 1


   TECHNICAL 8 OUTPUT FOR THE BASELINE MODEL


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.71655146D+05    0.0000000    0.0000000  EM
              2 -0.71654179D+05    0.9676400    0.0000135  EM
              3 -0.71653808D+05    0.3710722    0.0000052  EM
              4 -0.71653657D+05    0.1504955    0.0000021  EM
              5 -0.71653595D+05    0.0621632    0.0000009  EM
              6 -0.71653569D+05    0.0259839    0.0000004  EM
              7 -0.71653558D+05    0.0109497    0.0000002  EM
              8 -0.71653553D+05    0.0046402    0.0000001  EM
              9 -0.71653551D+05    0.0019742    0.0000000  EM
             10 -0.71653551D+05    0.0008423    0.0000000  EM


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)

     REPLICATION 1:

     THE H1 MODEL ESTIMATION DID NOT CONVERGE.  CHI-SQUARE TEST AND SAMPLE STATISTICS COULD NOT
     BE COMPUTED.



SAVEDATA INFORMATION

  Order of variables

    Y1
    Y2
    Y3
    Y4
    X
    W
    Z
    LEVEL2
    LEVEL3

  Save file
    ex9.23.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:08:46
        Ending Time:  22:08:47
       Elapsed Time:  00:00:01



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