Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:58 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 43.936
GROUPB 43.356
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
Probability RMSEA <= .05 1.000
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 35.932 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 40.407 0.000
Y9 2.632 0.076 34.825 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 35.932 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 30.236 0.000
Y9 2.632 0.076 34.825 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 0.006 134.867 0.000
Y7 0.899 0.006 153.017 0.000
Y8 0.499 0.012 42.438 0.000
Y9 0.553 0.011 50.006 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 36.398 0.000
Y9 1.377 0.043 32.069 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 63.937 0.000
Y9 0.694 0.012 56.830 0.000
F 0.767 0.012 61.659 0.000
Group GROUPB
F BY
Y6 0.842 0.011 75.270 0.000
Y7 0.879 0.012 75.942 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 26.382 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 28.589 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 0.006 134.867 0.000
Y7 0.899 0.006 153.017 0.000
Y8 0.499 0.012 42.438 0.000
Y9 0.553 0.011 50.006 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 36.398 0.000
Y9 1.377 0.043 32.069 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 63.937 0.000
Y9 0.694 0.012 56.830 0.000
F 0.767 0.012 61.659 0.000
Group GROUPB
F BY
Y6 0.842 0.011 75.270 0.000
Y7 0.879 0.012 75.942 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 26.382 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 28.589 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 66.263 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 39.831 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 40.407 0.000
Y9 2.632 0.076 34.825 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 30.236 0.000
Y9 2.632 0.076 34.825 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 67.434 0.000
Y7 0.808 0.011 76.508 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 37.635 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
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.
Group GROUPA
BY Statements
F BY Y6 3.013 0.053 0.053 0.046
F BY Y7 4.062 -0.014 -0.014 -0.012
F BY Y8 2.037 -0.012 -0.012 -0.009
F BY Y9 2.556 0.019 0.019 0.010
WITH Statements
Y7 WITH Y6 0.291 0.014 0.014 0.046
Y8 WITH Y6 2.940 0.027 0.027 0.038
Y8 WITH Y7 6.534 -0.041 -0.041 -0.067
Y9 WITH Y6 0.043 -0.005 -0.005 -0.005
Y9 WITH Y7 1.046 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 ] 0.214 0.001 0.001 0.001
[ Y9 ] 2.382 -0.015 -0.015 -0.008
Group GROUPB
BY Statements
F BY Y6 3.020 -0.053 -0.049 -0.045
F BY Y7 4.072 0.050 0.046 0.042
F BY Y8 2.038 0.056 0.052 0.039
F BY Y9 2.556 -0.071 -0.065 -0.035
WITH Statements
Y7 WITH Y6 0.793 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 4.717 -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 ] 2.375 0.073 0.073 0.039
Beginning Time: 22:58:07
Ending Time: 22:58:08
Elapsed Time: 00:00:01
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