Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:58 PM
INPUT INSTRUCTIONS
TITLE:
cont13
A MIMIC model
with equality of loadings
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@1
y7-y9 (1);
! the statement above refers to the measurement
! part of the model. The y6 loading is fixed to 1; the
! other 3 loadings are constrained to be equal using "(#)".
! 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
cont13
A MIMIC model
with equality of loadings
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 474.850
Degrees of Freedom 16
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 0.948
TLI 0.929
Loglikelihood
H0 Value -56356.077
H1 Value -56118.652
Information Criteria
Number of Free Parameters 14
Akaike (AIC) 112740.155
Bayesian (BIC) 112831.939
Sample-Size Adjusted BIC 112787.452
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.074
90 Percent C.I. 0.069 0.080
Probability RMSEA <= .05 0.000
SRMR (Standardized Root Mean Square Residual)
Value 0.065
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 1.000 0.000 999.000 999.000
Y7 0.946 0.013 70.630 0.000
Y8 0.946 0.013 70.630 0.000
Y9 0.946 0.013 70.630 0.000
F ON
X1 0.338 0.014 24.922 0.000
X2 0.038 0.027 1.420 0.156
X3 -0.115 0.008 -15.351 0.000
X4 -0.134 0.038 -3.507 0.000
Intercepts
Y6 2.338 0.079 29.604 0.000
Y7 2.473 0.075 33.075 0.000
Y8 2.025 0.076 26.601 0.000
Y9 2.794 0.078 36.029 0.000
Residual Variances
Y6 0.315 0.012 25.246 0.000
Y7 0.341 0.012 28.337 0.000
Y8 1.404 0.030 46.496 0.000
Y9 2.560 0.053 48.554 0.000
F 0.795 0.022 35.712 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 0.876 0.006 157.071 0.000
Y7 0.856 0.006 146.142 0.000
Y8 0.632 0.006 101.521 0.000
Y9 0.517 0.007 79.159 0.000
F ON
X1 0.362 0.014 26.799 0.000
X2 0.019 0.013 1.419 0.156
X3 -0.241 0.015 -15.661 0.000
X4 -0.052 0.015 -3.510 0.000
Intercepts
Y6 2.006 0.071 28.211 0.000
Y7 2.190 0.070 31.400 0.000
Y8 1.324 0.051 25.826 0.000
Y9 1.495 0.043 34.494 0.000
Residual Variances
Y6 0.232 0.010 23.735 0.000
Y7 0.267 0.010 26.682 0.000
Y8 0.601 0.008 76.347 0.000
Y9 0.733 0.007 108.564 0.000
F 0.763 0.011 67.669 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 0.876 0.006 157.071 0.000
Y7 0.856 0.006 146.142 0.000
Y8 0.632 0.006 101.521 0.000
Y9 0.517 0.007 79.159 0.000
F ON
X1 0.331 0.012 27.384 0.000
X2 0.038 0.026 1.420 0.156
X3 -0.113 0.007 -15.802 0.000
X4 -0.131 0.037 -3.512 0.000
Intercepts
Y6 2.006 0.071 28.211 0.000
Y7 2.190 0.070 31.400 0.000
Y8 1.324 0.051 25.826 0.000
Y9 1.495 0.043 34.494 0.000
Residual Variances
Y6 0.232 0.010 23.735 0.000
Y7 0.267 0.010 26.682 0.000
Y8 0.601 0.008 76.347 0.000
Y9 0.733 0.007 108.564 0.000
F 0.763 0.011 67.669 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F BY
Y6 1.021 0.014 74.253 0.000
Y7 0.966 0.013 75.287 0.000
Y8 0.966 0.013 75.287 0.000
Y9 0.966 0.013 75.287 0.000
F ON
X1 0.331 0.012 27.384 0.000
X2 0.038 0.026 1.420 0.156
X3 -0.113 0.007 -15.802 0.000
X4 -0.131 0.037 -3.512 0.000
Intercepts
Y6 2.338 0.079 29.604 0.000
Y7 2.473 0.075 33.075 0.000
Y8 2.025 0.076 26.601 0.000
Y9 2.794 0.078 36.029 0.000
Residual Variances
Y6 0.315 0.012 25.246 0.000
Y7 0.341 0.012 28.337 0.000
Y8 1.404 0.030 46.496 0.000
Y9 2.560 0.053 48.554 0.000
F 0.763 0.011 67.669 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
Y6 0.768 0.010 78.536 0.000
Y7 0.733 0.010 73.071 0.000
Y8 0.399 0.008 50.760 0.000
Y9 0.267 0.007 39.580 0.000
Latent Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
F 0.237 0.011 21.069 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.341E-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.
BY Statements
F BY Y7 212.738 0.089 0.090 0.080
F BY Y8 392.095 -0.297 -0.304 -0.199
F BY Y9 14.350 0.082 0.084 0.045
WITH Statements
Y7 WITH Y6 115.928 0.158 0.158 0.483
Y8 WITH Y6 55.623 -0.113 -0.113 -0.170
Y8 WITH Y7 36.408 -0.098 -0.098 -0.142
Y9 WITH Y6 3.993 -0.036 -0.036 -0.040
Y9 WITH Y7 43.226 0.121 0.121 0.129
Y9 WITH Y8 12.758 -0.101 -0.101 -0.053
Beginning Time: 22:58:07
Ending Time: 22:58:07
Elapsed Time: 00:00:00
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