Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:21 PM
INPUT INSTRUCTIONS
Title:
this is an example of modeling with data
not missing at random (NMAR) using the
Diggle-Kenward selection model
Generating missing data indicators m
(analyzed as an arbitrary model)
Note that the m's are renamed as z's
in the real-data run of ex11.3
Note also that this is the same Monte Carlo
setup as for mcex11.2
MonteCarlo:
names = y0 y1-y5 m1-m5;
nobs = 1000;
nreps = 1;
missing = y1-y5;
generate = m1-m5(1);
categorical = m1-m5;
save = ex11.3.dat;
Model population:
i s | y0@0 y1@1 y2@2 y3@3 y4@4 y5@5;
i*.25 s*.1;
y0*.4 y1*.4 y2*.35 y3*.3 y4*.4 y5*.5;
[m1$1*2];
[m2$1*1];
[m3$1*0];
[m4$1*0];
[m5$1*-1];
! Missing at t as a function of y_t-1, y_t, and previous m's
m1 on y0*-.1 y1*1;
m2 on y1*-.1 y2*1 m1*.5;
m3 on y2*-.1 y3*1 m1-m2*.5;
m4 on y3*-.1 y4*1 m1-m3*.5;
m5 on y4*-.1 y5*1 m1-m4*.5;
[i*2 s*-1];
Model missing:
! missing on y if m=1 (high logit)
[y1-y5@-15];
y1 on m1@30;
y2 on m2@30;
y3 on m3@30;
y4 on m4@30;
y5 on m5@30;
Analysis:
algo = int;
integ = montecarlo;
Model:
! analyzed as Diggle-Kenward selection
! which is not the model that generated
! the data, and the m's are not scored
! as survival dropout indicators so DK
! analysis is not achieved
i s | y0@0 y1@1 y2@2 y3@3 y4@4 y5@5;
i*.25 s*.1;
y0*.4 y1*.4 y2*.35 y3*.3 y4*.4 y5*.5;
[m1$1*2];
[m2$1*1];
[m3$1*0];
[m4$1*0];
[m5$1*-1];
m1 on y0*-1 (11)
y1*1 (12);
m2 on y1*-1 (11)
y2*1 (12);
m3 on y2*-1 (11)
y3*1 (12);
m4 on y3*-1 (11)
y4*1 (12);
m5 on y4*-1 (11)
y5*1 (12);
[i*2 s*-1];
Output:
tech9;
INPUT READING TERMINATED NORMALLY
this is an example of modeling with data
not missing at random (NMAR) using the
Diggle-Kenward selection model
Generating missing data indicators m
(analyzed as an arbitrary model)
Note that the m's are renamed as z's
in the real-data run of ex11.3
Note also that this is the same Monte Carlo
setup as for mcex11.2
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 11
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y0 Y1 Y2 Y3 Y4 Y5
Binary and ordered categorical (ordinal)
M1 M2 M3 M4 M5
Continuous latent variables
I S
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
Maximum number of iterations for H1 2000
Convergence criterion for H1 0.100D-03
Optimization algorithm EMA
Integration Specifications
Type MONTECARLO
Number of integration points 1250
Dimensions of numerical integration 5
Adaptive quadrature ON
Monte Carlo integration seed 0
Link LOGIT
Cholesky OFF
SUMMARY OF DATA FOR THE FIRST REPLICATION
Number of missing data patterns 32
Number of y missing data patterns 32
Number of u missing data patterns 1
SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION
MISSING DATA PATTERNS FOR Y (x = not missing)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Y0 x x x x x x x x x x x x x x x x x x x x
Y1 x x x x x x x x x x x x
Y2 x x x x x x x x x
Y3 x x x x x x x x x
Y4 x x x x x x x x x x
Y5 x x x x x x x x x x x x
21 22 23 24 25 26 27 28 29 30 31 32
Y0 x x x x x x x x x x x x
Y1 x x x x
Y2 x x x x x x x
Y3 x x x x x x x
Y4 x x x x x x
Y5 x x x x
MISSING DATA PATTERN FREQUENCIES FOR Y
Pattern Frequency Pattern Frequency Pattern Frequency
1 299 12 17 23 29
2 60 13 21 24 39
3 21 14 30 25 6
4 9 15 11 26 19
5 74 16 21 27 8
6 13 17 33 28 7
7 35 18 70 29 6
8 16 19 13 30 14
9 24 20 25 31 14
10 10 21 5 32 8
11 13 22 30
COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT FOR Y
Covariance Coverage
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 1.000
Y1 0.736 0.736
Y2 0.693 0.535 0.693
Y3 0.615 0.491 0.469 0.615
Y4 0.724 0.562 0.555 0.516 0.724
Y5 0.687 0.541 0.530 0.501 0.573
Covariance Coverage
Y5
________
Y5 0.687
SAMPLE STATISTICS FOR THE FIRST REPLICATION
ESTIMATED SAMPLE STATISTICS
Means
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
2.038 0.920 -0.137 -1.176 -2.237
Means
Y5
________
-3.323
Covariances
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 0.692
Y1 0.218 0.653
Y2 0.234 0.436 0.956
Y3 0.223 0.424 0.770 1.243
Y4 0.227 0.538 0.950 1.284 2.094
Y5 0.189 0.626 1.079 1.446 1.911
Covariances
Y5
________
Y5 2.649
Correlations
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 1.000
Y1 0.324 1.000
Y2 0.288 0.552 1.000
Y3 0.240 0.470 0.707 1.000
Y4 0.189 0.460 0.672 0.796 1.000
Y5 0.140 0.476 0.678 0.797 0.811
Correlations
Y5
________
Y5 1.000
MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -5563.743
MODEL FIT INFORMATION
Number of Free Parameters 18
Loglikelihood
H0 Value
Mean -8265.980
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -8265.980 -8265.980
0.980 0.000 -8265.980 -8265.980
0.950 0.000 -8265.980 -8265.980
0.900 0.000 -8265.980 -8265.980
0.800 0.000 -8265.980 -8265.980
0.700 0.000 -8265.980 -8265.980
0.500 0.000 -8265.980 -8265.980
0.300 0.000 -8265.980 -8265.980
0.200 0.000 -8265.980 -8265.980
0.100 0.000 -8265.980 -8265.980
0.050 0.000 -8265.980 -8265.980
0.020 0.000 -8265.980 -8265.980
0.010 0.000 -8265.980 -8265.980
Information Criteria
Akaike (AIC)
Mean 16567.960
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 16567.960 16567.960
0.980 0.000 16567.960 16567.960
0.950 0.000 16567.960 16567.960
0.900 0.000 16567.960 16567.960
0.800 0.000 16567.960 16567.960
0.700 0.000 16567.960 16567.960
0.500 0.000 16567.960 16567.960
0.300 0.000 16567.960 16567.960
0.200 0.000 16567.960 16567.960
0.100 0.000 16567.960 16567.960
0.050 0.000 16567.960 16567.960
0.020 0.000 16567.960 16567.960
0.010 0.000 16567.960 16567.960
Bayesian (BIC)
Mean 16656.300
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 16656.300 16656.300
0.980 0.000 16656.300 16656.300
0.950 0.000 16656.300 16656.300
0.900 0.000 16656.300 16656.300
0.800 0.000 16656.300 16656.300
0.700 0.000 16656.300 16656.300
0.500 0.000 16656.300 16656.300
0.300 0.000 16656.300 16656.300
0.200 0.000 16656.300 16656.300
0.100 0.000 16656.300 16656.300
0.050 0.000 16656.300 16656.300
0.020 0.000 16656.300 16656.300
0.010 0.000 16656.300 16656.300
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 16599.131
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 16599.131 16599.131
0.980 0.000 16599.131 16599.131
0.950 0.000 16599.131 16599.131
0.900 0.000 16599.131 16599.131
0.800 0.000 16599.131 16599.131
0.700 0.000 16599.131 16599.131
0.500 0.000 16599.131 16599.131
0.300 0.000 16599.131 16599.131
0.200 0.000 16599.131 16599.131
0.100 0.000 16599.131 16599.131
0.050 0.000 16599.131 16599.131
0.020 0.000 16599.131 16599.131
0.010 0.000 16599.131 16599.131
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
I |
Y0 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y5 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
S |
Y0 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 3.000 3.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 4.000 4.0000 0.0000 0.0000 0.0000 1.000 0.000
Y5 5.000 5.0000 0.0000 0.0000 0.0000 1.000 0.000
M1 ON
Y0 -1.000 -0.0935 0.0000 0.0642 0.8218 0.000 0.000
Y1 1.000 1.1498 0.0000 0.0825 0.0224 1.000 1.000
M2 ON
Y1 -1.000 -0.0935 0.0000 0.0642 0.8218 0.000 0.000
Y2 1.000 1.1498 0.0000 0.0825 0.0224 1.000 1.000
M3 ON
Y2 -1.000 -0.0935 0.0000 0.0642 0.8218 0.000 0.000
Y3 1.000 1.1498 0.0000 0.0825 0.0224 1.000 1.000
M4 ON
Y3 -1.000 -0.0935 0.0000 0.0642 0.8218 0.000 0.000
Y4 1.000 1.1498 0.0000 0.0825 0.0224 1.000 1.000
M5 ON
Y4 -1.000 -0.0935 0.0000 0.0642 0.8218 0.000 0.000
Y5 1.000 1.1498 0.0000 0.0825 0.0224 1.000 1.000
S WITH
I 0.000 0.0145 0.0000 0.0096 0.0002 1.000 0.000
Means
I 2.000 2.0419 0.0000 0.0225 0.0018 1.000 1.000
S -1.000 -0.9827 0.0000 0.0133 0.0003 1.000 1.000
Intercepts
Y0 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y4 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y5 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Thresholds
M1$1 2.000 2.2535 0.0000 0.1236 0.0643 0.000 1.000
M2$1 1.000 1.0085 0.0000 0.0956 0.0001 1.000 1.000
M3$1 0.000 -0.4022 0.0000 0.0933 0.1618 0.000 1.000
M4$1 0.000 -0.6209 0.0000 0.1101 0.3855 0.000 1.000
M5$1 -1.000 -1.8173 0.0000 0.1472 0.6680 0.000 1.000
Variances
I 0.250 0.2247 0.0000 0.0244 0.0006 1.000 1.000
S 0.100 0.1217 0.0000 0.0079 0.0005 0.000 1.000
Residual Variances
Y0 0.400 0.4702 0.0000 0.0306 0.0049 0.000 1.000
Y1 0.400 0.3849 0.0000 0.0250 0.0002 1.000 1.000
Y2 0.350 0.3552 0.0000 0.0240 0.0000 1.000 1.000
Y3 0.300 0.2688 0.0000 0.0252 0.0010 1.000 1.000
Y4 0.400 0.4770 0.0000 0.0425 0.0059 1.000 1.000
Y5 0.500 0.4788 0.0000 0.0534 0.0004 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.172E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
TAU
M1$1 M2$1 M3$1 M4$1 M5$1
________ ________ ________ ________ ________
14 15 16 17 18
NU
M1 M2 M3 M4 M5
________ ________ ________ ________ ________
0 0 0 0 0
NU
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
0 0 0 0 0
NU
Y5
________
0
LAMBDA
I S M1 M2 M3
________ ________ ________ ________ ________
M1 0 0 0 0 0
M2 0 0 0 0 0
M3 0 0 0 0 0
M4 0 0 0 0 0
M5 0 0 0 0 0
Y0 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
Y5 0 0 0 0 0
LAMBDA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
M1 0 0 0 0 0
M2 0 0 0 0 0
M3 0 0 0 0 0
M4 0 0 0 0 0
M5 0 0 0 0 0
Y0 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
Y5 0 0 0 0 0
LAMBDA
Y3 Y4 Y5
________ ________ ________
M1 0 0 0
M2 0 0 0
M3 0 0 0
M4 0 0 0
M5 0 0 0
Y0 0 0 0
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
Y5 0 0 0
THETA
M1 M2 M3 M4 M5
________ ________ ________ ________ ________
M1 0
M2 0 0
M3 0 0 0
M4 0 0 0 0
M5 0 0 0 0 0
Y0 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
Y5 0 0 0 0 0
THETA
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 0
Y1 0 0
Y2 0 0 0
Y3 0 0 0 0
Y4 0 0 0 0 0
Y5 0 0 0 0 0
THETA
Y5
________
Y5 0
ALPHA
I S M1 M2 M3
________ ________ ________ ________ ________
1 2 0 0 0
ALPHA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
0 0 0 0 0
ALPHA
Y3 Y4 Y5
________ ________ ________
0 0 0
BETA
I S M1 M2 M3
________ ________ ________ ________ ________
I 0 0 0 0 0
S 0 0 0 0 0
M1 0 0 0 0 0
M2 0 0 0 0 0
M3 0 0 0 0 0
M4 0 0 0 0 0
M5 0 0 0 0 0
Y0 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
Y5 0 0 0 0 0
BETA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
I 0 0 0 0 0
S 0 0 0 0 0
M1 0 0 3 4 0
M2 0 0 0 3 4
M3 0 0 0 0 3
M4 0 0 0 0 0
M5 0 0 0 0 0
Y0 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
Y5 0 0 0 0 0
BETA
Y3 Y4 Y5
________ ________ ________
I 0 0 0
S 0 0 0
M1 0 0 0
M2 0 0 0
M3 4 0 0
M4 3 4 0
M5 0 3 4
Y0 0 0 0
Y1 0 0 0
Y2 0 0 0
Y3 0 0 0
Y4 0 0 0
Y5 0 0 0
PSI
I S M1 M2 M3
________ ________ ________ ________ ________
I 5
S 6 7
M1 0 0 0
M2 0 0 0 0
M3 0 0 0 0 0
M4 0 0 0 0 0
M5 0 0 0 0 0
Y0 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
Y5 0 0 0 0 0
PSI
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
M4 0
M5 0 0
Y0 0 0 8
Y1 0 0 0 9
Y2 0 0 0 0 10
Y3 0 0 0 0 0
Y4 0 0 0 0 0
Y5 0 0 0 0 0
PSI
Y3 Y4 Y5
________ ________ ________
Y3 11
Y4 0 12
Y5 0 0 13
STARTING VALUES
TAU
M1$1 M2$1 M3$1 M4$1 M5$1
________ ________ ________ ________ ________
2.000 1.000 0.000 0.000 -1.000
NU
M1 M2 M3 M4 M5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y5
________
0.000
LAMBDA
I S M1 M2 M3
________ ________ ________ ________ ________
M1 0.000 0.000 1.000 0.000 0.000
M2 0.000 0.000 0.000 1.000 0.000
M3 0.000 0.000 0.000 0.000 1.000
M4 0.000 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
LAMBDA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
M1 0.000 0.000 0.000 0.000 0.000
M2 0.000 0.000 0.000 0.000 0.000
M3 0.000 0.000 0.000 0.000 0.000
M4 1.000 0.000 0.000 0.000 0.000
M5 0.000 1.000 0.000 0.000 0.000
Y0 0.000 0.000 1.000 0.000 0.000
Y1 0.000 0.000 0.000 1.000 0.000
Y2 0.000 0.000 0.000 0.000 1.000
Y3 0.000 0.000 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000 0.000
Y5 0.000 0.000 0.000 0.000 0.000
LAMBDA
Y3 Y4 Y5
________ ________ ________
M1 0.000 0.000 0.000
M2 0.000 0.000 0.000
M3 0.000 0.000 0.000
M4 0.000 0.000 0.000
M5 0.000 0.000 0.000
Y0 0.000 0.000 0.000
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 1.000 0.000 0.000
Y4 0.000 1.000 0.000
Y5 0.000 0.000 1.000
THETA
M1 M2 M3 M4 M5
________ ________ ________ ________ ________
M1 0.000
M2 0.000 0.000
M3 0.000 0.000 0.000
M4 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
THETA
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 0.000
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
Y5 0.000 0.000 0.000 0.000 0.000
THETA
Y5
________
Y5 0.000
ALPHA
I S M1 M2 M3
________ ________ ________ ________ ________
2.000 -1.000 0.000 0.000 0.000
ALPHA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
Y3 Y4 Y5
________ ________ ________
0.000 0.000 0.000
BETA
I S M1 M2 M3
________ ________ ________ ________ ________
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
M1 0.000 0.000 0.000 0.000 0.000
M2 0.000 0.000 0.000 0.000 0.000
M3 0.000 0.000 0.000 0.000 0.000
M4 0.000 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 1.000 0.000 0.000 0.000 0.000
Y1 1.000 1.000 0.000 0.000 0.000
Y2 1.000 2.000 0.000 0.000 0.000
Y3 1.000 3.000 0.000 0.000 0.000
Y4 1.000 4.000 0.000 0.000 0.000
Y5 1.000 5.000 0.000 0.000 0.000
BETA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
M1 0.000 0.000 -1.000 1.000 0.000
M2 0.000 0.000 0.000 -1.000 1.000
M3 0.000 0.000 0.000 0.000 -1.000
M4 0.000 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
BETA
Y3 Y4 Y5
________ ________ ________
I 0.000 0.000 0.000
S 0.000 0.000 0.000
M1 0.000 0.000 0.000
M2 0.000 0.000 0.000
M3 1.000 0.000 0.000
M4 -1.000 1.000 0.000
M5 0.000 -1.000 1.000
Y0 0.000 0.000 0.000
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000
Y5 0.000 0.000 0.000
PSI
I S M1 M2 M3
________ ________ ________ ________ ________
I 0.250
S 0.000 0.100
M1 0.000 0.000 1.000
M2 0.000 0.000 0.000 1.000
M3 0.000 0.000 0.000 0.000 1.000
M4 0.000 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
PSI
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
M4 1.000
M5 0.000 1.000
Y0 0.000 0.000 0.400
Y1 0.000 0.000 0.000 0.400
Y2 0.000 0.000 0.000 0.000 0.350
Y3 0.000 0.000 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000 0.000
Y5 0.000 0.000 0.000 0.000 0.000
PSI
Y3 Y4 Y5
________ ________ ________
Y3 0.300
Y4 0.000 0.400
Y5 0.000 0.000 0.500
POPULATION VALUES
TAU
M1$1 M2$1 M3$1 M4$1 M5$1
________ ________ ________ ________ ________
2.000 1.000 0.000 0.000 -1.000
NU
M1 M2 M3 M4 M5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
Y5
________
0.000
LAMBDA
I S M1 M2 M3
________ ________ ________ ________ ________
M1 0.000 0.000 1.000 0.000 0.000
M2 0.000 0.000 0.000 1.000 0.000
M3 0.000 0.000 0.000 0.000 1.000
M4 0.000 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
LAMBDA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
M1 0.000 0.000 0.000 0.000 0.000
M2 0.000 0.000 0.000 0.000 0.000
M3 0.000 0.000 0.000 0.000 0.000
M4 1.000 0.000 0.000 0.000 0.000
M5 0.000 1.000 0.000 0.000 0.000
Y0 0.000 0.000 1.000 0.000 0.000
Y1 0.000 0.000 0.000 1.000 0.000
Y2 0.000 0.000 0.000 0.000 1.000
Y3 0.000 0.000 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000 0.000
Y5 0.000 0.000 0.000 0.000 0.000
LAMBDA
Y3 Y4 Y5
________ ________ ________
M1 0.000 0.000 0.000
M2 0.000 0.000 0.000
M3 0.000 0.000 0.000
M4 0.000 0.000 0.000
M5 0.000 0.000 0.000
Y0 0.000 0.000 0.000
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 1.000 0.000 0.000
Y4 0.000 1.000 0.000
Y5 0.000 0.000 1.000
THETA
M1 M2 M3 M4 M5
________ ________ ________ ________ ________
M1 0.000
M2 0.000 0.000
M3 0.000 0.000 0.000
M4 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
THETA
Y0 Y1 Y2 Y3 Y4
________ ________ ________ ________ ________
Y0 0.000
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
Y5 0.000 0.000 0.000 0.000 0.000
THETA
Y5
________
Y5 0.000
ALPHA
I S M1 M2 M3
________ ________ ________ ________ ________
2.000 -1.000 0.000 0.000 0.000
ALPHA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
ALPHA
Y3 Y4 Y5
________ ________ ________
0.000 0.000 0.000
BETA
I S M1 M2 M3
________ ________ ________ ________ ________
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
M1 0.000 0.000 0.000 0.000 0.000
M2 0.000 0.000 0.500 0.000 0.000
M3 0.000 0.000 0.500 0.500 0.000
M4 0.000 0.000 0.500 0.500 0.500
M5 0.000 0.000 0.500 0.500 0.500
Y0 1.000 0.000 0.000 0.000 0.000
Y1 1.000 1.000 0.000 0.000 0.000
Y2 1.000 2.000 0.000 0.000 0.000
Y3 1.000 3.000 0.000 0.000 0.000
Y4 1.000 4.000 0.000 0.000 0.000
Y5 1.000 5.000 0.000 0.000 0.000
BETA
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
M1 0.000 0.000 -0.100 1.000 0.000
M2 0.000 0.000 0.000 -0.100 1.000
M3 0.000 0.000 0.000 0.000 -0.100
M4 0.000 0.000 0.000 0.000 0.000
M5 0.500 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
BETA
Y3 Y4 Y5
________ ________ ________
I 0.000 0.000 0.000
S 0.000 0.000 0.000
M1 0.000 0.000 0.000
M2 0.000 0.000 0.000
M3 1.000 0.000 0.000
M4 -0.100 1.000 0.000
M5 0.000 -0.100 1.000
Y0 0.000 0.000 0.000
Y1 0.000 0.000 0.000
Y2 0.000 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000
Y5 0.000 0.000 0.000
PSI
I S M1 M2 M3
________ ________ ________ ________ ________
I 0.250
S 0.000 0.100
M1 0.000 0.000 0.000
M2 0.000 0.000 0.000 0.000
M3 0.000 0.000 0.000 0.000 0.000
M4 0.000 0.000 0.000 0.000 0.000
M5 0.000 0.000 0.000 0.000 0.000
Y0 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
Y5 0.000 0.000 0.000 0.000 0.000
PSI
M4 M5 Y0 Y1 Y2
________ ________ ________ ________ ________
M4 0.000
M5 0.000 0.000
Y0 0.000 0.000 0.400
Y1 0.000 0.000 0.000 0.400
Y2 0.000 0.000 0.000 0.000 0.350
Y3 0.000 0.000 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000 0.000
Y5 0.000 0.000 0.000 0.000 0.000
PSI
Y3 Y4 Y5
________ ________ ________
Y3 0.300
Y4 0.000 0.400
Y5 0.000 0.000 0.500
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
M1
M2
M3
M4
M5
Y0
Y1
Y2
Y3
Y4
Y5
Save file
ex11.3.dat
Save file format Free
Save file record length 10000
Missing designated by 999
Beginning Time: 22:21:11
Ending Time: 22:21:36
Elapsed Time: 00:00:25
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