Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:59 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a two-level growth
  	model for a continuous outcome (three-
  	level analysis) with variation on both the
  	within and between levels for a random
  	slope of a time-varying covariate
  DATA:	FILE IS ex9.14.dat;
  VARIABLE:	NAMES ARE y1-y4 x a1-a4 w clus;
  	WITHIN = x a1-a4;
  	BETWEEN = w;
  	CLUSTER = clus;
  ANALYSIS:	TYPE = TWOLEVEL RANDOM;
  	ALGORITHM = INTEGRATION;
  	INTEGRATION = 10;
  MODEL:
  	%WITHIN%
  	iw sw | y1@0 y2@1 y3@2 y4@3;
  	y1-y4 (1);
  	iw sw ON x;
  	s* | y1 ON a1;
  	s* | y2 ON a2;
  	s* | y3 ON a3;
  	s* | y4 ON a4;
  	%BETWEEN%
  	ib sb | y1@0 y2@1 y3@2 y4@3;
  	y1-y4@0;
  	ib sb s ON w;
  OUTPUT:	TECH1 TECH8;



INPUT READING TERMINATED NORMALLY



this is an example of a two-level growth
model for a continuous outcome (three-
level analysis) with variation on both the
within and between levels for a random
slope of a time-varying covariate

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of dependent variables                                    4
Number of independent variables                                  6
Number of continuous latent variables                            5

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

Observed independent variables
   X           A1          A2          A3          A4          W

Continuous latent variables
   IW          SW          S           IB          SB

Variables with special functions

  Cluster variable      CLUS

  Within variables
   X           A1          A2          A3          A4

  Between variables
   W


Estimator                                                      MLR
Information matrix                                        OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
  Maximum number of iterations                                 100
  Convergence criterion                                  0.100D-05
Optimization Specifications for the EM Algorithm
  Maximum number of iterations                                 500
  Convergence criteria
    Loglikelihood change                                 0.100D-02
    Relative loglikelihood change                        0.100D-05
    Derivative                                           0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
  Number of M step iterations                                    1
  M step convergence criterion                           0.100D-02
  Basis for M step termination                           ITERATION
  Maximum value for logit thresholds                            15
  Minimum value for logit thresholds                           -15
  Minimum expected cell size for chi-square              0.100D-01
Optimization algorithm                                         EMA
Integration Specifications
  Type                                                    STANDARD
  Number of integration points                                  10
  Dimensions of numerical integration                            4
  Adaptive quadrature                                           ON
Cholesky                                                       OFF

Input data file(s)
  ex9.14.dat
Input data format  FREE


SUMMARY OF DATA

     Number of clusters                         90




THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       17

Loglikelihood

          H0 Value                       -3616.302
          H0 Scaling Correction Factor      0.9831
            for MLR

Information Criteria

          Akaike (AIC)                    7266.605
          Bayesian (BIC)                  7338.253
          Sample-Size Adjusted BIC        7284.294
            (n* = (n + 2) / 24)



MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

Within Level

 IW       |
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 SW       |
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 IW         ON
    X                  1.006      0.063     15.840      0.000

 SW         ON
    X                  0.262      0.045      5.831      0.000

 SW       WITH
    IW                 0.045      0.051      0.882      0.378

 Variances
    S                  0.614      0.048     12.852      0.000

 Residual Variances
    Y1                 0.509      0.031     16.191      0.000
    Y2                 0.509      0.031     16.191      0.000
    Y3                 0.509      0.031     16.191      0.000
    Y4                 0.509      0.031     16.191      0.000
    IW                 0.836      0.083     10.115      0.000
    SW                 0.560      0.050     11.165      0.000

Between Level

 IB       |
    Y1                 1.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 1.000      0.000    999.000    999.000
    Y4                 1.000      0.000    999.000    999.000

 SB       |
    Y1                 0.000      0.000    999.000    999.000
    Y2                 1.000      0.000    999.000    999.000
    Y3                 2.000      0.000    999.000    999.000
    Y4                 3.000      0.000    999.000    999.000

 IB         ON
    W                  0.527      0.100      5.289      0.000

 SB         ON
    W                  0.319      0.059      5.425      0.000

 S          ON
    W                  0.617      0.068      9.018      0.000

 SB       WITH
    IB                -0.066      0.061     -1.077      0.281

 Intercepts
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    IB                 1.088      0.088     12.337      0.000
    SB                 0.567      0.063      8.998      0.000
    S                  1.058      0.072     14.630      0.000

 Residual Variances
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.000      0.000    999.000    999.000
    Y3                 0.000      0.000    999.000    999.000
    Y4                 0.000      0.000    999.000    999.000
    IB                 0.411      0.093      4.414      0.000
    SB                 0.199      0.056      3.548      0.000
    S                  0.275      0.064      4.281      0.000


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.218E-01
       (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
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              W
              ________
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 0
 X                  0
 A1                 0
 A2                 0
 A3                 0
 A4                 0
 W                  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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 A1                 0
 A2                 0             0
 A3                 0             0             0
 A4                 0             0             0             0
 W                  0             0             0             0             0


           ALPHA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              W
              ________
 1                  0


           BETA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 S%W                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 S%W                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 IW                 1             0             0             0             0
 SW                 2             0             0             0             0
 S%W                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              W
              ________
 IW                 0
 SW                 0
 S%W                0
 IB                 0
 SB                 0
 S%B                0
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 0
 X                  0
 A1                 0
 A2                 0
 A3                 0
 A4                 0
 W                  0


           PSI
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW                 3
 SW                 4             5
 S%W                0             0             6
 IB                 0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 S%B                0
 Y1                 0             7
 Y2                 0             0             7
 Y3                 0             0             0             7
 Y4                 0             0             0             0             7
 X                  0             0             0             0             0
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 X                  0
 A1                 0             0
 A2                 0             0             0
 A3                 0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              W
              ________
 W                  0


     PARAMETER SPECIFICATION FOR BETWEEN


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


           NU
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           LAMBDA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           LAMBDA
              W
              ________
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 0
 X                  0
 A1                 0
 A2                 0
 A3                 0
 A4                 0
 W                  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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           THETA
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 A1                 0
 A2                 0             0
 A3                 0             0             0
 A4                 0             0             0             0
 W                  0             0             0             0             0


           ALPHA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 1                  0             0             0             8             9


           ALPHA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 1                 10             0             0             0             0


           ALPHA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 1                  0             0             0             0             0


           ALPHA
              W
              ________
 1                  0


           BETA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 S%W                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 S%W                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 IW                 0             0             0             0             0
 SW                 0             0             0             0             0
 S%W                0             0             0             0             0
 IB                 0             0             0             0             0
 SB                 0             0             0             0             0
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           BETA
              W
              ________
 IW                 0
 SW                 0
 S%W                0
 IB                11
 SB                12
 S%B               13
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 0
 X                  0
 A1                 0
 A2                 0
 A3                 0
 A4                 0
 W                  0


           PSI
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW                 0
 SW                 0             0
 S%W                0             0             0
 IB                 0             0             0            14
 SB                 0             0             0            15            16
 S%B                0             0             0             0             0
 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
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 S%B               17
 Y1                 0             0
 Y2                 0             0             0
 Y3                 0             0             0             0
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A1                 0             0             0             0             0
 A2                 0             0             0             0             0
 A3                 0             0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 X                  0
 A1                 0             0
 A2                 0             0             0
 A3                 0             0             0             0
 A4                 0             0             0             0             0
 W                  0             0             0             0             0


           PSI
              W
              ________
 W                  0


     STARTING VALUES FOR WITHIN


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


           NU
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 Y1             0.000         1.000         0.000         0.000         0.000
 Y2             0.000         0.000         1.000         0.000         0.000
 Y3             0.000         0.000         0.000         1.000         0.000
 Y4             0.000         0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              1.000         0.000         0.000         0.000         0.000
 A1             0.000         1.000         0.000         0.000         0.000
 A2             0.000         0.000         1.000         0.000         0.000
 A3             0.000         0.000         0.000         1.000         0.000
 A4             0.000         0.000         0.000         0.000         1.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              W
              ________
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A1             0.000
 A2             0.000
 A3             0.000
 A4             0.000
 W              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
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 A1             0.000
 A2             0.000         0.000
 A3             0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              W
              ________
 1              0.000


           BETA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 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
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              W
              ________
 IW             0.000
 SW             0.000
 S%W            0.000
 IB             0.000
 SB             0.000
 S%B            0.000
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A1             0.000
 A2             0.000
 A3             0.000
 A4             0.000
 W              0.000


           PSI
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW             0.050
 SW             0.000         0.050
 S%W            0.000         0.000         1.000
 IB             0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 S%B            0.000
 Y1             0.000         2.638
 Y2             0.000         0.000         4.036
 Y3             0.000         0.000         0.000         5.205
 Y4             0.000         0.000         0.000         0.000         8.165
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 X              0.461
 A1             0.000         0.493
 A2             0.000         0.000         0.536
 A3             0.000         0.000         0.000         0.511
 A4             0.000         0.000         0.000         0.000         0.540
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              W
              ________
 W              0.000


     STARTING VALUES FOR BETWEEN


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


           NU
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 Y1             0.000         1.000         0.000         0.000         0.000
 Y2             0.000         0.000         1.000         0.000         0.000
 Y3             0.000         0.000         0.000         1.000         0.000
 Y4             0.000         0.000         0.000         0.000         1.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              1.000         0.000         0.000         0.000         0.000
 A1             0.000         1.000         0.000         0.000         0.000
 A2             0.000         0.000         1.000         0.000         0.000
 A3             0.000         0.000         0.000         1.000         0.000
 A4             0.000         0.000         0.000         0.000         1.000
 W              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              W
              ________
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A1             0.000
 A2             0.000
 A3             0.000
 A4             0.000
 W              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
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           THETA
              A1            A2            A3            A4            W
              ________      ________      ________      ________      ________
 A1             0.000
 A2             0.000         0.000
 A3             0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           ALPHA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              W
              ________
 1              0.000


           BETA
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         1.000         0.000
 Y2             0.000         0.000         0.000         1.000         1.000
 Y3             0.000         0.000         0.000         1.000         2.000
 Y4             0.000         0.000         0.000         1.000         3.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 IW             0.000         0.000         0.000         0.000         0.000
 SW             0.000         0.000         0.000         0.000         0.000
 S%W            0.000         0.000         0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.000         0.000
 SB             0.000         0.000         0.000         0.000         0.000
 S%B            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           BETA
              W
              ________
 IW             0.000
 SW             0.000
 S%W            0.000
 IB             0.000
 SB             0.000
 S%B            0.000
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A1             0.000
 A2             0.000
 A3             0.000
 A4             0.000
 W              0.000


           PSI
              IW            SW            S%W           IB            SB
              ________      ________      ________      ________      ________
 IW             0.000
 SW             0.000         0.000
 S%W            0.000         0.000         0.000
 IB             0.000         0.000         0.000         0.050
 SB             0.000         0.000         0.000         0.000         0.050
 S%B            0.000         0.000         0.000         0.000         0.000
 Y1             0.000         0.000         0.000         0.000         0.000
 Y2             0.000         0.000         0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              S%B           Y1            Y2            Y3            Y4
              ________      ________      ________      ________      ________
 S%B            1.000
 Y1             0.000         0.000
 Y2             0.000         0.000         0.000
 Y3             0.000         0.000         0.000         0.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A1             0.000         0.000         0.000         0.000         0.000
 A2             0.000         0.000         0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              X             A1            A2            A3            A4
              ________      ________      ________      ________      ________
 X              0.000
 A1             0.000         0.000
 A2             0.000         0.000         0.000
 A3             0.000         0.000         0.000         0.000
 A4             0.000         0.000         0.000         0.000         0.000
 W              0.000         0.000         0.000         0.000         0.000


           PSI
              W
              ________
 W              0.478


TECHNICAL 8 OUTPUT


   E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
              1 -0.50157733D+04    0.0000000    0.0000000  EM
              2 -0.39023182D+04 1113.4551631    0.2219907  EM
              3 -0.37225826D+04  179.7355836    0.0460587  EM
              4 -0.36731856D+04   49.3969876    0.0132695  EM
              5 -0.36536065D+04   19.5790913    0.0053303  EM
              6 -0.36425589D+04   11.0475897    0.0030237  EM
              7 -0.36351657D+04    7.3932688    0.0020297  EM
              8 -0.36299240D+04    5.2416756    0.0014419  EM
              9 -0.36261639D+04    3.7600446    0.0010358  EM
             10 -0.36234520D+04    2.7119919    0.0007479  EM
             11 -0.36214628D+04    1.9891611    0.0005490  EM
             12 -0.36199692D+04    1.4936004    0.0004124  EM
             13 -0.36188344D+04    1.1348133    0.0003135  EM
             14 -0.36179838D+04    0.8505718    0.0002350  EM
             15 -0.36173703D+04    0.6135457    0.0001696  EM
             16 -0.36169507D+04    0.4195892    0.0001160  EM
             17 -0.36166798D+04    0.2708686    0.0000749  EM
             18 -0.36165142D+04    0.1655898    0.0000458  EM
             19 -0.36164177D+04    0.0965534    0.0000267  EM
             20 -0.36163635D+04    0.0541520    0.0000150  EM
             21 -0.36163341D+04    0.0294546    0.0000081  EM
             22 -0.36163184D+04    0.0156495    0.0000043  EM
             23 -0.36163102D+04    0.0081660    0.0000023  EM
             24 -0.36163060D+04    0.0042026    0.0000012  EM
             25 -0.36163039D+04    0.0021387    0.0000006  EM
             26 -0.36163028D+04    0.0010776    0.0000003  EM
             27 -0.36163023D+04    0.0005380    0.0000001  EM


     Beginning Time:  17:59:40
        Ending Time:  18:00:43
       Elapsed Time:  00:01:03



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