```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);

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
(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

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

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

X1            X0            EY1           EY0           MUM1
________      ________      ________      ________      ________
1                  8             9            10            11            12

MUM0          AY1           AY0           BYM11         BYM10
________      ________      ________      ________      ________
1                 13            14            15            16            17

BYM01         BYM00         EYM11         EYM10         EYM01
________      ________      ________      ________      ________
1                 18            19            20            21            22

EYM00         TNIE          PNDE          TOTAL         PNIE
________      ________      ________      ________      ________
1                 23            24            25            26            27

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

X1            X0            EY1           EY0           MUM1
________      ________      ________      ________      ________
1              0.500         0.500         0.500         0.500         0.500

MUM0          AY1           AY0           BYM11         BYM10
________      ________      ________      ________      ________
1              0.500         0.500         0.500         0.500         0.500

BYM01         BYM00         EYM11         EYM10         EYM01
________      ________      ________      ________      ________
1              0.500         0.500         0.500         0.500         0.500

EYM00         TNIE          PNDE          TOTAL         PNIE
________      ________      ________      ________      ________
1              0.500         0.500         0.500         0.500         0.500

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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