```Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:20 PM

INPUT INSTRUCTIONS

title:	this is an example of a Monte Carlo simulation
study for a two-level growth model for a count outcome
using a zero-inflated Poisson model (three-level analysis)

montecarlo:
names = u1-u4 x w;
generate = u1-u4(ci);
count = u1-u4(i);
nobs = 1000;
ncsizes = 3;
csizes = 40 (5) 50 (10) 20 (15);
within = x;
between = w;
nreps = 1;
save = ex9.17.dat;

analysis:
type = twolevel;
integration = 10;
mconv = .01;

model population:
%within%
x@1;

iw sw | u1@0 u2@1 u3@2 u4@3;

iw*.4; sw@0;

iiw siw | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

iiw*1; siw@0;
! inflation slope variance zero for simplicity
siw with iw-iiw@0;
iw with iiw*-.32;
! correlation is -0.5 between i and iiw
sw with iiw@0;

iw on x*.2;
sw on x*.05;

%between%

w@1;
ib sb | u1@0 u2@1 u3@2 u4@3;
iib sib | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

iib-sib@0;

[u1-u4@0];
[u1#1-u4#1*-.5];
[iib@0 sib*-.2];

ib on w*.5;
[ib*.2 sb*.005];
ib*.2 sb@0;

model:
%within%

iw sw | u1@0 u2@1 u3@2 u4@3;

iw*.4; sw@0;

iiw siw | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

iiw*1; siw@0;
! inflation slope variance zero for simplicity
siw with iw-iiw@0;
iw with iiw*-.32;
! correlation is -0.5 between i and iiw
sw with iiw@0;

iw on x*.2;
sw on x*.05;

%between%

ib sb | u1@0 u2@1 u3@2 u4@3;
iib sib | u1#1@0 u2#1@1 u3#1@2 u4#1@3;

iib-sib@0;

[u1-u4@0];
[u1#1-u4#1*-.5] (1);
[iib@0 sib*-.2];

ib on w*.5;
[ib*.2 sb*.005];
ib*.2 sb@0;

output:
tech8 tech9;

*** WARNING in MODEL command
All continuous latent variable covariances involving SB on the between level
have been fixed to 0 because the variance of SB is fixed at 0.
*** WARNING in MODEL command
All continuous latent variable covariances involving IIB on the between level
have been fixed to 0 because the variance of IIB is fixed at 0.
*** WARNING in MODEL command
All continuous latent variable covariances involving SW on the within level
have been fixed to 0 because the variance of SW is fixed at 0.
3 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS

this is an example of a Monte Carlo simulation
study for a two-level growth model for a count outcome
using a zero-inflated Poisson model (three-level analysis)

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                                    4
Number of independent variables                                  2
Number of continuous latent variables                            8

Observed dependent variables

Count
U1          U2          U3          U4

Observed independent variables
X           W

Continuous latent variables
IW          SW          IIW         SIW         IB          SB
IIB         SIB

Variables with special functions

Within variables
X

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-01
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                            3
Cholesky                                                        ON

SUMMARY OF DATA FOR THE FIRST REPLICATION

Cluster information

Size (s)    Number of clusters of Size s

5            40
10            50
15            20

SAMPLE STATISTICS FOR THE FIRST REPLICATION

SAMPLE STATISTICS

Means
X             W
________      ________
1              0.012        -0.129

Covariances
X             W
________      ________
X              1.035
W             -0.009         0.956

Correlations
X             W
________      ________
X              1.000
W             -0.009         1.000

MODEL FIT INFORMATION

Number of Free Parameters                       11

Loglikelihood

H0 Value

Mean                             -5512.320
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        -5512.320      -5512.320
0.980       0.000        -5512.320      -5512.320
0.950       0.000        -5512.320      -5512.320
0.900       0.000        -5512.320      -5512.320
0.800       0.000        -5512.320      -5512.320
0.700       0.000        -5512.320      -5512.320
0.500       0.000        -5512.320      -5512.320
0.300       0.000        -5512.320      -5512.320
0.200       0.000        -5512.320      -5512.320
0.100       0.000        -5512.320      -5512.320
0.050       0.000        -5512.320      -5512.320
0.020       0.000        -5512.320      -5512.320
0.010       0.000        -5512.320      -5512.320

Information Criteria

Akaike (AIC)

Mean                             11046.639
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        11046.639      11046.639
0.980       0.000        11046.639      11046.639
0.950       0.000        11046.639      11046.639
0.900       0.000        11046.639      11046.639
0.800       0.000        11046.639      11046.639
0.700       0.000        11046.639      11046.639
0.500       0.000        11046.639      11046.639
0.300       0.000        11046.639      11046.639
0.200       0.000        11046.639      11046.639
0.100       0.000        11046.639      11046.639
0.050       0.000        11046.639      11046.639
0.020       0.000        11046.639      11046.639
0.010       0.000        11046.639      11046.639

Bayesian (BIC)

Mean                             11100.625
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        11100.625      11100.625
0.980       0.000        11100.625      11100.625
0.950       0.000        11100.625      11100.625
0.900       0.000        11100.625      11100.625
0.800       0.000        11100.625      11100.625
0.700       0.000        11100.625      11100.625
0.500       0.000        11100.625      11100.625
0.300       0.000        11100.625      11100.625
0.200       0.000        11100.625      11100.625
0.100       0.000        11100.625      11100.625
0.050       0.000        11100.625      11100.625
0.020       0.000        11100.625      11100.625
0.010       0.000        11100.625      11100.625

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

Mean                             11065.688
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000        11065.688      11065.688
0.980       0.000        11065.688      11065.688
0.950       0.000        11065.688      11065.688
0.900       0.000        11065.688      11065.688
0.800       0.000        11065.688      11065.688
0.700       0.000        11065.688      11065.688
0.500       0.000        11065.688      11065.688
0.300       0.000        11065.688      11065.688
0.200       0.000        11065.688      11065.688
0.100       0.000        11065.688      11065.688
0.050       0.000        11065.688      11065.688
0.020       0.000        11065.688      11065.688
0.010       0.000        11065.688      11065.688

MODEL RESULTS

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

IW       |
U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

SW       |
U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

IIW      |
U1#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U4#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

SIW      |
U1#1                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3#1                2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
U4#1                3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

IW         ON
X                   0.200     0.1683     0.0000     0.0408     0.0010 1.000 1.000

SW         ON
X                   0.050     0.0458     0.0000     0.0141     0.0000 1.000 1.000

SIW      WITH
IW                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
SW                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
IIW                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

IW       WITH
IIW                -0.320    -0.2781     0.0000     0.0682     0.0018 1.000 1.000

SW       WITH
IIW                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Variances
IIW                 1.000     0.7909     0.0000     0.2757     0.0437 1.000 1.000
SIW                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Residual Variances
IW                  0.400     0.4400     0.0000     0.0413     0.0016 1.000 1.000
SW                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Between Level

IB       |
U1                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U4                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

SB       |
U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
U2                  1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3                  2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
U4                  3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

IIB      |
U1#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U4#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

SIB      |
U1#1                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
U2#1                1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
U3#1                2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
U4#1                3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

IB         ON
W                   0.500     0.4512     0.0000     0.0463     0.0024 1.000 1.000

Means
SB                  0.005     0.0160     0.0000     0.0149     0.0001 1.000 0.000
IIB                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
SIB                -0.200    -0.2084     0.0000     0.0505     0.0001 1.000 1.000

Intercepts
IB                  0.200     0.1946     0.0000     0.0626     0.0000 1.000 1.000
U1#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
U1                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
U2#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
U2                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
U3#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
U3                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
U4#1               -0.500    -0.5257     0.0000     0.1095     0.0007 1.000 1.000
U4                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Variances
SB                  0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
IIB                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
SIB                 0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

Residual Variances
IB                  0.200     0.1841     0.0000     0.0445     0.0003 1.000 1.000

QUALITY OF NUMERICAL RESULTS

Average Condition Number for the Information Matrix      0.174E-02
(ratio of smallest to largest eigenvalue)

TECHNICAL 1 OUTPUT

PARAMETER SPECIFICATION FOR WITHIN

NU
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
1                  0             0             0             0             0

NU
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
1                  0             0             0             0             0

LAMBDA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
U1#1               0             0             0             0             0
U1                 0             0             0             0             0
U2#1               0             0             0             0             0
U2                 0             0             0             0             0
U3#1               0             0             0             0             0
U3                 0             0             0             0             0
U4#1               0             0             0             0             0
U4                 0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

LAMBDA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
U1#1               0             0             0             0             0
U1                 0             0             0             0             0
U2#1               0             0             0             0             0
U2                 0             0             0             0             0
U3#1               0             0             0             0             0
U3                 0             0             0             0             0
U4#1               0             0             0             0             0
U4                 0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

THETA
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
U1#1               0
U1                 0             0
U2#1               0             0             0
U2                 0             0             0             0
U3#1               0             0             0             0             0
U3                 0             0             0             0             0
U4#1               0             0             0             0             0
U4                 0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

THETA
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
U3                 0
U4#1               0             0
U4                 0             0             0
X                  0             0             0             0
W                  0             0             0             0             0

ALPHA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
1                  0             0             0             0             0

ALPHA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
1                  0             0             0             0             0

BETA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW                 0             0             0             0             0
SW                 0             0             0             0             0
IIW                0             0             0             0             0
SIW                0             0             0             0             0
IB                 0             0             0             0             0
SB                 0             0             0             0             0
IIB                0             0             0             0             0
SIB                0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

BETA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
IW                 0             0             0             1             0
SW                 0             0             0             2             0
IIW                0             0             0             0             0
SIW                0             0             0             0             0
IB                 0             0             0             0             0
SB                 0             0             0             0             0
IIB                0             0             0             0             0
SIB                0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

PSI
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW                 3
SW                 0             0
IIW                4             0             5
SIW                0             0             0             0
IB                 0             0             0             0             0
SB                 0             0             0             0             0
IIB                0             0             0             0             0
SIB                0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

PSI
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
SB                 0
IIB                0             0
SIB                0             0             0
X                  0             0             0             0
W                  0             0             0             0             0

PARAMETER SPECIFICATION FOR BETWEEN

NU
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
1                  6             0             6             0             6

NU
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
1                  0             6             0             0             0

LAMBDA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
U1#1               0             0             0             0             0
U1                 0             0             0             0             0
U2#1               0             0             0             0             0
U2                 0             0             0             0             0
U3#1               0             0             0             0             0
U3                 0             0             0             0             0
U4#1               0             0             0             0             0
U4                 0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

LAMBDA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
U1#1               0             0             0             0             0
U1                 0             0             0             0             0
U2#1               0             0             0             0             0
U2                 0             0             0             0             0
U3#1               0             0             0             0             0
U3                 0             0             0             0             0
U4#1               0             0             0             0             0
U4                 0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

THETA
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
U1#1               0
U1                 0             0
U2#1               0             0             0
U2                 0             0             0             0
U3#1               0             0             0             0             0
U3                 0             0             0             0             0
U4#1               0             0             0             0             0
U4                 0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

THETA
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
U3                 0
U4#1               0             0
U4                 0             0             0
X                  0             0             0             0
W                  0             0             0             0             0

ALPHA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
1                  0             0             0             0             7

ALPHA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
1                  8             0             9             0             0

BETA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW                 0             0             0             0             0
SW                 0             0             0             0             0
IIW                0             0             0             0             0
SIW                0             0             0             0             0
IB                 0             0             0             0             0
SB                 0             0             0             0             0
IIB                0             0             0             0             0
SIB                0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

BETA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
IW                 0             0             0             0             0
SW                 0             0             0             0             0
IIW                0             0             0             0             0
SIW                0             0             0             0             0
IB                 0             0             0             0            10
SB                 0             0             0             0             0
IIB                0             0             0             0             0
SIB                0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

PSI
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW                 0
SW                 0             0
IIW                0             0             0
SIW                0             0             0             0
IB                 0             0             0             0            11
SB                 0             0             0             0             0
IIB                0             0             0             0             0
SIB                0             0             0             0             0
X                  0             0             0             0             0
W                  0             0             0             0             0

PSI
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
SB                 0
IIB                0             0
SIB                0             0             0
X                  0             0             0             0
W                  0             0             0             0             0

STARTING VALUES FOR WITHIN

NU
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

NU
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

LAMBDA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
U1#1           0.000         0.000         1.000         0.000         0.000
U1             1.000         0.000         0.000         0.000         0.000
U2#1           0.000         0.000         1.000         1.000         0.000
U2             1.000         1.000         0.000         0.000         0.000
U3#1           0.000         0.000         1.000         2.000         0.000
U3             1.000         2.000         0.000         0.000         0.000
U4#1           0.000         0.000         1.000         3.000         0.000
U4             1.000         3.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

LAMBDA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
U1#1           0.000         0.000         0.000         0.000         0.000
U1             0.000         0.000         0.000         0.000         0.000
U2#1           0.000         0.000         0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000         0.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         0.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         1.000         0.000
W              0.000         0.000         0.000         0.000         1.000

THETA
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
U1#1           0.000
U1             0.000         0.000
U2#1           0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         0.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

THETA
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
U3             0.000
U4#1           0.000         0.000
U4             0.000         0.000         0.000
X              0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

ALPHA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

ALPHA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

BETA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.000         0.000
SW             0.000         0.000         0.000         0.000         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

BETA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.200         0.000
SW             0.000         0.000         0.000         0.050         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.400
SW             0.000         0.000
IIW           -0.320         0.000         1.000
SIW            0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
SB             0.000
IIB            0.000         0.000
SIB            0.000         0.000         0.000
X              0.000         0.000         0.000         0.500
W              0.000         0.000         0.000         0.000         0.000

STARTING VALUES FOR BETWEEN

NU
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
1             -0.500         0.000        -0.500         0.000        -0.500

NU
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
1              0.000        -0.500         0.000         0.000         0.000

LAMBDA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
U1#1           0.000         0.000         0.000         0.000         0.000
U1             0.000         0.000         0.000         0.000         1.000
U2#1           0.000         0.000         0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000         1.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         1.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         1.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

LAMBDA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
U1#1           0.000         1.000         0.000         0.000         0.000
U1             0.000         0.000         0.000         0.000         0.000
U2#1           0.000         1.000         1.000         0.000         0.000
U2             1.000         0.000         0.000         0.000         0.000
U3#1           0.000         1.000         2.000         0.000         0.000
U3             2.000         0.000         0.000         0.000         0.000
U4#1           0.000         1.000         3.000         0.000         0.000
U4             3.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         1.000         0.000
W              0.000         0.000         0.000         0.000         1.000

THETA
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
U1#1           0.000
U1             0.000         0.000
U2#1           0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         0.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

THETA
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
U3             0.000
U4#1           0.000         0.000
U4             0.000         0.000         0.000
X              0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

ALPHA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.200

ALPHA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
1              0.005         0.000        -0.200         0.000         0.000

BETA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.000         0.000
SW             0.000         0.000         0.000         0.000         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

BETA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.000         0.000
SW             0.000         0.000         0.000         0.000         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.500
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.000
SW             0.000         0.000
IIW            0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.200
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
SB             0.000
IIB            0.000         0.000
SIB            0.000         0.000         0.000
X              0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.500

POPULATION VALUES FOR WITHIN

NU
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

NU
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

LAMBDA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
U1#1           0.000         0.000         1.000         0.000         0.000
U1             1.000         0.000         0.000         0.000         0.000
U2#1           0.000         0.000         1.000         1.000         0.000
U2             1.000         1.000         0.000         0.000         0.000
U3#1           0.000         0.000         1.000         2.000         0.000
U3             1.000         2.000         0.000         0.000         0.000
U4#1           0.000         0.000         1.000         3.000         0.000
U4             1.000         3.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

LAMBDA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
U1#1           0.000         0.000         0.000         0.000         0.000
U1             0.000         0.000         0.000         0.000         0.000
U2#1           0.000         0.000         0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000         0.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         0.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         1.000         0.000
W              0.000         0.000         0.000         0.000         1.000

THETA
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
U1#1           0.000
U1             0.000         0.000
U2#1           0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         0.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

THETA
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
U3             0.000
U4#1           0.000         0.000
U4             0.000         0.000         0.000
X              0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

ALPHA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

ALPHA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.000

BETA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.000         0.000
SW             0.000         0.000         0.000         0.000         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

BETA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.200         0.000
SW             0.000         0.000         0.000         0.050         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.400
SW             0.000         0.000
IIW           -0.320         0.000         1.000
SIW            0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
SB             0.000
IIB            0.000         0.000
SIB            0.000         0.000         0.000
X              0.000         0.000         0.000         1.000
W              0.000         0.000         0.000         0.000         0.000

POPULATION VALUES FOR BETWEEN

NU
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
1             -0.500         0.000        -0.500         0.000        -0.500

NU
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
1              0.000        -0.500         0.000         0.000         0.000

LAMBDA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
U1#1           0.000         0.000         0.000         0.000         0.000
U1             0.000         0.000         0.000         0.000         1.000
U2#1           0.000         0.000         0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000         1.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         1.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         1.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

LAMBDA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
U1#1           0.000         1.000         0.000         0.000         0.000
U1             0.000         0.000         0.000         0.000         0.000
U2#1           0.000         1.000         1.000         0.000         0.000
U2             1.000         0.000         0.000         0.000         0.000
U3#1           0.000         1.000         2.000         0.000         0.000
U3             2.000         0.000         0.000         0.000         0.000
U4#1           0.000         1.000         3.000         0.000         0.000
U4             3.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         1.000         0.000
W              0.000         0.000         0.000         0.000         1.000

THETA
U1#1          U1            U2#1          U2            U3#1
________      ________      ________      ________      ________
U1#1           0.000
U1             0.000         0.000
U2#1           0.000         0.000         0.000
U2             0.000         0.000         0.000         0.000
U3#1           0.000         0.000         0.000         0.000         0.000
U3             0.000         0.000         0.000         0.000         0.000
U4#1           0.000         0.000         0.000         0.000         0.000
U4             0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

THETA
U3            U4#1          U4            X             W
________      ________      ________      ________      ________
U3             0.000
U4#1           0.000         0.000
U4             0.000         0.000         0.000
X              0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

ALPHA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
1              0.000         0.000         0.000         0.000         0.200

ALPHA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
1              0.005         0.000        -0.200         0.000         0.000

BETA
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.000         0.000
SW             0.000         0.000         0.000         0.000         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.000
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

BETA
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
IW             0.000         0.000         0.000         0.000         0.000
SW             0.000         0.000         0.000         0.000         0.000
IIW            0.000         0.000         0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.500
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
IW            SW            IIW           SIW           IB
________      ________      ________      ________      ________
IW             0.000
SW             0.000         0.000
IIW            0.000         0.000         0.000
SIW            0.000         0.000         0.000         0.000
IB             0.000         0.000         0.000         0.000         0.200
SB             0.000         0.000         0.000         0.000         0.000
IIB            0.000         0.000         0.000         0.000         0.000
SIB            0.000         0.000         0.000         0.000         0.000
X              0.000         0.000         0.000         0.000         0.000
W              0.000         0.000         0.000         0.000         0.000

PSI
SB            IIB           SIB           X             W
________      ________      ________      ________      ________
SB             0.000
IIB            0.000         0.000
SIB            0.000         0.000         0.000
X              0.000         0.000         0.000         0.000
W              0.000         0.000         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 -0.55178783D+04    0.0000000    0.0000000  EM
2 -0.55144995D+04    3.3787785    0.0006123  FS
3 -0.55140938D+04    0.4057705    0.0000736  FS
4 -0.55127223D+04    1.3714619    0.0002487  FS
5 -0.55126338D+04    0.0884734    0.0000160  FS
6 -0.55124040D+04    0.2298068    0.0000417  FS
7 -0.55123184D+04    0.0856427    0.0000155  EM
8 -0.55123149D+04    0.0035144    0.0000006  FS
9 -0.55122867D+04    0.0281315    0.0000051  FS
10 -0.55123196D+04   -0.0329135   -0.0000060  EM

TECHNICAL 9 OUTPUT

Error messages for each replication (if any)

SAVEDATA INFORMATION

Order of variables

U1
U2
U3
U4
X
W
CLUSTER

Save file
ex9.17.dat

Save file format           Free
Save file record length    10000

Beginning Time:  17:20:59
Ending Time:  17:21:10
Elapsed Time:  00:00:11

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