Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   3:30 AM

INPUT INSTRUCTIONS

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

montecarlo:
names are y1-y4 x a1-a4 w;
nobservations = 500;
ncsizes = 3;
csizes = 10 (5) 50 (3) 30 (10);
seed = 58459;
nreps = 1;
within = x a1-a4;
between = w;
save = ex9.14.dat;

ANALYSIS:
TYPE = TWOLEVEL RANDOM;
algorithm = integration;
integration = 10;

MODEL POPULATION:

%WITHIN%
x@1; a1-a4@1;
iw sw | y1@0 y2@1 y3@2 y4@3;
y1-y4*.5 (1);
iw ON x*1;
sw ON x*.2;
iw*1; sw*.5;
s* | y1 ON a1;
s* | y2 ON a2;
s* | y3 ON a3;
s* | y4 ON a4;
s*.5;

%BETWEEN%
w@1;
ib sb | y1@0 y2@1 y3@2 y4@3;
y1-y4@0;
ib ON w*.5;
sb ON w*.2;
s ON w*.6;
s with ib-sb@0;
[ib*1 sb*.5 s*1];
ib*.5; sb*.2; s*.3;

MODEL:

%WITHIN%

iw sw | y1@0 y2@1 y3@2 y4@3;
y1-y4*.5 (1);
iw ON x*1;
sw ON x*.2;
iw*1; sw*.5;
s* | y1 ON a1;
s* | y2 ON a2;
s* | y3 ON a3;
s* | y4 ON a4;
s*.5;

%BETWEEN%

ib sb | y1@0 y2@1 y3@2 y4@3;
y1-y4@0;
ib ON w*.5;
sb ON w*.2;
s ON w*.6;
s with ib-sb@0;
[ib*1 sb*.5 s*1];
ib*.5; sb*.2; s*.3;

output:
tech8 tech9;

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

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
Requested                                                    1
Completed                                                    1
Value of seed                                                58459

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

Observed dependent variables

Continuous
Y1          Y2          Y3          Y4

Observed independent variables
X           A1          A2          A3          A4          W

Continuous latent variables
IW          SW          S           IB          SB

Variables with special functions

Within variables
X           A1          A2          A3          A4

Between variables
W

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

SUMMARY OF DATA FOR THE FIRST REPLICATION

Cluster information

Size (s)    Number of clusters of Size s

3            50
5            10
10            30

SAMPLE STATISTICS FOR THE FIRST REPLICATION

SAMPLE STATISTICS

Means
Y1            Y2            Y3            Y4            X
________      ________      ________      ________      ________
1.019         1.653         2.015         2.701         0.033

Means
A1            A2            A3            A4            W
________      ________      ________      ________      ________
-0.078        -0.061        -0.002         0.039        -0.091

Covariances
Y1            Y2            Y3            Y4            X
________      ________      ________      ________      ________
Y1             5.276
Y2             3.073         8.072
Y3             3.628         6.355        10.410
Y4             3.609         7.548        10.017        16.330
X              0.900         1.184         1.513         1.623         0.922
A1             1.066         0.066         0.145         0.199         0.030
A2             0.043         1.265         0.277         0.153        -0.013
A3            -0.021        -0.028         0.821        -0.250        -0.066
A4            -0.105        -0.127        -0.078         0.871        -0.079
W              0.489         0.996         1.083         1.403        -0.027

Covariances
A1            A2            A3            A4            W
________      ________      ________      ________      ________
A1             0.985
A2            -0.009         1.073
A3            -0.012         0.019         1.022
A4             0.041        -0.035        -0.008         1.080
W              0.040         0.126        -0.041         0.004         0.956

Correlations
Y1            Y2            Y3            Y4            X
________      ________      ________      ________      ________
Y1             1.000
Y2             0.471         1.000
Y3             0.489         0.693         1.000
Y4             0.389         0.657         0.768         1.000
X              0.408         0.434         0.488         0.418         1.000
A1             0.468         0.024         0.045         0.050         0.031
A2             0.018         0.430         0.083         0.037        -0.013
A3            -0.009        -0.010         0.252        -0.061        -0.068
A4            -0.044        -0.043        -0.023         0.207        -0.079
W              0.218         0.359         0.343         0.355        -0.029

Correlations
A1            A2            A3            A4            W
________      ________      ________      ________      ________
A1             1.000
A2            -0.009         1.000
A3            -0.012         0.018         1.000
A4             0.039        -0.032        -0.008         1.000
W              0.041         0.125        -0.041         0.004         1.000

MODEL FIT INFORMATION

Number of Free Parameters                       17

Loglikelihood

H0 Value

Mean                             -3616.302
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        -3616.302      -3616.302
0.980       0.000        -3616.302      -3616.302
0.950       0.000        -3616.302      -3616.302
0.900       0.000        -3616.302      -3616.302
0.800       0.000        -3616.302      -3616.302
0.700       0.000        -3616.302      -3616.302
0.500       0.000        -3616.302      -3616.302
0.300       0.000        -3616.302      -3616.302
0.200       0.000        -3616.302      -3616.302
0.100       0.000        -3616.302      -3616.302
0.050       0.000        -3616.302      -3616.302
0.020       0.000        -3616.302      -3616.302
0.010       0.000        -3616.302      -3616.302

Information Criteria

Akaike (AIC)

Mean                              7266.605
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         7266.605       7266.605
0.980       0.000         7266.605       7266.605
0.950       0.000         7266.605       7266.605
0.900       0.000         7266.605       7266.605
0.800       0.000         7266.605       7266.605
0.700       0.000         7266.605       7266.605
0.500       0.000         7266.605       7266.605
0.300       0.000         7266.605       7266.605
0.200       0.000         7266.605       7266.605
0.100       0.000         7266.605       7266.605
0.050       0.000         7266.605       7266.605
0.020       0.000         7266.605       7266.605
0.010       0.000         7266.605       7266.605

Bayesian (BIC)

Mean                              7338.253
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         7338.253       7338.253
0.980       0.000         7338.253       7338.253
0.950       0.000         7338.253       7338.253
0.900       0.000         7338.253       7338.253
0.800       0.000         7338.253       7338.253
0.700       0.000         7338.253       7338.253
0.500       0.000         7338.253       7338.253
0.300       0.000         7338.253       7338.253
0.200       0.000         7338.253       7338.253
0.100       0.000         7338.253       7338.253
0.050       0.000         7338.253       7338.253
0.020       0.000         7338.253       7338.253
0.010       0.000         7338.253       7338.253

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

Mean                              7284.294
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         7284.294       7284.294
0.980       0.000         7284.294       7284.294
0.950       0.000         7284.294       7284.294
0.900       0.000         7284.294       7284.294
0.800       0.000         7284.294       7284.294
0.700       0.000         7284.294       7284.294
0.500       0.000         7284.294       7284.294
0.300       0.000         7284.294       7284.294
0.200       0.000         7284.294       7284.294
0.100       0.000         7284.294       7284.294
0.050       0.000         7284.294       7284.294
0.020       0.000         7284.294       7284.294
0.010       0.000         7284.294       7284.294

MODEL RESULTS

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

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

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

IW         ON
X                   1.000     1.0055     0.0000     0.0635     0.0000 1.000 1.000

SW         ON
X                   0.200     0.2617     0.0000     0.0449     0.0038 1.000 1.000

SW       WITH
IW                  0.000     0.0454     0.0000     0.0515     0.0021 1.000 0.000

Variances
S                   0.500     0.6126     0.0000     0.0476     0.0127 0.000 1.000

Residual Variances
Y1                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
Y2                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
Y3                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
Y4                  0.500     0.5090     0.0000     0.0314     0.0001 1.000 1.000
IW                  1.000     0.8350     0.0000     0.0825     0.0272 0.000 1.000
SW                  0.500     0.5598     0.0000     0.0501     0.0036 1.000 1.000

Between Level

IB       |
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

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

IB         ON
W                   0.500     0.5269     0.0000     0.0997     0.0007 1.000 1.000

SB         ON
W                   0.200     0.3193     0.0000     0.0589     0.0142 0.000 1.000

S          ON
W                   0.600     0.6169     0.0000     0.0684     0.0003 1.000 1.000

S        WITH
IB                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
SB                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

SB       WITH
IB                  0.000    -0.0663     0.0000     0.0618     0.0044 1.000 0.000

Intercepts
Y1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
Y2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
Y3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
Y4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
IB                  1.000     1.0878     0.0000     0.0882     0.0077 1.000 1.000
SB                  0.500     0.5669     0.0000     0.0630     0.0045 1.000 1.000
S                   1.000     1.0583     0.0000     0.0723     0.0034 1.000 1.000

Residual Variances
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
IB                  0.500     0.4139     0.0000     0.0939     0.0074 1.000 1.000
SB                  0.200     0.1994     0.0000     0.0562     0.0000 1.000 1.000
S                   0.300     0.2763     0.0000     0.0645     0.0006 1.000 1.000

QUALITY OF NUMERICAL RESULTS

Average Condition Number for the Information Matrix      0.217E-01
(ratio of smallest to largest eigenvalue)

TECHNICAL 1 OUTPUT

PARAMETER SPECIFICATION FOR WITHIN

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

NU
A1            A2            A3            A4
________      ________      ________      ________
0             0             0             0

LAMBDA
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
Y1                 0             0             0             0             0
Y2                 0             0             0             0             0
Y3                 0             0             0             0             0
Y4                 0             0             0             0             0
X                  0             0             0             0             0
A1                 0             0             0             0             0
A2                 0             0             0             0             0
A3                 0             0             0             0             0
A4                 0             0             0             0             0

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

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

THETA
Y1            Y2            Y3            Y4            X
________      ________      ________      ________      ________
Y1                 0
Y2                 0             0
Y3                 0             0             0
Y4                 0             0             0             0
X                  0             0             0             0             0
A1                 0             0             0             0             0
A2                 0             0             0             0             0
A3                 0             0             0             0             0
A4                 0             0             0             0             0

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

ALPHA
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
0             0             0             0             0

ALPHA
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
0             0             0             0             0

ALPHA
A3            A4
________      ________
0             0

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

BETA
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
IW                 0             0             1             0             0
SW                 0             0             2             0             0
S%W                0             0             0             0             0
Y1                 0             0             0             0             0
Y2                 0             0             0             0             0
Y3                 0             0             0             0             0
Y4                 0             0             0             0             0
X                  0             0             0             0             0
A1                 0             0             0             0             0
A2                 0             0             0             0             0
A3                 0             0             0             0             0
A4                 0             0             0             0             0

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

PSI
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
IW                 3
SW                 4             5
S%W                0             0             6
Y1                 0             0             0             7
Y2                 0             0             0             0             7
Y3                 0             0             0             0             0
Y4                 0             0             0             0             0
X                  0             0             0             0             0
A1                 0             0             0             0             0
A2                 0             0             0             0             0
A3                 0             0             0             0             0
A4                 0             0             0             0             0

PSI
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
Y3                 7
Y4                 0             7
X                  0             0             0
A1                 0             0             0             0
A2                 0             0             0             0             0
A3                 0             0             0             0             0
A4                 0             0             0             0             0

PSI
A3            A4
________      ________
A3                 0
A4                 0             0

PARAMETER SPECIFICATION FOR BETWEEN

NU
Y1            Y2            Y3            Y4            W
________      ________      ________      ________      ________
0             0             0             0             0

LAMBDA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
Y1                 0             0             0             0             0
Y2                 0             0             0             0             0
Y3                 0             0             0             0             0
Y4                 0             0             0             0             0
W                  0             0             0             0             0

LAMBDA
Y3            Y4            W
________      ________      ________
Y1                 0             0             0
Y2                 0             0             0
Y3                 0             0             0
Y4                 0             0             0
W                  0             0             0

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

ALPHA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
8             9            10             0             0

ALPHA
Y3            Y4            W
________      ________      ________
0             0             0

BETA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
IB                 0             0             0             0             0
SB                 0             0             0             0             0
S%B                0             0             0             0             0
Y1                 0             0             0             0             0
Y2                 0             0             0             0             0
Y3                 0             0             0             0             0
Y4                 0             0             0             0             0
W                  0             0             0             0             0

BETA
Y3            Y4            W
________      ________      ________
IB                 0             0            11
SB                 0             0            12
S%B                0             0            13
Y1                 0             0             0
Y2                 0             0             0
Y3                 0             0             0
Y4                 0             0             0
W                  0             0             0

PSI
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
IB                14
SB                15            16
S%B                0             0            17
Y1                 0             0             0             0
Y2                 0             0             0             0             0
Y3                 0             0             0             0             0
Y4                 0             0             0             0             0
W                  0             0             0             0             0

PSI
Y3            Y4            W
________      ________      ________
Y3                 0
Y4                 0             0
W                  0             0             0

STARTING VALUES FOR WITHIN

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

NU
A1            A2            A3            A4
________      ________      ________      ________
0.000         0.000         0.000         0.000

LAMBDA
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
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
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

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

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

THETA
Y1            Y2            Y3            Y4            X
________      ________      ________      ________      ________
Y1             0.000
Y2             0.000         0.000
Y3             0.000         0.000         0.000
Y4             0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

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

ALPHA
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

ALPHA
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

ALPHA
A3            A4
________      ________
0.000         0.000

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

BETA
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
IW             0.000         0.000         1.000         0.000         0.000
SW             0.000         0.000         0.200         0.000         0.000
S%W            0.000         0.000         0.000         0.000         0.000
Y1             0.000         0.000         0.000         0.000         0.000
Y2             0.000         0.000         0.000         0.000         0.000
Y3             0.000         0.000         0.000         0.000         0.000
Y4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

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

PSI
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
IW             1.000
SW             0.000         0.500
S%W            0.000         0.000         0.500
Y1             0.000         0.000         0.000         0.500
Y2             0.000         0.000         0.000         0.000         0.500
Y3             0.000         0.000         0.000         0.000         0.000
Y4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

PSI
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
Y3             0.500
Y4             0.000         0.500
X              0.000         0.000         0.500
A1             0.000         0.000         0.000         0.500
A2             0.000         0.000         0.000         0.000         0.500
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

PSI
A3            A4
________      ________
A3             0.500
A4             0.000         0.500

STARTING VALUES FOR BETWEEN

NU
Y1            Y2            Y3            Y4            W
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

LAMBDA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
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
W              0.000         0.000         0.000         0.000         0.000

LAMBDA
Y3            Y4            W
________      ________      ________
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
W              0.000         0.000         1.000

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

ALPHA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
1.000         0.500         1.000         0.000         0.000

ALPHA
Y3            Y4            W
________      ________      ________
0.000         0.000         0.000

BETA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
S%B            0.000         0.000         0.000         0.000         0.000
Y1             1.000         0.000         0.000         0.000         0.000
Y2             1.000         1.000         0.000         0.000         0.000
Y3             1.000         2.000         0.000         0.000         0.000
Y4             1.000         3.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

BETA
Y3            Y4            W
________      ________      ________
IB             0.000         0.000         0.500
SB             0.000         0.000         0.200
S%B            0.000         0.000         0.600
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
W              0.000         0.000         0.000

PSI
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
IB             0.500
SB             0.000         0.200
S%B            0.000         0.000         0.300
Y1             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
W              0.000         0.000         0.000         0.000         0.000

PSI
Y3            Y4            W
________      ________      ________
Y3             0.000
Y4             0.000         0.000
W              0.000         0.000         0.500

POPULATION VALUES FOR WITHIN

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

NU
A1            A2            A3            A4
________      ________      ________      ________
0.000         0.000         0.000         0.000

LAMBDA
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
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
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

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

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

THETA
Y1            Y2            Y3            Y4            X
________      ________      ________      ________      ________
Y1             0.000
Y2             0.000         0.000
Y3             0.000         0.000         0.000
Y4             0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

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

ALPHA
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

ALPHA
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

ALPHA
A3            A4
________      ________
0.000         0.000

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

BETA
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
IW             0.000         0.000         1.000         0.000         0.000
SW             0.000         0.000         0.200         0.000         0.000
S%W            0.000         0.000         0.000         0.000         0.000
Y1             0.000         0.000         0.000         0.000         0.000
Y2             0.000         0.000         0.000         0.000         0.000
Y3             0.000         0.000         0.000         0.000         0.000
Y4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

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

PSI
IW            SW            S%W           Y1            Y2
________      ________      ________      ________      ________
IW             1.000
SW             0.000         0.500
S%W            0.000         0.000         0.500
Y1             0.000         0.000         0.000         0.500
Y2             0.000         0.000         0.000         0.000         0.500
Y3             0.000         0.000         0.000         0.000         0.000
Y4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
A1             0.000         0.000         0.000         0.000         0.000
A2             0.000         0.000         0.000         0.000         0.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

PSI
Y3            Y4            X             A1            A2
________      ________      ________      ________      ________
Y3             0.500
Y4             0.000         0.500
X              0.000         0.000         1.000
A1             0.000         0.000         0.000         1.000
A2             0.000         0.000         0.000         0.000         1.000
A3             0.000         0.000         0.000         0.000         0.000
A4             0.000         0.000         0.000         0.000         0.000

PSI
A3            A4
________      ________
A3             1.000
A4             0.000         1.000

POPULATION VALUES FOR BETWEEN

NU
Y1            Y2            Y3            Y4            W
________      ________      ________      ________      ________
0.000         0.000         0.000         0.000         0.000

LAMBDA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
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
W              0.000         0.000         0.000         0.000         0.000

LAMBDA
Y3            Y4            W
________      ________      ________
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
W              0.000         0.000         1.000

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

ALPHA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
1.000         0.500         1.000         0.000         0.000

ALPHA
Y3            Y4            W
________      ________      ________
0.000         0.000         0.000

BETA
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
S%B            0.000         0.000         0.000         0.000         0.000
Y1             1.000         0.000         0.000         0.000         0.000
Y2             1.000         1.000         0.000         0.000         0.000
Y3             1.000         2.000         0.000         0.000         0.000
Y4             1.000         3.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

BETA
Y3            Y4            W
________      ________      ________
IB             0.000         0.000         0.500
SB             0.000         0.000         0.200
S%B            0.000         0.000         0.600
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
W              0.000         0.000         0.000

PSI
IB            SB            S%B           Y1            Y2
________      ________      ________      ________      ________
IB             0.500
SB             0.000         0.200
S%B            0.000         0.000         0.300
Y1             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
W              0.000         0.000         0.000         0.000         0.000

PSI
Y3            Y4            W
________      ________      ________
Y3             0.000
Y4             0.000         0.000
W              0.000         0.000         1.000

TECHNICAL 8 OUTPUT

TECHNICAL 8 OUTPUT FOR REPLICATION 1

E STEP  ITER  LOGLIKELIHOOD    ABS CHANGE   REL CHANGE  ALGORITHM
1 -0.36279127D+04    0.0000000    0.0000000  EM
2 -0.36181862D+04    9.7265087    0.0026810  EM
3 -0.36169697D+04    1.2164754    0.0003362  EM
4 -0.36165910D+04    0.3786802    0.0001047  EM
5 -0.36164351D+04    0.1559628    0.0000431  EM
6 -0.36163646D+04    0.0704903    0.0000195  EM
7 -0.36163316D+04    0.0330362    0.0000091  EM
8 -0.36163158D+04    0.0157127    0.0000043  EM
9 -0.36163083D+04    0.0075076    0.0000021  EM
10 -0.36163048D+04    0.0035783    0.0000010  EM
11 -0.36163031D+04    0.0016885    0.0000005  EM
12 -0.36163023D+04    0.0007804    0.0000002  EM

TECHNICAL 9 OUTPUT

Error messages for each replication (if any)

SAVEDATA INFORMATION

Order of variables

Y1
Y2
Y3
Y4
X
A1
A2
A3
A4
W
CLUSTER

Save file
ex9.14.dat

Save file format           Free
Save file record length    10000

Beginning Time:  03:30:52
Ending Time:  03:31:29
Elapsed Time:  00:00:37

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