Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:40 PM

INPUT INSTRUCTIONS

  TITLE:	this is an example of a multiple group
  	multiple cohort growth model
  DATA: FILE = ex6.18.dat;
  VARIABLE:	NAMES = y1-y4 x a21-a24 g;
  	GROUPING = g (1=1990 2=1989 3=1988);
  MODEL:	i s |y1@0 y2@.2 y3@.4 y4@.6;
  	[i] (1); [s] (2);
  	i (3); s (4);
  	i WITH s (5);
  	i ON x (6);
  	s ON x (7);
  	y1 ON a21;
  	y2 ON a22 (12);
  	y3 ON a23 (14);
  	y4 ON a24 (16);
  	y2-y4 (22-24);	
  MODEL 1989:	
  	i s |y1@.1 y2@.3 y3@.5 y4@.7;
  	y1 ON a21;
  	y2 ON a22;
  	y3 ON a23;
  	y4 ON a24;
  	y1-y4;
  MODEL 1988:
  	i s |y1@.2 y2@.4 y3@.6 y4@.8;
  	y1 ON a21 (12);
  	y2 ON a22 (14);
  	y3 ON a23 (16);
  	y4 ON a24;
  	y1-y3 (22-24);
  	y4;
  OUTPUT: TECH1 MODINDICES(3.84);




INPUT READING TERMINATED NORMALLY



this is an example of a multiple group
multiple cohort growth model

SUMMARY OF ANALYSIS

Number of groups                                                 3
Number of observations
   Group 1990                                                  500
   Group 1989                                                  500
   Group 1988                                                  500
   Total sample size                                          1500

Number of dependent variables                                    4
Number of independent variables                                  5
Number of continuous latent variables                            2

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4

Observed independent variables
   X           A21         A22         A23         A24

Continuous latent variables
   I           S

Variables with special functions

  Grouping variable     G

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

Input data file(s)
  ex6.18.dat

Input data format  FREE



THE MODEL ESTIMATION TERMINATED NORMALLY



MODEL FIT INFORMATION

Number of Free Parameters                       25

Loglikelihood

          H0 Value                       -8179.476
          H1 Value                       -8141.152

Information Criteria

          Akaike (AIC)                   16408.953
          Bayesian (BIC)                 16541.783
          Sample-Size Adjusted BIC       16462.365
            (n* = (n + 2) / 24)

Chi-Square Test of Model Fit

          Value                             76.650
          Degrees of Freedom                    77
          P-Value                           0.4898

Chi-Square Contribution From Each Group

          1990                              34.248
          1989                              14.620
          1988                              27.782

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.000
          90 Percent C.I.                    0.000  0.025
          Probability RMSEA <= .05           1.000

CFI/TLI

          CFI                                1.000
          TLI                                1.000

Chi-Square Test of Model Fit for the Baseline Model

          Value                           7411.329
          Degrees of Freedom                    78
          P-Value                           0.0000

SRMR (Standardized Root Mean Square Residual)

          Value                              0.018



MODEL RESULTS

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

Group 1990

 I        |
    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

 S        |
    Y1                 0.000      0.000    999.000    999.000
    Y2                 0.200      0.000    999.000    999.000
    Y3                 0.400      0.000    999.000    999.000
    Y4                 0.600      0.000    999.000    999.000

 I        ON
    X                  1.021      0.031     32.541      0.000

 S        ON
    X                  0.294      0.042      6.988      0.000

 Y1       ON
    A21                0.489      0.034     14.361      0.000

 Y2       ON
    A22                0.373      0.026     14.598      0.000

 Y3       ON
    A23                0.280      0.024     11.735      0.000

 Y4       ON
    A24                0.220      0.025      8.816      0.000

 I        WITH
    S                  0.065      0.068      0.962      0.336

 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
    I                  0.509      0.031     16.227      0.000
    S                  0.982      0.042     23.327      0.000

 Residual Variances
    Y1                 0.428      0.042     10.099      0.000
    Y2                 0.520      0.031     16.797      0.000
    Y3                 0.462      0.027     16.960      0.000
    Y4                 0.483      0.030     15.902      0.000
    I                  0.988      0.057     17.283      0.000
    S                  0.384      0.134      2.859      0.004

Group 1989

 I        |
    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

 S        |
    Y1                 0.100      0.000    999.000    999.000
    Y2                 0.300      0.000    999.000    999.000
    Y3                 0.500      0.000    999.000    999.000
    Y4                 0.700      0.000    999.000    999.000

 I        ON
    X                  1.021      0.031     32.541      0.000

 S        ON
    X                  0.294      0.042      6.988      0.000

 Y1       ON
    A21                0.479      0.034     13.915      0.000

 Y2       ON
    A22                0.458      0.037     12.468      0.000

 Y3       ON
    A23                0.399      0.035     11.323      0.000

 Y4       ON
    A24                0.264      0.040      6.581      0.000

 I        WITH
    S                  0.065      0.068      0.962      0.336

 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
    I                  0.509      0.031     16.227      0.000
    S                  0.982      0.042     23.327      0.000

 Residual Variances
    Y1                 0.439      0.044      9.981      0.000
    Y2                 0.625      0.049     12.805      0.000
    Y3                 0.532      0.045     11.912      0.000
    Y4                 0.511      0.051     10.101      0.000
    I                  0.988      0.057     17.283      0.000
    S                  0.384      0.134      2.859      0.004

Group 1988

 I        |
    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

 S        |
    Y1                 0.200      0.000    999.000    999.000
    Y2                 0.400      0.000    999.000    999.000
    Y3                 0.600      0.000    999.000    999.000
    Y4                 0.800      0.000    999.000    999.000

 I        ON
    X                  1.021      0.031     32.541      0.000

 S        ON
    X                  0.294      0.042      6.988      0.000

 Y1       ON
    A21                0.373      0.026     14.598      0.000

 Y2       ON
    A22                0.280      0.024     11.735      0.000

 Y3       ON
    A23                0.220      0.025      8.816      0.000

 Y4       ON
    A24                0.244      0.034      7.196      0.000

 I        WITH
    S                  0.065      0.068      0.962      0.336

 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
    I                  0.509      0.031     16.227      0.000
    S                  0.982      0.042     23.327      0.000

 Residual Variances
    Y1                 0.520      0.031     16.797      0.000
    Y2                 0.462      0.027     16.960      0.000
    Y3                 0.483      0.030     15.902      0.000
    Y4                 0.380      0.042      8.957      0.000
    I                  0.988      0.057     17.283      0.000
    S                  0.384      0.134      2.859      0.004


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.251E-01
       (ratio of smallest to largest eigenvalue)


MODEL MODIFICATION INDICES

NOTE:  Modification indices for direct effects of observed dependent variables
regressed on covariates may not be included.  To include these, request
MODINDICES (ALL).

Minimum M.I. value for printing the modification index     3.840

                                   M.I.     E.P.C.  Std E.P.C.  StdYX E.P.C.
Group 1990


ON/BY Statements

Y1       ON I        /
I        BY Y1                     4.229     0.057      0.081        0.049
S        ON I        /
I        BY S                      4.358    -0.116     -0.241       -0.241

ON Statements

S        ON Y2                     7.326    -0.120     -0.175       -0.291
S        ON Y3                     6.085    -0.100     -0.146       -0.248
S        ON Y4                     4.378    -0.078     -0.114       -0.202
S        ON X                      4.683    -0.126     -0.184       -0.181
S        ON A23                    6.163    -0.173     -0.252       -0.256
Y1       ON Y1                     4.229     0.057      0.057        0.057
Y1       ON Y2                     3.960     0.045      0.045        0.045
Y1       ON Y4                     5.815     0.046      0.046        0.049
Y4       ON Y2                     4.420    -0.047     -0.047       -0.044
Y4       ON A23                    5.343    -0.087     -0.087       -0.050

WITH Statements

Y1       WITH S                    4.647     0.175      0.282        0.431
Y4       WITH Y1                   4.667     0.077      0.077        0.169
Y4       WITH Y2                   6.624    -0.082     -0.082       -0.164
X        WITH S                    5.971    -0.196     -0.317       -0.321
A21      WITH Y1                   4.118    -0.606     -0.606       -0.908
A23      WITH S                    6.086    -0.177     -0.285       -0.281
A23      WITH Y4                   5.000    -0.087     -0.087       -0.123

Variances/Residual Variances

Y3                                 4.149    -0.057     -0.057       -0.020

Group 1989


ON Statements

Y4       ON Y1                     3.912     0.047      0.047        0.043

WITH Statements

Y3       WITH Y1                   4.168    -0.072     -0.072       -0.149

Group 1988


ON/BY Statements

Y2       ON I        /
I        BY Y2                     4.364     0.050      0.072        0.041

ON Statements

Y2       ON Y2                     5.672     0.043      0.043        0.043
Y4       ON A22                    4.722    -0.074     -0.074       -0.041

WITH Statements

Y1       WITH I                    4.254    -0.093     -0.094       -0.130
Y2       WITH I                    5.036     0.089      0.090        0.132
A22      WITH Y4                   4.832    -0.080     -0.080       -0.126

Variances/Residual Variances

Y2                                 4.149     0.054      0.054        0.018



TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION FOR 1990


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


           NU
              A21           A22           A23           A24
              ________      ________      ________      ________
      1           0             0             0             0


           LAMBDA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           LAMBDA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           LAMBDA
              A24
              ________
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 0
 X                  0
 A21                0
 A22                0
 A23                0
 A24                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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           THETA
              A21           A22           A23           A24
              ________      ________      ________      ________
 A21                0
 A22                0             0
 A23                0             0             0
 A24                0             0             0             0


           ALPHA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
      1           1             2             0             0             0


           ALPHA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           ALPHA
              A24
              ________
      1           0


           BETA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I                  0             0             0             0             0
 S                  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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           BETA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 I                  0             3             0             0             0
 S                  0             4             0             0             0
 Y1                 0             0             5             0             0
 Y2                 0             0             0             6             0
 Y3                 0             0             0             0             7
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           BETA
              A24
              ________
 I                  0
 S                  0
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 8
 X                  0
 A21                0
 A22                0
 A23                0
 A24                0


           PSI
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I                  9
 S                 10            11
 Y1                 0             0            12
 Y2                 0             0             0            13
 Y3                 0             0             0             0            14
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           PSI
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 Y4                15
 X                  0             0
 A21                0             0             0
 A22                0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           PSI
              A24
              ________
 A24                0


     PARAMETER SPECIFICATION FOR 1989


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


           NU
              A21           A22           A23           A24
              ________      ________      ________      ________
      1           0             0             0             0


           LAMBDA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           LAMBDA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           LAMBDA
              A24
              ________
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 0
 X                  0
 A21                0
 A22                0
 A23                0
 A24                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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           THETA
              A21           A22           A23           A24
              ________      ________      ________      ________
 A21                0
 A22                0             0
 A23                0             0             0
 A24                0             0             0             0


           ALPHA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
      1           1             2             0             0             0


           ALPHA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           ALPHA
              A24
              ________
      1           0


           BETA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I                  0             0             0             0             0
 S                  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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           BETA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 I                  0             3             0             0             0
 S                  0             4             0             0             0
 Y1                 0             0            16             0             0
 Y2                 0             0             0            17             0
 Y3                 0             0             0             0            18
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           BETA
              A24
              ________
 I                  0
 S                  0
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                19
 X                  0
 A21                0
 A22                0
 A23                0
 A24                0


           PSI
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I                  9
 S                 10            11
 Y1                 0             0            20
 Y2                 0             0             0            21
 Y3                 0             0             0             0            22
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           PSI
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 Y4                23
 X                  0             0
 A21                0             0             0
 A22                0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           PSI
              A24
              ________
 A24                0


     PARAMETER SPECIFICATION FOR 1988


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


           NU
              A21           A22           A23           A24
              ________      ________      ________      ________
      1           0             0             0             0


           LAMBDA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           LAMBDA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           LAMBDA
              A24
              ________
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                 0
 X                  0
 A21                0
 A22                0
 A23                0
 A24                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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           THETA
              A21           A22           A23           A24
              ________      ________      ________      ________
 A21                0
 A22                0             0
 A23                0             0             0
 A24                0             0             0             0


           ALPHA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
      1           1             2             0             0             0


           ALPHA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           ALPHA
              A24
              ________
      1           0


           BETA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I                  0             0             0             0             0
 S                  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
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           BETA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 I                  0             3             0             0             0
 S                  0             4             0             0             0
 Y1                 0             0             6             0             0
 Y2                 0             0             0             7             0
 Y3                 0             0             0             0             8
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           BETA
              A24
              ________
 I                  0
 S                  0
 Y1                 0
 Y2                 0
 Y3                 0
 Y4                24
 X                  0
 A21                0
 A22                0
 A23                0
 A24                0


           PSI
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I                  9
 S                 10            11
 Y1                 0             0            13
 Y2                 0             0             0            14
 Y3                 0             0             0             0            15
 Y4                 0             0             0             0             0
 X                  0             0             0             0             0
 A21                0             0             0             0             0
 A22                0             0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           PSI
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 Y4                25
 X                  0             0
 A21                0             0             0
 A22                0             0             0             0
 A23                0             0             0             0             0
 A24                0             0             0             0             0


           PSI
              A24
              ________
 A24                0


     STARTING VALUES FOR 1990


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


           NU
              A21           A22           A23           A24
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         1.000         0.000         0.000
 Y2             0.000         0.000         0.000         1.000         0.000
 Y3             0.000         0.000         0.000         0.000         1.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 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             1.000         0.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000         0.000
 A21            0.000         0.000         1.000         0.000         0.000
 A22            0.000         0.000         0.000         1.000         0.000
 A23            0.000         0.000         0.000         0.000         1.000
 A24            0.000         0.000         0.000         0.000         0.000


           LAMBDA
              A24
              ________
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A21            0.000
 A22            0.000
 A23            0.000
 A24            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
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           THETA
              A21           A22           A23           A24
              ________      ________      ________      ________
 A21            0.000
 A22            0.000         0.000
 A23            0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000


           ALPHA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
      1         0.000        -0.035         0.024         0.090         0.013


           ALPHA
              A24
              ________
      1         0.030


           BETA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 Y1             1.000         0.000         0.000         0.000         0.000
 Y2             1.000         0.200         0.000         0.000         0.000
 Y3             1.000         0.400         0.000         0.000         0.000
 Y4             1.000         0.600         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           BETA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              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
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           BETA
              A24
              ________
 I              0.000
 S              0.000
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A21            0.000
 A22            0.000
 A23            0.000
 A24            0.000


           PSI
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I              2.524
 S              0.000         3.202
 Y1             0.000         0.000         1.410
 Y2             0.000         0.000         0.000         1.363
 Y3             0.000         0.000         0.000         0.000         1.347
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           PSI
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 Y4             1.516
 X              0.000         0.974
 A21            0.000         0.072         1.041
 A22            0.000        -0.087         0.089         1.042
 A23            0.000        -0.018        -0.038        -0.002         1.032
 A24            0.000         0.030         0.016        -0.007         0.027


           PSI
              A24
              ________
 A24            1.063


     STARTING VALUES FOR 1989


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


           NU
              A21           A22           A23           A24
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         1.000         0.000         0.000
 Y2             0.000         0.000         0.000         1.000         0.000
 Y3             0.000         0.000         0.000         0.000         1.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 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             1.000         0.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000         0.000
 A21            0.000         0.000         1.000         0.000         0.000
 A22            0.000         0.000         0.000         1.000         0.000
 A23            0.000         0.000         0.000         0.000         1.000
 A24            0.000         0.000         0.000         0.000         0.000


           LAMBDA
              A24
              ________
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A21            0.000
 A22            0.000
 A23            0.000
 A24            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
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           THETA
              A21           A22           A23           A24
              ________      ________      ________      ________
 A21            0.000
 A22            0.000         0.000
 A23            0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000


           ALPHA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
      1         0.000        -0.010         0.024        -0.033        -0.012


           ALPHA
              A24
              ________
      1         0.014


           BETA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 Y1             1.000         0.100         0.000         0.000         0.000
 Y2             1.000         0.300         0.000         0.000         0.000
 Y3             1.000         0.500         0.000         0.000         0.000
 Y4             1.000         0.700         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           BETA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              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
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           BETA
              A24
              ________
 I              0.000
 S              0.000
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A21            0.000
 A22            0.000
 A23            0.000
 A24            0.000


           PSI
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I              2.524
 S              0.000         3.202
 Y1             0.000         0.000         0.050
 Y2             0.000         0.000         0.000         0.050
 Y3             0.000         0.000         0.000         0.000         0.050
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           PSI
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 Y4             0.050
 X              0.000         0.985
 A21            0.000         0.080         1.054
 A22            0.000         0.005         0.005         1.134
 A23            0.000        -0.095         0.007        -0.042         1.119
 A24            0.000         0.014        -0.005        -0.042         0.018


           PSI
              A24
              ________
 A24            0.920


     STARTING VALUES FOR 1988


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


           NU
              A21           A22           A23           A24
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


           LAMBDA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 Y1             0.000         0.000         1.000         0.000         0.000
 Y2             0.000         0.000         0.000         1.000         0.000
 Y3             0.000         0.000         0.000         0.000         1.000
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 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             1.000         0.000         0.000         0.000         0.000
 X              0.000         1.000         0.000         0.000         0.000
 A21            0.000         0.000         1.000         0.000         0.000
 A22            0.000         0.000         0.000         1.000         0.000
 A23            0.000         0.000         0.000         0.000         1.000
 A24            0.000         0.000         0.000         0.000         0.000


           LAMBDA
              A24
              ________
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A21            0.000
 A22            0.000
 A23            0.000
 A24            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
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           THETA
              A21           A22           A23           A24
              ________      ________      ________      ________
 A21            0.000
 A22            0.000         0.000
 A23            0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000


           ALPHA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
      1         0.000         0.002        -0.070        -0.059        -0.067


           ALPHA
              A24
              ________
      1         0.027


           BETA
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              0.000         0.000         0.000         0.000         0.000
 Y1             1.000         0.200         0.000         0.000         0.000
 Y2             1.000         0.400         0.000         0.000         0.000
 Y3             1.000         0.600         0.000         0.000         0.000
 Y4             1.000         0.800         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           BETA
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 I              0.000         0.000         0.000         0.000         0.000
 S              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
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           BETA
              A24
              ________
 I              0.000
 S              0.000
 Y1             0.000
 Y2             0.000
 Y3             0.000
 Y4             0.000
 X              0.000
 A21            0.000
 A22            0.000
 A23            0.000
 A24            0.000


           PSI
              I             S             Y1            Y2            Y3
              ________      ________      ________      ________      ________
 I              2.524
 S              0.000         3.202
 Y1             0.000         0.000         0.050
 Y2             0.000         0.000         0.000         0.050
 Y3             0.000         0.000         0.000         0.000         0.050
 Y4             0.000         0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000         0.000
 A21            0.000         0.000         0.000         0.000         0.000
 A22            0.000         0.000         0.000         0.000         0.000
 A23            0.000         0.000         0.000         0.000         0.000
 A24            0.000         0.000         0.000         0.000         0.000


           PSI
              Y4            X             A21           A22           A23
              ________      ________      ________      ________      ________
 Y4             0.050
 X              0.000         1.059
 A21            0.000         0.036         0.985
 A22            0.000         0.009         0.105         1.078
 A23            0.000         0.007         0.043        -0.003         1.045
 A24            0.000         0.015        -0.069        -0.063        -0.029


           PSI
              A24
              ________
 A24            1.032


     Beginning Time:  14:40:53
        Ending Time:  14:40:53
       Elapsed Time:  00:00:00



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