Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:12 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a linear growth
model for a count outcome using a zero-
inflated Poisson model
DATA: FILE IS ex6.7.dat;
VARIABLE: NAMES ARE u11-u14;
COUNT ARE u11-u14 (i);
ANALYSIS: INTEGRATION = 7;
MODEL: i s | u11@0 u12@1 u13@2 u14@3;
ii si | u11#1@0 u12#1@1 u13#1@2 u14#1@3;
s@0 si@0;
OUTPUT: TECH1 TECH8;
*** WARNING in MODEL command
All continuous latent variable covariances involving S have been fixed to 0
because the variance of S is fixed at 0.
*** WARNING in MODEL command
All continuous latent variable covariances involving SI have been fixed to 0
because the variance of SI is fixed at 0.
2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
this is an example of a linear growth
model for a count outcome using a zero-
inflated Poisson model
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 4
Number of independent variables 0
Number of continuous latent variables 4
Observed dependent variables
Count
U11 U12 U13 U14
Continuous latent variables
I S II SI
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 7
Dimensions of numerical integration 2
Adaptive quadrature ON
Cholesky ON
Input data file(s)
ex6.7.dat
Input data format FREE
COUNT PROPORTION OF ZERO, MINIMUM AND MAXIMUM VALUES
U11 0.584 0 10
U12 0.542 0 13
U13 0.532 0 9
U14 0.414 0 11
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 7
Loglikelihood
H0 Value -2778.140
H0 Scaling Correction Factor 0.9932
for MLR
Information Criteria
Akaike (AIC) 5570.280
Bayesian (BIC) 5599.783
Sample-Size Adjusted BIC 5577.564
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit for the Count Outcomes**
Pearson Chi-Square
Value 1914.169
Degrees of Freedom 9973
P-Value 1.0000
Likelihood Ratio Chi-Square
Value 652.658
Degrees of Freedom 9973
P-Value 1.0000
** Of the 10000 cells in the frequency table, 19
were deleted in the calculation of chi-square due to extreme values.
** Large values were truncated at 9.
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
I |
U11 1.000 0.000 999.000 999.000
U12 1.000 0.000 999.000 999.000
U13 1.000 0.000 999.000 999.000
U14 1.000 0.000 999.000 999.000
S |
U11 0.000 0.000 999.000 999.000
U12 1.000 0.000 999.000 999.000
U13 2.000 0.000 999.000 999.000
U14 3.000 0.000 999.000 999.000
II |
U11#1 1.000 0.000 999.000 999.000
U12#1 1.000 0.000 999.000 999.000
U13#1 1.000 0.000 999.000 999.000
U14#1 1.000 0.000 999.000 999.000
SI |
U11#1 0.000 0.000 999.000 999.000
U12#1 1.000 0.000 999.000 999.000
U13#1 2.000 0.000 999.000 999.000
U14#1 3.000 0.000 999.000 999.000
II WITH
I -0.203 0.117 -1.732 0.083
Means
I 0.346 0.068 5.049 0.000
S -0.048 0.024 -2.009 0.045
II 0.000 0.000 999.000 999.000
SI -0.484 0.093 -5.182 0.000
Intercepts
U11#1 -0.162 0.149 -1.088 0.277
U11 0.000 0.000 999.000 999.000
U12#1 -0.162 0.149 -1.088 0.277
U12 0.000 0.000 999.000 999.000
U13#1 -0.162 0.149 -1.088 0.277
U13 0.000 0.000 999.000 999.000
U14#1 -0.162 0.149 -1.088 0.277
U14 0.000 0.000 999.000 999.000
Variances
I 0.386 0.060 6.487 0.000
S 0.000 0.000 999.000 999.000
II 1.189 0.535 2.222 0.026
SI 0.000 0.000 999.000 999.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.251E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
U11#1 U11 U12#1 U12 U13#1
________ ________ ________ ________ ________
1 0 1 0 1
NU
U13 U14#1 U14
________ ________ ________
0 1 0
LAMBDA
I S II SI
________ ________ ________ ________
U11#1 0 0 0 0
U11 0 0 0 0
U12#1 0 0 0 0
U12 0 0 0 0
U13#1 0 0 0 0
U13 0 0 0 0
U14#1 0 0 0 0
U14 0 0 0 0
THETA
U11#1 U11 U12#1 U12 U13#1
________ ________ ________ ________ ________
U11#1 0
U11 0 0
U12#1 0 0 0
U12 0 0 0 0
U13#1 0 0 0 0 0
U13 0 0 0 0 0
U14#1 0 0 0 0 0
U14 0 0 0 0 0
THETA
U13 U14#1 U14
________ ________ ________
U13 0
U14#1 0 0
U14 0 0 0
ALPHA
I S II SI
________ ________ ________ ________
2 3 0 4
BETA
I S II SI
________ ________ ________ ________
I 0 0 0 0
S 0 0 0 0
II 0 0 0 0
SI 0 0 0 0
PSI
I S II SI
________ ________ ________ ________
I 5
S 0 0
II 6 0 7
SI 0 0 0 0
STARTING VALUES
NU
U11#1 U11 U12#1 U12 U13#1
________ ________ ________ ________ ________
-0.632 0.000 -0.632 0.000 -0.632
NU
U13 U14#1 U14
________ ________ ________
0.000 -0.632 0.000
LAMBDA
I S II SI
________ ________ ________ ________
U11#1 0.000 0.000 1.000 0.000
U11 1.000 0.000 0.000 0.000
U12#1 0.000 0.000 1.000 1.000
U12 1.000 1.000 0.000 0.000
U13#1 0.000 0.000 1.000 2.000
U13 1.000 2.000 0.000 0.000
U14#1 0.000 0.000 1.000 3.000
U14 1.000 3.000 0.000 0.000
THETA
U11#1 U11 U12#1 U12 U13#1
________ ________ ________ ________ ________
U11#1 0.000
U11 0.000 0.000
U12#1 0.000 0.000 0.000
U12 0.000 0.000 0.000 0.000
U13#1 0.000 0.000 0.000 0.000 0.000
U13 0.000 0.000 0.000 0.000 0.000
U14#1 0.000 0.000 0.000 0.000 0.000
U14 0.000 0.000 0.000 0.000 0.000
THETA
U13 U14#1 U14
________ ________ ________
U13 0.000
U14#1 0.000 0.000
U14 0.000 0.000 0.000
ALPHA
I S II SI
________ ________ ________ ________
0.986 0.081 0.000 0.000
BETA
I S II SI
________ ________ ________ ________
I 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000
II 0.000 0.000 0.000 0.000
SI 0.000 0.000 0.000 0.000
PSI
I S II SI
________ ________ ________ ________
I 1.951
S 0.000 0.000
II 0.000 0.000 0.050
SI 0.000 0.000 0.000 0.000
TECHNICAL 8 OUTPUT
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.30491433D+04 0.0000000 0.0000000 EM
2 -0.29424493D+04 106.6939988 0.0349915 FS
3 -0.28873149D+04 55.1344522 0.0187376 EM
4 -0.28574871D+04 29.8277830 0.0103306 EM
5 -0.28392288D+04 18.2582611 0.0063896 EM
6 -0.28275446D+04 11.6842638 0.0041153 EM
7 -0.28199142D+04 7.6303366 0.0026986 EM
8 -0.28146865D+04 5.2277618 0.0018539 EM
9 -0.28108371D+04 3.8493499 0.0013676 EM
10 -0.28077922D+04 3.0448845 0.0010833 EM
11 -0.28052525D+04 2.5397188 0.0009045 EM
12 -0.28030643D+04 2.1881692 0.0007800 EM
13 -0.28011486D+04 1.9156982 0.0006834 EM
14 -0.27994638D+04 1.6848284 0.0006015 EM
15 -0.27979836D+04 1.4801574 0.0005287 EM
16 -0.27966834D+04 1.3002904 0.0004647 EM
17 -0.27955328D+04 1.1505876 0.0004114 EM
18 -0.27944964D+04 1.0363337 0.0003707 EM
19 -0.27935382D+04 0.9582793 0.0003429 EM
20 -0.27926266D+04 0.9115774 0.0003263 EM
21 -0.27917394D+04 0.8872093 0.0003177 EM
22 -0.27908651D+04 0.8743166 0.0003132 EM
23 -0.27900025D+04 0.8625176 0.0003091 EM
24 -0.27891585D+04 0.8440035 0.0003025 EM
25 -0.27883434D+04 0.8150898 0.0002922 EM
26 -0.27875669D+04 0.7765124 0.0002785 EM
27 -0.27868348D+04 0.7321198 0.0002626 EM
28 -0.27861482D+04 0.6866175 0.0002464 EM
29 -0.27855046D+04 0.6435859 0.0002310 EM
30 -0.27849000D+04 0.6045825 0.0002170 EM
31 -0.27843307D+04 0.5693540 0.0002044 EM
32 -0.27837940D+04 0.5366709 0.0001927 EM
33 -0.27832888D+04 0.5052166 0.0001815 EM
34 -0.27828146D+04 0.4741518 0.0001704 EM
35 -0.27823714D+04 0.4432582 0.0001593 EM
36 -0.27819586D+04 0.4127774 0.0001484 EM
37 -0.27815755D+04 0.3831379 0.0001377 EM
38 -0.27812207D+04 0.3547200 0.0001275 EM
39 -0.27808930D+04 0.3277289 0.0001178 EM
40 -0.27805908D+04 0.3021724 0.0001087 EM
41 -0.27803129D+04 0.2779115 0.0000999 EM
42 -0.27800582D+04 0.2547432 0.0000916 EM
43 -0.27798257D+04 0.2324804 0.0000836 EM
44 -0.27796147D+04 0.2110097 0.0000759 EM
45 -0.27783378D+04 1.2768611 0.0004594 FS
46 -0.27781471D+04 0.1907271 0.0000686 FS
47 -0.27781386D+04 0.0085245 0.0000031 FS
48 -0.27781402D+04 -0.0015802 -0.0000006 EM
Beginning Time: 23:12:54
Ending Time: 23:12:54
Elapsed Time: 00:00:00
MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA 90066
Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2022 Muthen & Muthen
Back to examples