Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:12 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a non-linear CFA
DATA: FILE IS ex5.7.dat;
VARIABLE: NAMES ARE y1-y5;
ANALYSIS: TYPE = RANDOM;
ALGORITHM = INTEGRATION;
MODEL: f BY y1-y5;
fxf | f XWITH f;
y1-y5 ON fxf;
OUTPUT: TECH1 TECH8;
INPUT READING TERMINATED NORMALLY
this is an example of a non-linear CFA
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 5
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5
Continuous latent variables
F FXF
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 1
Adaptive quadrature ON
Cholesky OFF
Input data file(s)
ex5.7.dat
Input data format FREE
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
Y1 -0.344 -0.492 -5.882 0.20% -1.500 -0.601 -0.223
500.000 2.221 0.537 3.583 0.20% 0.126 0.931
Y2 -0.302 -0.521 -5.720 0.20% -1.555 -0.501 -0.093
500.000 2.291 0.049 3.152 0.20% 0.263 0.983
Y3 -0.342 -0.347 -5.256 0.20% -1.677 -0.604 -0.206
500.000 2.401 -0.127 3.116 0.20% 0.163 0.964
Y4 -0.398 -0.333 -5.657 0.20% -1.618 -0.705 -0.319
500.000 2.324 0.232 3.426 0.20% -0.002 0.787
Y5 -0.367 -0.407 -5.801 0.20% -1.646 -0.610 -0.223
500.000 2.412 0.163 3.695 0.20% 0.142 0.957
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 20
Loglikelihood
H0 Value -4027.502
H0 Scaling Correction Factor 0.9923
for MLR
Information Criteria
Akaike (AIC) 8095.004
Bayesian (BIC) 8179.296
Sample-Size Adjusted BIC 8115.815
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y1 1.000 0.000 999.000 999.000
Y2 1.050 0.068 15.391 0.000
Y3 1.119 0.092 12.181 0.000
Y4 0.986 0.068 14.469 0.000
Y5 1.093 0.079 13.773 0.000
Y1 ON
FXF -0.253 0.075 -3.399 0.001
Y2 ON
FXF -0.251 0.061 -4.096 0.000
Y3 ON
FXF -0.185 0.042 -4.434 0.000
Y4 ON
FXF -0.203 0.060 -3.400 0.001
Y5 ON
FXF -0.210 0.053 -3.951 0.000
Intercepts
Y1 -0.057 0.095 -0.603 0.547
Y2 -0.018 0.092 -0.201 0.841
Y3 -0.131 0.086 -1.535 0.125
Y4 -0.168 0.089 -1.892 0.058
Y5 -0.129 0.090 -1.423 0.155
Variances
F 1.119 0.143 7.805 0.000
Residual Variances
Y1 0.975 0.079 12.346 0.000
Y2 0.944 0.079 11.914 0.000
Y3 0.945 0.096 9.860 0.000
Y4 1.166 0.087 13.438 0.000
Y5 1.001 0.073 13.756 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.143E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
Y1 0 0 0 0 0
Y2 0 0 0 0 0
Y3 0 0 0 0 0
Y4 0 0 0 0 0
Y5 0 0 0 0 0
LAMBDA
Y4 Y5
________ ________
Y1 0 0
Y2 0 0
Y3 0 0
Y4 0 0
Y5 0 0
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 0
Y2 0 0
Y3 0 0 0
Y4 0 0 0 0
Y5 0 0 0 0 0
ALPHA
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
0 0 1 2 3
ALPHA
Y4 Y5
________ ________
4 5
BETA
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
F 0 0 0 0 0
FXF 0 0 0 0 0
Y1 0 6 0 0 0
Y2 7 8 0 0 0
Y3 9 10 0 0 0
Y4 11 12 0 0 0
Y5 13 14 0 0 0
BETA
Y4 Y5
________ ________
F 0 0
FXF 0 0
Y1 0 0
Y2 0 0
Y3 0 0
Y4 0 0
Y5 0 0
PSI
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
F 15
FXF 0 0
Y1 0 0 16
Y2 0 0 0 17
Y3 0 0 0 0 18
Y4 0 0 0 0 0
Y5 0 0 0 0 0
PSI
Y4 Y5
________ ________
Y4 19
Y5 0 20
STARTING VALUES
NU
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
Y1 0.000 0.000 1.000 0.000 0.000
Y2 0.000 0.000 0.000 1.000 0.000
Y3 0.000 0.000 0.000 0.000 1.000
Y4 0.000 0.000 0.000 0.000 0.000
Y5 0.000 0.000 0.000 0.000 0.000
LAMBDA
Y4 Y5
________ ________
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 1.000 0.000
Y5 0.000 1.000
THETA
Y1 Y2 Y3 Y4 Y5
________ ________ ________ ________ ________
Y1 0.000
Y2 0.000 0.000
Y3 0.000 0.000 0.000
Y4 0.000 0.000 0.000 0.000
Y5 0.000 0.000 0.000 0.000 0.000
ALPHA
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
0.000 0.000 -0.344 -0.302 -0.342
ALPHA
Y4 Y5
________ ________
-0.398 -0.367
BETA
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
F 0.000 0.000 0.000 0.000 0.000
FXF 0.000 0.000 0.000 0.000 0.000
Y1 1.000 0.000 0.000 0.000 0.000
Y2 1.000 0.000 0.000 0.000 0.000
Y3 1.000 0.000 0.000 0.000 0.000
Y4 1.000 0.000 0.000 0.000 0.000
Y5 1.000 0.000 0.000 0.000 0.000
BETA
Y4 Y5
________ ________
F 0.000 0.000
FXF 0.000 0.000
Y1 0.000 0.000
Y2 0.000 0.000
Y3 0.000 0.000
Y4 0.000 0.000
Y5 0.000 0.000
PSI
F FXF Y1 Y2 Y3
________ ________ ________ ________ ________
F 0.050
FXF 0.000 0.000
Y1 0.000 0.000 1.110
Y2 0.000 0.000 0.000 1.145
Y3 0.000 0.000 0.000 0.000 1.200
Y4 0.000 0.000 0.000 0.000 0.000
Y5 0.000 0.000 0.000 0.000 0.000
PSI
Y4 Y5
________ ________
Y4 1.162
Y5 0.000 1.206
TECHNICAL 8 OUTPUT
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.47476518D+04 0.0000000 0.0000000 EM
2 -0.41725074D+04 575.1443611 0.1211429 EM
3 -0.41012680D+04 71.2394032 0.0170735 EM
4 -0.40903412D+04 10.9268305 0.0026643 EM
5 -0.40866071D+04 3.7340326 0.0009129 EM
6 -0.40842517D+04 2.3553734 0.0005764 EM
7 -0.40825566D+04 1.6951845 0.0004151 EM
8 -0.40812876D+04 1.2689866 0.0003108 EM
9 -0.40803111D+04 0.9764860 0.0002393 EM
10 -0.40795396D+04 0.7714860 0.0001891 EM
11 -0.40789134D+04 0.6262006 0.0001535 EM
12 -0.40783908D+04 0.5225578 0.0001281 EM
13 -0.40779425D+04 0.4483569 0.0001099 EM
14 -0.40775473D+04 0.3951804 0.0000969 EM
15 -0.40771902D+04 0.3571142 0.0000876 EM
16 -0.40768603D+04 0.3299386 0.0000809 EM
17 -0.40765496D+04 0.3106213 0.0000762 EM
18 -0.40762526D+04 0.2969991 0.0000729 EM
19 -0.40759651D+04 0.2875367 0.0000705 EM
20 -0.40756840D+04 0.2811393 0.0000690 EM
21 -0.40754069D+04 0.2770195 0.0000680 EM
22 -0.40751323D+04 0.2746106 0.0000674 EM
23 -0.40748588D+04 0.2734983 0.0000671 EM
24 -0.40745855D+04 0.2733764 0.0000671 EM
25 -0.40743114D+04 0.2740233 0.0000673 EM
26 -0.40740362D+04 0.2752738 0.0000676 EM
27 -0.40737592D+04 0.2770050 0.0000680 EM
28 -0.40734800D+04 0.2791229 0.0000685 EM
29 -0.40731985D+04 0.2815624 0.0000691 EM
30 -0.40729142D+04 0.2842657 0.0000698 EM
31 -0.40726270D+04 0.2871944 0.0000705 EM
32 -0.40723367D+04 0.2903148 0.0000713 EM
33 -0.40720431D+04 0.2936083 0.0000721 EM
34 -0.40717460D+04 0.2970504 0.0000729 EM
35 -0.40714454D+04 0.3006283 0.0000738 EM
36 -0.40711411D+04 0.3043302 0.0000747 EM
37 -0.40708330D+04 0.3080478 0.0000757 EM
38 -0.40705209D+04 0.3121313 0.0000767 EM
39 -0.40702048D+04 0.3161175 0.0000777 EM
40 -0.40698846D+04 0.3202276 0.0000787 EM
41 -0.40695601D+04 0.3244380 0.0000797 EM
42 -0.40692314D+04 0.3287384 0.0000808 EM
43 -0.40688982D+04 0.3331307 0.0000819 EM
44 -0.40685606D+04 0.3376113 0.0000830 EM
45 -0.40682185D+04 0.3421756 0.0000841 EM
46 -0.40678716D+04 0.3468246 0.0000853 EM
47 -0.40675201D+04 0.3515580 0.0000864 EM
48 -0.40671637D+04 0.3563752 0.0000876 EM
49 -0.40668024D+04 0.3612758 0.0000888 EM
50 -0.40664362D+04 0.3662591 0.0000901 EM
51 -0.40660648D+04 0.3713244 0.0000913 EM
52 -0.40656884D+04 0.3764708 0.0000926 EM
53 -0.40653067D+04 0.3816977 0.0000939 EM
54 -0.40649197D+04 0.3870039 0.0000952 EM
55 -0.40645273D+04 0.3923889 0.0000965 EM
56 -0.40641294D+04 0.3978520 0.0000979 EM
57 -0.40637260D+04 0.4033933 0.0000993 EM
58 -0.40633170D+04 0.4090122 0.0001006 EM
59 -0.40629023D+04 0.4147071 0.0001021 EM
60 -0.40624818D+04 0.4204746 0.0001035 EM
61 -0.40620555D+04 0.4263105 0.0001049 EM
62 -0.40582114D+04 3.8441599 0.0009464 QN
63 -0.40547675D+04 3.4438753 0.0008486 EM
64 -0.40540691D+04 0.6983881 0.0001722 EM
65 -0.40534894D+04 0.5796962 0.0001430 EM
66 -0.40529356D+04 0.5537682 0.0001366 EM
67 -0.40523871D+04 0.5485119 0.0001353 EM
68 -0.40518376D+04 0.5495217 0.0001356 EM
69 -0.40512849D+04 0.5526930 0.0001364 EM
70 -0.40507283D+04 0.5565975 0.0001374 EM
71 -0.40501676D+04 0.5606786 0.0001384 EM
72 -0.40496030D+04 0.5646573 0.0001394 EM
73 -0.40490346D+04 0.5683841 0.0001404 EM
74 -0.40466114D+04 2.4231626 0.0005985 QN
75 -0.40441819D+04 2.4295540 0.0006004 EM
76 -0.40433470D+04 0.8349200 0.0002064 EM
77 -0.40426832D+04 0.6637599 0.0001642 EM
78 -0.40420787D+04 0.6045144 0.0001495 EM
79 -0.40414986D+04 0.5801213 0.0001435 EM
80 -0.40409310D+04 0.5675209 0.0001404 EM
81 -0.40403722D+04 0.5588311 0.0001383 EM
82 -0.40398210D+04 0.5511843 0.0001364 EM
83 -0.40392775D+04 0.5434950 0.0001345 EM
84 -0.40387422D+04 0.5353309 0.0001325 EM
85 -0.40382157D+04 0.5265101 0.0001304 EM
86 -0.40376987D+04 0.5169709 0.0001280 EM
87 -0.40371920D+04 0.5066951 0.0001255 EM
88 -0.40366963D+04 0.4956903 0.0001228 EM
89 -0.40362124D+04 0.4839827 0.0001199 EM
90 -0.40357409D+04 0.4714431 0.0001168 EM
91 -0.40352822D+04 0.4587160 0.0001137 EM
92 -0.40348372D+04 0.4450251 0.0001103 EM
93 -0.40344063D+04 0.4308720 0.0001068 EM
94 -0.40339901D+04 0.4162468 0.0001032 EM
95 -0.40335889D+04 0.4011944 0.0000995 EM
96 -0.40332031D+04 0.3857783 0.0000956 EM
97 -0.40281239D+04 5.0791688 0.0012593 QN
98 -0.40276777D+04 0.4462067 0.0001108 EM
99 -0.40276129D+04 0.0648539 0.0000161 EM
100 -0.40275775D+04 0.0353254 0.0000088 EM
101 -0.40275561D+04 0.0214475 0.0000053 EM
102 -0.40275421D+04 0.0139923 0.0000035 EM
103 -0.40275324D+04 0.0096569 0.0000024 EM
104 -0.40275255D+04 0.0069705 0.0000017 EM
105 -0.40275202D+04 0.0052185 0.0000013 EM
106 -0.40275162D+04 0.0040241 0.0000010 EM
107 -0.40275130D+04 0.0031802 0.0000008 EM
108 -0.40275105D+04 0.0025647 0.0000006 EM
109 -0.40275084D+04 0.0021036 0.0000005 EM
110 -0.40275066D+04 0.0017502 0.0000004 EM
111 -0.40275051D+04 0.0014736 0.0000004 EM
112 -0.40275039D+04 0.0012531 0.0000003 EM
113 -0.40275028D+04 0.0010743 0.0000003 EM
114 -0.40275019D+04 0.0009274 0.0000002 EM
Beginning Time: 23:12:15
Ending Time: 23:12:15
Elapsed Time: 00:00:00
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