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 censored outcome using a
censored-inflated model
DATA: FILE IS ex6.3.dat;
VARIABLE: NAMES ARE y11-y14;
CENSORED ARE y11-y14 (bi);
ANALYSIS: INTEGRATION = 7;
MODEL: i s | y11@0 y12@1 y13@2 y14@3;
ii si | y11#1@0 y12#1@1 y13#1@2 y14#1@3;
si@0;
OUTPUT: TECH1 TECH8;
*** 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.
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
this is an example of a linear growth
model for a censored outcome using a
censored-inflated model
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1000
Number of dependent variables 4
Number of independent variables 0
Number of continuous latent variables 4
Observed dependent variables
Censored
Y11 Y12 Y13 Y14
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 3
Adaptive quadrature ON
Cholesky ON
Input data file(s)
ex6.3.dat
Input data format FREE
SUMMARY OF CENSORED LIMITS
Y11 0.000
Y12 0.000
Y13 0.000
Y14 0.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 14
Loglikelihood
H0 Value -8014.921
H0 Scaling Correction Factor 0.9616
for MLR
Information Criteria
Akaike (AIC) 16057.841
Bayesian (BIC) 16126.550
Sample-Size Adjusted BIC 16082.085
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
I |
Y11 1.000 0.000 999.000 999.000
Y12 1.000 0.000 999.000 999.000
Y13 1.000 0.000 999.000 999.000
Y14 1.000 0.000 999.000 999.000
S |
Y11 0.000 0.000 999.000 999.000
Y12 1.000 0.000 999.000 999.000
Y13 2.000 0.000 999.000 999.000
Y14 3.000 0.000 999.000 999.000
II |
Y11#1 1.000 0.000 999.000 999.000
Y12#1 1.000 0.000 999.000 999.000
Y13#1 1.000 0.000 999.000 999.000
Y14#1 1.000 0.000 999.000 999.000
SI |
Y11#1 0.000 0.000 999.000 999.000
Y12#1 1.000 0.000 999.000 999.000
Y13#1 2.000 0.000 999.000 999.000
Y14#1 3.000 0.000 999.000 999.000
S WITH
I 0.104 0.053 1.959 0.050
II WITH
I 0.025 0.098 0.258 0.797
S 0.035 0.057 0.620 0.535
Means
I 3.610 0.055 65.599 0.000
S 1.519 0.030 51.361 0.000
II 0.000 0.000 999.000 999.000
SI 0.017 0.035 0.495 0.621
Intercepts
Y11#1 -1.396 0.080 -17.469 0.000
Y11 0.000 0.000 999.000 999.000
Y12#1 -1.396 0.080 -17.469 0.000
Y12 0.000 0.000 999.000 999.000
Y13#1 -1.396 0.080 -17.469 0.000
Y13 0.000 0.000 999.000 999.000
Y14#1 -1.396 0.080 -17.469 0.000
Y14 0.000 0.000 999.000 999.000
Variances
I 1.095 0.134 8.199 0.000
S 0.336 0.040 8.401 0.000
II 0.981 0.146 6.738 0.000
SI 0.000 0.000 999.000 999.000
Residual Variances
Y11 1.424 0.139 10.239 0.000
Y12 1.519 0.101 15.110 0.000
Y13 1.648 0.123 13.434 0.000
Y14 1.215 0.211 5.755 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.101E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y11#1 Y11 Y12#1 Y12 Y13#1
________ ________ ________ ________ ________
1 0 1 0 1
NU
Y13 Y14#1 Y14
________ ________ ________
0 1 0
LAMBDA
I S II SI
________ ________ ________ ________
Y11#1 0 0 0 0
Y11 0 0 0 0
Y12#1 0 0 0 0
Y12 0 0 0 0
Y13#1 0 0 0 0
Y13 0 0 0 0
Y14#1 0 0 0 0
Y14 0 0 0 0
THETA
Y11#1 Y11 Y12#1 Y12 Y13#1
________ ________ ________ ________ ________
Y11#1 0
Y11 0 2
Y12#1 0 0 0
Y12 0 0 0 3
Y13#1 0 0 0 0 0
Y13 0 0 0 0 0
Y14#1 0 0 0 0 0
Y14 0 0 0 0 0
THETA
Y13 Y14#1 Y14
________ ________ ________
Y13 4
Y14#1 0 0
Y14 0 0 5
ALPHA
I S II SI
________ ________ ________ ________
6 7 0 8
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 9
S 10 11
II 12 13 14
SI 0 0 0 0
STARTING VALUES
NU
Y11#1 Y11 Y12#1 Y12 Y13#1
________ ________ ________ ________ ________
-1.129 0.000 -1.129 0.000 -1.129
NU
Y13 Y14#1 Y14
________ ________ ________
0.000 -1.129 0.000
LAMBDA
I S II SI
________ ________ ________ ________
Y11#1 0.000 0.000 1.000 0.000
Y11 1.000 0.000 0.000 0.000
Y12#1 0.000 0.000 1.000 1.000
Y12 1.000 1.000 0.000 0.000
Y13#1 0.000 0.000 1.000 2.000
Y13 1.000 2.000 0.000 0.000
Y14#1 0.000 0.000 1.000 3.000
Y14 1.000 3.000 0.000 0.000
THETA
Y11#1 Y11 Y12#1 Y12 Y13#1
________ ________ ________ ________ ________
Y11#1 0.000
Y11 0.000 2.056
Y12#1 0.000 0.000 0.000
Y12 0.000 0.000 0.000 3.728
Y13#1 0.000 0.000 0.000 0.000 0.000
Y13 0.000 0.000 0.000 0.000 0.000
Y14#1 0.000 0.000 0.000 0.000 0.000
Y14 0.000 0.000 0.000 0.000 0.000
THETA
Y13 Y14#1 Y14
________ ________ ________
Y13 5.882
Y14#1 0.000 0.000
Y14 0.000 0.000 8.066
ALPHA
I S II SI
________ ________ ________ ________
2.716 1.161 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 4.029
S 0.000 1.816
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 -0.88199514D+04 0.0000000 0.0000000 EM
2 -0.82595974D+04 560.3540175 0.0635326 EM
3 -0.81467821D+04 112.8153618 0.0136587 EM
4 -0.80934609D+04 53.3211362 0.0065451 EM
5 -0.80694766D+04 23.9843177 0.0029634 EM
6 -0.80518419D+04 17.6346638 0.0021854 EM
7 -0.80392953D+04 12.5466177 0.0015582 EM
8 -0.80309758D+04 8.3195272 0.0010349 EM
9 -0.80256900D+04 5.2857632 0.0006582 EM
10 -0.80223412D+04 3.3488216 0.0004173 EM
11 -0.80201680D+04 2.1732224 0.0002709 EM
12 -0.80187101D+04 1.4579005 0.0001818 EM
13 -0.80177018D+04 1.0082853 0.0001257 EM
14 -0.80169880D+04 0.7138162 0.0000890 EM
15 -0.80164742D+04 0.5137710 0.0000641 EM
16 -0.80161001D+04 0.3740928 0.0000467 EM
17 -0.80158254D+04 0.2747073 0.0000343 EM
18 -0.80156223D+04 0.2030946 0.0000253 EM
19 -0.80154713D+04 0.1510506 0.0000188 EM
20 -0.80153583D+04 0.1129953 0.0000141 EM
21 -0.80152732D+04 0.0850359 0.0000106 EM
22 -0.80152088D+04 0.0644108 0.0000080 EM
23 -0.80151597D+04 0.0491396 0.0000061 EM
24 -0.80151219D+04 0.0377911 0.0000047 EM
25 -0.80150926D+04 0.0293259 0.0000037 EM
26 -0.80150696D+04 0.0229860 0.0000029 EM
27 -0.80150514D+04 0.0182169 0.0000023 EM
28 -0.80150368D+04 0.0146116 0.0000018 EM
29 -0.80150249D+04 0.0118711 0.0000015 EM
30 -0.80150151D+04 0.0097751 0.0000012 EM
31 -0.80150069D+04 0.0081606 0.0000010 EM
32 -0.80150000D+04 0.0069072 0.0000009 EM
33 -0.80149941D+04 0.0059255 0.0000007 EM
34 -0.80149890D+04 0.0051489 0.0000006 EM
35 -0.80149844D+04 0.0045280 0.0000006 EM
36 -0.80149804D+04 0.0040258 0.0000005 EM
37 -0.80149768D+04 0.0036146 0.0000005 EM
38 -0.80149735D+04 0.0032737 0.0000004 EM
39 -0.80149705D+04 0.0029874 0.0000004 EM
40 -0.80149678D+04 0.0027440 0.0000003 EM
41 -0.80149653D+04 0.0025343 0.0000003 EM
42 -0.80149629D+04 0.0023517 0.0000003 EM
43 -0.80149607D+04 0.0021909 0.0000003 EM
44 -0.80149587D+04 0.0020479 0.0000003 EM
45 -0.80149568D+04 0.0019196 0.0000002 EM
46 -0.80149549D+04 0.0018035 0.0000002 EM
47 -0.80149389D+04 0.0160016 0.0000020 FS
48 -0.80149186D+04 0.0203669 0.0000025 FS
49 -0.80149207D+04 -0.0021312 -0.0000003 EM
Beginning Time: 23:12:31
Ending Time: 23:12:50
Elapsed Time: 00:00:19
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