Mplus VERSION 7.4
MUTHEN & MUTHEN
06/02/2016 5:16 PM
INPUT INSTRUCTIONS
title: Hayes ESTRESS example, cont's X
data:
file = estress.txt;
variable:
names = tenure estress affect withdraw sex age ese;
usev = affect estress y;
define:
y = log(withdraw);
analysis:
estimator = ml;
bootstrap = 1000;
model:
y on affect (beta1)
estress (beta2);
[y] (beta0);
y (v);
affect on estress (gamma1);
[affect] (gamma0);
affect (sig);
model constraint:
new(x1 x0
ey1 ey0 mum1 mum0 ay1 ay0 bym11 bym10 bym01 bym00
eym11 eym10 eym01 eym00 tnie pnde total pnie beta3);
beta3 = 0;
x1=6.04;
x0=4.62;
ey1=exp(v/2)*exp(beta0+beta2*x1);
ey0=exp(v/2)*exp(beta0+beta2*x0);
mum1=gamma0+gamma1*x1;
mum0=gamma0+gamma1*x0;
ay1=sig*(beta1+beta3*x1);
ay0=sig*(beta1+beta3*x0);
bym11=(ay1/mum1+1);
bym10=(ay1/mum0+1);
bym01=(ay0/mum1+1);
bym00=(ay0/mum0+1);
eym11=exp((bym11*bym11-1)*mum1*mum1/(2*sig));
eym10=exp((bym10*bym10-1)*mum0*mum0/(2*sig));
eym01=exp((bym01*bym01-1)*mum1*mum1/(2*sig));
eym00=exp((bym00*bym00-1)*mum0*mum0/(2*sig));
tnie=ey1*eym11-ey1*eym10;
pnde=ey1*eym10-ey0*eym00;
total=ey1*eym11-ey0*eym00;
pnie=ey0*eym01-ey0*eym00;
plot:
type = plot3;
output:
sampstat tech1 cinterval(bootstrap);
INPUT READING TERMINATED NORMALLY
Hayes ESTRESS example, cont's X
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 262
Number of dependent variables 2
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
AFFECT Y
Observed independent variables
ESTRESS
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Number of bootstrap draws
Requested 1000
Completed 1000
Input data file(s)
estress.txt
Input data format FREE
SAMPLE STATISTICS
SAMPLE STATISTICS
Means
AFFECT Y ESTRESS
________ ________ ________
1 1.598 0.694 4.620
Covariances
AFFECT Y ESTRESS
________ ________ ________
AFFECT 0.522
Y 0.157 0.305
ESTRESS 0.349 0.059 2.019
Correlations
AFFECT Y ESTRESS
________ ________ ________
AFFECT 1.000
Y 0.394 1.000
ESTRESS 0.340 0.075 1.000
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
AFFECT 1.598 1.985 1.000 24.81% 1.000 1.160 1.330
262.000 0.522 4.631 5.000 0.76% 1.500 2.000
Y 0.694 0.016 0.000 29.77% 0.000 0.507 0.693
262.000 0.305 -1.346 1.946 0.38% 0.846 1.297
ESTRESS 4.620 -0.271 1.000 1.91% 3.500 4.000 4.500
262.000 2.019 -0.466 7.000 6.87% 5.000 6.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 7
Loglikelihood
H0 Value -463.828
H1 Value -463.828
Information Criteria
Akaike (AIC) 941.655
Bayesian (BIC) 966.633
Sample-Size Adjusted BIC 944.440
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 0.000
Degrees of Freedom 0
P-Value 0.0000
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.000
Probability RMSEA <= .05 0.000
CFI/TLI
CFI 1.000
TLI 1.000
Chi-Square Test of Model Fit for the Baseline Model
Value 77.541
Degrees of Freedom 3
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Y ON
AFFECT 0.318 0.052 6.091 0.000
ESTRESS -0.026 0.024 -1.081 0.280
AFFECT ON
ESTRESS 0.173 0.040 4.290 0.000
Intercepts
AFFECT 0.799 0.184 4.334 0.000
Y 0.305 0.115 2.641 0.008
Residual Variances
AFFECT 0.461 0.086 5.371 0.000
Y 0.256 0.014 18.347 0.000
New/Additional Parameters
X1 6.040 0.000 ********* 0.000
X0 4.620 0.000 0.000 1.000
EY1 1.319 0.142 9.320 0.000
EY0 1.369 0.124 11.069 0.000
MUM1 1.844 0.077 23.932 0.000
MUM0 1.598 0.043 36.797 0.000
AY1 0.147 0.029 5.123 0.000
AY0 0.147 0.029 5.123 0.000
BYM11 1.080 0.016 67.413 0.000
BYM10 1.092 0.017 64.562 0.000
BYM01 1.080 0.016 67.413 0.000
BYM00 1.092 0.017 64.562 0.000
EYM11 1.840 0.181 10.181 0.000
EYM10 1.702 0.148 11.489 0.000
EYM01 1.840 0.181 10.181 0.000
EYM00 1.702 0.148 11.489 0.000
TNIE 0.182 0.048 3.784 0.000
PNDE -0.084 0.076 -1.096 0.273
TOTAL 0.099 0.087 1.135 0.257
PNIE 0.189 0.051 3.693 0.000
BETA3 0.000 0.000 0.000 1.000
CONFIDENCE INTERVALS OF MODEL RESULTS
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
Y ON
AFFECT 0.196 0.220 0.236 0.318 0.408 0.433 0.474
ESTRESS -0.088 -0.073 -0.066 -0.026 0.014 0.020 0.034
AFFECT ON
ESTRESS 0.054 0.094 0.105 0.173 0.237 0.251 0.273
Intercepts
AFFECT 0.320 0.448 0.504 0.799 1.103 1.180 1.325
Y 0.024 0.072 0.109 0.305 0.501 0.535 0.604
Residual Variances
AFFECT 0.267 0.302 0.324 0.461 0.614 0.648 0.700
Y 0.214 0.226 0.231 0.256 0.276 0.282 0.288
New/Additional Parameters
X1 6.040 6.040 6.040 6.040 6.040 6.040 6.040
X0 4.620 4.620 4.620 4.620 4.620 4.620 4.620
EY1 0.993 1.052 1.096 1.319 1.577 1.629 1.730
EY0 1.067 1.128 1.170 1.369 1.578 1.626 1.684
MUM1 1.637 1.689 1.717 1.844 1.973 1.994 2.029
MUM0 1.483 1.513 1.529 1.598 1.667 1.687 1.723
AY1 0.075 0.091 0.100 0.147 0.195 0.204 0.226
AY0 0.075 0.091 0.100 0.147 0.195 0.204 0.226
BYM11 1.041 1.050 1.054 1.080 1.107 1.112 1.123
BYM10 1.048 1.058 1.064 1.092 1.119 1.125 1.135
BYM01 1.041 1.050 1.054 1.080 1.107 1.112 1.123
BYM00 1.048 1.058 1.064 1.092 1.119 1.125 1.135
EYM11 1.456 1.534 1.579 1.840 2.168 2.251 2.415
EYM10 1.378 1.438 1.483 1.702 1.970 2.032 2.148
EYM01 1.456 1.534 1.579 1.840 2.168 2.251 2.415
EYM00 1.378 1.438 1.483 1.702 1.970 2.032 2.148
TNIE 0.055 0.098 0.108 0.182 0.267 0.284 0.312
PNDE -0.278 -0.236 -0.209 -0.084 0.044 0.066 0.118
TOTAL -0.126 -0.072 -0.045 0.099 0.243 0.269 0.331
PNIE 0.058 0.102 0.113 0.189 0.279 0.301 0.329
BETA3 0.000 0.000 0.000 0.000 0.000 0.000 0.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
AFFECT Y ESTRESS
________ ________ ________
1 0 0 0
LAMBDA
AFFECT Y ESTRESS
________ ________ ________
AFFECT 0 0 0
Y 0 0 0
ESTRESS 0 0 0
THETA
AFFECT Y ESTRESS
________ ________ ________
AFFECT 0
Y 0 0
ESTRESS 0 0 0
ALPHA
AFFECT Y ESTRESS
________ ________ ________
1 1 2 0
BETA
AFFECT Y ESTRESS
________ ________ ________
AFFECT 0 0 3
Y 4 0 5
ESTRESS 0 0 0
PSI
AFFECT Y ESTRESS
________ ________ ________
AFFECT 6
Y 0 7
ESTRESS 0 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
X1 X0 EY1 EY0 MUM1
________ ________ ________ ________ ________
1 8 9 10 11 12
New/Additional Parameters
MUM0 AY1 AY0 BYM11 BYM10
________ ________ ________ ________ ________
1 13 14 15 16 17
New/Additional Parameters
BYM01 BYM00 EYM11 EYM10 EYM01
________ ________ ________ ________ ________
1 18 19 20 21 22
New/Additional Parameters
EYM00 TNIE PNDE TOTAL PNIE
________ ________ ________ ________ ________
1 23 24 25 26 27
New/Additional Parameters
BETA3
________
1 28
STARTING VALUES
NU
AFFECT Y ESTRESS
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
AFFECT Y ESTRESS
________ ________ ________
AFFECT 1.000 0.000 0.000
Y 0.000 1.000 0.000
ESTRESS 0.000 0.000 1.000
THETA
AFFECT Y ESTRESS
________ ________ ________
AFFECT 0.000
Y 0.000 0.000
ESTRESS 0.000 0.000 0.000
ALPHA
AFFECT Y ESTRESS
________ ________ ________
1 0.000 0.000 4.620
BETA
AFFECT Y ESTRESS
________ ________ ________
AFFECT 0.000 0.000 0.000
Y 0.000 0.000 0.000
ESTRESS 0.000 0.000 0.000
PSI
AFFECT Y ESTRESS
________ ________ ________
AFFECT 0.261
Y 0.000 0.152
ESTRESS 0.000 0.000 2.019
STARTING VALUES FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
X1 X0 EY1 EY0 MUM1
________ ________ ________ ________ ________
1 0.500 0.500 0.500 0.500 0.500
New/Additional Parameters
MUM0 AY1 AY0 BYM11 BYM10
________ ________ ________ ________ ________
1 0.500 0.500 0.500 0.500 0.500
New/Additional Parameters
BYM01 BYM00 EYM11 EYM10 EYM01
________ ________ ________ ________ ________
1 0.500 0.500 0.500 0.500 0.500
New/Additional Parameters
EYM00 TNIE PNDE TOTAL PNIE
________ ________ ________ ________ ________
1 0.500 0.500 0.500 0.500 0.500
New/Additional Parameters
BETA3
________
1 0.500
PLOT INFORMATION
The following plots are available:
Histograms (sample values, estimated values, residuals)
Scatterplots (sample values, estimated values, residuals)
Bootstrap distributions
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\chapter8\ex8.17.dgm
Beginning Time: 17:16:25
Ending Time: 17:16:28
Elapsed Time: 00:00:03
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