Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:23 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a CFA with censored and count factor indicators
montecarlo:
names = y1-y3 u4-u6;
generate = y1-y3(ca 10) u4-u6(c);
censored = y1-y3(a);
count = u4-u6;
nobs = 500;
nreps = 1;
save = ex5.4.dat;
model montecarlo:
f1 by y1@1 y2-y3*1;
f2 by u4@1 u5-u6*1;
y1-y3*.2;
f1-f2*.8;
[y1-y3*8 u4-u6*.5];
model:
f1 by y1@1 y2-y3*1;
f2 by u4@1 u5-u6*1;
y1-y3*.2;
f1-f2*.8;
[y1-y3*8 u4-u6*.5];
output:
tech8 tech9;
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 replications
Requested 1
Completed 1
Value of seed 0
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
SUMMARY OF CENSORED LIMITS
Y1 10.000
Y2 10.000
Y3 10.000
MODEL FIT INFORMATION
Number of Free Parameters 16
Loglikelihood
H0 Value
Mean -4424.258
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -4424.258 -4424.258
0.980 0.000 -4424.258 -4424.258
0.950 0.000 -4424.258 -4424.258
0.900 0.000 -4424.258 -4424.258
0.800 0.000 -4424.258 -4424.258
0.700 0.000 -4424.258 -4424.258
0.500 0.000 -4424.258 -4424.258
0.300 0.000 -4424.258 -4424.258
0.200 0.000 -4424.258 -4424.258
0.100 0.000 -4424.258 -4424.258
0.050 0.000 -4424.258 -4424.258
0.020 0.000 -4424.258 -4424.258
0.010 0.000 -4424.258 -4424.258
Information Criteria
Akaike (AIC)
Mean 8880.517
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8880.517 8880.517
0.980 0.000 8880.517 8880.517
0.950 0.000 8880.517 8880.517
0.900 0.000 8880.517 8880.517
0.800 0.000 8880.517 8880.517
0.700 0.000 8880.517 8880.517
0.500 0.000 8880.517 8880.517
0.300 0.000 8880.517 8880.517
0.200 0.000 8880.517 8880.517
0.100 0.000 8880.517 8880.517
0.050 0.000 8880.517 8880.517
0.020 0.000 8880.517 8880.517
0.010 0.000 8880.517 8880.517
Bayesian (BIC)
Mean 8947.950
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8947.950 8947.950
0.980 0.000 8947.950 8947.950
0.950 0.000 8947.950 8947.950
0.900 0.000 8947.950 8947.950
0.800 0.000 8947.950 8947.950
0.700 0.000 8947.950 8947.950
0.500 0.000 8947.950 8947.950
0.300 0.000 8947.950 8947.950
0.200 0.000 8947.950 8947.950
0.100 0.000 8947.950 8947.950
0.050 0.000 8947.950 8947.950
0.020 0.000 8947.950 8947.950
0.010 0.000 8947.950 8947.950
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 8897.165
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 8897.165 8897.165
0.980 0.000 8897.165 8897.165
0.950 0.000 8897.165 8897.165
0.900 0.000 8897.165 8897.165
0.800 0.000 8897.165 8897.165
0.700 0.000 8897.165 8897.165
0.500 0.000 8897.165 8897.165
0.300 0.000 8897.165 8897.165
0.200 0.000 8897.165 8897.165
0.100 0.000 8897.165 8897.165
0.050 0.000 8897.165 8897.165
0.020 0.000 8897.165 8897.165
0.010 0.000 8897.165 8897.165
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
F1 BY
Y1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y2 1.000 0.9997 0.0000 0.0370 0.0000 1.000 1.000
Y3 1.000 0.9857 0.0000 0.0381 0.0002 1.000 1.000
F2 BY
U4 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U5 1.000 0.9972 0.0000 0.0471 0.0000 1.000 1.000
U6 1.000 1.0477 0.0000 0.0624 0.0023 1.000 1.000
F2 WITH
F1 0.000 0.0568 0.0000 0.0411 0.0032 1.000 0.000
Intercepts
U4 0.500 0.5842 0.0000 0.0540 0.0071 1.000 1.000
U5 0.500 0.5878 0.0000 0.0548 0.0077 1.000 1.000
U6 0.500 0.5754 0.0000 0.0561 0.0057 1.000 1.000
Y1 8.000 8.0268 0.0000 0.0437 0.0007 1.000 1.000
Y2 8.000 8.0461 0.0000 0.0433 0.0021 1.000 1.000
Y3 8.000 7.9934 0.0000 0.0436 0.0000 1.000 1.000
Variances
F1 0.800 0.7607 0.0000 0.0540 0.0015 1.000 1.000
F2 0.800 0.7341 0.0000 0.0810 0.0043 1.000 1.000
Residual Variances
Y1 0.200 0.1920 0.0000 0.0185 0.0001 1.000 1.000
Y2 0.200 0.1776 0.0000 0.0187 0.0005 1.000 1.000
Y3 0.200 0.2092 0.0000 0.0200 0.0001 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average 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 0.500 -20.000 0.500 -20.000
NU
U6 Y1#1 Y1 Y2#1 Y2
________ ________ ________ ________ ________
0.500 -20.000 8.000 -20.000 8.000
NU
Y3#1 Y3
________ ________
-20.000 8.000
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 0.200
Y2#1 0.000 0.000 0.000 0.000
Y2 0.000 0.000 0.000 0.000 0.200
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 0.200
ALPHA
F1 F2
________ ________
0.000 0.000
BETA
F1 F2
________ ________
F1 0.000 0.000
F2 0.000 0.000
PSI
F1 F2
________ ________
F1 0.800
F2 0.000 0.800
POPULATION VALUES
NU
U4#1 U4 U5#1 U5 U6#1
________ ________ ________ ________ ________
-20.000 0.500 -20.000 0.500 -20.000
NU
U6 Y1#1 Y1 Y2#1 Y2
________ ________ ________ ________ ________
0.500 -20.000 8.000 -20.000 8.000
NU
Y3#1 Y3
________ ________
-20.000 8.000
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 0.200
Y2#1 0.000 0.000 0.000 0.000
Y2 0.000 0.000 0.000 0.000 0.200
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 0.200
ALPHA
F1 F2
________ ________
0.000 0.000
BETA
F1 F2
________ ________
F1 0.000 0.000
F2 0.000 0.000
PSI
F1 F2
________ ________
F1 0.800
F2 0.000 0.800
TECHNICAL 8 OUTPUT
TECHNICAL 8 OUTPUT FOR REPLICATION 1
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.44365497D+04 0.0000000 0.0000000 EM
2 -0.44261365D+04 10.4131402 0.0023471 FS
3 -0.44247787D+04 1.3578261 0.0003068 FS
4 -0.44245548D+04 0.2238433 0.0000506 FS
5 -0.44244653D+04 0.0895552 0.0000202 FS
6 -0.44244253D+04 0.0399799 0.0000090 FS
7 -0.44243935D+04 0.0318496 0.0000072 FS
8 -0.44243732D+04 0.0203033 0.0000046 FS
9 -0.44243539D+04 0.0192834 0.0000044 FS
10 -0.44243412D+04 0.0126638 0.0000029 FS
11 -0.44243285D+04 0.0127455 0.0000029 FS
12 -0.44243199D+04 0.0085612 0.0000019 FS
13 -0.44243111D+04 0.0088065 0.0000020 FS
14 -0.44243050D+04 0.0060887 0.0000014 FS
15 -0.44242987D+04 0.0062923 0.0000014 FS
16 -0.44242942D+04 0.0044840 0.0000010 FS
17 -0.44242896D+04 0.0046107 0.0000010 FS
18 -0.44242862D+04 0.0033850 0.0000008 FS
19 -0.44242828D+04 0.0034434 0.0000008 FS
20 -0.44242802D+04 0.0026006 0.0000006 FS
21 -0.44242776D+04 0.0026093 0.0000006 FS
22 -0.44242756D+04 0.0020243 0.0000005 FS
23 -0.44242736D+04 0.0019989 0.0000005 FS
24 -0.44242720D+04 0.0015910 0.0000004 FS
25 -0.44242704D+04 0.0015445 0.0000003 FS
26 -0.44242692D+04 0.0012597 0.0000003 FS
27 -0.44242680D+04 0.0012013 0.0000003 FS
28 -0.44242670D+04 0.0010030 0.0000002 FS
29 -0.44242660D+04 0.0009392 0.0000002 FS
30 -0.44242652D+04 0.0008021 0.0000002 FS
31 -0.44242645D+04 0.0007372 0.0000002 FS
32 -0.44242638D+04 0.0006437 0.0000001 FS
33 -0.44242633D+04 0.0005805 0.0000001 FS
34 -0.44242627D+04 0.0005180 0.0000001 FS
35 -0.44242623D+04 0.0004582 0.0000001 FS
36 -0.44242619D+04 0.0004178 0.0000001 FS
37 -0.44242615D+04 0.0003623 0.0000001 FS
38 -0.44242612D+04 0.0003376 0.0000001 FS
39 -0.44242609D+04 0.0002868 0.0000001 FS
40 -0.44242606D+04 0.0002733 0.0000001 FS
41 -0.44242604D+04 0.0002272 0.0000001 FS
42 -0.44242602D+04 0.0002215 0.0000001 FS
43 -0.44242600D+04 0.0001801 0.0000000 FS
44 -0.44242598D+04 0.0001798 0.0000000 FS
45 -0.44242596D+04 0.0001427 0.0000000 FS
46 -0.44242595D+04 0.0001461 0.0000000 FS
47 -0.44242594D+04 0.0001131 0.0000000 FS
48 -0.44242593D+04 0.0001189 0.0000000 FS
49 -0.44242592D+04 0.0000896 0.0000000 FS
50 -0.44242591D+04 0.0000969 0.0000000 FS
51 -0.44242590D+04 0.0000708 0.0000000 FS
52 -0.44242589D+04 0.0000790 0.0000000 FS
53 -0.44242589D+04 0.0000560 0.0000000 FS
54 -0.44242588D+04 0.0000646 0.0000000 FS
55 -0.44242584D+04 0.0004502 0.0000001 EM
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
U4
U5
U6
Y1
Y2
Y3
Save file
ex5.4.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:23:33
Ending Time: 22:23:40
Elapsed Time: 00:00:07
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