```Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   3:27 AM

INPUT INSTRUCTIONS

TITLE:	this is an example of a simple linear
regression for a continuous observed
dependent variable with two covariates
MONTECARLO:
NAMES = y1 x1 x3;
NOBSERVATIONS = 500;
NREPS = 1;
SEED = 53487;
SAVE = ex3.1.dat;
MODEL POPULATION:
[x1-x3@0];
x1-x3@1;
y1 ON x1*1 x3*.5;
y1*1;
[y1*.5];
MODEL:
y1 ON x1*1 x3*.5;
y1*1;
[y1*.5];

this is an example of a simple linear
regression for a continuous observed
dependent variable with two covariates

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         500

Number of replications
Requested                                                    1
Completed                                                    1
Value of seed                                                53487

Number of dependent variables                                    1
Number of independent variables                                  2
Number of continuous latent variables                            0

Observed dependent variables

Continuous
Y1

Observed independent variables
X1          X3

Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20

SAMPLE STATISTICS FOR THE FIRST REPLICATION

SAMPLE STATISTICS

Means
Y1            X1            X3
________      ________      ________
0.485         0.001        -0.042

Covariances
Y1            X1            X3
________      ________      ________
Y1             2.408
X1             1.078         1.094
X3             0.648         0.028         0.957

Correlations
Y1            X1            X3
________      ________      ________
Y1             1.000
X1             0.665         1.000
X3             0.427         0.028         1.000

MODEL FIT INFORMATION

Number of Free Parameters                        4

Loglikelihood

H0 Value

Mean                              -694.334
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         -694.334       -694.334
0.980       0.000         -694.334       -694.334
0.950       0.000         -694.334       -694.334
0.900       0.000         -694.334       -694.334
0.800       0.000         -694.334       -694.334
0.700       0.000         -694.334       -694.334
0.500       0.000         -694.334       -694.334
0.300       0.000         -694.334       -694.334
0.200       0.000         -694.334       -694.334
0.100       0.000         -694.334       -694.334
0.050       0.000         -694.334       -694.334
0.020       0.000         -694.334       -694.334
0.010       0.000         -694.334       -694.334

H1 Value

Mean                              -694.334
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         -694.334       -694.334
0.980       0.000         -694.334       -694.334
0.950       0.000         -694.334       -694.334
0.900       0.000         -694.334       -694.334
0.800       0.000         -694.334       -694.334
0.700       0.000         -694.334       -694.334
0.500       0.000         -694.334       -694.334
0.300       0.000         -694.334       -694.334
0.200       0.000         -694.334       -694.334
0.100       0.000         -694.334       -694.334
0.050       0.000         -694.334       -694.334
0.020       0.000         -694.334       -694.334
0.010       0.000         -694.334       -694.334

Information Criteria

Akaike (AIC)

Mean                              1396.667
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         1396.667       1396.667
0.980       0.000         1396.667       1396.667
0.950       0.000         1396.667       1396.667
0.900       0.000         1396.667       1396.667
0.800       0.000         1396.667       1396.667
0.700       0.000         1396.667       1396.667
0.500       0.000         1396.667       1396.667
0.300       0.000         1396.667       1396.667
0.200       0.000         1396.667       1396.667
0.100       0.000         1396.667       1396.667
0.050       0.000         1396.667       1396.667
0.020       0.000         1396.667       1396.667
0.010       0.000         1396.667       1396.667

Bayesian (BIC)

Mean                              1413.526
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         1413.526       1413.526
0.980       0.000         1413.526       1413.526
0.950       0.000         1413.526       1413.526
0.900       0.000         1413.526       1413.526
0.800       0.000         1413.526       1413.526
0.700       0.000         1413.526       1413.526
0.500       0.000         1413.526       1413.526
0.300       0.000         1413.526       1413.526
0.200       0.000         1413.526       1413.526
0.100       0.000         1413.526       1413.526
0.050       0.000         1413.526       1413.526
0.020       0.000         1413.526       1413.526
0.010       0.000         1413.526       1413.526

Sample-Size Adjusted BIC (n* = (n + 2) / 24)

Mean                              1400.830
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000         1400.830       1400.830
0.980       0.000         1400.830       1400.830
0.950       0.000         1400.830       1400.830
0.900       0.000         1400.830       1400.830
0.800       0.000         1400.830       1400.830
0.700       0.000         1400.830       1400.830
0.500       0.000         1400.830       1400.830
0.300       0.000         1400.830       1400.830
0.200       0.000         1400.830       1400.830
0.100       0.000         1400.830       1400.830
0.050       0.000         1400.830       1400.830
0.020       0.000         1400.830       1400.830
0.010       0.000         1400.830       1400.830

Chi-Square Test of Model Fit

Degrees of freedom                       0

Mean                                 0.000
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       1.000            0.000          0.000
0.980       1.000            0.000          0.000
0.950       1.000            0.000          0.000
0.900       1.000            0.000          0.000
0.800       1.000            0.000          0.000
0.700       1.000            0.000          0.000
0.500       1.000            0.000          0.000
0.300       1.000            0.000          0.000
0.200       1.000            0.000          0.000
0.100       1.000            0.000          0.000
0.050       1.000            0.000          0.000
0.020       1.000            0.000          0.000
0.010       1.000            0.000          0.000

RMSEA (Root Mean Square Error Of Approximation)

Mean                                 0.000
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000            0.000          0.000
0.980       0.000            0.000          0.000
0.950       0.000            0.000          0.000
0.900       0.000            0.000          0.000
0.800       0.000            0.000          0.000
0.700       0.000            0.000          0.000
0.500       0.000            0.000          0.000
0.300       0.000            0.000          0.000
0.200       0.000            0.000          0.000
0.100       0.000            0.000          0.000
0.050       0.000            0.000          0.000
0.020       0.000            0.000          0.000
0.010       0.000            0.000          0.000

SRMR (Standardized Root Mean Square Residual)

Mean                                 0.000
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000            0.000          0.000
0.980       0.000            0.000          0.000
0.950       0.000            0.000          0.000
0.900       0.000            0.000          0.000
0.800       0.000            0.000          0.000
0.700       0.000            0.000          0.000
0.500       0.000            0.000          0.000
0.300       0.000            0.000          0.000
0.200       0.000            0.000          0.000
0.100       0.000            0.000          0.000
0.050       0.000            0.000          0.000
0.020       0.000            0.000          0.000
0.010       0.000            0.000          0.000

MODEL RESULTS

ESTIMATES              S. E.     M. S. E.  95%  % Sig
Population   Average   Std. Dev.   Average             Cover Coeff
Y1       ON
X1                  1.000     0.9695     0.0000     0.0415     0.0009 1.000 1.000
X3                  0.500     0.6490     0.0000     0.0444     0.0222 0.000 1.000

Intercepts
Y1                  0.500     0.5110     0.0000     0.0434     0.0001 1.000 1.000

Residual Variances
Y1                  1.000     0.9413     0.0000     0.0595     0.0034 1.000 1.000

QUALITY OF NUMERICAL RESULTS

Average Condition Number for the Information Matrix      0.483E+00
(ratio of smallest to largest eigenvalue)

TECHNICAL OUTPUT

PARAMETER SPECIFICATION

NU
Y1            X1            X3
________      ________      ________
0             0             0

LAMBDA
Y1            X1            X3
________      ________      ________
Y1                 0             0             0
X1                 0             0             0
X3                 0             0             0

THETA
Y1            X1            X3
________      ________      ________
Y1                 0
X1                 0             0
X3                 0             0             0

ALPHA
Y1            X1            X3
________      ________      ________
1             0             0

BETA
Y1            X1            X3
________      ________      ________
Y1                 0             2             3
X1                 0             0             0
X3                 0             0             0

PSI
Y1            X1            X3
________      ________      ________
Y1                 4
X1                 0             0
X3                 0             0             0

STARTING VALUES

NU
Y1            X1            X3
________      ________      ________
0.000         0.000         0.000

LAMBDA
Y1            X1            X3
________      ________      ________
Y1             1.000         0.000         0.000
X1             0.000         1.000         0.000
X3             0.000         0.000         1.000

THETA
Y1            X1            X3
________      ________      ________
Y1             0.000
X1             0.000         0.000
X3             0.000         0.000         0.000

ALPHA
Y1            X1            X3
________      ________      ________
0.500         0.001        -0.042

BETA
Y1            X1            X3
________      ________      ________
Y1             0.000         1.000         0.500
X1             0.000         0.000         0.000
X3             0.000         0.000         0.000

PSI
Y1            X1            X3
________      ________      ________
Y1             1.000
X1             0.000         1.094
X3             0.000         0.028         0.957

POPULATION VALUES

NU
Y1            X1            X3
________      ________      ________
0.000         0.000         0.000

LAMBDA
Y1            X1            X3
________      ________      ________
Y1             1.000         0.000         0.000
X1             0.000         1.000         0.000
X3             0.000         0.000         1.000

THETA
Y1            X1            X3
________      ________      ________
Y1             0.000
X1             0.000         0.000
X3             0.000         0.000         0.000

ALPHA
Y1            X1            X3
________      ________      ________
0.500         0.000         0.000

BETA
Y1            X1            X3
________      ________      ________
Y1             0.000         1.000         0.500
X1             0.000         0.000         0.000
X3             0.000         0.000         0.000

PSI
Y1            X1            X3
________      ________      ________
Y1             1.000
X1             0.000         1.000
X3             0.000         0.000         1.000

SAVEDATA INFORMATION

Order of variables

Y1
X1
X3

Save file
ex3.1.dat

Save file format           Free
Save file record length    10000

Beginning Time:  03:27:49
Ending Time:  03:27:49
Elapsed Time:  00:00:00

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Los Angeles, CA  90066

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