Mplus VERSION 7.4
MUTHEN & MUTHEN
06/04/2016 6:10 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;
Define:
male = gender - 1;
Analysis:
type = random;
algorithm=integration;
estimator = mlr;
MODEL:
s | math10 ON math7;
s with math10;
s on mothed male;
math10 on mothed male;
OUTPUT:
TECH1 tech8 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 3
Number of continuous latent variables 1
Observed dependent variables
Continuous
MATH10
Observed independent variables
MATH7 MOTHED MALE
Continuous latent variables
S
Variables with special functions
ID variable ID
Estimator MLR
Information matrix OBSERVED
Optimization Specifications for the Quasi-Newton Algorithm for
Continuous Outcomes
Maximum number of iterations 100
Convergence criterion 0.100D-05
Optimization Specifications for the EM Algorithm
Maximum number of iterations 500
Convergence criteria
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-02
Optimization Specifications for the M step of the EM Algorithm for
Categorical Latent variables
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Optimization Specifications for the M step of the EM Algorithm for
Censored, Binary or Ordered Categorical (Ordinal), Unordered
Categorical (Nominal) and Count Outcomes
Number of M step iterations 1
M step convergence criterion 0.100D-02
Basis for M step termination ITERATION
Maximum value for logit thresholds 15
Minimum value for logit thresholds -15
Minimum expected cell size for chi-square 0.100D-01
Maximum number of iterations for H1 2000
Convergence criterion for H1 0.100D-03
Optimization algorithm EMA
Integration Specifications
Type STANDARD
Number of integration points 15
Dimensions of numerical integration 1
Adaptive quadrature ON
Cholesky OFF
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 FOR Y
Covariance Coverage
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
MATH10 1.000
MATH7 1.000 1.000
MOTHED 1.000 1.000 1.000
MALE 1.000 1.000 1.000 1.000
SAMPLE STATISTICS
ESTIMATED SAMPLE STATISTICS
Means
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
1 63.682 51.603 2.364 0.500
Covariances
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
MATH10 186.139
MATH7 109.112 103.136
MOTHED 4.119 2.995 1.035
MALE -0.151 -0.317 0.028 0.250
Correlations
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
MATH10 1.000
MATH7 0.787 1.000
MOTHED 0.297 0.290 1.000
MALE -0.022 -0.063 0.055 1.000
MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -18490.720
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
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 9
Loglikelihood
H0 Value -6877.433
H0 Scaling Correction Factor 1.1218
for MLR
Information Criteria
Akaike (AIC) 13772.866
Bayesian (BIC) 13823.134
Sample-Size Adjusted BIC 13794.540
(n* = (n + 2) / 24)
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
S ON
MOTHED -0.036 0.016 -2.211 0.027
MALE 0.056 0.034 1.626 0.104
MATH10 ON
MOTHED 2.953 0.974 3.032 0.002
MALE -2.252 1.953 -1.153 0.249
S WITH
MATH10 -4.525 0.828 -5.467 0.000
Intercepts
MATH10 5.241 2.555 2.051 0.040
S 1.079 0.045 24.074 0.000
Residual Variances
MATH10 378.655 48.611 7.790 0.000
S 0.057 0.014 4.127 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
S ON
MOTHED -0.149 0.067 -2.210 0.027
MALE 0.114 0.072 1.578 0.115
MATH10 ON
MOTHED 0.220 0.072 3.057 0.002
MALE -0.083 0.072 -1.153 0.249
S WITH
MATH10 -0.971 0.007 -148.965 0.000
Intercepts
MATH10 0.384 0.190 2.024 0.043
S 4.426 0.531 8.340 0.000
Residual Variances
MATH10 2.034 0.257 7.903 0.000
S 0.967 0.026 37.268 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.328E-07
(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%
S ON
MOTHED -0.077 -0.067 -0.062 -0.036 -0.009 -0.004 0.006
MALE -0.032 -0.011 -0.001 0.056 0.112 0.123 0.144
MATH10 ON
MOTHED 0.444 1.044 1.351 2.953 4.555 4.862 5.462
MALE -7.282 -6.079 -5.464 -2.252 0.960 1.575 2.778
S WITH
MATH10 -6.657 -6.148 -5.887 -4.525 -3.164 -2.903 -2.393
Intercepts
MATH10 -1.341 0.233 1.037 5.241 9.445 10.250 11.823
S 0.963 0.991 1.005 1.079 1.152 1.167 1.194
Residual Variances
MATH10 253.443 283.377 298.690 378.655 458.619 473.932 503.866
S 0.022 0.030 0.035 0.057 0.080 0.085 0.093
CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS
STDYX Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
S ON
MOTHED -0.323 -0.281 -0.260 -0.149 -0.038 -0.017 0.025
MALE -0.072 -0.028 -0.005 0.114 0.233 0.256 0.300
MATH10 ON
MOTHED 0.035 0.079 0.102 0.220 0.339 0.361 0.406
MALE -0.267 -0.223 -0.200 -0.083 0.035 0.058 0.102
S WITH
MATH10 -0.987 -0.983 -0.981 -0.971 -0.960 -0.958 -0.954
Intercepts
MATH10 -0.105 0.012 0.072 0.384 0.696 0.756 0.873
S 3.059 3.386 3.553 4.426 5.299 5.466 5.793
Residual Variances
MATH10 1.371 1.529 1.610 2.034 2.457 2.538 2.697
S 0.900 0.916 0.924 0.967 1.009 1.017 1.033
RESIDUAL OUTPUT
ESTIMATED MODEL AND RESIDUALS (OBSERVED - ESTIMATED)
Model Estimated Means
MATH10
________
1 63.712
Residuals for Means
MATH10
________
1 -0.030
Model Estimated Covariances
MATH10
________
MATH10 186.180
Residuals for Covariances
MATH10
________
MATH10 -0.041
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
1 0 0 0 0
LAMBDA
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
MATH10 0 0 0 0 0
MATH7 0 0 0 0 0
MOTHED 0 0 0 0 0
MALE 0 0 0 0 0
THETA
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
MATH10 0
MATH7 0 0
MOTHED 0 0 0
MALE 0 0 0 0
ALPHA
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
1 1 2 0 0 0
BETA
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
S 0 0 0 3 4
MATH10 0 0 0 5 6
MATH7 0 0 0 0 0
MOTHED 0 0 0 0 0
MALE 0 0 0 0 0
PSI
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
S 7
MATH10 8 9
MATH7 0 0 0
MOTHED 0 0 0 0
MALE 0 0 0 0 0
STARTING VALUES
NU
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
LAMBDA
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
MATH10 0.000 1.000 0.000 0.000 0.000
MATH7 0.000 0.000 1.000 0.000 0.000
MOTHED 0.000 0.000 0.000 1.000 0.000
MALE 0.000 0.000 0.000 0.000 1.000
THETA
MATH10 MATH7 MOTHED MALE
________ ________ ________ ________
MATH10 0.000
MATH7 0.000 0.000
MOTHED 0.000 0.000 0.000
MALE 0.000 0.000 0.000 0.000
ALPHA
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
1 0.000 63.682 0.000 0.000 0.000
BETA
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
S 0.000 0.000 0.000 0.000 0.000
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
PSI
S MATH10 MATH7 MOTHED MALE
________ ________ ________ ________ ________
S 1.000
MATH10 0.000 93.070
MATH7 0.000 0.000 51.568
MOTHED 0.000 0.000 0.000 0.517
MALE 0.000 0.000 0.000 0.000 0.125
TECHNICAL 8 OUTPUT
E STEP ITER LOGLIKELIHOOD ABS CHANGE REL CHANGE ALGORITHM
1 -0.97630945D+04 0.0000000 0.0000000 EM
2 -0.80399307D+04 1723.1638389 0.1764977 EM
3 -0.79969104D+04 43.0202868 0.0053508 EM
4 -0.79626912D+04 34.2191739 0.0042790 EM
5 -0.79291741D+04 33.5171868 0.0042093 EM
6 -0.78962972D+04 32.8768138 0.0041463 EM
7 -0.78640127D+04 32.2845425 0.0040886 EM
8 -0.78322784D+04 31.7342529 0.0040354 EM
9 -0.78010582D+04 31.2202965 0.0039861 EM
10 -0.77703208D+04 30.7373347 0.0039401 EM
11 -0.77400405D+04 30.2803411 0.0038969 EM
12 -0.77101962D+04 29.8443239 0.0038558 EM
13 -0.76807714D+04 29.4247668 0.0038163 EM
14 -0.76517543D+04 29.0170688 0.0037779 EM
15 -0.76231374D+04 28.6169116 0.0037399 EM
16 -0.75949174D+04 28.2200323 0.0037019 EM
17 -0.75670949D+04 27.8224283 0.0036633 EM
18 -0.75396748D+04 27.4201720 0.0036236 EM
19 -0.75126651D+04 27.0096463 0.0035823 EM
20 -0.74860777D+04 26.5874020 0.0035390 EM
21 -0.74599274D+04 26.1503306 0.0034932 EM
22 -0.74342318D+04 25.6956020 0.0034445 EM
23 -0.74090110D+04 25.2207981 0.0033925 EM
24 -0.73842871D+04 24.7238766 0.0033370 EM
25 -0.73600838D+04 24.2032939 0.0032777 EM
26 -0.73364259D+04 23.6579298 0.0032144 EM
27 -0.73133387D+04 23.0872281 0.0031469 EM
28 -0.72908475D+04 22.4911433 0.0030754 EM
29 -0.72689773D+04 21.8701864 0.0029997 EM
30 -0.72477519D+04 21.2253901 0.0029200 EM
31 -0.72271937D+04 20.5582810 0.0028365 EM
32 -0.72073227D+04 19.8709492 0.0027495 EM
33 -0.71881569D+04 19.1657934 0.0026592 EM
34 -0.71697113D+04 18.4456537 0.0025661 EM
35 -0.71519975D+04 17.7137318 0.0024706 EM
36 -0.71350242D+04 16.9733657 0.0023732 EM
37 -0.71187961D+04 16.2280886 0.0022744 EM
38 -0.71033146D+04 15.4815226 0.0021747 EM
39 -0.70885773D+04 14.7372984 0.0020747 EM
40 -0.70745784D+04 13.9989093 0.0019749 EM
41 -0.70613086D+04 13.2697385 0.0018757 EM
42 -0.70487556D+04 12.5529656 0.0017777 EM
43 -0.70369042D+04 11.8514948 0.0016814 EM
44 -0.70257362D+04 11.1679152 0.0015870 EM
45 -0.70152317D+04 10.5045408 0.0014952 EM
46 -0.70053684D+04 9.8633096 0.0014060 EM
47 -0.69961226D+04 9.2458247 0.0013198 EM
48 -0.69874692D+04 8.6533340 0.0012369 EM
49 -0.69793825D+04 8.0867642 0.0011573 EM
50 -0.69718357D+04 7.5467260 0.0010813 EM
51 -0.69648022D+04 7.0335367 0.0010089 EM
52 -0.69582549D+04 6.5472523 0.0009400 EM
53 -0.69521673D+04 6.0876911 0.0008749 EM
54 -0.69465128D+04 5.6544670 0.0008133 EM
55 -0.69412658D+04 5.2470149 0.0007553 EM
56 -0.69412246D+04 0.0412170 0.0000059 QN
57 -0.69363685D+04 4.8560889 0.0006996 EM
58 -0.69318695D+04 4.4989796 0.0006486 EM
59 -0.69277044D+04 4.1651153 0.0006009 EM
60 -0.69238509D+04 3.8534947 0.0005562 EM
61 -0.69202878D+04 3.5630876 0.0005146 EM
62 -0.69169950D+04 3.2928344 0.0004758 EM
63 -0.69139533D+04 3.0416639 0.0004397 EM
64 -0.69111448D+04 2.8085042 0.0004062 EM
65 -0.69085525D+04 2.5922975 0.0003751 EM
66 -0.69061605D+04 2.3920042 0.0003462 EM
67 -0.69039539D+04 2.2066157 0.0003195 EM
68 -0.69019187D+04 2.0351578 0.0002948 EM
69 -0.69000420D+04 1.8766940 0.0002719 EM
70 -0.68983117D+04 1.7303335 0.0002508 EM
71 -0.68967165D+04 1.5952232 0.0002312 EM
72 -0.68952459D+04 1.4705598 0.0002132 EM
73 -0.68938903D+04 1.3555839 0.0001966 EM
74 -0.68926407D+04 1.2495815 0.0001813 EM
75 -0.68914889D+04 1.1518819 0.0001671 EM
76 -0.68904270D+04 1.0618589 0.0001541 EM
77 -0.68894481D+04 0.9789269 0.0001421 EM
78 -0.68885455D+04 0.9025408 0.0001310 EM
79 -0.68877133D+04 0.8321935 0.0001208 EM
80 -0.68869459D+04 0.7674133 0.0001114 EM
81 -0.68862382D+04 0.7077647 0.0001028 EM
82 -0.68855853D+04 0.6528428 0.0000948 EM
83 -0.68849830D+04 0.6022736 0.0000875 EM
84 -0.68844273D+04 0.5557115 0.0000807 EM
85 -0.68839145D+04 0.5128374 0.0000745 EM
86 -0.68834411D+04 0.4733570 0.0000688 EM
87 -0.68776958D+04 5.7453100 0.0008347 FS
88 -0.68774476D+04 0.2482641 0.0000361 FS
89 -0.68774344D+04 0.0132028 0.0000019 FS
90 -0.68774332D+04 0.0011400 0.0000002 FS
91 -0.68774331D+04 0.0001585 0.0000000 FS
SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES
SAMPLE STATISTICS
Means
S S_SE
________ ________
1 1.022 0.145
Covariances
S S_SE
________ ________
S 0.037
S_SE -0.001 0.001
Correlations
S S_SE
________ ________
S 1.000
S_SE -0.078 1.000
PLOT INFORMATION
The following plots are available:
Histograms (sample values, estimated factor scores)
Scatterplots (sample values, estimated factor scores)
Latent variable distribution plots
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: 06:10:40
Ending Time: 06:10:44
Elapsed Time: 00:00:04
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