Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 11:34 PM
INPUT INSTRUCTIONS
Title: web6ex2.inp
Data:
file is web6cross.dat;
Variable:
names = x y3 y4 y1 y2;
usev = x y3 y4 y1 y2 xy;
Define:
xy=x; ! This copies the x variable into xy to
!enable x with eta2;
Analysis:
type = random;
estimator = ml;
Model:
eta1 by y1 y2;
eta2 by y3* y4;
eta2@1;
eta1 on eta2 x;
s | eta1 on x;
s on eta2; s@0; [s@0]; ! This defines s = beta_3*eta
xy with eta2;
!two residual variances go to zero; fix at zero:
y2@0.0001;
y3@0.0001;
Output:
tech1 tech8;
INPUT READING TERMINATED NORMALLY
web6ex2.inp
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 156
Number of dependent variables 5
Number of independent variables 1
Number of continuous latent variables 3
Observed dependent variables
Continuous
Y3 Y4 Y1 Y2 XY
Observed independent variables
X
Continuous latent variables
ETA1 ETA2 S
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 100
Convergence criterion 0.100D-05
Maximum number of EM iterations 500
Convergence criteria for the EM algorithm
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-03
Minimum variance 0.100D-03
Maximum number of steepest descent iterations 20
Optimization algorithm EMA
Input data file(s)
web6cross.dat
Input data format FREE
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Loglikelihood
H0 Value -793.397
Information Criteria
Number of Free Parameters 16
Akaike (AIC) 1618.793
Bayesian (BIC) 1667.591
Sample-Size Adjusted BIC 1616.946
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
ETA1 BY
Y1 1.000 0.000 999.000 999.000
Y2 1.090 0.042 26.219 0.000
ETA2 BY
Y3 0.988 0.056 17.662 0.000
Y4 0.877 0.060 14.584 0.000
ETA1 ON
ETA2 0.369 0.065 5.706 0.000
S ON
ETA2 0.155 0.071 2.172 0.030
ETA1 ON
X 0.100 0.061 1.644 0.100
XY WITH
ETA2 0.038 0.080 0.468 0.639
Means
XY 0.004 0.080 0.047 0.963
Intercepts
Y3 -0.023 0.079 -0.289 0.773
Y4 -0.022 0.078 -0.278 0.781
Y1 -0.056 0.073 -0.769 0.442
Y2 -0.065 0.072 -0.907 0.364
S 0.000 0.000 999.000 999.000
Variances
XY 1.003 0.114 8.831 0.000
ETA2 1.000 0.000 999.000 999.000
Residual Variances
Y3 0.000 0.000 999.000 999.000
Y4 0.180 0.020 8.828 0.000
Y1 0.158 0.018 8.827 0.000
Y2 0.000 0.000 999.000 999.000
ETA1 0.545 0.074 7.323 0.000
S 0.000 0.000 999.000 999.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.594E-04
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y3 Y4 Y1 Y2 XY
________ ________ ________ ________ ________
1 1 2 3 4 0
NU
X
________
1 0
LAMBDA
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
Y3 0 5 0 0 0
Y4 0 6 0 0 0
Y1 0 0 0 0 0
Y2 7 0 0 0 0
XY 0 0 0 0 0
X 0 0 0 0 0
THETA
Y3 Y4 Y1 Y2 XY
________ ________ ________ ________ ________
Y3 0
Y4 0 8
Y1 0 0 9
Y2 0 0 0 0
XY 0 0 0 0 0
X 0 0 0 0 0
THETA
X
________
X 0
ALPHA
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
1 0 0 0 10 0
BETA
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
ETA1 0 11 0 0 12
ETA2 0 0 0 0 0
S 0 13 0 0 0
XY 0 0 0 0 0
X 0 0 0 0 0
PSI
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
ETA1 14
ETA2 0 0
S 0 0 0
XY 0 15 0 16
X 0 0 0 0 0
STARTING VALUES
NU
Y3 Y4 Y1 Y2 XY
________ ________ ________ ________ ________
1 -0.023 -0.022 -0.050 -0.059 0.000
NU
X
________
1 0.000
LAMBDA
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
Y3 0.000 1.000 0.000 0.000 0.000
Y4 0.000 1.000 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
XY 0.000 0.000 0.000 1.000 0.000
X 0.000 0.000 0.000 0.000 1.000
THETA
Y3 Y4 Y1 Y2 XY
________ ________ ________ ________ ________
Y3 0.000
Y4 0.000 0.478
Y1 0.000 0.000 0.430
Y2 0.000 0.000 0.000 0.000
XY 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
THETA
X
________
X 0.000
ALPHA
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.004 0.000
BETA
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
ETA1 0.000 0.000 0.000 0.000 0.000
ETA2 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
XY 0.000 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000 0.000
PSI
ETA1 ETA2 S XY X
________ ________ ________ ________ ________
ETA1 0.050
ETA2 0.000 1.000
S 0.000 0.000 0.000
XY 0.000 0.000 0.000 0.505
X 0.000 0.000 0.000 0.000 0.505
TECHNICAL 8 OUTPUT
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.18861920D+04 0.0000000 0.0000000 EM
2 -0.79579357D+03 1090.3984576 0.5780951 EM
3 -0.79579190D+03 0.0016725 0.0000021 EM
4 -0.79579130D+03 0.0005955 0.0000007 EM
5 -0.79579071D+03 0.0005954 0.0000007 EM
6 -0.79579011D+03 0.0005953 0.0000007 EM
7 -0.79578952D+03 0.0005951 0.0000007 EM
8 -0.79578892D+03 0.0005950 0.0000007 EM
9 -0.79578833D+03 0.0005949 0.0000007 EM
10 -0.79578773D+03 0.0005947 0.0000007 EM
11 -0.79578714D+03 0.0005946 0.0000007 EM
12 -0.79578654D+03 0.0005944 0.0000007 EM
13 -0.79578595D+03 0.0005943 0.0000007 EM
14 -0.79578536D+03 0.0005942 0.0000007 EM
15 -0.79578476D+03 0.0005940 0.0000007 EM
16 -0.79578417D+03 0.0005939 0.0000007 EM
17 -0.79578357D+03 0.0005937 0.0000007 EM
18 -0.79578298D+03 0.0005936 0.0000007 EM
19 -0.79578239D+03 0.0005935 0.0000007 EM
20 -0.79578179D+03 0.0005933 0.0000007 EM
21 -0.79578120D+03 0.0005932 0.0000007 EM
22 -0.79578061D+03 0.0005931 0.0000007 EM
23 -0.79578001D+03 0.0005929 0.0000007 EM
24 -0.79577942D+03 0.0005928 0.0000007 EM
25 -0.79577883D+03 0.0005926 0.0000007 EM
26 -0.79577824D+03 0.0005925 0.0000007 EM
27 -0.79577764D+03 0.0005924 0.0000007 EM
28 -0.79577705D+03 0.0005922 0.0000007 EM
29 -0.79577646D+03 0.0005921 0.0000007 EM
30 -0.79577587D+03 0.0005920 0.0000007 EM
31 -0.79577528D+03 0.0005918 0.0000007 EM
32 -0.79577468D+03 0.0005917 0.0000007 EM
33 -0.79577409D+03 0.0005915 0.0000007 EM
34 -0.79577350D+03 0.0005914 0.0000007 EM
35 -0.79577291D+03 0.0005913 0.0000007 EM
36 -0.79577232D+03 0.0005911 0.0000007 EM
37 -0.79577173D+03 0.0005910 0.0000007 EM
38 -0.79577114D+03 0.0005909 0.0000007 EM
39 -0.79577055D+03 0.0005907 0.0000007 EM
40 -0.79576996D+03 0.0005906 0.0000007 EM
41 -0.79576937D+03 0.0005904 0.0000007 EM
42 -0.79576878D+03 0.0005903 0.0000007 EM
43 -0.79576819D+03 0.0005902 0.0000007 EM
44 -0.79576760D+03 0.0005900 0.0000007 EM
45 -0.79576701D+03 0.0005899 0.0000007 EM
46 -0.79576642D+03 0.0005898 0.0000007 EM
47 -0.79576583D+03 0.0005896 0.0000007 EM
48 -0.79576524D+03 0.0005895 0.0000007 EM
49 -0.79576465D+03 0.0005894 0.0000007 EM
50 -0.79576406D+03 0.0005892 0.0000007 EM
51 -0.79576347D+03 0.0005891 0.0000007 EM
52 -0.79576288D+03 0.0005889 0.0000007 EM
53 -0.79576229D+03 0.0005888 0.0000007 EM
54 -0.79576170D+03 0.0005887 0.0000007 EM
55 -0.79576111D+03 0.0005885 0.0000007 EM
56 -0.79576053D+03 0.0005884 0.0000007 EM
57 -0.79575994D+03 0.0005883 0.0000007 EM
58 -0.79575935D+03 0.0005881 0.0000007 EM
59 -0.79575876D+03 0.0005880 0.0000007 EM
60 -0.79575817D+03 0.0005878 0.0000007 EM
61 -0.79575759D+03 0.0005877 0.0000007 EM
62 -0.79575700D+03 0.0005876 0.0000007 EM
63 -0.79575641D+03 0.0005874 0.0000007 EM
64 -0.79575582D+03 0.0005873 0.0000007 EM
65 -0.79575524D+03 0.0005872 0.0000007 EM
66 -0.79575465D+03 0.0005870 0.0000007 EM
67 -0.79575406D+03 0.0005869 0.0000007 EM
68 -0.79575348D+03 0.0005868 0.0000007 EM
69 -0.79575289D+03 0.0005866 0.0000007 EM
70 -0.79575230D+03 0.0005865 0.0000007 EM
71 -0.79575172D+03 0.0005864 0.0000007 EM
72 -0.79575113D+03 0.0005862 0.0000007 EM
73 -0.79575054D+03 0.0005861 0.0000007 EM
74 -0.79574996D+03 0.0005859 0.0000007 EM
75 -0.79574937D+03 0.0005858 0.0000007 EM
76 -0.79574879D+03 0.0005857 0.0000007 EM
77 -0.79574820D+03 0.0005855 0.0000007 EM
78 -0.79574762D+03 0.0005854 0.0000007 EM
79 -0.79574703D+03 0.0005853 0.0000007 EM
80 -0.79574644D+03 0.0005851 0.0000007 EM
81 -0.79574586D+03 0.0005850 0.0000007 EM
82 -0.79574527D+03 0.0005849 0.0000007 EM
83 -0.79574469D+03 0.0005847 0.0000007 EM
84 -0.79574411D+03 0.0005846 0.0000007 EM
85 -0.79574352D+03 0.0005844 0.0000007 EM
86 -0.79574294D+03 0.0005843 0.0000007 EM
87 -0.79574235D+03 0.0005842 0.0000007 EM
88 -0.79574177D+03 0.0005840 0.0000007 EM
89 -0.79574118D+03 0.0005839 0.0000007 EM
90 -0.79574060D+03 0.0005838 0.0000007 EM
91 -0.79574002D+03 0.0005836 0.0000007 EM
92 -0.79573943D+03 0.0005835 0.0000007 EM
93 -0.79573885D+03 0.0005834 0.0000007 EM
94 -0.79573827D+03 0.0005832 0.0000007 EM
95 -0.79573768D+03 0.0005831 0.0000007 EM
96 -0.79573710D+03 0.0005830 0.0000007 EM
97 -0.79573652D+03 0.0005828 0.0000007 EM
98 -0.79573594D+03 0.0005827 0.0000007 EM
99 -0.79573535D+03 0.0005825 0.0000007 EM
100 -0.79573477D+03 0.0005824 0.0000007 EM
101 -0.79573419D+03 0.0005823 0.0000007 EM
102 -0.79573361D+03 0.0005821 0.0000007 EM
103 -0.79573302D+03 0.0005820 0.0000007 EM
104 -0.79573244D+03 0.0005819 0.0000007 EM
105 -0.79573186D+03 0.0005817 0.0000007 EM
106 -0.79339661D+03 2.3352474 0.0029347 QN
107 -0.79339661D+03 0.0000001 0.0000000 EM
Beginning Time: 23:34:29
Ending Time: 23:34:30
Elapsed Time: 00:00:01
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