Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:11 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a CFA with censored
and count factor indicators
DATA: FILE IS ex5.4.dat;
VARIABLE: NAMES ARE u4-u6 y1-y3;
CENSORED ARE y1-y3 (a);
COUNT ARE u4-u6;
MODEL: f1 BY y1-y3;
f2 BY u4-u6;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a CFA with censored
and count factor indicators
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 6
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Censored
Y1 Y2 Y3
Count
U4 U5 U6
Continuous latent variables
F1 F2
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 15
Dimensions of numerical integration 2
Adaptive quadrature ON
Cholesky ON
Input data file(s)
ex5.4.dat
Input data format FREE
SUMMARY OF CENSORED LIMITS
Y1 10.000
Y2 10.000
Y3 10.000
COUNT PROPORTION OF ZERO, MINIMUM AND MAXIMUM VALUES
U4 0.210 0 35
U5 0.240 0 25
U6 0.238 0 25
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 16
Loglikelihood
H0 Value -4424.258
H0 Scaling Correction Factor 1.0136
for MLR
Information Criteria
Akaike (AIC) 8880.517
Bayesian (BIC) 8947.950
Sample-Size Adjusted BIC 8897.165
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F1 BY
Y1 1.000 0.000 999.000 999.000
Y2 1.000 0.037 27.004 0.000
Y3 0.986 0.038 25.845 0.000
F2 BY
U4 1.000 0.000 999.000 999.000
U5 0.998 0.047 21.136 0.000
U6 1.048 0.062 16.780 0.000
F2 WITH
F1 0.057 0.041 1.384 0.166
Intercepts
U4 0.584 0.054 10.829 0.000
U5 0.588 0.055 10.726 0.000
U6 0.575 0.056 10.263 0.000
Y1 8.027 0.044 183.807 0.000
Y2 8.046 0.043 185.688 0.000
Y3 7.993 0.044 183.449 0.000
Variances
F1 0.761 0.054 14.073 0.000
F2 0.733 0.081 9.057 0.000
Residual Variances
Y1 0.192 0.019 10.350 0.000
Y2 0.178 0.019 9.506 0.000
Y3 0.209 0.020 10.476 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.344E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
U4#1 U4 U5#1 U5 U6#1
________ ________ ________ ________ ________
0 1 0 2 0
NU
U6 Y1#1 Y1 Y2#1 Y2
________ ________ ________ ________ ________
3 0 4 0 5
NU
Y3#1 Y3
________ ________
0 6
LAMBDA
F1 F2
________ ________
U4#1 0 0
U4 0 0
U5#1 0 0
U5 0 7
U6#1 0 0
U6 0 8
Y1#1 0 0
Y1 0 0
Y2#1 0 0
Y2 9 0
Y3#1 0 0
Y3 10 0
THETA
U4#1 U4 U5#1 U5 U6#1
________ ________ ________ ________ ________
U4#1 0
U4 0 0
U5#1 0 0 0
U5 0 0 0 0
U6#1 0 0 0 0 0
U6 0 0 0 0 0
Y1#1 0 0 0 0 0
Y1 0 0 0 0 0
Y2#1 0 0 0 0 0
Y2 0 0 0 0 0
Y3#1 0 0 0 0 0
Y3 0 0 0 0 0
THETA
U6 Y1#1 Y1 Y2#1 Y2
________ ________ ________ ________ ________
U6 0
Y1#1 0 0
Y1 0 0 11
Y2#1 0 0 0 0
Y2 0 0 0 0 12
Y3#1 0 0 0 0 0
Y3 0 0 0 0 0
THETA
Y3#1 Y3
________ ________
Y3#1 0
Y3 0 13
ALPHA
F1 F2
________ ________
0 0
BETA
F1 F2
________ ________
F1 0 0
F2 0 0
PSI
F1 F2
________ ________
F1 14
F2 15 16
STARTING VALUES
NU
U4#1 U4 U5#1 U5 U6#1
________ ________ ________ ________ ________
-20.000 1.709 -20.000 1.687 -20.000
NU
U6 Y1#1 Y1 Y2#1 Y2
________ ________ ________ ________ ________
1.765 -20.000 8.023 -20.000 8.042
NU
Y3#1 Y3
________ ________
-20.000 7.989
LAMBDA
F1 F2
________ ________
U4#1 0.000 0.000
U4 0.000 1.000
U5#1 0.000 0.000
U5 0.000 1.000
U6#1 0.000 0.000
U6 0.000 1.000
Y1#1 0.000 0.000
Y1 1.000 0.000
Y2#1 0.000 0.000
Y2 1.000 0.000
Y3#1 0.000 0.000
Y3 1.000 0.000
THETA
U4#1 U4 U5#1 U5 U6#1
________ ________ ________ ________ ________
U4#1 0.000
U4 0.000 0.000
U5#1 0.000 0.000 0.000
U5 0.000 0.000 0.000 0.000
U6#1 0.000 0.000 0.000 0.000 0.000
U6 0.000 0.000 0.000 0.000 0.000
Y1#1 0.000 0.000 0.000 0.000 0.000
Y1 0.000 0.000 0.000 0.000 0.000
Y2#1 0.000 0.000 0.000 0.000 0.000
Y2 0.000 0.000 0.000 0.000 0.000
Y3#1 0.000 0.000 0.000 0.000 0.000
Y3 0.000 0.000 0.000 0.000 0.000
THETA
U6 Y1#1 Y1 Y2#1 Y2
________ ________ ________ ________ ________
U6 0.000
Y1#1 0.000 0.000
Y1 0.000 0.000 0.468
Y2#1 0.000 0.000 0.000 0.000
Y2 0.000 0.000 0.000 0.000 0.460
Y3#1 0.000 0.000 0.000 0.000 0.000
Y3 0.000 0.000 0.000 0.000 0.000
THETA
Y3#1 Y3
________ ________
Y3#1 0.000
Y3 0.000 0.464
ALPHA
F1 F2
________ ________
0.000 0.000
BETA
F1 F2
________ ________
F1 0.000 0.000
F2 0.000 0.000
PSI
F1 F2
________ ________
F1 0.050
F2 0.000 0.050
TECHNICAL 8 OUTPUT
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.65690824D+04 0.0000000 0.0000000 EM
2 -0.63061388D+04 262.9435747 0.0400274 FS
3 -0.59788863D+04 327.2525311 0.0518943 FS
4 -0.56664952D+04 312.3910382 0.0522490 FS
5 -0.53790605D+04 287.4347631 0.0507253 FS
6 -0.51206255D+04 258.4349500 0.0480446 FS
7 -0.48965107D+04 224.1147961 0.0437671 FS
8 -0.47127476D+04 183.7630853 0.0375294 FS
9 -0.45755838D+04 137.1638504 0.0291049 FS
10 -0.44886275D+04 86.9563001 0.0190044 FS
11 -0.44464570D+04 42.1705167 0.0093950 FS
12 -0.44315079D+04 14.9490970 0.0033620 FS
13 -0.44266652D+04 4.8426635 0.0010928 FS
14 -0.44249753D+04 1.6899422 0.0003818 FS
15 -0.44244413D+04 0.5339868 0.0001207 FS
16 -0.44243004D+04 0.1409175 0.0000318 FS
17 -0.44242675D+04 0.0328974 0.0000074 FS
18 -0.44242602D+04 0.0072254 0.0000016 FS
19 -0.44242587D+04 0.0015443 0.0000003 FS
20 -0.44242584D+04 0.0003250 0.0000001 FS
Beginning Time: 23:11:29
Ending Time: 23:11:30
Elapsed Time: 00:00:01
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