Mplus VERSION 5.1
MUTHEN & MUTHEN
05/05/2008 8:26 PM
INPUT INSTRUCTIONS
TITLE:
cont4
A 2-GROUP MIMIC model
DATA:
FILE IS school.dat;
VARIABLE:
NAMES ARE x1 y1-y16 x2 school x3 x4;
USEV ARE y6-y9 x1 x2 x3;
! relative to the input of wMimic1, x4 is moved
! from the USEV analysis variable list to the
! multiple-group definition below:
GROUPING IS x4 (1 = groupA 2= groupB);
ANALYSIS: TYPE = MEANSTRUCTURE;
MODEL:
! with multiple-group analysis the statement MODEL: refers
! to the general model structure that holds for all groups
! which can then be modified by group-specific model
! statements. The default is measurement invariance for
! the y intercepts and the loadings.
f BY y6-y9;
! the statement above refers to the measurement
! part of the model. The y6 loading is fixed to 1
! by default because y6 is the first variable in
! the BY statement list; the other loadings are free.
! The residuals are automatically included and are
! uncorrelated by default (a correlation betweeen
! the residuals of, say y6 and y9 is stated as
! y6 WITH y9).
f ON x1-x3;
! the statement above refers to the structural part
! of the model. The residual is automatically included.
! The x variables are not modelled and their
! covariance matrix is held fixed at the sample values.
! The intercept of y8 has been found not group-invariant
! in a previous analysis. In the current analysis
! the default invariance setting is therefore modified
! using the group 2 (typeB) model statement below
MODEL groupB:
[y8];
! the statement above lets the intercept of y8 differ
! across the 2 groups
OUTPUT: SAMPSTAT STANDARDIZED MODINDICES(0.0);
*** WARNING in ANALYSIS command
Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all
analyses. To remove means from the model, use
MODEL=NOMEANSTRUCTURE in the ANALYSIS command.
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
cont4
A 2-GROUP MIMIC model
SUMMARY OF ANALYSIS
Number of groups 2
Number of observations
Group GROUPA 4154
Group GROUPB 1044
Number of dependent variables 4
Number of independent variables 3
Number of continuous latent variables 1
Observed dependent variables
Continuous
Y6 Y7 Y8 Y9
Observed independent variables
X1 X2 X3
Continuous latent variables
F
Variables with special functions
Grouping variable X4
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
school.dat
Input data format FREE
SAMPLE STATISTICS
SAMPLE STATISTICS FOR GROUPA
Means
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
1 2.405 2.528 2.146 2.832 2.231
Means
X2 X3
________ ________
1 0.493 4.960
Covariances
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
Y6 1.376
Y7 1.066 1.378
Y8 0.687 0.689 1.825
Y9 1.087 1.143 0.693 3.696
X1 0.486 0.499 0.356 0.525 1.163
X2 0.001 0.029 0.024 0.054 0.019
X3 -0.586 -0.631 -0.419 -0.668 -0.716
Covariances
X2 X3
________ ________
X2 0.250
X3 -0.008 3.016
Correlations
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
Y6 1.000
Y7 0.775 1.000
Y8 0.434 0.435 1.000
Y9 0.482 0.506 0.267 1.000
X1 0.384 0.394 0.244 0.253 1.000
X2 0.001 0.049 0.035 0.056 0.036
X3 -0.288 -0.309 -0.178 -0.200 -0.382
Correlations
X2 X3
________ ________
X2 1.000
X3 -0.010 1.000
SAMPLE STATISTICS FOR GROUPB
Means
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
1 2.787 2.929 2.215 3.319 2.898
Means
X2 X3
________ ________
1 0.488 2.492
Covariances
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
Y6 1.172
Y7 0.904 1.267
Y8 0.585 0.690 1.793
Y9 0.729 0.864 0.494 3.209
X1 0.299 0.255 0.243 0.261 0.985
X2 0.004 0.009 0.023 0.058 0.014
X3 -0.560 -0.765 -0.451 -0.604 -0.198
Covariances
X2 X3
________ ________
X2 0.250
X3 0.014 5.760
Correlations
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
Y6 1.000
Y7 0.742 1.000
Y8 0.404 0.458 1.000
Y9 0.376 0.429 0.206 1.000
X1 0.278 0.229 0.183 0.147 1.000
X2 0.007 0.016 0.034 0.065 0.028
X3 -0.215 -0.283 -0.140 -0.141 -0.083
Correlations
X2 X3
________ ________
X2 1.000
X3 0.011 1.000
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 87.292
Degrees of Freedom 27
P-Value 0.0000
Chi-Square Contributions From Each Group
GROUPA 43.935
GROUPB 43.357
Chi-Square Test of Model Fit for the Baseline Model
Value 8638.602
Degrees of Freedom 36
P-Value 0.0000
CFI/TLI
CFI 0.993
TLI 0.991
Loglikelihood
H0 Value -53338.818
H1 Value -53295.173
Information Criteria
Number of Free Parameters 25
Akaike (AIC) 106727.637
Bayesian (BIC) 106891.538
Sample-Size Adjusted BIC 106812.096
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.029
90 Percent C.I. 0.023 0.036
SRMR (Standardized Root Mean Square Residual)
Value 0.018
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group GROUPA
F BY
Y6 1.000 0.000 999.000 999.000
Y7 1.052 0.016 67.667 0.000
Y8 0.672 0.019 35.933 0.000
Y9 1.050 0.026 40.786 0.000
F ON
X1 0.342 0.015 22.510 0.000
X2 0.047 0.030 1.602 0.109
X3 -0.117 0.009 -12.639 0.000
Intercepts
Y6 2.197 0.069 31.793 0.000
Y7 2.309 0.072 31.861 0.000
Y8 2.008 0.050 40.406 0.000
Y9 2.632 0.076 34.824 0.000
F 0.000 0.000 999.000 999.000
Residual Variances
Y6 0.354 0.014 24.766 0.000
Y7 0.266 0.014 18.729 0.000
Y8 1.380 0.032 43.714 0.000
Y9 2.537 0.059 43.011 0.000
F 0.777 0.024 32.424 0.000
Group GROUPB
F BY
Y6 1.000 0.000 999.000 999.000
Y7 1.052 0.016 67.667 0.000
Y8 0.672 0.019 35.933 0.000
Y9 1.050 0.026 40.786 0.000
F ON
X1 0.252 0.029 8.660 0.000
X2 0.034 0.057 0.597 0.551
X3 -0.105 0.012 -8.742 0.000
Intercepts
Y6 2.197 0.069 31.793 0.000
Y7 2.309 0.072 31.861 0.000
Y8 1.816 0.060 30.235 0.000
Y9 2.632 0.076 34.824 0.000
F 0.108 0.121 0.893 0.372
Residual Variances
Y6 0.350 0.025 14.052 0.000
Y7 0.279 0.025 11.057 0.000
Y8 1.353 0.062 21.935 0.000
Y9 2.493 0.115 21.685 0.000
F 0.719 0.039 18.268 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group GROUPA
F BY
Y6 0.861 0.006 134.866 0.000
Y7 0.899 0.006 153.018 0.000
Y8 0.499 0.012 42.438 0.000
Y9 0.553 0.011 50.007 0.000
F ON
X1 0.366 0.015 24.386 0.000
X2 0.024 0.015 1.602 0.109
X3 -0.202 0.016 -12.896 0.000
Intercepts
Y6 1.880 0.064 29.560 0.000
Y7 1.961 0.066 29.598 0.000
Y8 1.481 0.041 36.397 0.000
Y9 1.377 0.043 32.068 0.000
F 0.000 0.000 999.000 999.000
Residual Variances
Y6 0.259 0.011 23.551 0.000
Y7 0.192 0.011 18.166 0.000
Y8 0.751 0.012 63.936 0.000
Y9 0.694 0.012 56.829 0.000
F 0.767 0.012 61.659 0.000
Group GROUPB
F BY
Y6 0.842 0.011 75.269 0.000
Y7 0.879 0.012 75.941 0.000
Y8 0.472 0.016 29.322 0.000
Y9 0.524 0.015 33.947 0.000
F ON
X1 0.270 0.030 8.979 0.000
X2 0.018 0.031 0.597 0.551
X3 -0.272 0.030 -9.066 0.000
Intercepts
Y6 2.001 0.076 26.383 0.000
Y7 2.086 0.079 26.529 0.000
Y8 1.377 0.053 25.743 0.000
Y9 1.420 0.050 28.588 0.000
F 0.116 0.131 0.889 0.374
Residual Variances
Y6 0.290 0.019 15.392 0.000
Y7 0.228 0.020 11.188 0.000
Y8 0.778 0.015 51.258 0.000
Y9 0.726 0.016 44.863 0.000
F 0.840 0.023 37.072 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group GROUPA
F BY
Y6 0.861 0.006 134.866 0.000
Y7 0.899 0.006 153.018 0.000
Y8 0.499 0.012 42.438 0.000
Y9 0.553 0.011 50.007 0.000
F ON
X1 0.340 0.014 24.932 0.000
X2 0.047 0.029 1.602 0.109
X3 -0.116 0.009 -12.996 0.000
Intercepts
Y6 1.880 0.064 29.560 0.000
Y7 1.961 0.066 29.598 0.000
Y8 1.481 0.041 36.397 0.000
Y9 1.377 0.043 32.068 0.000
F 0.000 0.000 999.000 999.000
Residual Variances
Y6 0.259 0.011 23.551 0.000
Y7 0.192 0.011 18.166 0.000
Y8 0.751 0.012 63.936 0.000
Y9 0.694 0.012 56.829 0.000
F 0.767 0.012 61.659 0.000
Group GROUPB
F BY
Y6 0.842 0.011 75.269 0.000
Y7 0.879 0.012 75.941 0.000
Y8 0.472 0.016 29.322 0.000
Y9 0.524 0.015 33.947 0.000
F ON
X1 0.272 0.030 9.126 0.000
X2 0.037 0.062 0.597 0.551
X3 -0.113 0.012 -9.218 0.000
Intercepts
Y6 2.001 0.076 26.383 0.000
Y7 2.086 0.079 26.529 0.000
Y8 1.377 0.053 25.743 0.000
Y9 1.420 0.050 28.588 0.000
F 0.116 0.131 0.889 0.374
Residual Variances
Y6 0.290 0.019 15.392 0.000
Y7 0.228 0.020 11.188 0.000
Y8 0.778 0.015 51.258 0.000
Y9 0.726 0.016 44.863 0.000
F 0.840 0.023 37.072 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group GROUPA
F BY
Y6 1.006 0.015 66.262 0.000
Y7 1.059 0.015 70.622 0.000
Y8 0.677 0.019 35.208 0.000
Y9 1.056 0.027 39.832 0.000
F ON
X1 0.340 0.014 24.932 0.000
X2 0.047 0.029 1.602 0.109
X3 -0.116 0.009 -12.996 0.000
Intercepts
Y6 2.197 0.069 31.793 0.000
Y7 2.309 0.072 31.861 0.000
Y8 2.008 0.050 40.406 0.000
Y9 2.632 0.076 34.824 0.000
F 0.000 0.000 999.000 999.000
Residual Variances
Y6 0.354 0.014 24.766 0.000
Y7 0.266 0.014 18.729 0.000
Y8 1.380 0.032 43.714 0.000
Y9 2.537 0.059 43.011 0.000
F 0.767 0.012 61.659 0.000
Group GROUPB
F BY
Y6 0.925 0.025 37.480 0.000
Y7 0.973 0.026 37.282 0.000
Y8 0.622 0.023 27.626 0.000
Y9 0.971 0.032 29.946 0.000
F ON
X1 0.272 0.030 9.126 0.000
X2 0.037 0.062 0.597 0.551
X3 -0.113 0.012 -9.218 0.000
Intercepts
Y6 2.197 0.069 31.793 0.000
Y7 2.309 0.072 31.861 0.000
Y8 1.816 0.060 30.235 0.000
Y9 2.632 0.076 34.824 0.000
F 0.116 0.131 0.889 0.374
Residual Variances
Y6 0.350 0.025 14.052 0.000
Y7 0.279 0.025 11.057 0.000
Y8 1.353 0.062 21.935 0.000
Y9 2.493 0.115 21.685 0.000
F 0.840 0.023 37.072 0.000
R-SQUARE
Group GROUPA
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
Y6 0.741 0.011 67.433 0.000
Y7 0.808 0.011 76.509 0.000
Y8 0.249 0.012 21.219 0.000
Y9 0.306 0.012 25.003 0.000
Latent Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
F 0.233 0.012 18.700 0.000
Group GROUPB
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
Y6 0.710 0.019 37.634 0.000
Y7 0.772 0.020 37.971 0.000
Y8 0.222 0.015 14.661 0.000
Y9 0.274 0.016 16.973 0.000
Latent Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
F 0.160 0.023 7.042 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.282E-03
(ratio of smallest to largest eigenvalue)
MODEL MODIFICATION INDICES
Minimum M.I. value for printing the modification index 0.000
M.I. E.P.C. Std E.P.C. StdYX E.P.C.
Group GROUPA
BY Statements
F BY Y6 3.016 0.053 0.053 0.046
F BY Y7 4.068 -0.014 -0.014 -0.012
F BY Y8 2.039 -0.012 -0.012 -0.009
F BY Y9 2.555 0.019 0.019 0.010
WITH Statements
Y7 WITH Y6 0.292 0.014 0.014 0.046
Y8 WITH Y6 2.940 0.027 0.027 0.038
Y8 WITH Y7 6.536 -0.041 -0.041 -0.067
Y9 WITH Y6 0.043 -0.005 -0.005 -0.005
Y9 WITH Y7 1.045 0.024 0.024 0.029
Y9 WITH Y8 0.861 -0.028 -0.028 -0.015
Means/Intercepts/Thresholds
[ Y6 ] 0.084 0.001 0.001 0.001
[ Y7 ] 0.212 0.001 0.001 0.001
[ Y9 ] 2.376 -0.015 -0.015 -0.008
Group GROUPB
BY Statements
F BY Y6 3.018 -0.053 -0.049 -0.045
F BY Y7 4.071 0.050 0.046 0.042
F BY Y8 2.038 0.056 0.052 0.039
F BY Y9 2.555 -0.071 -0.065 -0.035
WITH Statements
Y7 WITH Y6 0.795 0.034 0.034 0.109
Y8 WITH Y6 1.304 -0.033 -0.033 -0.047
Y8 WITH Y7 5.929 0.070 0.070 0.114
Y9 WITH Y6 4.718 -0.087 -0.087 -0.093
Y9 WITH Y7 0.392 0.025 0.025 0.030
Y9 WITH Y8 2.178 -0.088 -0.088 -0.048
Means/Intercepts/Thresholds
[ Y6 ] 0.084 -0.007 -0.007 -0.006
[ Y7 ] 0.212 -0.012 -0.012 -0.011
[ Y9 ] 2.376 0.073 0.073 0.039
Beginning Time: 20:26:31
Ending Time: 20:26:33
Elapsed Time: 00:00:02
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