Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010 10:57 PM
INPUT INSTRUCTIONS
TITLE:
cont10
A MIMIC model.
Complex sample analysis,
multilevel modeling (disaggregated modeling).
Compare results to wMimic1 and wMimic2 (same
within-level model).
In these data:
y6-y9, x1 and x2 are student (within)- level variables,
x3 and x4 are school (between)- level variables.
For related work, see, e.g.:
Muthen, B. (1994). Multilevel covariance structure analysis.
In J. Hox & I. Kreft (Eds.), Multilevel modeling,
a special issue of Sociological Methods & Research,
22, 376-398.
DATA:
FILE IS school.dat;
VARIABLE:
NAMES ARE x1 y1-y16 x2 school x3 x4;
USEV ARE y6-y9 x1 x2 x3 x4 school;
CLUSTER IS school;
BETWEEN ARE x3 x4;
! note that the BETWEEN statement above is necessary to specify
! that x3 and x4 are school-level variables. If this statement
! is left out, an error will be printed pointing to zero
! student-level (within) variances for x3 and x4
ANALYSIS:
TYPE = MEANSTRUCTURE TWOLEVEL; ESTIMATOR=MUML;
MODEL:
%BETWEEN%
fB BY y6-y9;
fB ON x1 x2@0 x3 x4;
! in the statement above, x1 refers to the school-level
! part (variation) of the student-level variable x1 and
! x3, x4 refer to the school-level variables x3 and x4
%WITHIN%
fw BY y6-y9;
fw ON x1 x2;
! in the statement above, x1 refers to the student-level
! part (variation) of the student-level variable x1, and
! x2 refers to the student-level variable x2
OUTPUT: SAMPSTAT STANDARDIZED;
*** 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
cont10
A MIMIC model.
Complex sample analysis,
multilevel modeling (disaggregated modeling).
Compare results to wMimic1 and wMimic2 (same
within-level model).
In these data:
y6-y9, x1 and x2 are student (within)- level variables,
x3 and x4 are school (between)- level variables.
For related work, see, e.g.:
Muthen, B. (1994). Multilevel covariance structure analysis.
In J. Hox & I. Kreft (Eds.), Multilevel modeling,
a special issue of Sociological Methods & Research,
22, 376-398.
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 2
Observed dependent variables
Continuous
Y6 Y7 Y8 Y9
Observed independent variables
X1 X2 X3 X4
Continuous latent variables
FB FW
Variables with special functions
Cluster variable SCHOOL
Between variables
X3 X4
Estimator MUML
Information matrix EXPECTED
Maximum number of iterations 1000
Convergence criterion 0.100D-05
Maximum number of steepest descent iterations 20
Input data file(s)
school.dat
Input data format FREE
SUMMARY OF DATA
Number of clusters 235
Quasi-average cluster size 22.109
Estimated Intraclass Correlations for the Y Variables
Intraclass Intraclass Intraclass
Variable Correlation Variable Correlation Variable Correlation
Y6 0.197 Y7 0.221 Y8 0.067
Y9 0.101
SAMPLE STATISTICS
NOTE: The sample between and within covariance matrices are defined in
the Mplus Technical Appendices at www.statmodel.com. See between
covariance matrix and within covariance matrix in the index of the
Mplus User's Guide.
NUMBER OF CLUSTERS: 235
SAMPLE STATISTICS FOR BETWEEN
Means
X3 X4 Y6 Y7 Y8
________ ________ ________ ________ ________
1 4.630 1.170 2.482 2.608 2.160
Means
Y9 X1 X2
________ ________ ________
1 2.930 2.365 0.492
Covariances
X3 X4 Y6 Y7 Y8
________ ________ ________ ________ ________
X3 98.525
X4 -8.049 3.136
Y6 -16.261 1.363 7.007
Y7 -18.129 1.430 6.860 7.824
Y8 -10.044 0.245 3.871 4.038 4.378
Y9 -18.827 1.735 6.917 7.607 4.201
X1 -19.444 2.376 6.459 6.798 4.041
X2 -0.038 -0.019 -0.006 0.079 0.000
Covariances
Y9 X1 X2
________ ________ ________
Y9 11.363
X1 7.391 9.902
X2 0.119 0.036 0.325
Correlations
X3 X4 Y6 Y7 Y8
________ ________ ________ ________ ________
X3 1.000
X4 -0.458 1.000
Y6 -0.619 0.291 1.000
Y7 -0.653 0.289 0.926 1.000
Y8 -0.484 0.066 0.699 0.690 1.000
Y9 -0.563 0.291 0.775 0.807 0.596
X1 -0.623 0.426 0.775 0.772 0.614
X2 -0.007 -0.019 -0.004 0.050 0.000
Correlations
Y9 X1 X2
________ ________ ________
Y9 1.000
X1 0.697 1.000
X2 0.062 0.020 1.000
SAMPLE STATISTICS FOR WITHIN
Means
X3 X4 Y6 Y7 Y8
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
Means
Y9 X1 X2
________ ________ ________
1 0.000 0.000 0.000
Covariances
X3 X4 Y6 Y7 Y8
________ ________ ________ ________ ________
X3 1.000
X4 0.000 1.000
Y6 0.000 0.000 1.092
Y7 0.000 0.000 0.785 1.078
Y8 0.000 0.000 0.520 0.536 1.699
Y9 0.000 0.000 0.768 0.813 0.491
X1 0.000 0.000 0.208 0.196 0.166
X2 0.000 0.000 0.001 0.022 0.025
Covariances
Y9 X1 X2
________ ________ ________
Y9 3.273
X1 0.201 0.788
X2 0.051 0.017 0.246
Correlations
X3 X4 Y6 Y7 Y8
________ ________ ________ ________ ________
X3 1.000
X4 0.000 1.000
Y6 0.000 0.000 1.000
Y7 0.000 0.000 0.724 1.000
Y8 0.000 0.000 0.382 0.396 1.000
Y9 0.000 0.000 0.406 0.433 0.208
X1 0.000 0.000 0.224 0.212 0.144
X2 0.000 0.000 0.003 0.043 0.038
Correlations
Y9 X1 X2
________ ________ ________
Y9 1.000
X1 0.125 1.000
X2 0.057 0.038 1.000
THE MODEL ESTIMATION TERMINATED NORMALLY
TESTS OF MODEL FIT
Chi-Square Test of Model Fit
Value 77.746
Degrees of Freedom 23
P-Value 0.0000
Chi-Square Test of Model Fit for the Baseline Model
Value 7293.561
Degrees of Freedom 36
P-Value 0.0000
CFI/TLI
CFI 0.992
TLI 0.988
Loglikelihood
H0 Value -43554.312
H1 Value -43515.439
Information Criteria
Number of Free Parameters 42
Akaike (AIC) 87192.624
Bayesian (BIC) 87467.977
Sample-Size Adjusted BIC 87334.515
(n* = (n + 2) / 24)
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.021
90 Percent C.I. 0.016 0.027
Probability RMSEA <= .05 1.000
SRMR (Standardized Root Mean Square Residual)
Value for Within 0.011
Value for Between 0.029
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Within Level
FW BY
Y6 1.000 0.000 999.000 999.000
Y7 1.036 0.020 50.806 0.000
Y8 0.680 0.022 30.711 0.000
Y9 1.020 0.031 33.384 0.000
FW ON
X1 0.251 0.015 16.877 0.000
X2 0.047 0.026 1.826 0.068
X2 WITH
X1 0.017 0.006 2.673 0.008
Variances
X1 0.788 0.016 49.815 0.000
X2 0.246 0.005 49.815 0.000
Residual Variances
Y6 0.334 0.014 23.810 0.000
Y7 0.264 0.014 18.563 0.000
Y8 1.345 0.028 47.602 0.000
Y9 2.481 0.053 47.096 0.000
FW 0.707 0.023 31.170 0.000
Between Level
FB BY
Y6 1.000 0.000 999.000 999.000
Y7 1.077 0.033 32.462 0.000
Y8 0.605 0.044 13.642 0.000
Y9 1.122 0.061 18.310 0.000
FB ON
X1 0.582 0.047 12.428 0.000
X2 0.000 0.000 999.000 999.000
X3 -0.070 0.013 -5.244 0.000
X4 -0.193 0.062 -3.129 0.002
X4 WITH
X3 -0.364 0.057 -6.382 0.000
X1 WITH
X3 -0.880 0.109 -8.104 0.000
X4 0.108 0.018 6.024 0.000
X2 WITH
X3 -0.002 0.017 -0.105 0.916
X4 -0.001 0.003 -0.289 0.772
X1 0.001 0.005 0.189 0.850
Means
X3 4.630 0.138 33.620 0.000
X4 1.170 0.025 47.631 0.000
X1 2.365 0.044 54.184 0.000
X2 0.492 0.008 62.152 0.000
Intercepts
Y6 1.652 0.165 10.005 0.000
Y7 1.715 0.177 9.683 0.000
Y8 1.659 0.107 15.488 0.000
Y9 1.999 0.191 10.479 0.000
Variances
X3 4.456 0.411 10.840 0.000
X4 0.142 0.013 10.840 0.000
X1 0.412 0.041 9.975 0.000
X2 0.004 0.001 2.598 0.009
Residual Variances
Y6 0.013 0.004 2.995 0.003
Y7 0.010 0.004 2.328 0.020
Y8 0.033 0.009 3.619 0.000
Y9 0.050 0.016 3.081 0.002
FB 0.050 0.009 5.543 0.000
STANDARDIZED MODEL RESULTS
StdYX Std
Estimate Estimate
Within Level
FW BY
Y6 0.833 0.871
Y7 0.869 0.902
Y8 0.454 0.592
Y9 0.491 0.888
FW ON
X1 0.256 0.289
X2 0.027 0.054
X2 WITH
X1 0.038 0.017
Variances
X1 1.000 0.788
X2 1.000 0.246
Residual Variances
Y6 0.306 0.334
Y7 0.245 0.264
Y8 0.793 1.345
Y9 0.759 2.481
FW 0.933 0.933
Between Level
FB BY
Y6 0.975 0.504
Y7 0.983 0.543
Y8 0.859 0.605
Y9 0.930 1.122
FB ON
X1 0.742 1.156
X2 0.000 0.000
X3 -0.292 -0.138
X4 -0.144 -0.383
X4 WITH
X3 -0.458 -0.364
X1 WITH
X3 -0.649 -0.880
X4 0.445 0.108
X2 WITH
X3 -0.014 -0.002
X4 -0.038 -0.001
X1 0.026 0.001
Means
X3 2.193 4.630
X4 3.107 1.170
X1 3.684 2.365
X2 8.227 0.492
Intercepts
Y6 3.199 1.652
Y7 3.109 1.715
Y8 4.675 1.659
Y9 3.287 1.999
Variances
X3 1.000 4.456
X4 1.000 0.142
X1 1.000 0.412
X2 1.000 0.004
Residual Variances
Y6 0.049 0.013
Y7 0.033 0.010
Y8 0.262 0.033
Y9 0.136 0.050
FB 0.196 0.196
R-SQUARE
Within Level
Observed
Variable Estimate
Y6 0.694
Y7 0.755
Y8 0.207
Y9 0.241
Latent
Variable Estimate
FW 0.067
Between Level
Observed
Variable Estimate
Y6 0.951
Y7 0.967
Y8 0.738
Y9 0.864
Latent
Variable Estimate
FB 0.804
Beginning Time: 22:57:58
Ending Time: 22:57:58
Elapsed Time: 00:00:00
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Copyright (c) 1998-2010 Muthen & Muthen
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