Mplus VERSION 7.4
MUTHEN & MUTHEN
06/04/2016 6:20 AM
INPUT INSTRUCTIONS
TITLE: Regressing math10 on math7
DATA:
FILE = dropout.dat;
FORMAT = 11f8 6f8.2 1f8 2f8.2 10f2;
VARIABLE:
NAMES ARE id school gender mothed fathed fathsei ethnic expect
pacpush pmpush homeres
math7 math8 math9 math10 math11 math12 problem esteem mathatt
clocatn dlocatn elocatn flocatn glocatn hlocatn ilocatn jlocatn
klocatn llocatn;
MISSING = mothed (8) fathed (8) fathsei (996 998)
ethnic (8) homeres (98) math7-math12 (996 998);
IDVARIABLE = id;
USEVAR = math7 math10 mothed male inter1 inter2;
Define:
inter1 = math7*mothed;
male = gender - 1;
inter2 = math7*male;
Analysis:
estimator = mlr;
MODEL:
math10 ON math7 mothed male inter1 inter2;
OUTPUT:
TECH1 SAMPSTAT STDYX RESIDUAL CINTERVAL;
Plot:
TYPE = PLOT3;
*** WARNING
Data set contains cases with missing on x-variables.
These cases were not included in the analysis.
Number of cases with missing on x-variables: 149
*** WARNING
Data set contains cases with missing on all variables except
x-variables. These cases were not included in the analysis.
Number of cases with missing on all variables except x-variables: 998
2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
Regressing math10 on math7
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1969
Number of dependent variables 1
Number of independent variables 5
Number of continuous latent variables 0
Observed dependent variables
Continuous
MATH10
Observed independent variables
MATH7 MOTHED MALE INTER1 INTER2
Variables with special functions
ID variable ID
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Maximum number of iterations for H1 2000
Convergence criterion for H1 0.100D-03
Input data file(s)
dropout.dat
Input data format
(11F8 6F8.2 1F8 2F8.2 10F2)
SUMMARY OF DATA
Number of missing data patterns 1
COVARIANCE COVERAGE OF DATA
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 1.000
MATH7 1.000 1.000
MOTHED 1.000 1.000 1.000
MALE 1.000 1.000 1.000 1.000
INTER1 1.000 1.000 1.000 1.000 1.000
INTER2 1.000 1.000 1.000 1.000 1.000
Covariance Coverage
INTER2
________
INTER2 1.000
SAMPLE STATISTICS
ESTIMATED SAMPLE STATISTICS
Means
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 63.682 51.603 2.364 0.500 124.993
Means
INTER2
________
1 25.471
Covariances
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 186.139
MATH7 109.112 103.136
MOTHED 4.119 2.995 1.035
MALE -0.151 -0.317 0.028 0.250
INTER1 487.090 414.925 62.711 0.924 4497.397
INTER2 55.800 42.406 3.172 12.742 288.258
Covariances
INTER2
________
INTER2 708.020
Correlations
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 1.000
MATH7 0.787 1.000
MOTHED 0.297 0.290 1.000
MALE -0.022 -0.063 0.055 1.000
INTER1 0.532 0.609 0.919 0.028 1.000
INTER2 0.154 0.157 0.117 0.958 0.162
Correlations
INTER2
________
INTER2 1.000
MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -31968.059
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
MATH10 63.682 -0.330 30.490 0.05% 51.520 61.940 65.440
1969.000 186.139 -0.451 95.170 0.25% 68.600 75.330
MATH7 51.603 0.046 27.560 0.05% 42.110 48.800 51.910
1969.000 103.136 -0.616 85.020 0.05% 54.540 60.740
MOTHED 2.364 1.073 1.000 12.75% 2.000 2.000 2.000
1969.000 1.035 0.514 5.000 4.98% 2.000 3.000
MALE 0.500 0.001 0.000 50.03% 0.000 0.000 0.000
1969.000 0.250 -2.000 1.000 49.97% 1.000 1.000
INTER1 124.993 1.304 27.560 0.05% 77.340 100.140 108.040
1969.000 4497.397 1.349 373.150 0.05% 117.280 168.240
INTER2 25.471 0.242 0.000 50.03% 0.000 0.000 0.000
1969.000 708.020 -1.657 85.020 0.05% 40.150 54.160
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 7
Loglikelihood
H0 Value -6969.750
H0 Scaling Correction Factor 1.0694
for MLR
H1 Value -6969.750
H1 Scaling Correction Factor 1.0694
for MLR
Information Criteria
Akaike (AIC) 13953.501
Bayesian (BIC) 13992.598
Sample-Size Adjusted BIC 13970.359
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 0.000*
Degrees of Freedom 0
P-Value 0.0000
Scaling Correction Factor 1.0000
for MLR
* 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 0.000
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 1697.723
Degrees of Freedom 5
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
MATH10 ON
MATH7 1.059 0.047 22.373 0.000
MOTHED 2.270 1.044 2.174 0.030
MALE -2.312 2.081 -1.111 0.267
INTER1 -0.024 0.018 -1.380 0.167
INTER2 0.057 0.037 1.535 0.125
Intercepts
MATH10 6.407 2.663 2.406 0.016
Residual Variances
MATH10 69.515 2.643 26.299 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
MATH10 ON
MATH7 0.788 0.034 23.143 0.000
MOTHED 0.169 0.078 2.173 0.030
MALE -0.085 0.076 -1.112 0.266
INTER1 -0.119 0.086 -1.380 0.168
INTER2 0.111 0.072 1.538 0.124
Intercepts
MATH10 0.470 0.197 2.385 0.017
Residual Variances
MATH10 0.373 0.014 26.085 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
MATH10 0.627 0.014 43.758 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.499E-06
(ratio of smallest to largest eigenvalue)
CONFIDENCE INTERVALS OF MODEL RESULTS
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
MATH10 ON
MATH7 0.937 0.966 0.981 1.059 1.137 1.152 1.181
MOTHED -0.420 0.223 0.552 2.270 3.988 4.317 4.960
MALE -7.672 -6.391 -5.735 -2.312 1.112 1.767 3.049
INTER1 -0.069 -0.059 -0.053 -0.024 0.005 0.010 0.021
INTER2 -0.038 -0.016 -0.004 0.057 0.117 0.129 0.152
Intercepts
MATH10 -0.452 1.188 2.027 6.407 10.788 11.627 13.267
Residual Variances
MATH10 62.707 64.335 65.167 69.515 73.863 74.696 76.324
CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS
STDYX Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
MATH10 ON
MATH7 0.701 0.722 0.732 0.788 0.844 0.855 0.876
MOTHED -0.031 0.017 0.041 0.169 0.297 0.322 0.370
MALE -0.281 -0.234 -0.210 -0.085 0.041 0.065 0.111
INTER1 -0.341 -0.288 -0.261 -0.119 0.023 0.050 0.103
INTER2 -0.075 -0.030 -0.008 0.111 0.229 0.251 0.296
Intercepts
MATH10 -0.038 0.084 0.146 0.470 0.794 0.856 0.977
Residual Variances
MATH10 0.337 0.345 0.350 0.373 0.397 0.402 0.410
RESIDUAL OUTPUT
ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED)
Model Estimated Means/Intercepts/Thresholds
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 63.682 51.603 2.364 0.500 124.993
Model Estimated Means/Intercepts/Thresholds
INTER2
________
1 25.471
Residuals for Means/Intercepts/Thresholds
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
Residuals for Means/Intercepts/Thresholds
INTER2
________
1 0.000
Standardized Residuals (z-scores) for Means/Intercepts/Thresholds
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 -0.030 0.000 0.000 0.000 0.000
Standardized Residuals (z-scores) for Means/Intercepts/Thresholds
INTER2
________
1 0.000
Normalized Residuals for Means/Intercepts/Thresholds
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
Normalized Residuals for Means/Intercepts/Thresholds
INTER2
________
1 0.000
Model Estimated Covariances/Correlations/Residual Correlations
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 186.129
MATH7 109.109 103.136
MOTHED 4.119 2.995 1.035
MALE -0.151 -0.317 0.028 0.250
INTER1 487.082 414.925 62.711 0.924 4497.397
INTER2 55.802 42.406 3.172 12.742 288.258
Model Estimated Covariances/Correlations/Residual Correlations
INTER2
________
INTER2 708.020
Residuals for Covariances/Correlations/Residual Correlations
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 0.011
MATH7 0.004 0.000
MOTHED 0.000 0.000 0.000
MALE 0.000 0.000 0.000 0.000
INTER1 0.008 0.000 0.000 0.000 0.000
INTER2 -0.002 0.000 0.000 0.000 0.000
Residuals for Covariances/Correlations/Residual Correlations
INTER2
________
INTER2 0.000
Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 999.000
MATH7 999.000 0.000
MOTHED 0.005 0.000 0.000
MALE 0.075 0.000 0.000 0.000
INTER1 999.000 0.000 0.000 0.000 0.000
INTER2 999.000 0.000 0.000 0.000 0.000
Standardized Residuals (z-scores) for Covariances/Correlations/Residual Corr
INTER2
________
INTER2 0.000
Normalized Residuals for Covariances/Correlations/Residual Correlations
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 0.002
MATH7 0.001 0.000
MOTHED 0.000 0.000 0.000
MALE 0.000 0.000 0.000 0.000
INTER1 0.000 0.000 0.000 0.000 0.000
INTER2 0.000 0.000 0.000 0.000 0.000
Normalized Residuals for Covariances/Correlations/Residual Correlations
INTER2
________
INTER2 0.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
INTER2
________
1 0
LAMBDA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 0 0 0 0 0
MATH7 0 0 0 0 0
MOTHED 0 0 0 0 0
MALE 0 0 0 0 0
INTER1 0 0 0 0 0
INTER2 0 0 0 0 0
LAMBDA
INTER2
________
MATH10 0
MATH7 0
MOTHED 0
MALE 0
INTER1 0
INTER2 0
THETA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 0
MATH7 0 0
MOTHED 0 0 0
MALE 0 0 0 0
INTER1 0 0 0 0 0
INTER2 0 0 0 0 0
THETA
INTER2
________
INTER2 0
ALPHA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 1 0 0 0 0
ALPHA
INTER2
________
1 0
BETA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 0 2 3 4 5
MATH7 0 0 0 0 0
MOTHED 0 0 0 0 0
MALE 0 0 0 0 0
INTER1 0 0 0 0 0
INTER2 0 0 0 0 0
BETA
INTER2
________
MATH10 6
MATH7 0
MOTHED 0
MALE 0
INTER1 0
INTER2 0
PSI
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 7
MATH7 0 0
MOTHED 0 0 0
MALE 0 0 0 0
INTER1 0 0 0 0 0
INTER2 0 0 0 0 0
PSI
INTER2
________
INTER2 0
STARTING VALUES
NU
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
INTER2
________
1 0.000
LAMBDA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 1.000 0.000 0.000 0.000 0.000
MATH7 0.000 1.000 0.000 0.000 0.000
MOTHED 0.000 0.000 1.000 0.000 0.000
MALE 0.000 0.000 0.000 1.000 0.000
INTER1 0.000 0.000 0.000 0.000 1.000
INTER2 0.000 0.000 0.000 0.000 0.000
LAMBDA
INTER2
________
MATH10 0.000
MATH7 0.000
MOTHED 0.000
MALE 0.000
INTER1 0.000
INTER2 1.000
THETA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 0.000
MATH7 0.000 0.000
MOTHED 0.000 0.000 0.000
MALE 0.000 0.000 0.000 0.000
INTER1 0.000 0.000 0.000 0.000 0.000
INTER2 0.000 0.000 0.000 0.000 0.000
THETA
INTER2
________
INTER2 0.000
ALPHA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
1 63.682 51.603 2.364 0.500 124.993
ALPHA
INTER2
________
1 25.471
BETA
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000 0.000 0.000
MALE 0.000 0.000 0.000 0.000 0.000
INTER1 0.000 0.000 0.000 0.000 0.000
INTER2 0.000 0.000 0.000 0.000 0.000
BETA
INTER2
________
MATH10 0.000
MATH7 0.000
MOTHED 0.000
MALE 0.000
INTER1 0.000
INTER2 0.000
PSI
MATH10 MATH7 MOTHED MALE INTER1
________ ________ ________ ________ ________
MATH10 93.070
MATH7 0.000 103.136
MOTHED 0.000 2.995 1.035
MALE 0.000 -0.317 0.028 0.250
INTER1 0.000 414.925 62.711 0.924 4497.397
INTER2 0.000 42.406 3.172 12.742 288.258
PSI
INTER2
________
INTER2 708.020
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\bengt 2013\documents\bengt\mplus runs\a book - topic 1 mplus runs\regression\random coe
Beginning Time: 06:20:02
Ending Time: 06:20:02
Elapsed Time: 00:00:00
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