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DATE: 11/26/2012
TIME: 14:11
L I S R E L 9.10 (STUDENT)
BY
Karl G. Jreskog & Dag Srbom
This program is published exclusively by
Scientific Software International, Inc.
http://www.ssicentral.com
Copyright by Scientific Software International, Inc., 1981-2012
Use of this program is subject to the terms specified in the
Universal Copyright Convention.
The following lines were read from file C:\Users\Sacha\Documents\lisrel\mi1.lis:
title groups
da No=1868 ni=4 ng=2
cm sy
8.24
2.84 8.47
3.54 3.24 9.06
2.55 2.40 2.86 9.36
Me
10.41 10.37 10.73 10.41
la
pc pa oa ma
mo ly=fu,fr ps=sy,fr te=sy,fr ne=1 ny=4 ty=fu,fr al=fu,fi
le
perfIQ
pa ly
0 2 3 4
ma ly
1 0 0 0
ma al
0
pa ps
1
pa te
1
0 1
0 0 1
0 0 0 1
! pa ty
! 21 22 23 24
ou
groups
Number of Input Variables 4
Number of Y - Variables 4
Number of X - Variables 0
Number of ETA - Variables 1
Number of KSI - Variables 0
Number of Observations 305
Number of Groups 2
title N=305 Group 2
da no=305 ni=4
cm sy
9.18
3.40 9.18
4.39 3.68 8.76
3.51 3.12 1.81 10.37
Me
8.12 8.10 7.89 8.39
la
pc pa oa ma
mo ly=fu,fr ps=sy,fr te=sy,fr ne=1 ny=4 ty=in al=fu,fr
! note ty=in
le
perfIQ
pa ly
0 2 3 4
ma ly
1 0 0 0
ma al
-2
pa al ! estimate the mean in group 2. this parameter is the mean difference!
1
pa te
1
0 1
0 0 1
0 0 0 1
! pa ty ! i used ty=in on the mo line. parameter number is an alternative
! 21 22 23 24
ou mi
title N=305 Group 2
Number of Input Variables 4
Number of Y - Variables 4
Number of X - Variables 0
Number of ETA - Variables 1
Number of KSI - Variables 0
Number of Observations 305
Number of Groups 2
groups
Covariance Matrix
pc pa oa ma
-------- -------- -------- --------
pc 8.240
pa 2.840 8.470
oa 3.540 3.240 9.060
ma 2.550 2.400 2.860 9.360
Total Variance = 35.130 Generalized Variance = 3453.917
Largest Eigenvalue = 17.538 Smallest Eigenvalue = 5.085
Condition Number = 1.857
Means
pc pa oa ma
-------- -------- -------- --------
10.410 10.370 10.730 10.410
title N=305 Group 2
Covariance Matrix
pc pa oa ma
-------- -------- -------- --------
pc 9.180
pa 3.400 9.180
oa 4.390 3.680 8.760
ma 3.510 3.120 1.810 10.370
Total Variance = 37.490 Generalized Variance = 3827.891
Largest Eigenvalue = 19.362 Smallest Eigenvalue = 4.152
Condition Number = 2.159
Means
pc pa oa ma
-------- -------- -------- --------
8.120 8.100 7.890 8.390
groups
Parameter Specifications
LAMBDA-Y EQUALS LAMBDA-Y IN THE FOLLOWING GROUP
PSI
perfIQ
--------
4
THETA-EPS
pc pa oa ma
-------- -------- -------- --------
5 6 7 8
TAU-Y EQUALS TAU-Y IN THE FOLLOWING GROUP
title N=305 Group 2
Parameter Specifications
LAMBDA-Y
perfIQ
--------
pc 0
pa 1
oa 2
ma 3
PSI
perfIQ
--------
13
THETA-EPS
pc pa oa ma
-------- -------- -------- --------
14 15 16 17
TAU-Y
pc pa oa ma
-------- -------- -------- --------
9 10 11 12
ALPHA
perfIQ
--------
18
groups
Number of Iterations = 7
LISREL Estimates (Maximum Likelihood)
LAMBDA-Y EQUALS LAMBDA-Y IN THE FOLLOWING GROUP
Covariance Matrix of ETA
perfIQ
--------
3.210
PSI
perfIQ
--------
3.210
(0.477)
6.728
THETA-EPS
pc pa oa ma
-------- -------- -------- --------
5.088 5.787 5.150 7.311
(0.542) (0.570) (0.584) (0.658)
9.393 10.158 8.817 11.109
Squared Multiple Correlations for Y - Variables
pc pa oa ma
-------- -------- -------- --------
0.387 0.321 0.429 0.213
TAU-Y EQUALS TAU-Y IN THE FOLLOWING GROUP
Log-likelihood Values
Estimated Model Saturated Model
--------------- ---------------
Number of free parameters(t) 18 14
-2ln(L) 7448.841 7428.988
AIC (Akaike, 1974)* 7484.841 7456.988
BIC (Schwarz, 1978)* 7564.254 7518.753
*LISREL uses AIC= 2t - 2ln(L) and BIC = tln(N)- 2ln(L)
Group Goodness of Fit Statistics
Contribution to Chi-Square 6.075
Percentage Contribution to Chi-Square 30.601
Root Mean Square Residual (RMR) 0.0661
Standardized RMR 0.00754
Goodness of Fit Index (GFI) 1.00
groups
Modification Indices and Expected Change
Modification Indices for LAMBDA-Y
perfIQ
--------
pc 0.047
pa 0.040
oa 0.033
ma 0.078
Expected Change for LAMBDA-Y
perfIQ
--------
pc -0.031
pa -0.021
oa 0.022
ma 0.029
No Non-Zero Modification Indices for PSI
Modification Indices for THETA-EPS
pc pa oa ma
-------- -------- -------- --------
pc - -
pa 0.107 - -
oa 0.009 0.000 - -
ma - - 0.030 0.013 - -
Expected Change for THETA-EPS
pc pa oa ma
-------- -------- -------- --------
pc - -
pa -0.146 - -
oa 0.047 -0.003 - -
ma - - 0.079 0.053 - -
Modification Indices for TAU-Y
pc pa oa ma
-------- -------- -------- --------
2.641 0.005 1.599 0.258
Expected Change for TAU-Y
pc pa oa ma
-------- -------- -------- --------
-0.091 -0.004 0.067 0.039
No Non-Zero Modification Indices for ALPHA
title N=305 Group 2
Number of Iterations = 7
LISREL Estimates (Maximum Likelihood)
LAMBDA-Y
perfIQ
--------
pc 1.000
pa 0.923
(0.070)
13.097
oa 1.098
(0.077)
14.253
ma 0.784
(0.071)
11.064
Covariance Matrix of ETA
perfIQ
--------
3.693
Mean Vector of Eta-Variables
perfIQ
--------
-2.469
PSI
perfIQ
--------
3.693
(0.530)
6.964
THETA-EPS
pc pa oa ma
-------- -------- -------- --------
5.006 5.963 4.681 8.356
(0.543) (0.588) (0.564) (0.743)
9.215 10.147 8.302 11.242
Squared Multiple Correlations for Y - Variables
pc pa oa ma
-------- -------- -------- --------
0.425 0.345 0.488 0.214
TAU-Y
pc pa oa ma
-------- -------- -------- --------
10.500 10.374 10.663 10.371
(0.155) (0.155) (0.164) (0.157)
67.597 67.101 65.159 65.999
ALPHA
perfIQ
--------
-2.469
(0.209)
-11.825
Log-likelihood Values
Estimated Model Saturated Model
--------------- ---------------
Number of free parameters(t) 18 14
-2ln(L) 7448.841 7428.988
AIC (Akaike, 1974)* 7484.841 7456.988
BIC (Schwarz, 1978)* 7564.254 7518.753
*LISREL uses AIC= 2t - 2ln(L) and BIC = tln(N)- 2ln(L)
Global Goodness of Fit Statistics
Degrees of Freedom for (C1)-(C2) 10
Maximum Likelihood Ratio Chi-Square (C1) 19.853 (P = 0.0307)
Browne's (1984) ADF Chi-Square (C2_NT) -19927.496 (P = 0.0000)
Estimated Non-centrality Parameter (NCP) 9.853
90 Percent Confidence Interval for NCP (0.863 ; 26.584)
Minimum Fit Function Value 0.0326
Population Discrepancy Function Value (F0) 0.0162
90 Percent Confidence Interval for F0 (0.00142 ; 0.0437)
Root Mean Square Error of Approximation (RMSEA) 0.0569
90 Percent Confidence Interval for RMSEA (0.0168 ; 0.0934)
P-Value for Test of Close Fit (RMSEA < 0.05) 0.336
Expected Cross-Validation Index (ECVI) 0.0917
90 Percent Confidence Interval for ECVI (0.0638 ; 0.106)
ECVI for Saturated Model 0.0328
ECVI for Independence Model 0.756
Chi-Square for Independence Model (12 df) 452.673
Normed Fit Index (NFI) 45.094
Non-Normed Fit Index (NNFI) 55.384
Parsimony Normed Fit Index (PNFI) 37.579
Comparative Fit Index (CFI) 1.000
Incremental Fit Index (IFI) 46.115
Relative Fit Index (RFI) 53.913
Critical N (CN) 0.292
Group Goodness of Fit Statistics
Contribution to Chi-Square 6.156
Percentage Contribution to Chi-Square 31.008
Root Mean Square Residual (RMR) 0.548
Standardized RMR 0.0568
Goodness of Fit Index (GFI) 0.974
title N=305 Group 2
Modification Indices and Expected Change
Modification Indices for LAMBDA-Y
perfIQ
--------
pc 0.046
pa 24.536
oa -0.099
ma 0.173
Expected Change for LAMBDA-Y
perfIQ
--------
pc 0.031
pa 3.996
oa 0.015
ma -0.035
No Non-Zero Modification Indices for PSI
Modification Indices for THETA-EPS
pc pa oa ma
-------- -------- -------- --------
pc - -
pa 1.634 - -
oa 2.337 0.072 - -
ma 4.045 2.824 16.503 - -
Expected Change for THETA-EPS
pc pa oa ma
-------- -------- -------- --------
pc - -
pa -0.590 - -
oa 0.786 0.131 - -
ma 0.958 0.817 -2.009 - -
Modification Indices for TAU-Y
pc pa oa ma
-------- -------- -------- --------
-3.923 -0.001 0.100 -0.086
Expected Change for TAU-Y
pc pa oa ma
-------- -------- -------- --------
-0.203 0.004 -0.121 -0.011
No Non-Zero Modification Indices for ALPHA
Max. Mod. Index is 24.54 for Element ( 2, 1) of LAMBDA-Y in Group 2
Time used 0.016 seconds
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