Mplus VERSION 8.6
MUTHEN & MUTHEN
03/18/2021 3:30 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE:
Wheaton et al model.
Classic version with metric invariance
and residual correlations
DATA:
FILE = table2.txt; ! from the 1977 chapter
TYPE = correlation means stdeviations;
NOBSERVATIONS = 932;
VARIABLE:
NAMES = educ66 sei66 anomia66 power66 latin66 sei67
anomia67 power67 latin67 sei71 anomia71 power71 latin71;
USEV = educ66 sei66 anomia66 power66
anomia67 power67 anomia71 power71;
MODEL:
ses by educ66 sei66;
f1 by anomia66* power66 (p1-p2);
f2 by anomia67* power67 (p1-p2);
f3 by anomia71* power71 (p1-p2);
f1@1;
f1 on ses;
f2 on f1 ses;
f3 on f2 ses;
anomia66 with anomia67;
anomia67 with anomia71;
power66 with power67;
power67 with power71;
OUTPUT:
tech1 modindices standardized;
INPUT READING TERMINATED NORMALLY
Wheaton et al model.
Classic version with metric invariance
and residual correlations
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 932
Number of dependent variables 8
Number of independent variables 0
Number of continuous latent variables 4
Observed dependent variables
Continuous
EDUC66 SEI66 ANOMIA66 POWER66 ANOMIA67 POWER67
ANOMIA71 POWER71
Continuous latent variables
SES F1 F2 F3
Estimator ML
Information matrix EXPECTED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
table2.txt
Input data format FREE
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 31
Loglikelihood
H0 Value -19454.597
H1 Value -19409.577
Information Criteria
Akaike (AIC) 38971.195
Bayesian (BIC) 39121.152
Sample-Size Adjusted BIC 39022.699
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 90.040
Degrees of Freedom 13
P-Value 0.0000
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.080
90 Percent C.I. 0.065 0.096
Probability RMSEA <= .05 0.001
CFI/TLI
CFI 0.979
TLI 0.954
Chi-Square Test of Model Fit for the Baseline Model
Value 3642.817
Degrees of Freedom 28
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.028
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC66 1.000 0.000 999.000 999.000
SEI66 5.229 0.408 12.808 0.000
F1 BY
ANOMIA66 2.538 0.098 25.952 0.000
POWER66 2.383 0.091 26.216 0.000
F2 BY
ANOMIA67 2.538 0.098 25.952 0.000
POWER67 2.383 0.091 26.216 0.000
F3 BY
ANOMIA71 2.538 0.098 25.952 0.000
POWER71 2.383 0.091 26.216 0.000
F1 ON
SES -0.244 0.026 -9.496 0.000
F2 ON
F1 0.667 0.034 19.878 0.000
SES -0.071 0.016 -4.416 0.000
F3 ON
F2 0.673 0.047 14.309 0.000
SES -0.070 0.020 -3.490 0.000
ANOMIA66 WITH
ANOMIA67 1.608 0.252 6.381 0.000
ANOMIA67 WITH
ANOMIA71 0.841 0.209 4.027 0.000
POWER66 WITH
POWER67 0.342 0.204 1.678 0.093
POWER67 WITH
POWER71 0.363 0.179 2.029 0.042
Intercepts
EDUC66 10.900 0.101 107.400 0.000
SEI66 37.490 0.695 53.965 0.000
ANOMIA66 13.700 0.120 114.313 0.000
POWER66 14.850 0.107 138.347 0.000
ANOMIA67 13.610 0.112 121.406 0.000
POWER67 14.760 0.100 147.025 0.000
ANOMIA71 14.130 0.115 123.089 0.000
POWER71 14.900 0.105 142.157 0.000
Variances
SES 6.771 0.631 10.726 0.000
Residual Variances
EDUC66 2.829 0.485 5.835 0.000
SEI66 264.667 17.701 14.952 0.000
ANOMIA66 4.345 0.366 11.872 0.000
POWER66 2.767 0.300 9.230 0.000
ANOMIA67 4.423 0.322 13.732 0.000
POWER67 2.966 0.270 10.981 0.000
ANOMIA71 4.222 0.352 11.988 0.000
POWER71 3.133 0.296 10.583 0.000
F1 1.000 0.000 999.000 999.000
F2 0.316 0.039 8.111 0.000
F3 0.557 0.059 9.383 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.324E-03
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC66 0.840 0.031 27.519 0.000
SEI66 0.642 0.029 21.867 0.000
F1 BY
ANOMIA66 0.822 0.016 50.068 0.000
POWER66 0.862 0.016 53.348 0.000
F2 BY
ANOMIA67 0.789 0.017 46.082 0.000
POWER67 0.827 0.017 48.469 0.000
F3 BY
ANOMIA71 0.810 0.017 47.255 0.000
POWER71 0.833 0.017 48.972 0.000
F1 ON
SES -0.536 0.034 -15.736 0.000
F2 ON
F1 0.743 0.030 24.466 0.000
SES -0.174 0.037 -4.643 0.000
F3 ON
F2 0.640 0.039 16.389 0.000
SES -0.163 0.045 -3.642 0.000
ANOMIA66 WITH
ANOMIA67 0.367 0.042 8.727 0.000
ANOMIA67 WITH
ANOMIA71 0.195 0.043 4.526 0.000
POWER66 WITH
POWER67 0.120 0.065 1.852 0.064
POWER67 WITH
POWER71 0.119 0.054 2.190 0.029
Intercepts
EDUC66 3.518 0.088 40.059 0.000
SEI66 1.768 0.052 33.713 0.000
ANOMIA66 3.744 0.091 41.331 0.000
POWER66 4.532 0.108 42.141 0.000
ANOMIA67 3.977 0.095 42.063 0.000
POWER67 4.816 0.112 43.091 0.000
ANOMIA71 4.032 0.096 41.817 0.000
POWER71 4.657 0.110 42.285 0.000
Variances
SES 1.000 0.000 999.000 999.000
Residual Variances
EDUC66 0.295 0.051 5.749 0.000
SEI66 0.588 0.038 15.630 0.000
ANOMIA66 0.325 0.027 12.029 0.000
POWER66 0.258 0.028 9.258 0.000
ANOMIA67 0.378 0.027 13.979 0.000
POWER67 0.316 0.028 11.186 0.000
ANOMIA71 0.344 0.028 12.377 0.000
POWER71 0.306 0.028 10.797 0.000
F1 0.712 0.037 19.478 0.000
F2 0.279 0.028 9.963 0.000
F3 0.445 0.033 13.512 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC66 0.840 0.031 27.519 0.000
SEI66 0.642 0.029 21.867 0.000
F1 BY
ANOMIA66 0.822 0.016 50.068 0.000
POWER66 0.862 0.016 53.348 0.000
F2 BY
ANOMIA67 0.789 0.017 46.082 0.000
POWER67 0.827 0.017 48.469 0.000
F3 BY
ANOMIA71 0.810 0.017 47.255 0.000
POWER71 0.833 0.017 48.972 0.000
F1 ON
SES -0.536 0.034 -15.736 0.000
F2 ON
F1 0.743 0.030 24.466 0.000
SES -0.174 0.037 -4.643 0.000
F3 ON
F2 0.640 0.039 16.389 0.000
SES -0.163 0.045 -3.642 0.000
ANOMIA66 WITH
ANOMIA67 0.367 0.042 8.727 0.000
ANOMIA67 WITH
ANOMIA71 0.195 0.043 4.526 0.000
POWER66 WITH
POWER67 0.120 0.065 1.852 0.064
POWER67 WITH
POWER71 0.119 0.054 2.190 0.029
Intercepts
EDUC66 3.518 0.088 40.059 0.000
SEI66 1.768 0.052 33.713 0.000
ANOMIA66 3.744 0.091 41.331 0.000
POWER66 4.532 0.108 42.141 0.000
ANOMIA67 3.977 0.095 42.063 0.000
POWER67 4.816 0.112 43.091 0.000
ANOMIA71 4.032 0.096 41.817 0.000
POWER71 4.657 0.110 42.285 0.000
Variances
SES 1.000 0.000 999.000 999.000
Residual Variances
EDUC66 0.295 0.051 5.749 0.000
SEI66 0.588 0.038 15.630 0.000
ANOMIA66 0.325 0.027 12.029 0.000
POWER66 0.258 0.028 9.258 0.000
ANOMIA67 0.378 0.027 13.979 0.000
POWER67 0.316 0.028 11.186 0.000
ANOMIA71 0.344 0.028 12.377 0.000
POWER71 0.306 0.028 10.797 0.000
F1 0.712 0.037 19.478 0.000
F2 0.279 0.028 9.963 0.000
F3 0.445 0.033 13.512 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
SES BY
EDUC66 2.602 0.121 21.451 0.000
SEI66 13.607 0.777 17.516 0.000
F1 BY
ANOMIA66 3.007 0.101 29.745 0.000
POWER66 2.823 0.091 31.109 0.000
F2 BY
ANOMIA67 2.700 0.095 28.377 0.000
POWER67 2.535 0.084 30.009 0.000
F3 BY
ANOMIA71 2.839 0.097 29.333 0.000
POWER71 2.666 0.089 29.975 0.000
F1 ON
SES -0.536 0.034 -15.736 0.000
F2 ON
F1 0.743 0.030 24.466 0.000
SES -0.174 0.037 -4.643 0.000
F3 ON
F2 0.640 0.039 16.389 0.000
SES -0.163 0.045 -3.642 0.000
ANOMIA66 WITH
ANOMIA67 1.608 0.252 6.381 0.000
ANOMIA67 WITH
ANOMIA71 0.841 0.209 4.027 0.000
POWER66 WITH
POWER67 0.342 0.204 1.678 0.093
POWER67 WITH
POWER71 0.363 0.179 2.029 0.042
Intercepts
EDUC66 10.900 0.101 107.400 0.000
SEI66 37.490 0.695 53.965 0.000
ANOMIA66 13.700 0.120 114.313 0.000
POWER66 14.850 0.107 138.347 0.000
ANOMIA67 13.610 0.112 121.406 0.000
POWER67 14.760 0.100 147.025 0.000
ANOMIA71 14.130 0.115 123.089 0.000
POWER71 14.900 0.105 142.157 0.000
Variances
SES 1.000 0.000 999.000 999.000
Residual Variances
EDUC66 2.829 0.485 5.835 0.000
SEI66 264.667 17.701 14.952 0.000
ANOMIA66 4.345 0.366 11.872 0.000
POWER66 2.767 0.300 9.230 0.000
ANOMIA67 4.423 0.322 13.732 0.000
POWER67 2.966 0.270 10.981 0.000
ANOMIA71 4.222 0.352 11.988 0.000
POWER71 3.133 0.296 10.583 0.000
F1 0.712 0.037 19.478 0.000
F2 0.279 0.028 9.963 0.000
F3 0.445 0.033 13.512 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
EDUC66 0.705 0.051 13.760 0.000
SEI66 0.412 0.038 10.933 0.000
ANOMIA66 0.675 0.027 25.034 0.000
POWER66 0.742 0.028 26.674 0.000
ANOMIA67 0.622 0.027 23.041 0.000
POWER67 0.684 0.028 24.234 0.000
ANOMIA71 0.656 0.028 23.627 0.000
POWER71 0.694 0.028 24.486 0.000
Latent Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
F1 0.288 0.037 7.868 0.000
F2 0.721 0.028 25.760 0.000
F3 0.555 0.033 16.872 0.000
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 10.000
M.I. E.P.C. Std E.P.C. StdYX E.P.C.
BY Statements
F1 BY ANOMIA71 17.953 0.412 0.489 0.139
F3 BY POWER66 13.077 0.333 0.372 0.114
ON/BY Statements
F1 ON F3 /
F3 BY F1 33.184 0.763 0.720 0.720
F2 ON F3 /
F3 BY F2 33.185 -0.361 -0.379 -0.379
F3 ON F1 /
F1 BY F3 33.189 0.425 0.450 0.450
WITH Statements
SEI66 WITH EDUC66 999.000 0.000 0.000 0.000
POWER67 WITH ANOMIA67 33.190 1.805 1.805 0.498
ANOMIA71 WITH ANOMIA66 54.398 1.638 1.638 0.383
ANOMIA71 WITH POWER67 15.795 -0.932 -0.932 -0.263
POWER71 WITH ANOMIA66 13.650 -0.638 -0.638 -0.173
POWER71 WITH POWER66 23.571 0.905 0.905 0.308
F3 WITH F1 33.188 0.425 0.569 0.569
F3 WITH F2 33.186 -0.201 -0.479 -0.479
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
EDUC66 SEI66 ANOMIA66 POWER66 ANOMIA67
________ ________ ________ ________ ________
1 2 3 4 5
NU
POWER67 ANOMIA71 POWER71
________ ________ ________
6 7 8
LAMBDA
SES F1 F2 F3
________ ________ ________ ________
EDUC66 0 0 0 0
SEI66 9 0 0 0
ANOMIA66 0 10 0 0
POWER66 0 11 0 0
ANOMIA67 0 0 10 0
POWER67 0 0 11 0
ANOMIA71 0 0 0 10
POWER71 0 0 0 11
THETA
EDUC66 SEI66 ANOMIA66 POWER66 ANOMIA67
________ ________ ________ ________ ________
EDUC66 12
SEI66 0 13
ANOMIA66 0 0 14
POWER66 0 0 0 15
ANOMIA67 0 0 16 0 17
POWER67 0 0 0 18 0
ANOMIA71 0 0 0 0 20
POWER71 0 0 0 0 0
THETA
POWER67 ANOMIA71 POWER71
________ ________ ________
POWER67 19
ANOMIA71 0 21
POWER71 22 0 23
ALPHA
SES F1 F2 F3
________ ________ ________ ________
0 0 0 0
BETA
SES F1 F2 F3
________ ________ ________ ________
SES 0 0 0 0
F1 24 0 0 0
F2 25 26 0 0
F3 27 0 28 0
PSI
SES F1 F2 F3
________ ________ ________ ________
SES 29
F1 0 0
F2 0 0 30
F3 0 0 0 31
STARTING VALUES
NU
EDUC66 SEI66 ANOMIA66 POWER66 ANOMIA67
________ ________ ________ ________ ________
10.900 37.490 13.700 14.850 13.610
NU
POWER67 ANOMIA71 POWER71
________ ________ ________
14.760 14.130 14.900
LAMBDA
SES F1 F2 F3
________ ________ ________ ________
EDUC66 1.000 0.000 0.000 0.000
SEI66 1.000 0.000 0.000 0.000
ANOMIA66 0.000 1.000 0.000 0.000
POWER66 0.000 1.000 0.000 0.000
ANOMIA67 0.000 0.000 1.000 0.000
POWER67 0.000 0.000 1.000 0.000
ANOMIA71 0.000 0.000 0.000 1.000
POWER71 0.000 0.000 0.000 1.000
THETA
EDUC66 SEI66 ANOMIA66 POWER66 ANOMIA67
________ ________ ________ ________ ________
EDUC66 4.805
SEI66 0.000 225.144
ANOMIA66 0.000 0.000 6.480
POWER66 0.000 0.000 0.000 5.478
ANOMIA67 0.000 0.000 0.000 0.000 5.917
POWER67 0.000 0.000 0.000 0.000 0.000
ANOMIA71 0.000 0.000 0.000 0.000 0.000
POWER71 0.000 0.000 0.000 0.000 0.000
THETA
POWER67 ANOMIA71 POWER71
________ ________ ________
POWER67 4.682
ANOMIA71 0.000 6.266
POWER71 0.000 0.000 4.993
ALPHA
SES F1 F2 F3
________ ________ ________ ________
0.000 0.000 0.000 0.000
BETA
SES F1 F2 F3
________ ________ ________ ________
SES 0.000 0.000 0.000 0.000
F1 0.000 0.000 0.000 0.000
F2 0.000 0.000 0.000 0.000
F3 0.000 0.000 0.000 0.000
PSI
SES F1 F2 F3
________ ________ ________ ________
SES 0.050
F1 0.000 1.000
F2 0.000 0.000 0.050
F3 0.000 0.000 0.000 0.050
DIAGRAM INFORMATION
Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
If running Mplus from the Mplus Diagrammer, the diagram opens automatically.
Diagram output
c:\users\bmuth\documents\2009-2020 beamer talks\2021 march web talk 3\outputs\1 wheaton classic res covs metric inva
Beginning Time: 15:30:14
Ending Time: 15:30:14
Elapsed Time: 00:00:00
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