Mplus VERSION 7.4
MUTHEN & MUTHEN
05/28/2016 6:20 PM
INPUT INSTRUCTIONS
TITLE:
path analysis with a binary outcome and a continuous
mediator with missing: Monte Carlo integration
DATA:
FILE = lsaydropout.dat;
VARIABLE:
NAMES = lsayid female mothed homeres expect mth7 mth8
mth9 mth10 lunch expel arrest droptht7 hisp black hsdrop
md710 urban tracking ntrack mothsei race mth11 mth12
totstud lchpart african hispan asian self worth other
satisf respect failure esteem problem cloctn dloctn eloctn
floctn gloctn hloctn iloctn jloctn kloctn lloctn drop7
drop8 drop9 drop10 drop11 drop12 cloc dloc eloc floc
gloc hloc iloc jloc kloc lloc dopout misdrop miss7
miss8 miss9 miss10 pat1 pat2 pat3 pat4 pat5 pat6 pat7
pat8 pat9 pat10 pat11 pat12 pat13 pat14 pat15 pat16 drop
dof12 dos11 dof11 dos10 dof10 dos9 dof9 dos8 dof8 cprob1
cprob2 cprob3 class expect7 expect8 expect9 expect10
expect11 expect12 dropot7 dropot8 dropot9 dropot10
dropot11 dropot12;
!pat1-16== missing data pattern dummy
!lloc2==dropout status at 12th grade (0=not dropout, 1=dropout)
!expect7-12==college expectations in 7-12th grade
!dropt7-12==thoughts of dropout in 7-12th grade
USEV = female mothed homeres mth7 mth10
expel arrest hisp black hsdrop
expect lunch droptht7;
IDVARIABLE = lsayid;
MISSING = ALL(9999);
CATEGORICAL = hsdrop;
USEOBS = (hloc == 0 OR iloc == 0 OR jloc == 0 OR kloc == 0
OR lloc == 0) AND mth7 NE 9999;
define:
center mothed homeres expect lunch (grandmean);
ANALYSIS:
ESTIMATOR = bayes;
processors = 2;
biter = (20000);
MODEL:
hsdrop on female mothed homeres expect
mth7 mth10
lunch expel arrest droptht7 hisp black;
mth10 on female mothed homeres expect
mth7
lunch expel arrest droptht7 hisp black;
model indirect:
hsdrop IND mth10 mth7(61.01 50.88);
OUTPUT:
Sampstat patterns TECH1 TECH8 cinterval;
Plot:
type = plot3;
*** WARNING in OUTPUT command
SAMPSTAT option is not available for ESTIMATOR=BAYES. Use TYPE=BASIC.
Request for SAMPSTAT is ignored.
*** 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: 685
2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
path analysis with a binary outcome and a continuous
mediator with missing: Monte Carlo integration
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 2213
Number of dependent variables 2
Number of independent variables 11
Number of continuous latent variables 0
Observed dependent variables
Continuous
MTH10
Binary and ordered categorical (ordinal)
HSDROP
Observed independent variables
FEMALE MOTHED HOMERES MTH7 EXPEL ARREST
HISP BLACK EXPECT LUNCH DROPTHT7
Variables with special functions
ID variable LSAYID
Centering (GRANDMEAN)
MOTHED HOMERES EXPECT LUNCH
Estimator BAYES
Specifications for Bayesian Estimation
Point estimate MEDIAN
Number of Markov chain Monte Carlo (MCMC) chains 2
Random seed for the first chain 0
Starting value information UNPERTURBED
Treatment of categorical mediator LATENT
Algorithm used for Markov chain Monte Carlo GIBBS(PX1)
Convergence criterion 0.500D-01
Maximum number of iterations 50000
K-th iteration used for thinning 1
Input data file(s)
lsaydropout.dat
Input data format FREE
SUMMARY OF DATA
SUMMARY OF MISSING DATA PATTERNS
Number of missing data patterns 2
MISSING DATA PATTERNS (x = not missing)
1 2
HSDROP x x
MTH10 x
FEMALE x x
MOTHED x x
HOMERES x x
MTH7 x x
EXPEL x x
ARREST x x
HISP x x
BLACK x x
EXPECT x x
LUNCH x x
DROPTHT7 x x
MISSING DATA PATTERN FREQUENCIES
Pattern Frequency Pattern Frequency
1 1639 2 574
COVARIANCE COVERAGE OF DATA
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 1.000
MTH10 0.741 0.741
FEMALE 1.000 0.741 1.000
MOTHED 1.000 0.741 1.000 1.000
HOMERES 1.000 0.741 1.000 1.000 1.000
MTH7 1.000 0.741 1.000 1.000 1.000
EXPEL 1.000 0.741 1.000 1.000 1.000
ARREST 1.000 0.741 1.000 1.000 1.000
HISP 1.000 0.741 1.000 1.000 1.000
BLACK 1.000 0.741 1.000 1.000 1.000
EXPECT 1.000 0.741 1.000 1.000 1.000
LUNCH 1.000 0.741 1.000 1.000 1.000
DROPTHT7 1.000 0.741 1.000 1.000 1.000
Covariance Coverage
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
MTH7 1.000
EXPEL 1.000 1.000
ARREST 1.000 1.000 1.000
HISP 1.000 1.000 1.000 1.000
BLACK 1.000 1.000 1.000 1.000 1.000
EXPECT 1.000 1.000 1.000 1.000 1.000
LUNCH 1.000 1.000 1.000 1.000 1.000
DROPTHT7 1.000 1.000 1.000 1.000 1.000
Covariance Coverage
EXPECT LUNCH DROPTHT7
________ ________ ________
EXPECT 1.000
LUNCH 1.000 1.000
DROPTHT7 1.000 1.000 1.000
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
HSDROP
Category 1 0.910 2014.000
Category 2 0.090 199.000
THE MODEL ESTIMATION TERMINATED NORMALLY
USE THE FBITERATIONS OPTION TO INCREASE THE NUMBER OF ITERATIONS BY A FACTOR
OF AT LEAST TWO TO CHECK CONVERGENCE AND THAT THE PSR VALUE DOES NOT INCREASE.
MODEL FIT INFORMATION
Number of Free Parameters 26
Bayesian Posterior Predictive Checking using Chi-Square
95% Confidence Interval for the Difference Between
the Observed and the Replicated Chi-Square Values
-20.806 19.383
Posterior Predictive P-Value 0.505
MODEL RESULTS
Posterior One-Tailed 95% C.I.
Estimate S.D. P-Value Lower 2.5% Upper 2.5% Significance
HSDROP ON
FEMALE 0.168 0.086 0.024 0.001 0.339 *
MOTHED -0.112 0.049 0.008 -0.210 -0.019 *
HOMERES -0.051 0.028 0.035 -0.105 0.004
EXPECT -0.119 0.033 0.000 -0.184 -0.056 *
MTH7 -0.005 0.008 0.263 -0.020 0.010
MTH10 -0.017 0.006 0.002 -0.028 -0.005 *
LUNCH 0.003 0.002 0.069 -0.001 0.007
EXPEL 0.569 0.121 0.000 0.333 0.802 *
ARREST 0.015 0.175 0.468 -0.334 0.351
DROPTHT7 0.396 0.154 0.006 0.090 0.692 *
HISP -0.041 0.139 0.387 -0.316 0.226
BLACK 0.019 0.125 0.440 -0.235 0.259
MTH10 ON
FEMALE -0.962 0.415 0.009 -1.772 -0.151 *
MOTHED 0.346 0.221 0.060 -0.092 0.779
HOMERES 0.481 0.140 0.000 0.209 0.756 *
EXPECT 1.019 0.167 0.000 0.690 1.348 *
MTH7 0.928 0.024 0.000 0.881 0.974 *
LUNCH -0.039 0.011 0.000 -0.061 -0.017 *
EXPEL -1.391 0.852 0.050 -3.064 0.263
ARREST -3.359 1.109 0.002 -5.501 -1.180 *
DROPTHT7 -1.088 1.070 0.154 -3.178 1.020
HISP -0.593 0.749 0.208 -2.080 0.866
BLACK -0.787 0.694 0.127 -2.150 0.583
Intercepts
MTH10 16.544 1.267 0.000 14.081 19.066 *
Thresholds
HSDROP$1 0.409 0.264 0.060 -0.110 0.921
Residual Variances
MTH10 65.624 2.297 0.000 61.341 70.446 *
TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS FOR LATENT RESPONSE VARIABLES
Posterior One-Tailed 95% C.I.
Estimate S.D. P-Value Lower 2.5% Upper 2.5% Significance
Effects from MTH7 to HSDROP
Indirect -0.156 0.055 0.002 -0.264 -0.046 *
Direct effect -0.049 0.077 0.263 -0.200 0.103
TOTAL, INDIRECT, AND DIRECT EFFECTS BASED ON COUNTERFACTUALS (CAUSALLY-DEFINED EFFECTS)
Posterior One-Tailed 95% C.I.
Estimate S.D. P-Value Lower 2.5% Upper 2.5% Significance
Effects from MTH7 to HSDROP
Tot natural IE -0.012 0.005 0.002 -0.024 -0.003 *
Pure natural DE -0.004 0.007 0.263 -0.016 0.011
Total effect -0.016 0.004 0.000 -0.024 -0.009 *
Odds ratios for binary Y
Tot natural IE 0.702 0.086 0.000 0.558 0.898 *
Pure natural DE 0.899 0.155 0.000 0.634 1.246 *
Total effect 0.632 0.076 0.000 0.493 0.793 *
Other effects
Pure natural IE -0.013 0.004 0.002 -0.021 -0.004 *
Tot natural DE -0.003 0.005 0.263 -0.014 0.007
Total effect -0.016 0.004 0.000 -0.024 -0.009 *
Odds ratios for other effects for binary Y
Pure natural IE 0.706 0.089 0.000 0.552 0.904 *
Tot natural DE 0.894 0.162 0.000 0.628 1.267 *
Total effect 0.632 0.076 0.000 0.493 0.793 *
CREDIBILITY INTERVALS OF MODEL RESULTS
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
HSDROP ON
FEMALE -0.056 0.001 0.029 0.168 0.310 0.339 0.393
MOTHED -0.244 -0.210 -0.195 -0.112 -0.034 -0.019 0.010
HOMERES -0.123 -0.105 -0.096 -0.051 -0.005 0.004 0.022
EXPECT -0.205 -0.184 -0.173 -0.119 -0.067 -0.056 -0.036
MTH7 -0.024 -0.020 -0.017 -0.005 0.008 0.010 0.015
MTH10 -0.032 -0.028 -0.026 -0.017 -0.007 -0.005 -0.001
LUNCH -0.002 -0.001 0.000 0.003 0.006 0.007 0.008
EXPEL 0.252 0.333 0.372 0.569 0.767 0.802 0.871
ARREST -0.447 -0.334 -0.277 0.015 0.296 0.351 0.457
DROPTHT7 -0.006 0.090 0.137 0.396 0.645 0.692 0.784
HISP -0.399 -0.316 -0.270 -0.041 0.185 0.226 0.309
BLACK -0.313 -0.235 -0.189 0.019 0.221 0.259 0.327
MTH10 ON
FEMALE -2.047 -1.772 -1.641 -0.962 -0.283 -0.151 0.100
MOTHED -0.233 -0.092 -0.020 0.346 0.706 0.779 0.910
HOMERES 0.124 0.209 0.254 0.481 0.711 0.756 0.844
EXPECT 0.595 0.690 0.746 1.019 1.293 1.348 1.440
MTH7 0.866 0.881 0.889 0.928 0.966 0.974 0.988
LUNCH -0.068 -0.061 -0.058 -0.039 -0.021 -0.017 -0.010
EXPEL -3.590 -3.064 -2.805 -1.391 0.000 0.263 0.793
ARREST -6.234 -5.501 -5.142 -3.359 -1.538 -1.180 -0.421
DROPTHT7 -3.828 -3.178 -2.838 -1.088 0.685 1.020 1.687
HISP -2.578 -2.080 -1.845 -0.593 0.632 0.866 1.290
BLACK -2.597 -2.150 -1.934 -0.787 0.348 0.583 1.000
Intercepts
MTH10 13.304 14.081 14.478 16.544 18.654 19.066 19.893
Thresholds
HSDROP$1 -0.294 -0.110 -0.026 0.409 0.846 0.921 1.057
Residual Variances
MTH10 59.973 61.341 61.967 65.624 69.558 70.446 71.876
CREDIBILITY INTERVALS OF TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS FOR LATENT RESPONSE VARIABLES
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
Effects from MTH7 to HSDROP
Indirect -0.300 -0.264 -0.247 -0.156 -0.065 -0.046 -0.012
Direct effect -0.247 -0.200 -0.175 -0.049 0.078 0.103 0.148
CREDIBILITY INTERVALS OF TOTAL, INDIRECT, AND DIRECT EFFECTS BASED ON COUNTERFACTUALS (CAUSALLY-DEFINED EFFECTS)
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
Effects from MTH7 to HSDROP
Tot natural IE -0.029 -0.024 -0.022 -0.012 -0.004 -0.003 -0.001
Pure natural DE -0.020 -0.016 -0.014 -0.004 0.008 0.011 0.016
Total effect -0.026 -0.024 -0.022 -0.016 -0.010 -0.009 -0.007
Odds ratios for binary Y
Tot natural IE 0.521 0.558 0.579 0.702 0.860 0.898 0.971
Pure natural DE 0.567 0.634 0.672 0.899 1.180 1.246 1.365
Total effect 0.454 0.493 0.514 0.632 0.765 0.793 0.848
Other effects
Pure natural IE -0.024 -0.021 -0.020 -0.013 -0.006 -0.004 -0.001
Tot natural DE -0.018 -0.014 -0.012 -0.003 0.005 0.007 0.011
Total effect -0.026 -0.024 -0.022 -0.016 -0.010 -0.009 -0.007
Odds ratios for other effects for binary Y
Pure natural IE 0.512 0.552 0.574 0.706 0.866 0.904 0.973
Tot natural DE 0.561 0.628 0.664 0.894 1.194 1.267 1.399
Total effect 0.454 0.493 0.514 0.632 0.765 0.793 0.848
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
TAU
HSDROP$1
________
1 26
NU
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
EXPECT LUNCH DROPTHT7
________ ________ ________
1 0 0 0
LAMBDA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0 0 0 0 0
MTH10 0 0 0 0 0
FEMALE 0 0 0 0 0
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
MTH7 0 0 0 0 0
EXPEL 0 0 0 0 0
ARREST 0 0 0 0 0
HISP 0 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
LAMBDA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
HSDROP 0 0 0 0 0
MTH10 0 0 0 0 0
FEMALE 0 0 0 0 0
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
MTH7 0 0 0 0 0
EXPEL 0 0 0 0 0
ARREST 0 0 0 0 0
HISP 0 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
LAMBDA
EXPECT LUNCH DROPTHT7
________ ________ ________
HSDROP 0 0 0
MTH10 0 0 0
FEMALE 0 0 0
MOTHED 0 0 0
HOMERES 0 0 0
MTH7 0 0 0
EXPEL 0 0 0
ARREST 0 0 0
HISP 0 0 0
BLACK 0 0 0
EXPECT 0 0 0
LUNCH 0 0 0
DROPTHT7 0 0 0
THETA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0
MTH10 0 0
FEMALE 0 0 0
MOTHED 0 0 0 0
HOMERES 0 0 0 0 0
MTH7 0 0 0 0 0
EXPEL 0 0 0 0 0
ARREST 0 0 0 0 0
HISP 0 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
THETA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
MTH7 0
EXPEL 0 0
ARREST 0 0 0
HISP 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
THETA
EXPECT LUNCH DROPTHT7
________ ________ ________
EXPECT 0
LUNCH 0 0
DROPTHT7 0 0 0
ALPHA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
1 0 1 0 0 0
ALPHA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
1 0 0 0 0 0
ALPHA
EXPECT LUNCH DROPTHT7
________ ________ ________
1 0 0 0
BETA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0 2 3 4 5
MTH10 0 0 14 15 16
FEMALE 0 0 0 0 0
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
MTH7 0 0 0 0 0
EXPEL 0 0 0 0 0
ARREST 0 0 0 0 0
HISP 0 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
BETA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
HSDROP 6 7 8 9 10
MTH10 17 18 19 20 21
FEMALE 0 0 0 0 0
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
MTH7 0 0 0 0 0
EXPEL 0 0 0 0 0
ARREST 0 0 0 0 0
HISP 0 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
BETA
EXPECT LUNCH DROPTHT7
________ ________ ________
HSDROP 11 12 13
MTH10 22 23 24
FEMALE 0 0 0
MOTHED 0 0 0
HOMERES 0 0 0
MTH7 0 0 0
EXPEL 0 0 0
ARREST 0 0 0
HISP 0 0 0
BLACK 0 0 0
EXPECT 0 0 0
LUNCH 0 0 0
DROPTHT7 0 0 0
PSI
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0
MTH10 0 25
FEMALE 0 0 0
MOTHED 0 0 0 0
HOMERES 0 0 0 0 0
MTH7 0 0 0 0 0
EXPEL 0 0 0 0 0
ARREST 0 0 0 0 0
HISP 0 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
PSI
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
MTH7 0
EXPEL 0 0
ARREST 0 0 0
HISP 0 0 0 0
BLACK 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
DROPTHT7 0 0 0 0 0
PSI
EXPECT LUNCH DROPTHT7
________ ________ ________
EXPECT 0
LUNCH 0 0
DROPTHT7 0 0 0
STARTING VALUES
TAU
HSDROP$1
________
1 1.286
NU
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
EXPECT LUNCH DROPTHT7
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 1.000 0.000 0.000 0.000 0.000
MTH10 0.000 1.000 0.000 0.000 0.000
FEMALE 0.000 0.000 1.000 0.000 0.000
MOTHED 0.000 0.000 0.000 1.000 0.000
HOMERES 0.000 0.000 0.000 0.000 1.000
MTH7 0.000 0.000 0.000 0.000 0.000
EXPEL 0.000 0.000 0.000 0.000 0.000
ARREST 0.000 0.000 0.000 0.000 0.000
HISP 0.000 0.000 0.000 0.000 0.000
BLACK 0.000 0.000 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
LAMBDA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
HSDROP 0.000 0.000 0.000 0.000 0.000
MTH10 0.000 0.000 0.000 0.000 0.000
FEMALE 0.000 0.000 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000 0.000 0.000
MTH7 1.000 0.000 0.000 0.000 0.000
EXPEL 0.000 1.000 0.000 0.000 0.000
ARREST 0.000 0.000 1.000 0.000 0.000
HISP 0.000 0.000 0.000 1.000 0.000
BLACK 0.000 0.000 0.000 0.000 1.000
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
LAMBDA
EXPECT LUNCH DROPTHT7
________ ________ ________
HSDROP 0.000 0.000 0.000
MTH10 0.000 0.000 0.000
FEMALE 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000
MTH7 0.000 0.000 0.000
EXPEL 0.000 0.000 0.000
ARREST 0.000 0.000 0.000
HISP 0.000 0.000 0.000
BLACK 0.000 0.000 0.000
EXPECT 1.000 0.000 0.000
LUNCH 0.000 1.000 0.000
DROPTHT7 0.000 0.000 1.000
THETA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0.000
MTH10 0.000 0.000
FEMALE 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000 0.000 0.000
MTH7 0.000 0.000 0.000 0.000 0.000
EXPEL 0.000 0.000 0.000 0.000 0.000
ARREST 0.000 0.000 0.000 0.000 0.000
HISP 0.000 0.000 0.000 0.000 0.000
BLACK 0.000 0.000 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
THETA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
MTH7 0.000
EXPEL 0.000 0.000
ARREST 0.000 0.000 0.000
HISP 0.000 0.000 0.000 0.000
BLACK 0.000 0.000 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
THETA
EXPECT LUNCH DROPTHT7
________ ________ ________
EXPECT 0.000
LUNCH 0.000 0.000
DROPTHT7 0.000 0.000 0.000
ALPHA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
1 0.000 63.440 0.000 0.000 0.000
ALPHA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
ALPHA
EXPECT LUNCH DROPTHT7
________ ________ ________
1 0.000 0.000 0.000
BETA
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0.000 0.000 0.000 0.000 0.000
MTH10 0.000 0.000 0.000 0.000 0.000
FEMALE 0.000 0.000 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000 0.000 0.000
MTH7 0.000 0.000 0.000 0.000 0.000
EXPEL 0.000 0.000 0.000 0.000 0.000
ARREST 0.000 0.000 0.000 0.000 0.000
HISP 0.000 0.000 0.000 0.000 0.000
BLACK 0.000 0.000 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
BETA
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
HSDROP 0.000 0.000 0.000 0.000 0.000
MTH10 0.000 0.000 0.000 0.000 0.000
FEMALE 0.000 0.000 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000 0.000 0.000
MTH7 0.000 0.000 0.000 0.000 0.000
EXPEL 0.000 0.000 0.000 0.000 0.000
ARREST 0.000 0.000 0.000 0.000 0.000
HISP 0.000 0.000 0.000 0.000 0.000
BLACK 0.000 0.000 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
BETA
EXPECT LUNCH DROPTHT7
________ ________ ________
HSDROP 0.000 0.000 0.000
MTH10 0.000 0.000 0.000
FEMALE 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000
MTH7 0.000 0.000 0.000
EXPEL 0.000 0.000 0.000
ARREST 0.000 0.000 0.000
HISP 0.000 0.000 0.000
BLACK 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000
PSI
HSDROP MTH10 FEMALE MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 1.000
MTH10 0.000 91.981
FEMALE 0.000 0.000 0.125
MOTHED 0.000 0.000 0.000 0.508
HOMERES 0.000 0.000 0.000 0.000 1.365
MTH7 0.000 0.000 0.000 0.000 0.000
EXPEL 0.000 0.000 0.000 0.000 0.000
ARREST 0.000 0.000 0.000 0.000 0.000
HISP 0.000 0.000 0.000 0.000 0.000
BLACK 0.000 0.000 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
PSI
MTH7 EXPEL ARREST HISP BLACK
________ ________ ________ ________ ________
MTH7 50.057
EXPEL 0.000 0.036
ARREST 0.000 0.000 0.023
HISP 0.000 0.000 0.000 0.039
BLACK 0.000 0.000 0.000 0.000 0.049
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
PSI
EXPECT LUNCH DROPTHT7
________ ________ ________
EXPECT 0.938
LUNCH 0.000 208.613
DROPTHT7 0.000 0.000 0.021
PRIORS FOR ALL PARAMETERS PRIOR MEAN PRIOR VARIANCE PRIOR STD. DEV.
Parameter 1~N(0.000,infinity) 0.0000 infinity infinity
Parameter 2~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 3~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 4~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 5~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 6~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 7~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 8~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 9~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 10~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 11~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 12~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 13~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 14~N(0.000,infinity) 0.0000 infinity infinity
Parameter 15~N(0.000,infinity) 0.0000 infinity infinity
Parameter 16~N(0.000,infinity) 0.0000 infinity infinity
Parameter 17~N(0.000,infinity) 0.0000 infinity infinity
Parameter 18~N(0.000,infinity) 0.0000 infinity infinity
Parameter 19~N(0.000,infinity) 0.0000 infinity infinity
Parameter 20~N(0.000,infinity) 0.0000 infinity infinity
Parameter 21~N(0.000,infinity) 0.0000 infinity infinity
Parameter 22~N(0.000,infinity) 0.0000 infinity infinity
Parameter 23~N(0.000,infinity) 0.0000 infinity infinity
Parameter 24~N(0.000,infinity) 0.0000 infinity infinity
Parameter 25~IG(-1.000,0.000) infinity infinity infinity
Parameter 26~N(0.000,5.000) 0.0000 5.0000 2.2361
TECHNICAL 8 OUTPUT
Kolmogorov-Smirnov comparing posterior distributions across chains 1 and 2 using 100 draws.
Parameter KS Statistic P-value
Parameter 8 0.1400 0.2606
Parameter 1 0.1300 0.3439
Parameter 10 0.1300 0.3439
Parameter 20 0.1100 0.5560
Parameter 21 0.1000 0.6766
Parameter 18 0.1000 0.6766
Parameter 19 0.1000 0.6766
Parameter 16 0.0900 0.7942
Parameter 9 0.0900 0.7942
Parameter 13 0.0900 0.7942
Parameter 26 0.0800 0.8938
Parameter 7 0.0800 0.8938
Parameter 14 0.0800 0.8938
Parameter 25 0.0700 0.9610
Parameter 11 0.0600 0.9921
Parameter 22 0.0600 0.9921
Parameter 4 0.0500 0.9995
Parameter 15 0.0500 0.9995
Parameter 24 0.0400 1.0000
Parameter 3 0.0400 1.0000
Parameter 5 0.0300 1.0000
Parameter 17 0.0200 1.0000
Parameter 23 0.0100 1.0000
Parameter 6 0.0000 1.0000
Parameter 12 0.0000 1.0000
Parameter 2 0.0000 1.0000
Simulated prior distributions
Parameter Prior Mean Prior Variance Prior Std. Dev.
Parameter 1 Improper Prior
Parameter 2 -0.0558 5.2305 2.2870
Parameter 3 -0.1133 5.3283 2.3083
Parameter 4 -0.0661 4.7863 2.1878
Parameter 5 -0.0504 4.8069 2.1925
Parameter 6 0.0483 4.7588 2.1815
Parameter 7 0.1199 5.0897 2.2560
Parameter 8 0.1066 4.7241 2.1735
Parameter 9 -0.0095 5.2538 2.2921
Parameter 10 0.0458 4.5985 2.1444
Parameter 11 0.0755 4.9813 2.2319
Parameter 12 -0.0999 4.7124 2.1708
Parameter 13 -0.0613 5.3259 2.3078
Parameter 14 Improper Prior
Parameter 15 Improper Prior
Parameter 16 Improper Prior
Parameter 17 Improper Prior
Parameter 18 Improper Prior
Parameter 19 Improper Prior
Parameter 20 Improper Prior
Parameter 21 Improper Prior
Parameter 22 Improper Prior
Parameter 23 Improper Prior
Parameter 24 Improper Prior
Parameter 25 Improper Prior
Parameter 26 0.0672 5.1588 2.2713
TECHNICAL 8 OUTPUT FOR BAYES ESTIMATION
CHAIN BSEED
1 0
2 285380
POTENTIAL PARAMETER WITH
ITERATION SCALE REDUCTION HIGHEST PSR
100 1.094 8
200 1.079 8
300 1.077 4
400 1.033 6
500 1.039 21
600 1.031 3
700 1.037 3
800 1.035 9
900 1.014 9
1000 1.014 3
1100 1.011 11
1200 1.009 5
1300 1.006 9
1400 1.009 9
1500 1.010 4
1600 1.012 4
1700 1.013 4
1800 1.011 4
1900 1.008 4
2000 1.010 4
2100 1.011 4
2200 1.005 4
2300 1.008 11
2400 1.007 11
2500 1.006 11
2600 1.003 11
2700 1.004 11
2800 1.005 11
2900 1.003 10
3000 1.005 10
3100 1.003 19
3200 1.004 19
3300 1.003 11
3400 1.004 13
3500 1.003 10
3600 1.006 10
3700 1.007 10
3800 1.005 10
3900 1.004 10
4000 1.005 21
4100 1.003 21
4200 1.003 5
4300 1.002 21
4400 1.002 21
4500 1.002 8
4600 1.003 4
4700 1.003 4
4800 1.003 10
4900 1.004 10
5000 1.002 10
5100 1.004 10
5200 1.006 10
5300 1.004 10
5400 1.003 10
5500 1.004 10
5600 1.004 10
5700 1.003 11
5800 1.003 26
5900 1.003 26
6000 1.003 11
6100 1.002 26
6200 1.003 26
6300 1.003 11
6400 1.003 11
6500 1.002 11
6600 1.003 26
6700 1.005 26
6800 1.004 26
6900 1.005 26
7000 1.005 26
7100 1.004 26
7200 1.003 26
7300 1.003 26
7400 1.003 26
7500 1.002 26
7600 1.003 6
7700 1.002 6
7800 1.002 26
7900 1.002 5
8000 1.002 5
8100 1.003 5
8200 1.003 5
8300 1.004 5
8400 1.004 5
8500 1.004 5
8600 1.003 5
8700 1.003 5
8800 1.004 5
8900 1.004 5
9000 1.004 5
9100 1.003 5
9200 1.004 5
9300 1.004 5
9400 1.004 5
9500 1.005 5
9600 1.004 5
9700 1.004 5
9800 1.003 5
9900 1.004 5
10000 1.004 5
10100 1.005 5
10200 1.005 5
10300 1.005 5
10400 1.005 5
10500 1.006 5
10600 1.007 5
10700 1.007 5
10800 1.007 5
10900 1.007 5
11000 1.005 5
11100 1.005 5
11200 1.005 5
11300 1.004 5
11400 1.004 5
11500 1.006 5
11600 1.007 5
11700 1.007 5
11800 1.006 5
11900 1.006 5
12000 1.006 5
12100 1.007 5
12200 1.006 5
12300 1.005 5
12400 1.004 5
12500 1.005 5
12600 1.004 5
12700 1.004 5
12800 1.004 5
12900 1.004 5
13000 1.005 5
13100 1.005 5
13200 1.005 5
13300 1.004 5
13400 1.005 5
13500 1.005 5
13600 1.005 5
13700 1.004 5
13800 1.003 5
13900 1.003 5
14000 1.003 5
14100 1.003 5
14200 1.002 5
14300 1.002 5
14400 1.002 5
14500 1.002 5
14600 1.002 5
14700 1.002 5
14800 1.001 5
14900 1.001 5
15000 1.001 5
15100 1.001 18
15200 1.001 18
15300 1.001 18
15400 1.001 18
15500 1.001 5
15600 1.001 3
15700 1.001 5
15800 1.001 5
15900 1.001 5
16000 1.001 5
16100 1.001 5
16200 1.001 5
16300 1.001 5
16400 1.001 5
16500 1.001 4
16600 1.001 4
16700 1.001 5
16800 1.001 4
16900 1.001 4
17000 1.001 4
17100 1.001 26
17200 1.001 3
17300 1.001 3
17400 1.001 26
17500 1.001 3
17600 1.001 26
17700 1.001 26
17800 1.001 26
17900 1.001 3
18000 1.001 3
18100 1.001 3
18200 1.001 3
18300 1.001 3
18400 1.001 3
18500 1.000 4
18600 1.001 4
18700 1.001 4
18800 1.001 4
18900 1.001 4
19000 1.001 4
19100 1.000 4
19200 1.001 4
19300 1.001 4
19400 1.001 4
19500 1.001 4
19600 1.001 4
19700 1.001 4
19800 1.001 4
19900 1.001 4
20000 1.001 4
PLOT INFORMATION
The following plots are available:
Histograms (sample values)
Scatterplots (sample values)
Sample proportions and estimated probabilities
Bayesian posterior parameter distributions
Bayesian posterior parameter trace plots
Bayesian autocorrelation plots
Bayesian prior parameter distributions
Bayesian posterior predictive checking scatterplots
Bayesian posterior predictive checking 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\2016 book runs\chapte
Beginning Time: 18:20:21
Ending Time: 18:20:42
Elapsed Time: 00:00:21
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