Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016 3:04 PM
INPUT INSTRUCTIONS
title:
data:
file = confreplist.dat;
type = montecarlo;
variable:
names = y m x c;
usevariables = y m x;
analysis:
model:
y on m*.5 (b);
m on x*.5 (a);
y*.54;
m*.59;
[y*0];
[m*0];
model constraint:
new(ind*.25);
ind = a*b;
output:
INPUT READING TERMINATED NORMALLY
SUMMARY OF ANALYSIS
Number of groups 1
Average number of observations 400
Number of replications
Requested 500
Completed 500
Number of dependent variables 2
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y M
Observed independent variables
X
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
Multiple data files from
confreplist.dat
Input data format FREE
SAMPLE STATISTICS
NOTE: These are average results over 500 data sets.
SAMPLE STATISTICS
Means
Y M X
________ ________ ________
1 0.127 0.252 0.499
Covariances
Y M X
________ ________ ________
Y 0.955
M 0.526 0.811
X 0.062 0.125 0.249
Correlations
Y M X
________ ________ ________
Y 1.000
M 0.598 1.000
X 0.126 0.278 1.000
MODEL FIT INFORMATION
Number of Free Parameters 6
Loglikelihood
H0 Value
Mean -977.698
Std Dev 19.751
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -1023.643 -1022.364
0.980 0.986 -1018.259 -1016.363
0.950 0.950 -1010.185 -1010.866
0.900 0.904 -1003.010 -1002.955
0.800 0.820 -994.320 -993.091
0.700 0.712 -988.055 -987.680
0.500 0.490 -977.698 -977.904
0.300 0.290 -967.340 -968.394
0.200 0.188 -961.076 -962.583
0.100 0.098 -952.385 -952.478
0.050 0.056 -945.210 -944.132
0.020 0.024 -937.136 -935.645
0.010 0.018 -931.752 -929.233
H1 Value
Mean -976.697
Std Dev 19.761
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -1022.667 -1021.555
0.980 0.986 -1017.280 -1015.834
0.950 0.948 -1009.201 -1009.765
0.900 0.904 -1002.022 -1001.697
0.800 0.820 -993.327 -992.344
0.700 0.712 -987.059 -986.517
0.500 0.496 -976.697 -976.794
0.300 0.286 -966.334 -967.215
0.200 0.188 -960.066 -961.083
0.100 0.100 -951.371 -951.509
0.050 0.056 -944.192 -942.958
0.020 0.026 -936.113 -935.608
0.010 0.016 -930.726 -929.233
Information Criteria
Akaike (AIC)
Mean 1967.395
Std Dev 39.501
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.982 1875.504 1858.855
0.980 0.976 1886.272 1880.433
0.950 0.944 1902.420 1900.021
0.900 0.902 1916.771 1915.713
0.800 0.812 1934.151 1936.732
0.700 0.710 1946.681 1948.344
0.500 0.510 1967.395 1967.786
0.300 0.288 1988.110 1987.125
0.200 0.180 2000.639 1998.085
0.100 0.096 2018.020 2016.855
0.050 0.050 2032.371 2032.090
0.020 0.014 2048.519 2044.362
0.010 0.006 2059.287 2055.775
Bayesian (BIC)
Mean 1991.344
Std Dev 39.501
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.982 1899.453 1882.804
0.980 0.976 1910.221 1904.382
0.950 0.944 1926.369 1923.970
0.900 0.902 1940.719 1939.662
0.800 0.812 1958.100 1960.680
0.700 0.710 1970.630 1972.293
0.500 0.510 1991.344 1991.734
0.300 0.288 2012.059 2011.074
0.200 0.180 2024.588 2022.033
0.100 0.096 2041.969 2040.804
0.050 0.050 2056.320 2056.039
0.020 0.014 2072.468 2068.311
0.010 0.006 2083.236 2079.723
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 1972.306
Std Dev 39.501
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.982 1880.414 1863.765
0.980 0.976 1891.182 1885.344
0.950 0.944 1907.330 1904.932
0.900 0.902 1921.681 1920.623
0.800 0.812 1939.062 1941.642
0.700 0.710 1951.591 1953.254
0.500 0.510 1972.306 1972.696
0.300 0.288 1993.020 1992.036
0.200 0.180 2005.550 2002.995
0.100 0.096 2022.930 2021.765
0.050 0.050 2037.281 2037.001
0.020 0.014 2053.429 2049.272
0.010 0.006 2064.197 2060.685
Chi-Square Test of Model Fit
Degrees of freedom 1
Mean 2.002
Std Dev 2.444
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.996 0.000 0.001
0.980 0.992 0.001 0.004
0.950 0.980 0.004 0.018
0.900 0.958 0.016 0.044
0.800 0.870 0.064 0.141
0.700 0.798 0.148 0.370
0.500 0.662 0.455 1.146
0.300 0.518 1.074 2.430
0.200 0.408 1.642 3.374
0.100 0.264 2.706 5.073
0.050 0.170 3.841 6.828
0.020 0.088 5.412 9.332
0.010 0.052 6.635 11.074
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.037
Std Dev 0.044
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.065 0.000
0.980 1.000 -0.053 0.000
0.950 1.000 -0.035 0.000
0.900 1.000 -0.019 0.000
0.800 0.530 0.000 0.000
0.700 0.518 0.014 0.000
0.500 0.414 0.037 0.019
0.300 0.298 0.060 0.060
0.200 0.218 0.074 0.077
0.100 0.136 0.094 0.101
0.050 0.072 0.110 0.121
0.020 0.036 0.128 0.144
0.010 0.026 0.140 0.159
CFI/TLI
CFI
Mean 0.994
Std Dev 0.010
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.962 0.970 0.949
0.980 0.950 0.973 0.960
0.950 0.928 0.977 0.972
0.900 0.894 0.981 0.980
0.800 0.838 0.985 0.989
0.700 0.804 0.988 0.993
0.500 0.686 0.994 0.999
0.300 0.518 0.999 1.000
0.200 0.000 1.002 1.000
0.100 0.000 1.007 1.000
0.050 0.000 1.011 1.000
0.020 0.000 1.015 1.000
0.010 0.000 1.018 1.000
TLI
Mean 0.986
Std Dev 0.034
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.962 0.907 0.847
0.980 0.952 0.916 0.881
0.950 0.930 0.930 0.917
0.900 0.894 0.942 0.940
0.800 0.832 0.957 0.966
0.700 0.786 0.968 0.979
0.500 0.630 0.986 0.998
0.300 0.412 1.004 1.009
0.200 0.076 1.014 1.012
0.100 0.000 1.029 1.014
0.050 0.000 1.042 1.015
0.020 0.000 1.056 1.016
0.010 0.000 1.065 1.017
SRMR (Standardized Root Mean Square Residual)
Mean 0.015
Std Dev 0.010
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.009 0.000
0.980 1.000 -0.006 0.001
0.950 1.000 -0.002 0.002
0.900 0.942 0.002 0.003
0.800 0.750 0.006 0.005
0.700 0.634 0.010 0.008
0.500 0.444 0.015 0.014
0.300 0.298 0.020 0.020
0.200 0.204 0.024 0.024
0.100 0.116 0.028 0.029
0.050 0.068 0.032 0.033
0.020 0.034 0.036 0.039
0.010 0.024 0.039 0.043
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y ON
M 0.500 0.6481 0.0450 0.0435 0.0239 0.092 1.000
M ON
X 0.500 0.5022 0.0835 0.0865 0.0070 0.960 1.000
Intercepts
Y 0.000 -0.0361 0.0420 0.0407 0.0031 0.854 0.146
M 0.000 0.0010 0.0608 0.0611 0.0037 0.942 0.058
Residual Variances
Y 0.540 0.6124 0.0430 0.0433 0.0071 0.644 1.000
M 0.590 0.7468 0.0516 0.0528 0.0272 0.110 1.000
New/Additional Parameters
IND 0.250 0.3253 0.0578 0.0603 0.0090 0.806 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.128E-02
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y M X
________ ________ ________
1 0 0 0
LAMBDA
Y M X
________ ________ ________
Y 0 0 0
M 0 0 0
X 0 0 0
THETA
Y M X
________ ________ ________
Y 0
M 0 0
X 0 0 0
ALPHA
Y M X
________ ________ ________
1 1 2 0
BETA
Y M X
________ ________ ________
Y 0 3 0
M 0 0 4
X 0 0 0
PSI
Y M X
________ ________ ________
Y 5
M 0 6
X 0 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 7
STARTING VALUES
NU
Y M X
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
Y M X
________ ________ ________
Y 1.000 0.000 0.000
M 0.000 1.000 0.000
X 0.000 0.000 1.000
THETA
Y M X
________ ________ ________
Y 0.000
M 0.000 0.000
X 0.000 0.000 0.000
ALPHA
Y M X
________ ________ ________
1 0.000 0.000 0.528
BETA
Y M X
________ ________ ________
Y 0.000 0.500 0.000
M 0.000 0.000 0.500
X 0.000 0.000 0.000
PSI
Y M X
________ ________ ________
Y 0.540
M 0.000 0.590
X 0.000 0.000 0.249
STARTING VALUES FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 0.250
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 15:04:30
Ending Time: 15:04:32
Elapsed Time: 00:00:02
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