Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:58 PM
INPUT INSTRUCTIONS
TITLE: cont3
Classic structural equation model with multiple indicators
used in a study of the stability of alienation.
Source:
Wheaton, B., Muthen, B., Alwin, D., & Summers, G. (1977).
Assessing the reliability and stability in panel models.
In D.R. Heise (ed), Sociological Methodology 1977.
San Francisco: Jossey-Bass.
DATA: FILE IS wheacov.dat;
TYPE IS COVARIANCE;
NOBS ARE 932;
VARIABLE: NAMES ARE anomia67 power67 anomia71 power71 educ sei;
USEVAR = anomia67 power67 anomia71 power71 educ sei;
MODEL:
! first the measurement model part using the keyword BY:
ses BY educ sei;
alien67 BY anomia67 power67;
alien71 BY anomia71 power71;
! next the structural model part using the keyword ON:
alien71 ON alien67 ses;
alien67 ON ses;
! and then adding correlated residuals over time using
! the keyword WITH:
anomia67 WITH anomia71;
power67 WITH power71;
OUTPUT:
sampstat tech1 standardized modindices(0);
INPUT READING TERMINATED NORMALLY
cont3
Classic structural equation model with multiple indicators
used in a study of the stability of alienation.
Source:
Wheaton, B., Muthen, B., Alwin, D., & Summers, G. (1977).
Assessing the reliability and stability in panel models.
In D.R. Heise (ed), Sociological Methodology 1977.
San Francisco: Jossey-Bass.
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 932
Number of dependent variables 6
Number of independent variables 0
Number of continuous latent variables 3
Observed dependent variables
Continuous
ANOMIA67 POWER67 ANOMIA71 POWER71 EDUC SEI
Continuous latent variables
SES ALIEN67 ALIEN71
Estimator ML
Information matrix EXPECTED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
wheacov.dat
Input data format FREE
SAMPLE STATISTICS
SAMPLE STATISTICS
Covariances/Correlations/Residual Correlations
ANOMIA67 POWER67 ANOMIA71 POWER71 EDUC
________ ________ ________ ________ ________
ANOMIA67 11.834
POWER67 6.947 9.364
ANOMIA71 6.819 5.091 12.532
POWER71 4.783 5.028 7.495 9.986
EDUC -3.839 -3.889 -3.841 -3.625 9.610
SEI -21.899 -18.831 -21.784 -18.775 35.522
Covariances/Correlations/Residual Correlations
SEI
________
SEI 450.288
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 4.771
Degrees of Freedom 4
P-Value 0.3116
Chi-Square Test of Model Fit for the Baseline Model
Value 2133.794
Degrees of Freedom 15
P-Value 0.0000
CFI/TLI
CFI 1.000
TLI 0.999
Loglikelihood
H0 Value -15213.256
H1 Value -15210.870
Information Criteria
Number of Free Parameters 17
Akaike (AIC) 30460.511
Bayesian (BIC) 30542.746
Sample-Size Adjusted BIC 30488.755
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.014
90 Percent C.I. 0.000 0.053
Probability RMSEA <= .05 0.928
SRMR (Standardized Root Mean Square Residual)
Value 0.007
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC 1.000 0.000 999.000 999.000
SEI 5.221 0.422 12.367 0.000
ALIEN67 BY
ANOMIA67 1.000 0.000 999.000 999.000
POWER67 0.979 0.062 15.896 0.000
ALIEN71 BY
ANOMIA71 1.000 0.000 999.000 999.000
POWER71 0.922 0.059 15.501 0.000
ALIEN71 ON
ALIEN67 0.607 0.051 11.895 0.000
SES -0.227 0.052 -4.337 0.000
ALIEN67 ON
SES -0.575 0.056 -10.197 0.000
ANOMIA67 WITH
ANOMIA71 1.622 0.314 5.173 0.000
POWER67 WITH
POWER71 0.340 0.261 1.302 0.193
Variances
SES 6.796 0.649 10.476 0.000
Residual Variances
ANOMIA67 4.730 0.453 10.438 0.000
POWER67 2.564 0.403 6.363 0.000
ANOMIA71 4.397 0.515 8.537 0.000
POWER71 3.072 0.434 7.078 0.000
EDUC 2.804 0.507 5.532 0.000
SEI 264.537 18.125 14.595 0.000
ALIEN67 4.842 0.467 10.359 0.000
ALIEN71 4.084 0.404 10.104 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC 0.841 0.032 26.460 0.000
SEI 0.642 0.030 21.320 0.000
ALIEN67 BY
ANOMIA67 0.775 0.025 30.751 0.000
POWER67 0.852 0.026 33.082 0.000
ALIEN71 BY
ANOMIA71 0.806 0.026 31.053 0.000
POWER71 0.832 0.027 31.212 0.000
ALIEN71 ON
ALIEN67 0.567 0.041 13.879 0.000
SES -0.208 0.045 -4.611 0.000
ALIEN67 ON
SES -0.563 0.035 -16.276 0.000
ANOMIA67 WITH
ANOMIA71 0.356 0.047 7.545 0.000
POWER67 WITH
POWER71 0.121 0.081 1.486 0.137
Variances
SES 1.000 0.000 999.000 999.000
Residual Variances
ANOMIA67 0.400 0.039 10.256 0.000
POWER67 0.274 0.044 6.247 0.000
ANOMIA71 0.351 0.042 8.403 0.000
POWER71 0.308 0.044 6.945 0.000
EDUC 0.292 0.054 5.458 0.000
SEI 0.588 0.039 15.221 0.000
ALIEN67 0.683 0.039 17.523 0.000
ALIEN71 0.503 0.033 15.091 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC 0.841 0.032 26.460 0.000
SEI 0.642 0.030 21.320 0.000
ALIEN67 BY
ANOMIA67 0.775 0.025 30.751 0.000
POWER67 0.852 0.026 33.082 0.000
ALIEN71 BY
ANOMIA71 0.806 0.026 31.053 0.000
POWER71 0.832 0.027 31.212 0.000
ALIEN71 ON
ALIEN67 0.567 0.041 13.879 0.000
SES -0.208 0.045 -4.611 0.000
ALIEN67 ON
SES -0.563 0.035 -16.276 0.000
ANOMIA67 WITH
ANOMIA71 0.356 0.047 7.545 0.000
POWER67 WITH
POWER71 0.121 0.081 1.486 0.137
Variances
SES 1.000 0.000 999.000 999.000
Residual Variances
ANOMIA67 0.400 0.039 10.256 0.000
POWER67 0.274 0.044 6.247 0.000
ANOMIA71 0.351 0.042 8.403 0.000
POWER71 0.308 0.044 6.945 0.000
EDUC 0.292 0.054 5.458 0.000
SEI 0.588 0.039 15.221 0.000
ALIEN67 0.683 0.039 17.523 0.000
ALIEN71 0.503 0.033 15.091 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC 2.607 0.124 20.951 0.000
SEI 13.611 0.790 17.232 0.000
ALIEN67 BY
ANOMIA67 2.663 0.119 22.328 0.000
POWER67 2.606 0.109 23.973 0.000
ALIEN71 BY
ANOMIA71 2.850 0.125 22.809 0.000
POWER71 2.627 0.114 23.018 0.000
ALIEN71 ON
ALIEN67 0.567 0.041 13.879 0.000
SES -0.208 0.045 -4.611 0.000
ALIEN67 ON
SES -0.563 0.035 -16.276 0.000
ANOMIA67 WITH
ANOMIA71 1.622 0.314 5.173 0.000
POWER67 WITH
POWER71 0.340 0.261 1.302 0.193
Variances
SES 1.000 0.000 999.000 999.000
Residual Variances
ANOMIA67 4.730 0.453 10.438 0.000
POWER67 2.564 0.403 6.363 0.000
ANOMIA71 4.397 0.515 8.537 0.000
POWER71 3.072 0.434 7.078 0.000
EDUC 2.804 0.507 5.532 0.000
SEI 264.537 18.125 14.595 0.000
ALIEN67 0.683 0.039 17.523 0.000
ALIEN71 0.503 0.033 15.091 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
ANOMIA67 0.600 0.039 15.376 0.000
POWER67 0.726 0.044 16.541 0.000
ANOMIA71 0.649 0.042 15.527 0.000
POWER71 0.692 0.044 15.606 0.000
EDUC 0.708 0.054 13.230 0.000
SEI 0.412 0.039 10.660 0.000
Latent Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
ALIEN67 0.317 0.039 8.138 0.000
ALIEN71 0.497 0.033 14.928 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.151E-02
(ratio of smallest to largest eigenvalue)
MODEL MODIFICATION INDICES
NOTE: Modification indices for direct effects of observed dependent variables
regressed on covariates may not be included. To include these, request
MODINDICES (ALL).
Minimum M.I. value for printing the modification index 0.000
M.I. E.P.C. Std E.P.C. StdYX E.P.C.
BY Statements
SES BY ANOMIA67 0.008 -0.008 -0.020 -0.006
SES BY POWER67 0.008 0.008 0.020 0.006
SES BY ANOMIA71 0.008 0.008 0.020 0.006
SES BY POWER71 0.008 -0.007 -0.018 -0.006
ALIEN67 BY ANOMIA71 0.008 0.021 0.055 0.016
ALIEN67 BY POWER71 0.008 -0.019 -0.052 -0.016
ALIEN67 BY EDUC 0.232 -0.081 -0.216 -0.070
ALIEN67 BY SEI 0.231 0.422 1.123 0.053
ALIEN71 BY ANOMIA67 0.008 -0.014 -0.039 -0.011
ALIEN71 BY POWER67 0.008 0.013 0.037 0.012
ALIEN71 BY EDUC 0.231 0.053 0.151 0.049
ALIEN71 BY SEI 0.233 -0.276 -0.788 -0.037
WITH Statements
ANOMIA71 WITH POWER67 0.008 0.038 0.038 0.011
POWER71 WITH ANOMIA67 0.008 -0.036 -0.036 -0.010
EDUC WITH ANOMIA67 1.428 0.281 0.281 0.077
EDUC WITH POWER67 2.274 -0.338 -0.338 -0.126
EDUC WITH ANOMIA71 0.458 0.160 0.160 0.046
EDUC WITH POWER71 0.106 -0.071 -0.071 -0.024
SEI WITH ANOMIA67 2.163 -2.113 -2.113 -0.060
SEI WITH POWER67 3.306 2.467 2.467 0.095
SEI WITH ANOMIA71 0.520 -1.044 -1.044 -0.031
SEI WITH POWER71 0.095 0.417 0.417 0.015
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
LAMBDA
SES ALIEN67 ALIEN71
________ ________ ________
ANOMIA67 0 0 0
POWER67 0 1 0
ANOMIA71 0 0 0
POWER71 0 0 2
EDUC 0 0 0
SEI 3 0 0
THETA
ANOMIA67 POWER67 ANOMIA71 POWER71 EDUC
________ ________ ________ ________ ________
ANOMIA67 4
POWER67 0 5
ANOMIA71 6 0 7
POWER71 0 8 0 9
EDUC 0 0 0 0 10
SEI 0 0 0 0 0
THETA
SEI
________
SEI 11
BETA
SES ALIEN67 ALIEN71
________ ________ ________
SES 0 0 0
ALIEN67 12 0 0
ALIEN71 13 14 0
PSI
SES ALIEN67 ALIEN71
________ ________ ________
SES 15
ALIEN67 0 16
ALIEN71 0 0 17
STARTING VALUES
LAMBDA
SES ALIEN67 ALIEN71
________ ________ ________
ANOMIA67 0.000 1.000 0.000
POWER67 0.000 1.000 0.000
ANOMIA71 0.000 0.000 1.000
POWER71 0.000 0.000 1.000
EDUC 1.000 0.000 0.000
SEI 1.000 0.000 0.000
THETA
ANOMIA67 POWER67 ANOMIA71 POWER71 EDUC
________ ________ ________ ________ ________
ANOMIA67 5.917
POWER67 0.000 4.682
ANOMIA71 0.000 0.000 6.266
POWER71 0.000 0.000 0.000 4.993
EDUC 0.000 0.000 0.000 0.000 4.805
SEI 0.000 0.000 0.000 0.000 0.000
THETA
SEI
________
SEI 225.144
BETA
SES ALIEN67 ALIEN71
________ ________ ________
SES 0.000 0.000 0.000
ALIEN67 0.000 0.000 0.000
ALIEN71 0.000 0.000 0.000
PSI
SES ALIEN67 ALIEN71
________ ________ ________
SES 0.050
ALIEN67 0.000 0.050
ALIEN71 0.000 0.000 0.050
Beginning Time: 22:58:07
Ending Time: 22:58:07
Elapsed Time: 00:00:00
MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA 90066
Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2010 Muthen & Muthen
Back to table of examples