Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016 3:36 PM
INPUT INSTRUCTIONS
title: Hayes PROTEST moderation of X -> M, X->Y
as a 2-group model for X=0/1.
Modind checking for moderation.
data:
file = protest.txt;
variable:
names = sexism liking respappr protest;
usev = sexism liking respappr;
grouping = protest(0=zero 1=one);
analysis:
estimator = mlr;
model:
liking on respappr (k1)
sexism (k2);
respappr on sexism (p1);
plot:
type = plot3;
output:
sampstat tech1 modindices(3.841);
INPUT READING TERMINATED NORMALLY
Hayes PROTEST moderation of X -> M, X->Y
as a 2-group model for X=0/1.
Modind checking for moderation.
SUMMARY OF ANALYSIS
Number of groups 2
Number of observations
Group ZERO 41
Group ONE 88
Total sample size 129
Number of dependent variables 2
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
LIKING RESPAPPR
Observed independent variables
SEXISM
Variables with special functions
Grouping variable PROTEST
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
protest.txt
Input data format FREE
SAMPLE STATISTICS
SAMPLE STATISTICS FOR ZERO
Means
LIKING RESPAPPR SEXISM
________ ________ ________
1 5.310 3.884 5.071
Covariances
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 1.653
RESPAPPR 0.722 2.070
SEXISM -0.271 -0.304 0.574
Correlations
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 1.000
RESPAPPR 0.390 1.000
SEXISM -0.278 -0.279 1.000
SAMPLE STATISTICS FOR ONE
Means
LIKING RESPAPPR SEXISM
________ ________ ________
1 5.789 5.324 5.138
Covariances
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0.760
RESPAPPR 0.462 1.020
SEXISM 0.226 0.175 0.625
Correlations
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 1.000
RESPAPPR 0.525 1.000
SEXISM 0.327 0.220 1.000
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR ZERO
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
LIKING 5.310 -1.257 1.000 2.44% 4.500 5.160 5.330
41.000 1.653 2.007 7.000 7.32% 5.830 6.500
RESPAPPR 3.884 -0.056 1.500 4.88% 2.500 3.250 4.000
41.000 2.070 -1.273 6.250 2.44% 4.500 5.250
SEXISM 5.071 0.472 4.000 4.88% 4.250 4.750 5.000
41.000 0.574 -0.843 6.620 2.44% 5.120 5.750
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR ONE
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
LIKING 5.789 -0.438 3.660 1.14% 5.000 5.660 5.830
88.000 0.760 -0.690 7.000 10.23% 6.160 6.500
RESPAPPR 5.324 -0.811 1.750 1.14% 4.500 5.250 5.500
88.000 1.020 0.922 7.000 3.41% 5.750 6.250
SEXISM 5.138 -0.034 2.870 1.14% 4.500 4.870 5.120
88.000 0.625 -0.007 7.000 2.27% 5.370 5.750
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 11
Loglikelihood
H0 Value -360.227
H0 Scaling Correction Factor 1.0311
for MLR
H1 Value -354.955
H1 Scaling Correction Factor 1.0392
for MLR
Information Criteria
Akaike (AIC) 742.454
Bayesian (BIC) 773.912
Sample-Size Adjusted BIC 739.122
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 9.863*
Degrees of Freedom 3
P-Value 0.0198
Scaling Correction Factor 1.0690
for MLR
Chi-Square Contribution From Each Group
ZERO 8.532
ONE 1.331
* The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
for chi-square difference testing in the regular way. MLM, MLR and WLSM
chi-square difference testing is described on the Mplus website. MLMV, WLSMV,
and ULSMV difference testing is done using the DIFFTEST option.
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.188
90 Percent C.I. 0.066 0.325
Probability RMSEA <= .05 0.036
CFI/TLI
CFI 0.843
TLI 0.686
Chi-Square Test of Model Fit for the Baseline Model
Value 49.741
Degrees of Freedom 6
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.137
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group ZERO
LIKING ON
RESPAPPR 0.410 0.068 6.011 0.000
SEXISM 0.181 0.081 2.237 0.025
RESPAPPR ON
SEXISM 0.150 0.122 1.232 0.218
Intercepts
LIKING 2.801 0.457 6.134 0.000
RESPAPPR 3.125 0.641 4.877 0.000
Residual Variances
LIKING 1.480 0.459 3.223 0.001
RESPAPPR 2.174 0.302 7.197 0.000
Group ONE
LIKING ON
RESPAPPR 0.410 0.068 6.011 0.000
SEXISM 0.181 0.081 2.237 0.025
RESPAPPR ON
SEXISM 0.150 0.122 1.232 0.218
Intercepts
LIKING 2.676 0.458 5.846 0.000
RESPAPPR 4.554 0.629 7.236 0.000
Residual Variances
LIKING 0.517 0.073 7.095 0.000
RESPAPPR 0.982 0.176 5.577 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.286E-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 3.841
M.I. E.P.C. Std E.P.C. StdYX E.P.C.
Group ZERO
ON Statements
RESPAPPR ON RESPAPPR 5.570 -5.410 -5.410 -5.410
RESPAPPR ON SEXISM 5.568 -0.679 -0.679 -0.348
WITH Statements
SEXISM WITH RESPAPPR 5.568 -0.465 -0.465 -0.416
Group ONE
ON Statements
RESPAPPR ON RESPAPPR 5.560 5.405 5.405 5.405
RESPAPPR ON SEXISM 5.567 0.131 0.131 0.104
WITH Statements
SEXISM WITH RESPAPPR 5.567 0.506 0.506 0.646
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION FOR ZERO
NU
LIKING RESPAPPR SEXISM
________ ________ ________
1 0 0 0
LAMBDA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0 0 0
RESPAPPR 0 0 0
SEXISM 0 0 0
THETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0
RESPAPPR 0 0
SEXISM 0 0 0
ALPHA
LIKING RESPAPPR SEXISM
________ ________ ________
1 1 2 0
BETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0 3 4
RESPAPPR 0 0 5
SEXISM 0 0 0
PSI
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 6
RESPAPPR 0 7
SEXISM 0 0 0
PARAMETER SPECIFICATION FOR ONE
NU
LIKING RESPAPPR SEXISM
________ ________ ________
1 0 0 0
LAMBDA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0 0 0
RESPAPPR 0 0 0
SEXISM 0 0 0
THETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0
RESPAPPR 0 0
SEXISM 0 0 0
ALPHA
LIKING RESPAPPR SEXISM
________ ________ ________
1 8 9 0
BETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0 3 4
RESPAPPR 0 0 5
SEXISM 0 0 0
PSI
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 10
RESPAPPR 0 11
SEXISM 0 0 0
STARTING VALUES FOR ZERO
NU
LIKING RESPAPPR SEXISM
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 1.000 0.000 0.000
RESPAPPR 0.000 1.000 0.000
SEXISM 0.000 0.000 1.000
THETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0.000
RESPAPPR 0.000 0.000
SEXISM 0.000 0.000 0.000
ALPHA
LIKING RESPAPPR SEXISM
________ ________ ________
1 5.310 3.884 5.071
BETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0.000 0.000 0.000
RESPAPPR 0.000 0.000 0.000
SEXISM 0.000 0.000 0.000
PSI
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0.826
RESPAPPR 0.000 1.035
SEXISM 0.000 0.000 0.574
STARTING VALUES FOR ONE
NU
LIKING RESPAPPR SEXISM
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 1.000 0.000 0.000
RESPAPPR 0.000 1.000 0.000
SEXISM 0.000 0.000 1.000
THETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0.000
RESPAPPR 0.000 0.000
SEXISM 0.000 0.000 0.000
ALPHA
LIKING RESPAPPR SEXISM
________ ________ ________
1 5.310 3.884 5.138
BETA
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0.000 0.000 0.000
RESPAPPR 0.000 0.000 0.000
SEXISM 0.000 0.000 0.000
PSI
LIKING RESPAPPR SEXISM
________ ________ ________
LIKING 0.826
RESPAPPR 0.000 1.035
SEXISM 0.000 0.000 0.625
PLOT INFORMATION
The following plots are available:
Histograms (sample values, estimated values, residuals)
Scatterplots (sample values, estimated values, residuals)
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\gryphon\desktop\chapter3\ex3.28.dgm
Beginning Time: 15:36:50
Ending Time: 15:36:50
Elapsed Time: 00:00:00
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