Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:58 PM
INPUT INSTRUCTIONS
TITLE:
cont2
A MIMIC model
DATA:
FILE IS school.dat;
VARIABLE:
NAMES ARE x1 y1-y16 x2 school x3 x4;
USEV ARE y6-y9 x1 x2 x3 x4;
ANALYSIS:
MODEL:
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-x4;
! 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.
OUTPUT: SAMPSTAT STANDARDIZED MODINDICES(0.0);
INPUT READING TERMINATED NORMALLY
cont2
A MIMIC model
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 5198
Number of dependent variables 4
Number of independent variables 4
Number of continuous latent variables 1
Observed dependent variables
Continuous
Y6 Y7 Y8 Y9
Observed independent variables
X1 X2 X3 X4
Continuous latent variables
F
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
Means
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
1 2.482 2.608 2.160 2.930 2.365
Means
X2 X3 X4
________ ________ ________
1 0.492 4.464 1.201
Covariances
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
Y6 1.358
Y7 1.058 1.381
Y8 0.671 0.694 1.819
Y9 1.045 1.118 0.658 3.636
X1 0.489 0.493 0.341 0.524 1.198
X2 0.001 0.025 0.024 0.054 0.018
X3 -0.732 -0.816 -0.452 -0.848 -0.876
X4 0.061 0.064 0.011 0.078 0.107
Covariances
X2 X3 X4
________ ________ ________
X2 0.250
X3 -0.002 4.544
X4 -0.001 -0.396 0.161
Correlations
Y6 Y7 Y8 Y9 X1
________ ________ ________ ________ ________
Y6 1.000
Y7 0.773 1.000
Y8 0.427 0.438 1.000
Y9 0.470 0.499 0.256 1.000
X1 0.383 0.383 0.231 0.251 1.000
X2 0.002 0.042 0.035 0.057 0.032
X3 -0.295 -0.326 -0.157 -0.209 -0.375
X4 0.131 0.137 0.020 0.102 0.244
Correlations
X2 X3 X4
________ ________ ________
X2 1.000
X3 -0.002 1.000
X4 -0.004 -0.464 1.000
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 77.460
Degrees of Freedom 14
P-Value 0.0000
Chi-Square Test of Model Fit for the Baseline Model
Value 8864.002
Degrees of Freedom 22
P-Value 0.0000
CFI/TLI
CFI 0.993
TLI 0.989
Loglikelihood
H0 Value -56157.382
H1 Value -56118.652
Information Criteria
Number of Free Parameters 16
Akaike (AIC) 112346.764
Bayesian (BIC) 112451.661
Sample-Size Adjusted BIC 112400.818
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.030
90 Percent C.I. 0.023 0.036
Probability RMSEA <= .05 1.000
SRMR (Standardized Root Mean Square Residual)
Value 0.013
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 1.000 0.000 999.000 999.000
Y7 1.053 0.016 67.398 0.000
Y8 0.659 0.018 35.712 0.000
Y9 1.050 0.026 40.796 0.000
F ON
X1 0.327 0.013 24.339 0.000
X2 0.045 0.026 1.704 0.088
X3 -0.115 0.007 -15.606 0.000
X4 -0.126 0.037 -3.383 0.001
Intercepts
Y6 2.349 0.077 30.443 0.000
Y7 2.469 0.081 30.467 0.000
Y8 2.073 0.053 38.984 0.000
Y9 2.791 0.084 33.412 0.000
Residual Variances
Y6 0.353 0.013 26.890 0.000
Y7 0.267 0.013 20.045 0.000
Y8 1.382 0.028 48.921 0.000
Y9 2.529 0.053 48.143 0.000
F 0.768 0.022 35.190 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 0.860 0.006 143.743 0.000
Y7 0.898 0.006 159.624 0.000
Y8 0.490 0.011 42.834 0.000
Y9 0.552 0.011 52.245 0.000
F ON
X1 0.357 0.013 26.440 0.000
X2 0.022 0.013 1.704 0.088
X3 -0.244 0.015 -15.989 0.000
X4 -0.050 0.015 -3.386 0.001
Intercepts
Y6 2.016 0.070 28.952 0.000
Y7 2.101 0.073 28.976 0.000
Y8 1.537 0.043 36.051 0.000
Y9 1.464 0.047 31.471 0.000
Residual Variances
Y6 0.260 0.010 25.256 0.000
Y7 0.194 0.010 19.158 0.000
Y8 0.760 0.011 67.737 0.000
Y9 0.695 0.012 59.650 0.000
F 0.764 0.011 68.436 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 0.860 0.006 143.743 0.000
Y7 0.898 0.006 159.624 0.000
Y8 0.490 0.011 42.834 0.000
Y9 0.552 0.011 52.245 0.000
F ON
X1 0.326 0.012 27.007 0.000
X2 0.045 0.026 1.704 0.088
X3 -0.114 0.007 -16.138 0.000
X4 -0.125 0.037 -3.388 0.001
Intercepts
Y6 2.016 0.070 28.952 0.000
Y7 2.101 0.073 28.976 0.000
Y8 1.537 0.043 36.051 0.000
Y9 1.464 0.047 31.471 0.000
Residual Variances
Y6 0.260 0.010 25.256 0.000
Y7 0.194 0.010 19.158 0.000
Y8 0.760 0.011 67.737 0.000
Y9 0.695 0.012 59.650 0.000
F 0.764 0.011 68.436 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 1.003 0.014 71.682 0.000
Y7 1.055 0.014 76.100 0.000
Y8 0.661 0.019 35.637 0.000
Y9 1.052 0.026 40.950 0.000
F ON
X1 0.326 0.012 27.007 0.000
X2 0.045 0.026 1.704 0.088
X3 -0.114 0.007 -16.138 0.000
X4 -0.125 0.037 -3.388 0.001
Intercepts
Y6 2.349 0.077 30.443 0.000
Y7 2.469 0.081 30.467 0.000
Y8 2.073 0.053 38.984 0.000
Y9 2.791 0.084 33.412 0.000
Residual Variances
Y6 0.353 0.013 26.890 0.000
Y7 0.267 0.013 20.045 0.000
Y8 1.382 0.028 48.921 0.000
Y9 2.529 0.053 48.143 0.000
F 0.764 0.011 68.436 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
Y6 0.740 0.010 71.872 0.000
Y7 0.806 0.010 79.812 0.000
Y8 0.240 0.011 21.417 0.000
Y9 0.305 0.012 26.122 0.000
Latent Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
F 0.236 0.011 21.107 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.370E-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.
WITH Statements
Y7 WITH Y6 0.224 0.013 0.013 0.041
Y8 WITH Y6 1.500 0.017 0.017 0.025
Y8 WITH Y7 0.714 -0.012 -0.012 -0.020
Y9 WITH Y6 1.516 -0.026 -0.026 -0.027
Y9 WITH Y7 1.634 0.028 0.028 0.034
Y9 WITH Y8 2.309 -0.042 -0.042 -0.022
Beginning Time: 22:58:07
Ending Time: 22:58:07
Elapsed Time: 00:00:00
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