Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:12 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
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR 1990
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 0.502 -0.040 -4.251 0.20% -0.864 0.074 0.542
500.000 2.821 -0.072 5.192 0.20% 0.960 1.912
Y2 0.744 -0.007 -4.387 0.20% -0.623 0.297 0.765
500.000 2.727 -0.113 5.138 0.20% 1.195 2.163
Y3 0.870 -0.188 -5.796 0.20% -0.547 0.479 0.944
500.000 2.693 0.189 6.258 0.20% 1.367 2.316
Y4 1.043 -0.088 -4.107 0.20% -0.454 0.595 1.037
500.000 3.031 -0.329 5.700 0.20% 1.498 2.588
X -0.035 -0.070 -3.215 0.20% -0.811 -0.296 -0.054
500.000 0.974 0.161 2.797 0.20% 0.155 0.814
A21 0.024 -0.175 -3.990 0.20% -0.770 -0.158 0.058
500.000 1.041 0.136 2.744 0.20% 0.300 0.825
A22 0.090 0.036 -2.597 0.20% -0.824 -0.223 0.115
500.000 1.042 -0.377 2.840 0.20% 0.374 1.002
A23 0.013 -0.021 -2.799 0.20% -0.835 -0.215 0.024
500.000 1.032 -0.087 3.446 0.20% 0.264 0.906
A24 0.030 0.001 -3.542 0.20% -0.801 -0.243 -0.031
500.000 1.063 0.252 3.254 0.20% 0.257 0.871
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR 1989
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 0.586 0.161 -3.475 0.20% -0.929 0.065 0.511
500.000 2.828 -0.208 6.379 0.20% 1.056 2.060
Y2 0.753 0.084 -4.546 0.20% -0.837 0.257 0.780
500.000 3.137 -0.289 6.047 0.20% 1.229 2.219
Y3 0.982 0.008 -4.969 0.20% -0.489 0.450 0.921
500.000 3.071 -0.019 6.746 0.20% 1.443 2.585
Y4 1.187 0.187 -3.671 0.20% -0.471 0.639 1.045
500.000 3.457 -0.269 6.129 0.20% 1.531 2.745
X -0.010 -0.049 -2.887 0.20% -0.823 -0.261 -0.031
500.000 0.985 -0.249 2.840 0.20% 0.206 0.845
A21 0.024 0.013 -3.035 0.20% -0.843 -0.220 0.003
500.000 1.054 0.135 3.812 0.20% 0.259 0.870
A22 -0.033 -0.070 -3.223 0.20% -0.946 -0.331 -0.022
500.000 1.134 -0.048 2.983 0.20% 0.269 0.883
A23 -0.012 -0.032 -3.215 0.20% -0.940 -0.296 0.035
500.000 1.119 -0.174 2.894 0.20% 0.266 0.895
A24 0.014 0.022 -3.183 0.20% -0.815 -0.207 -0.001
500.000 0.920 0.284 3.412 0.20% 0.229 0.806
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR 1988
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 0.676 0.088 -4.251 0.20% -0.691 0.190 0.623
500.000 2.816 0.084 5.736 0.20% 0.969 2.025
Y2 0.879 0.139 -4.188 0.20% -0.574 0.369 0.823
500.000 3.265 -0.004 5.911 0.20% 1.215 2.346
Y3 1.107 0.013 -4.629 0.20% -0.361 0.697 1.145
500.000 3.160 0.032 6.377 0.20% 1.599 2.446
Y4 1.312 0.150 -4.414 0.20% -0.222 0.795 1.310
500.000 3.593 0.009 6.813 0.20% 1.767 2.725
X 0.002 0.144 -2.809 0.20% -0.867 -0.293 -0.011
500.000 1.059 -0.072 3.053 0.20% 0.220 0.814
A21 -0.070 -0.099 -3.406 0.20% -0.900 -0.320 -0.035
500.000 0.985 -0.115 2.588 0.20% 0.188 0.776
A22 -0.059 -0.105 -3.400 0.20% -0.922 -0.321 -0.069
500.000 1.078 -0.041 2.964 0.20% 0.208 0.849
A23 -0.067 0.172 -2.925 0.20% -0.988 -0.370 -0.089
500.000 1.045 -0.161 3.304 0.20% 0.173 0.779
A24 0.027 -0.166 -3.973 0.20% -0.820 -0.241 -0.006
500.000 1.032 0.062 2.627 0.20% 0.279 0.907
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 34.243
1989 14.620
1988 27.786
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 0.023
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 32.540 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 11.734 0.000
Y4 ON
A24 0.220 0.025 8.816 0.000
I WITH
S 0.065 0.068 0.960 0.337
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 16.226 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 32.540 0.000
S ON
X 0.294 0.042 6.988 0.000
Y1 ON
A21 0.479 0.034 13.916 0.000
Y2 ON
A22 0.458 0.037 12.467 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 0.960 0.337
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 16.226 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 12.804 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 32.540 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 11.734 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 0.960 0.337
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 16.226 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 4.225 0.057 0.081 0.049
S ON I /
I BY S 4.355 -0.116 -0.241 -0.241
ON Statements
S ON Y2 7.323 -0.120 -0.175 -0.291
S ON Y3 6.082 -0.100 -0.146 -0.248
S ON Y4 4.375 -0.078 -0.114 -0.202
S ON X 4.683 -0.126 -0.184 -0.181
S ON A23 6.162 -0.173 -0.252 -0.256
Y1 ON Y1 4.226 0.057 0.057 0.057
Y1 ON Y2 3.955 0.045 0.045 0.045
Y1 ON Y4 5.811 0.046 0.046 0.049
Y4 ON Y2 4.417 -0.047 -0.047 -0.044
Y4 ON A23 5.344 -0.087 -0.087 -0.050
WITH Statements
Y1 WITH S 4.640 0.174 0.282 0.430
Y4 WITH Y1 4.666 0.077 0.077 0.169
Y4 WITH Y2 6.622 -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 6.085 -0.177 -0.285 -0.281
A23 WITH Y4 5.001 -0.087 -0.087 -0.123
Variances/Residual Variances
Y3 4.147 -0.057 -0.057 -0.020
Group 1989
ON Statements
Y4 ON Y1 3.913 0.047 0.047 0.043
WITH Statements
Y3 WITH Y1 4.174 -0.072 -0.072 -0.150
Group 1988
ON/BY Statements
Y2 ON I /
I BY Y2 4.363 0.050 0.072 0.041
ON Statements
Y2 ON Y2 5.671 0.043 0.043 0.043
Y4 ON A22 4.723 -0.074 -0.074 -0.041
WITH Statements
Y1 WITH I 4.260 -0.093 -0.094 -0.130
Y2 WITH I 5.034 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
________ ________ ________ ________ ________
0 0 0 0 0
NU
A21 A22 A23 A24
________ ________ ________ ________
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 2 0 0 0
ALPHA
Y4 X A21 A22 A23
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
A24
________
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
________ ________ ________ ________ ________
0 0 0 0 0
NU
A21 A22 A23 A24
________ ________ ________ ________
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 2 0 0 0
ALPHA
Y4 X A21 A22 A23
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
A24
________
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
________ ________ ________ ________ ________
0 0 0 0 0
NU
A21 A22 A23 A24
________ ________ ________ ________
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 2 0 0 0
ALPHA
Y4 X A21 A22 A23
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
A24
________
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
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
A21 A22 A23 A24
________ ________ ________ ________
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
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
Y4 X A21 A22 A23
________ ________ ________ ________ ________
0.000 -0.035 0.024 0.090 0.013
ALPHA
A24
________
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
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
A21 A22 A23 A24
________ ________ ________ ________
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
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
Y4 X A21 A22 A23
________ ________ ________ ________ ________
0.000 -0.010 0.024 -0.033 -0.012
ALPHA
A24
________
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 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 0.985
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
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
A21 A22 A23 A24
________ ________ ________ ________
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
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
Y4 X A21 A22 A23
________ ________ ________ ________ ________
0.000 0.002 -0.070 -0.059 -0.067
ALPHA
A24
________
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 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 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: 23:12:19
Ending Time: 23:12:20
Elapsed Time: 00:00:01
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