Mplus VERSION 7.4
MUTHEN & MUTHEN
05/29/2016 2:05 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 math7 math8
math9 math10 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 = hsdrop math10 female mothed homeres
expel arrest hisp black
expect lunch droptht7 math7;
IDVARIABLE = lsayid;
MISSING = ALL(9999);
CATEGORICAL = hsdrop female expel arrest droptht7 hisp black;
USEOBS = (hloc == 0 OR iloc == 0 OR jloc == 0 OR kloc == 0
OR lloc == 0) AND math7 NE 9999;
define:
center mothed homeres expect lunch (grandmean);
ANALYSIS:
ESTIMATOR = bayes;
processors = 2;
biter = (20000);
mediator = observed;
MODEL:
hsdrop on math10 female-math7;
math10 on female-math7;
female-math7 with female-math7;
model indirect:
hsdrop IND math10 math7(61.01 50.88);
OUTPUT:
patterns TECH1 TECH8 cinterval;
plot:
type = plot3;
INPUT READING TERMINATED NORMALLY
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 2898
Number of dependent variables 2
Number of independent variables 11
Number of continuous latent variables 0
Observed dependent variables
Continuous
MATH10
Binary and ordered categorical (ordinal)
HSDROP FEMALE EXPEL ARREST HISP BLACK
DROPTHT7
Observed independent variables
FEMALE MOTHED HOMERES EXPEL ARREST HISP
BLACK EXPECT LUNCH DROPTHT7 MATH7
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 OBSERVED
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 38
MISSING DATA PATTERNS (x = not missing)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
HSDROP x x x x x x x x x x x x x x x x x x x x
FEMALE x x x x x x x x x x x x x x x x x x x x
EXPEL x x x x x x x x x x x x x x x x x x x x
ARREST x x x x x x x x x x x x x x x x x x x x
HISP x x x x x x x x x x x x x x x
BLACK x x x x x x x x x x x x x x x
DROPTHT7 x x x x x x x x x x x x x x x x x x x x
MATH10 x x x x x x x x
MOTHED x x x x x x x x x x x x x
HOMERES x x x x x x x x
EXPECT x x x x x x x x x x x x x x x
LUNCH x x x x x x x x x x x x x x x
MATH7 x x x x x x x x x x x x x x x x x x x x
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38
HSDROP x x x x x x x x x x x x x x x x x x
FEMALE x x x x x x x x x x x x x x x x x x
EXPEL x x x x x x x x x x x x x x x x
ARREST x x x x x x x x x x x x x x x x
HISP x x x x x x x x x x
BLACK x x x x x x x x x x
DROPTHT7 x x x x x x x x x x x x x x x x
MATH10 x x x x x x x x x x x
MOTHED x x x x x x x x x x x
HOMERES x x x x x x x x x x x x
EXPECT x x x x x x x x x x x x x
LUNCH x x x x x x x x
MATH7 x x x x x x x x x x x x x x x x x x
MISSING DATA PATTERN FREQUENCIES
Pattern Frequency Pattern Frequency Pattern Frequency
1 1639 14 3 27 6
2 574 15 1 28 1
3 38 16 172 29 3
4 26 17 13 30 2
5 32 18 196 31 1
6 40 19 10 32 1
7 18 20 1 33 6
8 2 21 1 34 4
9 12 22 4 35 11
10 6 23 5 36 1
11 36 24 7 37 3
12 2 25 16 38 1
13 3 26 1
COVARIANCE COVERAGE OF DATA
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 1.000
FEMALE 1.000 1.000
EXPEL 0.999 0.999 0.999
ARREST 0.999 0.999 0.999 0.999
HISP 0.953 0.953 0.952 0.952 0.953
BLACK 0.953 0.953 0.952 0.952 0.953
DROPTHT7 0.999 0.999 0.999 0.999 0.952
MATH10 0.693 0.693 0.693 0.693 0.669
MOTHED 0.970 0.970 0.970 0.970 0.925
HOMERES 0.932 0.932 0.932 0.932 0.922
EXPECT 0.988 0.988 0.987 0.987 0.942
LUNCH 0.850 0.850 0.849 0.849 0.815
MATH7 1.000 1.000 0.999 0.999 0.953
Covariance Coverage
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
BLACK 0.953
DROPTHT7 0.952 0.999
MATH10 0.669 0.693 0.693
MOTHED 0.925 0.970 0.677 0.970
HOMERES 0.922 0.932 0.661 0.909 0.932
EXPECT 0.942 0.987 0.685 0.960 0.924
LUNCH 0.815 0.849 0.616 0.824 0.798
MATH7 0.953 0.999 0.693 0.970 0.932
Covariance Coverage
EXPECT LUNCH MATH7
________ ________ ________
EXPECT 0.988
LUNCH 0.841 0.850
MATH7 0.988 0.850 1.000
UNIVARIATE PROPORTIONS AND COUNTS FOR CATEGORICAL VARIABLES
HSDROP
Category 1 0.903 2618.000
Category 2 0.097 280.000
FEMALE
Category 1 0.520 1506.000
Category 2 0.480 1392.000
EXPEL
Category 1 0.916 2654.000
Category 2 0.084 242.000
ARREST
Category 1 0.945 2738.000
Category 2 0.055 158.000
HISP
Category 1 0.908 2507.000
Category 2 0.092 255.000
BLACK
Category 1 0.893 2466.000
Category 2 0.107 296.000
DROPTHT7
Category 1 0.954 2764.000
Category 2 0.046 132.000
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 97
MODEL RESULTS
Posterior One-Tailed 95% C.I.
Estimate S.D. P-Value Lower 2.5% Upper 2.5% Significance
HSDROP ON
MATH10 -0.017 0.005 0.000 -0.027 -0.007 *
FEMALE 0.187 0.073 0.004 0.045 0.329 *
MOTHED -0.109 0.041 0.004 -0.190 -0.028 *
HOMERES -0.045 0.025 0.036 -0.094 0.004
EXPEL 0.594 0.103 0.000 0.395 0.795 *
ARREST 0.202 0.131 0.061 -0.057 0.455
HISP 0.038 0.117 0.374 -0.192 0.264
BLACK 0.061 0.112 0.295 -0.159 0.280
EXPECT -0.089 0.028 0.001 -0.143 -0.033 *
LUNCH 0.003 0.002 0.082 -0.001 0.006
DROPTHT7 0.205 0.139 0.071 -0.069 0.476
MATH7 -0.004 0.006 0.261 -0.016 0.008
MATH10 ON
FEMALE -0.941 0.374 0.005 -1.678 -0.214 *
MOTHED 0.497 0.195 0.005 0.111 0.879 *
HOMERES 0.454 0.130 0.000 0.200 0.706 *
EXPEL -1.424 0.768 0.031 -2.936 0.081
ARREST -2.247 0.973 0.010 -4.154 -0.329 *
HISP -1.242 0.677 0.033 -2.569 0.075
BLACK -0.820 0.647 0.101 -2.087 0.446
EXPECT 1.007 0.153 0.000 0.709 1.307 *
LUNCH -0.032 0.011 0.002 -0.053 -0.011 *
DROPTHT7 -1.551 0.982 0.055 -3.520 0.358
MATH7 0.926 0.021 0.000 0.884 0.967 *
FEMALE WITH
MOTHED -0.058 0.025 0.009 -0.106 -0.009 *
HOMERES -0.178 0.040 0.000 -0.256 -0.100 *
EXPEL -0.367 0.041 0.000 -0.444 -0.285 *
ARREST -0.412 0.046 0.000 -0.502 -0.320 *
HISP -0.044 0.040 0.138 -0.123 0.033
BLACK 0.040 0.038 0.143 -0.034 0.114
EXPECT 0.173 0.032 0.000 0.110 0.235 *
LUNCH -0.476 0.516 0.181 -1.479 0.537
DROPTHT7 -0.161 0.050 0.001 -0.254 -0.059 *
MATH7 0.874 0.235 0.000 0.416 1.333 *
MOTHED WITH
HOMERES 0.446 0.035 0.000 0.379 0.516 *
EXPEL -0.158 0.037 0.000 -0.231 -0.084 *
ARREST -0.026 0.041 0.268 -0.110 0.054
HISP -0.110 0.042 0.009 -0.191 -0.023 *
BLACK -0.201 0.041 0.000 -0.276 -0.119 *
EXPECT 0.403 0.027 0.000 0.350 0.458 *
LUNCH -4.242 0.448 0.000 -5.148 -3.380 *
DROPTHT7 -0.062 0.044 0.076 -0.150 0.023
MATH7 3.153 0.207 0.000 2.760 3.569 *
HOMERES WITH
EXPEL -0.239 0.055 0.000 -0.345 -0.128 *
ARREST -0.130 0.063 0.021 -0.252 -0.006 *
HISP -0.223 0.081 0.016 -0.355 -0.031 *
BLACK -0.584 0.065 0.000 -0.692 -0.442 *
EXPECT 0.646 0.046 0.000 0.558 0.737 *
LUNCH -8.893 0.722 0.000 -10.327 -7.503 *
DROPTHT7 -0.218 0.068 0.000 -0.351 -0.084 *
MATH7 5.822 0.342 0.000 5.168 6.503 *
EXPEL WITH
ARREST 0.487 0.048 0.000 0.390 0.578 *
HISP 0.018 0.062 0.386 -0.102 0.141
BLACK 0.259 0.050 0.000 0.155 0.356 *
EXPECT -0.335 0.043 0.000 -0.419 -0.248 *
LUNCH 5.426 0.610 0.000 4.218 6.594 *
DROPTHT7 0.460 0.050 0.000 0.358 0.554 *
MATH7 -3.274 0.337 0.000 -3.925 -2.602 *
ARREST WITH
HISP 0.048 0.065 0.229 -0.079 0.175
BLACK 0.025 0.062 0.338 -0.100 0.142
EXPECT -0.260 0.049 0.000 -0.355 -0.163 *
LUNCH 2.038 0.799 0.007 0.445 3.582 *
DROPTHT7 0.425 0.059 0.000 0.305 0.537 *
MATH7 -2.536 0.379 0.000 -3.272 -1.778 *
HISP WITH
BLACK -0.622 0.092 0.000 -0.831 -0.472 *
EXPECT -0.179 0.044 0.000 -0.264 -0.090 *
LUNCH 3.713 1.124 0.013 0.962 5.347 *
DROPTHT7 0.039 0.064 0.274 -0.087 0.165
MATH7 -2.040 0.540 0.010 -2.895 -0.866 *
BLACK WITH
EXPECT -0.003 0.045 0.471 -0.090 0.087
LUNCH 8.052 0.742 0.000 6.398 9.274 *
DROPTHT7 0.068 0.059 0.134 -0.052 0.181
MATH7 -3.804 0.449 0.000 -4.529 -2.816 *
EXPECT WITH
LUNCH -3.016 0.558 0.000 -4.120 -1.934 *
DROPTHT7 -0.409 0.050 0.000 -0.506 -0.308 *
MATH7 4.750 0.275 0.000 4.220 5.297 *
LUNCH WITH
DROPTHT7 0.711 0.815 0.196 -0.882 2.311
MATH7 -59.115 4.294 0.000 -67.713 -50.924 *
DROPTHT7 WITH
MATH7 -3.445 0.409 0.000 -4.234 -2.618 *
Means
MOTHED -0.007 0.020 0.369 -0.045 0.032
HOMERES -0.011 0.032 0.365 -0.074 0.052
EXPECT -0.006 0.025 0.414 -0.056 0.044
LUNCH -0.417 0.410 0.154 -1.214 0.388
MATH7 50.880 0.188 0.000 50.514 51.247 *
Intercepts
MATH10 16.793 1.141 0.000 14.549 19.043 *
Thresholds
HSDROP$1 0.365 0.231 0.059 -0.095 0.814
FEMALE$1 0.050 0.023 0.017 0.004 0.096 *
EXPEL$1 1.384 0.032 0.000 1.321 1.449 *
ARREST$1 1.602 0.037 0.000 1.529 1.675 *
HISP$1 1.335 0.031 0.000 1.272 1.396 *
BLACK$1 1.259 0.030 0.000 1.199 1.319 *
DROPTHT7$1 1.689 0.039 0.000 1.611 1.765 *
Variances
MOTHED 1.083 0.029 0.000 1.028 1.142 *
HOMERES 2.819 0.077 0.000 2.673 2.974 *
EXPECT 1.862 0.049 0.000 1.769 1.962 *
LUNCH 420.866 11.928 0.000 397.996 444.847 *
MATH7 102.643 2.690 0.000 97.496 108.139 *
Residual Variances
MATH10 66.089 2.108 0.000 62.127 70.411 *
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 MATH7 to HSDROP
Indirect -0.161 0.048 0.000 -0.254 -0.069 *
Direct effect -0.042 0.065 0.261 -0.165 0.086
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 MATH7 to HSDROP
Tot natural IE -0.013 0.005 0.000 -0.024 -0.005 *
Pure natural DE -0.004 0.006 0.261 -0.015 0.009
Total effect -0.017 0.003 0.000 -0.024 -0.011 *
Odds ratios for binary Y
Tot natural IE 0.697 0.072 0.000 0.575 0.854 *
Pure natural DE 0.913 0.131 0.000 0.691 1.197 *
Total effect 0.637 0.065 0.000 0.519 0.772 *
Other effects
Pure natural IE -0.014 0.004 0.000 -0.022 -0.006 *
Tot natural DE -0.003 0.005 0.261 -0.012 0.006
Total effect -0.017 0.003 0.000 -0.024 -0.011 *
Odds ratios for other effects for binary Y
Pure natural IE 0.700 0.074 0.000 0.570 0.860 *
Tot natural DE 0.909 0.137 0.000 0.683 1.212 *
Total effect 0.637 0.065 0.000 0.519 0.772 *
CREDIBILITY INTERVALS OF MODEL RESULTS
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
HSDROP ON
MATH10 -0.030 -0.027 -0.025 -0.017 -0.009 -0.007 -0.004
FEMALE 0.003 0.045 0.067 0.187 0.307 0.329 0.374
MOTHED -0.213 -0.190 -0.177 -0.109 -0.042 -0.028 -0.003
HOMERES -0.110 -0.094 -0.086 -0.045 -0.004 0.004 0.019
EXPEL 0.328 0.395 0.427 0.594 0.764 0.795 0.865
ARREST -0.143 -0.057 -0.014 0.202 0.416 0.455 0.537
HISP -0.266 -0.192 -0.158 0.038 0.227 0.264 0.333
BLACK -0.222 -0.159 -0.125 0.061 0.246 0.280 0.344
EXPECT -0.162 -0.143 -0.135 -0.089 -0.043 -0.033 -0.017
LUNCH -0.002 -0.001 0.000 0.003 0.006 0.006 0.007
DROPTHT7 -0.155 -0.069 -0.026 0.205 0.429 0.476 0.553
MATH7 -0.020 -0.016 -0.014 -0.004 0.006 0.008 0.013
MATH10 ON
FEMALE -1.901 -1.678 -1.561 -0.941 -0.327 -0.214 0.002
MOTHED -0.007 0.111 0.174 0.497 0.819 0.879 0.996
HOMERES 0.119 0.200 0.239 0.454 0.668 0.706 0.786
EXPEL -3.413 -2.936 -2.688 -1.424 -0.172 0.081 0.555
ARREST -4.743 -4.154 -3.846 -2.247 -0.649 -0.329 0.225
HISP -2.993 -2.569 -2.357 -1.242 -0.123 0.075 0.485
BLACK -2.489 -2.087 -1.885 -0.820 0.231 0.446 0.839
EXPECT 0.612 0.709 0.760 1.007 1.260 1.307 1.400
LUNCH -0.059 -0.053 -0.050 -0.032 -0.014 -0.011 -0.005
DROPTHT7 -4.147 -3.520 -3.193 -1.551 0.053 0.358 0.935
MATH7 0.870 0.884 0.891 0.926 0.961 0.967 0.980
FEMALE WITH
MOTHED -0.121 -0.106 -0.098 -0.058 -0.017 -0.009 0.005
HOMERES -0.282 -0.256 -0.244 -0.178 -0.112 -0.100 -0.075
EXPEL -0.468 -0.444 -0.432 -0.367 -0.299 -0.285 -0.258
ARREST -0.534 -0.502 -0.488 -0.412 -0.335 -0.320 -0.293
HISP -0.148 -0.123 -0.111 -0.044 0.021 0.033 0.057
BLACK -0.057 -0.034 -0.022 0.040 0.101 0.114 0.134
EXPECT 0.091 0.110 0.120 0.173 0.225 0.235 0.254
LUNCH -1.805 -1.479 -1.317 -0.476 0.380 0.537 0.840
DROPTHT7 -0.281 -0.254 -0.240 -0.161 -0.076 -0.059 -0.030
MATH7 0.274 0.416 0.491 0.874 1.260 1.333 1.489
MOTHED WITH
HOMERES 0.358 0.379 0.389 0.446 0.504 0.516 0.539
EXPEL -0.254 -0.231 -0.220 -0.158 -0.096 -0.084 -0.063
ARREST -0.136 -0.110 -0.095 -0.026 0.041 0.054 0.078
HISP -0.215 -0.191 -0.178 -0.110 -0.040 -0.023 0.014
BLACK -0.298 -0.276 -0.264 -0.201 -0.133 -0.119 -0.069
EXPECT 0.335 0.350 0.358 0.403 0.449 0.458 0.475
LUNCH -5.420 -5.148 -4.999 -4.242 -3.514 -3.380 -3.127
DROPTHT7 -0.177 -0.150 -0.135 -0.062 0.010 0.023 0.050
MATH7 2.633 2.760 2.821 3.153 3.502 3.569 3.703
HOMERES WITH
EXPEL -0.380 -0.345 -0.328 -0.239 -0.146 -0.128 -0.093
ARREST -0.288 -0.252 -0.232 -0.130 -0.025 -0.006 0.037
HISP -0.396 -0.355 -0.336 -0.223 -0.078 -0.031 0.086
BLACK -0.725 -0.692 -0.675 -0.584 -0.475 -0.442 -0.307
EXPECT 0.531 0.558 0.572 0.646 0.723 0.737 0.765
LUNCH -10.775 -10.327 -10.103 -8.893 -7.718 -7.503 -7.072
DROPTHT7 -0.387 -0.351 -0.331 -0.218 -0.106 -0.084 -0.043
MATH7 4.948 5.168 5.271 5.822 6.391 6.503 6.734
EXPEL WITH
ARREST 0.362 0.390 0.404 0.487 0.563 0.578 0.607
HISP -0.143 -0.102 -0.083 0.018 0.120 0.141 0.180
BLACK 0.119 0.155 0.175 0.259 0.340 0.356 0.390
EXPECT -0.443 -0.419 -0.406 -0.335 -0.262 -0.248 -0.220
LUNCH 3.813 4.218 4.410 5.426 6.420 6.594 7.028
DROPTHT7 0.325 0.358 0.374 0.460 0.540 0.554 0.580
MATH7 -4.112 -3.925 -3.816 -3.274 -2.702 -2.602 -2.395
ARREST WITH
HISP -0.120 -0.079 -0.061 0.048 0.155 0.175 0.209
BLACK -0.141 -0.100 -0.079 0.025 0.124 0.142 0.177
EXPECT -0.381 -0.355 -0.340 -0.260 -0.178 -0.163 -0.133
LUNCH -0.097 0.445 0.695 2.038 3.335 3.582 4.021
DROPTHT7 0.266 0.305 0.326 0.425 0.519 0.537 0.574
MATH7 -3.525 -3.272 -3.150 -2.536 -1.906 -1.778 -1.553
HISP WITH
BLACK -0.964 -0.831 -0.789 -0.622 -0.493 -0.472 -0.433
EXPECT -0.291 -0.264 -0.251 -0.179 -0.105 -0.090 -0.063
LUNCH -1.297 0.962 1.683 3.713 5.106 5.347 5.878
DROPTHT7 -0.124 -0.087 -0.067 0.039 0.142 0.165 0.206
MATH7 -3.164 -2.895 -2.761 -2.040 -1.117 -0.866 0.287
BLACK WITH
EXPECT -0.116 -0.090 -0.076 -0.003 0.073 0.087 0.116
LUNCH 4.897 6.398 6.801 8.052 9.082 9.274 9.595
DROPTHT7 -0.090 -0.052 -0.032 0.068 0.163 0.181 0.213
MATH7 -4.758 -4.529 -4.422 -3.804 -3.025 -2.816 -1.914
EXPECT WITH
LUNCH -4.468 -4.120 -3.938 -3.016 -2.099 -1.934 -1.604
DROPTHT7 -0.536 -0.506 -0.491 -0.409 -0.325 -0.308 -0.279
MATH7 4.061 4.220 4.301 4.750 5.207 5.297 5.474
LUNCH WITH
DROPTHT7 -1.355 -0.882 -0.624 0.711 2.053 2.311 2.806
MATH7 -70.521 -67.713 -66.333 -59.115 -52.179 -50.924 -48.477
DROPTHT7 WITH
MATH7 -4.478 -4.234 -4.112 -3.445 -2.763 -2.618 -2.353
Means
MOTHED -0.057 -0.045 -0.039 -0.007 0.026 0.032 0.044
HOMERES -0.093 -0.074 -0.064 -0.011 0.042 0.052 0.072
EXPECT -0.072 -0.056 -0.048 -0.006 0.036 0.044 0.060
LUNCH -1.470 -1.214 -1.090 -0.417 0.257 0.388 0.651
MATH7 50.403 50.514 50.572 50.880 51.190 51.247 51.365
Intercepts
MATH10 13.908 14.549 14.911 16.793 18.678 19.043 19.782
Thresholds
HSDROP$1 -0.236 -0.095 -0.021 0.365 0.742 0.814 0.964
FEMALE$1 -0.010 0.004 0.012 0.050 0.089 0.096 0.110
EXPEL$1 1.302 1.321 1.332 1.384 1.439 1.449 1.471
ARREST$1 1.508 1.529 1.541 1.602 1.663 1.675 1.701
HISP$1 1.252 1.272 1.283 1.335 1.385 1.396 1.414
BLACK$1 1.181 1.199 1.209 1.259 1.309 1.319 1.337
DROPTHT7$1 1.586 1.611 1.624 1.689 1.753 1.765 1.788
Variances
MOTHED 1.011 1.028 1.037 1.083 1.133 1.142 1.160
HOMERES 2.627 2.673 2.696 2.819 2.948 2.974 3.026
EXPECT 1.743 1.769 1.783 1.862 1.945 1.962 1.994
LUNCH 390.632 397.996 401.973 420.866 440.772 444.847 453.123
MATH7 95.943 97.496 98.362 102.643 107.237 108.139 109.778
Residual Variances
MATH10 60.940 62.127 62.736 66.089 69.658 70.411 71.771
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 MATH7 to HSDROP
Indirect -0.286 -0.254 -0.239 -0.161 -0.083 -0.069 -0.039
Direct effect -0.203 -0.165 -0.146 -0.042 0.065 0.086 0.127
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 MATH7 to HSDROP
Tot natural IE -0.029 -0.024 -0.022 -0.013 -0.006 -0.005 -0.003
Pure natural DE -0.018 -0.015 -0.013 -0.004 0.007 0.009 0.015
Total effect -0.026 -0.024 -0.023 -0.017 -0.012 -0.011 -0.008
Odds ratios for binary Y
Tot natural IE 0.539 0.575 0.593 0.697 0.827 0.854 0.914
Pure natural DE 0.632 0.691 0.721 0.913 1.148 1.197 1.302
Total effect 0.488 0.519 0.536 0.637 0.749 0.772 0.821
Other effects
Pure natural IE -0.025 -0.022 -0.021 -0.014 -0.008 -0.006 -0.004
Tot natural DE -0.016 -0.012 -0.011 -0.003 0.005 0.006 0.010
Total effect -0.026 -0.024 -0.023 -0.017 -0.012 -0.011 -0.008
Odds ratios for other effects for binary Y
Pure natural IE 0.532 0.570 0.589 0.700 0.833 0.860 0.918
Tot natural DE 0.626 0.683 0.714 0.909 1.159 1.212 1.329
Total effect 0.488 0.519 0.536 0.637 0.749 0.772 0.821
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
TAU
HSDROP$1 FEMALE$1 EXPEL$1 ARREST$1 HISP$1
________ ________ ________ ________ ________
1 91 92 93 94 95
TAU
BLACK$1 DROPTHT7
________ ________
1 96 97
NU
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
EXPECT LUNCH MATH7
________ ________ ________
1 0 0 0
LAMBDA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 0 0 0 0 0
FEMALE 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
DROPTHT7 0 0 0 0 0
MATH10 0 0 0 0 0
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
MATH7 0 0 0 0 0
LAMBDA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0 0 0 0 0
FEMALE 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
DROPTHT7 0 0 0 0 0
MATH10 0 0 0 0 0
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
MATH7 0 0 0 0 0
LAMBDA
EXPECT LUNCH MATH7
________ ________ ________
HSDROP 0 0 0
FEMALE 0 0 0
EXPEL 0 0 0
ARREST 0 0 0
HISP 0 0 0
BLACK 0 0 0
DROPTHT7 0 0 0
MATH10 0 0 0
MOTHED 0 0 0
HOMERES 0 0 0
EXPECT 0 0 0
LUNCH 0 0 0
MATH7 0 0 0
THETA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 0
FEMALE 0 0
EXPEL 0 0 0
ARREST 0 0 0 0
HISP 0 0 0 0 0
BLACK 0 0 0 0 0
DROPTHT7 0 0 0 0 0
MATH10 0 0 0 0 0
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
MATH7 0 0 0 0 0
THETA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
BLACK 0
DROPTHT7 0 0
MATH10 0 0 0
MOTHED 0 0 0 0
HOMERES 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
MATH7 0 0 0 0 0
THETA
EXPECT LUNCH MATH7
________ ________ ________
EXPECT 0
LUNCH 0 0
MATH7 0 0 0
ALPHA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
1 0 0 0 0 0
ALPHA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
1 0 0 1 2 3
ALPHA
EXPECT LUNCH MATH7
________ ________ ________
1 4 5 6
BETA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 0 7 8 9 10
FEMALE 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
DROPTHT7 0 0 0 0 0
MATH10 0 19 20 21 22
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
MATH7 0 0 0 0 0
BETA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 11 12 13 14 15
FEMALE 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
DROPTHT7 0 0 0 0 0
MATH10 23 24 0 25 26
MOTHED 0 0 0 0 0
HOMERES 0 0 0 0 0
EXPECT 0 0 0 0 0
LUNCH 0 0 0 0 0
MATH7 0 0 0 0 0
BETA
EXPECT LUNCH MATH7
________ ________ ________
HSDROP 16 17 18
FEMALE 0 0 0
EXPEL 0 0 0
ARREST 0 0 0
HISP 0 0 0
BLACK 0 0 0
DROPTHT7 0 0 0
MATH10 27 28 29
MOTHED 0 0 0
HOMERES 0 0 0
EXPECT 0 0 0
LUNCH 0 0 0
MATH7 0 0 0
PSI
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 0
FEMALE 0 0
EXPEL 0 30 0
ARREST 0 31 32 0
HISP 0 33 34 35 0
BLACK 0 36 37 38 39
DROPTHT7 0 40 41 42 43
MATH10 0 0 0 0 0
MOTHED 0 46 47 48 49
HOMERES 0 53 54 55 56
EXPECT 0 61 62 63 64
LUNCH 0 70 71 72 73
MATH7 0 80 81 82 83
PSI
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
BLACK 0
DROPTHT7 44 0
MATH10 0 0 45
MOTHED 50 51 0 52
HOMERES 57 58 0 59 60
EXPECT 65 66 0 67 68
LUNCH 74 75 0 76 77
MATH7 84 85 0 86 87
PSI
EXPECT LUNCH MATH7
________ ________ ________
EXPECT 69
LUNCH 78 79
MATH7 88 89 90
STARTING VALUES
TAU
HSDROP$1 FEMALE$1 EXPEL$1 ARREST$1 HISP$1
________ ________ ________ ________ ________
1 1.242 0.044 1.330 1.585 1.270
TAU
BLACK$1 DROPTHT7
________ ________
1 1.178 1.690
NU
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
EXPECT LUNCH MATH7
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 1.000 0.000 0.000 0.000 0.000
FEMALE 0.000 1.000 0.000 0.000 0.000
EXPEL 0.000 0.000 1.000 0.000 0.000
ARREST 0.000 0.000 0.000 1.000 0.000
HISP 0.000 0.000 0.000 0.000 1.000
BLACK 0.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 0.000 0.000 0.000 0.000
MATH10 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
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
LAMBDA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0.000 0.000 0.000 0.000 0.000
FEMALE 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 1.000 0.000 0.000 0.000 0.000
DROPTHT7 0.000 1.000 0.000 0.000 0.000
MATH10 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
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
LAMBDA
EXPECT LUNCH MATH7
________ ________ ________
HSDROP 0.000 0.000 0.000
FEMALE 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
DROPTHT7 0.000 0.000 0.000
MATH10 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000
EXPECT 1.000 0.000 0.000
LUNCH 0.000 1.000 0.000
MATH7 0.000 0.000 1.000
THETA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 0.000
FEMALE 0.000 0.000
EXPEL 0.000 0.000 0.000
ARREST 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
DROPTHT7 0.000 0.000 0.000 0.000 0.000
MATH10 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
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
THETA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
BLACK 0.000
DROPTHT7 0.000 0.000
MATH10 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
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
THETA
EXPECT LUNCH MATH7
________ ________ ________
EXPECT 0.000
LUNCH 0.000 0.000
MATH7 0.000 0.000 0.000
ALPHA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
ALPHA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
1 0.000 0.000 63.713 0.000 0.000
ALPHA
EXPECT LUNCH MATH7
________ ________ ________
1 0.000 0.000 50.882
BETA
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 0.000 0.000 0.000 0.000 0.000
FEMALE 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
DROPTHT7 0.000 0.000 0.000 0.000 0.000
MATH10 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
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
BETA
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
HSDROP 0.000 0.000 0.000 0.000 0.000
FEMALE 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
DROPTHT7 0.000 0.000 0.000 0.000 0.000
MATH10 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
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
BETA
EXPECT LUNCH MATH7
________ ________ ________
HSDROP 0.000 0.000 0.000
FEMALE 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
DROPTHT7 0.000 0.000 0.000
MATH10 0.000 0.000 0.000
MOTHED 0.000 0.000 0.000
HOMERES 0.000 0.000 0.000
EXPECT 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000
MATH7 0.000 0.000 0.000
PSI
HSDROP FEMALE EXPEL ARREST HISP
________ ________ ________ ________ ________
HSDROP 1.000
FEMALE 0.000 0.000
EXPEL 0.000 0.000 0.000
ARREST 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
DROPTHT7 0.000 0.000 0.000 0.000 0.000
MATH10 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
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
PSI
BLACK DROPTHT7 MATH10 MOTHED HOMERES
________ ________ ________ ________ ________
BLACK 0.000
DROPTHT7 0.000 0.000
MATH10 0.000 0.000 92.492
MOTHED 0.000 0.000 0.000 0.541
HOMERES 0.000 0.000 0.000 0.000 1.409
EXPECT 0.000 0.000 0.000 0.000 0.000
LUNCH 0.000 0.000 0.000 0.000 0.000
MATH7 0.000 0.000 0.000 0.000 0.000
PSI
EXPECT LUNCH MATH7
________ ________ ________
EXPECT 0.931
LUNCH 0.000 210.194
MATH7 0.000 0.000 51.330
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,infinity) 0.0000 infinity infinity
Parameter 3~N(0.000,infinity) 0.0000 infinity infinity
Parameter 4~N(0.000,infinity) 0.0000 infinity infinity
Parameter 5~N(0.000,infinity) 0.0000 infinity infinity
Parameter 6~N(0.000,infinity) 0.0000 infinity infinity
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(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 15~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 16~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 17~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 18~N(0.000,5.000) 0.0000 5.0000 2.2361
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~N(0.000,infinity) 0.0000 infinity infinity
Parameter 26~N(0.000,infinity) 0.0000 infinity infinity
Parameter 27~N(0.000,infinity) 0.0000 infinity infinity
Parameter 28~N(0.000,infinity) 0.0000 infinity infinity
Parameter 29~N(0.000,infinity) 0.0000 infinity infinity
Parameter 30~IW(0.000,12)
Parameter 31~IW(0.000,12)
Parameter 32~IW(0.000,12)
Parameter 33~IW(0.000,12)
Parameter 34~IW(0.000,12)
Parameter 35~IW(0.000,12)
Parameter 36~IW(0.000,12)
Parameter 37~IW(0.000,12)
Parameter 38~IW(0.000,12)
Parameter 39~IW(0.000,12)
Parameter 40~IW(0.000,12)
Parameter 41~IW(0.000,12)
Parameter 42~IW(0.000,12)
Parameter 43~IW(0.000,12)
Parameter 44~IW(0.000,12)
Parameter 45~IG(-1.000,0.000) infinity infinity infinity
Parameter 46~IW(0.000,12)
Parameter 47~IW(0.000,12)
Parameter 48~IW(0.000,12)
Parameter 49~IW(0.000,12)
Parameter 50~IW(0.000,12)
Parameter 51~IW(0.000,12)
Parameter 52~IW(1.000,12)
Parameter 53~IW(0.000,12)
Parameter 54~IW(0.000,12)
Parameter 55~IW(0.000,12)
Parameter 56~IW(0.000,12)
Parameter 57~IW(0.000,12)
Parameter 58~IW(0.000,12)
Parameter 59~IW(0.000,12)
Parameter 60~IW(1.000,12)
Parameter 61~IW(0.000,12)
Parameter 62~IW(0.000,12)
Parameter 63~IW(0.000,12)
Parameter 64~IW(0.000,12)
Parameter 65~IW(0.000,12)
Parameter 66~IW(0.000,12)
Parameter 67~IW(0.000,12)
Parameter 68~IW(0.000,12)
Parameter 69~IW(1.000,12)
Parameter 70~IW(0.000,12)
Parameter 71~IW(0.000,12)
Parameter 72~IW(0.000,12)
Parameter 73~IW(0.000,12)
Parameter 74~IW(0.000,12)
Parameter 75~IW(0.000,12)
Parameter 76~IW(0.000,12)
Parameter 77~IW(0.000,12)
Parameter 78~IW(0.000,12)
Parameter 79~IW(1.000,12)
Parameter 80~IW(0.000,12)
Parameter 81~IW(0.000,12)
Parameter 82~IW(0.000,12)
Parameter 83~IW(0.000,12)
Parameter 84~IW(0.000,12)
Parameter 85~IW(0.000,12)
Parameter 86~IW(0.000,12)
Parameter 87~IW(0.000,12)
Parameter 88~IW(0.000,12)
Parameter 89~IW(0.000,12)
Parameter 90~IW(1.000,12)
Parameter 91~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 92~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 93~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 94~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 95~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 96~N(0.000,5.000) 0.0000 5.0000 2.2361
Parameter 97~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 85 0.1700 0.0994
Parameter 8 0.1500 0.1930
Parameter 71 0.1500 0.1930
Parameter 90 0.1500 0.1930
Parameter 22 0.1500 0.1930
Parameter 72 0.1400 0.2606
Parameter 6 0.1400 0.2606
Parameter 9 0.1300 0.3439
Parameter 76 0.1300 0.3439
Parameter 84 0.1300 0.3439
Parameter 77 0.1300 0.3439
Parameter 19 0.1200 0.4431
Parameter 41 0.1200 0.4431
Parameter 12 0.1200 0.4431
Parameter 54 0.1200 0.4431
Parameter 25 0.1200 0.4431
Parameter 24 0.1200 0.4431
Parameter 79 0.1200 0.4431
Parameter 11 0.1100 0.5560
Parameter 42 0.1100 0.5560
Parameter 20 0.1100 0.5560
Parameter 86 0.1000 0.6766
Parameter 75 0.1000 0.6766
Parameter 45 0.1000 0.6766
Parameter 27 0.1000 0.6766
Parameter 81 0.1000 0.6766
Parameter 78 0.0900 0.7942
Parameter 21 0.0900 0.7942
Parameter 82 0.0900 0.7942
Parameter 74 0.0800 0.8938
Parameter 89 0.0800 0.8938
Parameter 26 0.0800 0.8938
Parameter 31 0.0800 0.8938
Parameter 57 0.0800 0.8938
Parameter 91 0.0800 0.8938
Parameter 1 0.0700 0.9610
Parameter 55 0.0700 0.9610
Parameter 23 0.0700 0.9610
Parameter 83 0.0700 0.9610
Parameter 70 0.0700 0.9610
Parameter 88 0.0700 0.9610
Parameter 87 0.0700 0.9610
Parameter 36 0.0600 0.9921
Parameter 39 0.0600 0.9921
Parameter 40 0.0600 0.9921
Parameter 80 0.0600 0.9921
Parameter 94 0.0600 0.9921
Parameter 5 0.0600 0.9921
Parameter 58 0.0600 0.9921
Parameter 10 0.0600 0.9921
Parameter 73 0.0600 0.9921
Parameter 97 0.0500 0.9995
Parameter 51 0.0500 0.9995
Parameter 95 0.0500 0.9995
Parameter 56 0.0500 0.9995
Parameter 7 0.0500 0.9995
Parameter 64 0.0400 1.0000
Parameter 65 0.0400 1.0000
Parameter 34 0.0400 1.0000
Parameter 38 0.0400 1.0000
Parameter 96 0.0400 1.0000
Parameter 49 0.0400 1.0000
Parameter 50 0.0400 1.0000
Parameter 53 0.0400 1.0000
Parameter 3 0.0400 1.0000
Parameter 59 0.0400 1.0000
Parameter 33 0.0300 1.0000
Parameter 69 0.0300 1.0000
Parameter 4 0.0300 1.0000
Parameter 61 0.0300 1.0000
Parameter 47 0.0300 1.0000
Parameter 67 0.0300 1.0000
Parameter 48 0.0300 1.0000
Parameter 37 0.0300 1.0000
Parameter 35 0.0300 1.0000
Parameter 43 0.0300 1.0000
Parameter 93 0.0300 1.0000
Parameter 60 0.0300 1.0000
Parameter 30 0.0300 1.0000
Parameter 62 0.0300 1.0000
Parameter 32 0.0200 1.0000
Parameter 44 0.0200 1.0000
Parameter 63 0.0200 1.0000
Parameter 52 0.0200 1.0000
Parameter 68 0.0200 1.0000
Parameter 66 0.0200 1.0000
Parameter 14 0.0200 1.0000
Parameter 2 0.0100 1.0000
Parameter 16 0.0100 1.0000
Parameter 92 0.0100 1.0000
Parameter 29 0.0100 1.0000
Parameter 28 0.0000 1.0000
Parameter 18 0.0000 1.0000
Parameter 46 0.0000 1.0000
Parameter 13 0.0000 1.0000
Parameter 15 0.0000 1.0000
Parameter 17 0.0000 1.0000
Simulated prior distributions
Parameter Prior Mean Prior Variance Prior Std. Dev.
Parameter 1 Improper Prior
Parameter 2 Improper Prior
Parameter 3 Improper Prior
Parameter 4 Improper Prior
Parameter 5 Improper Prior
Parameter 6 Improper Prior
Parameter 7 -0.0085 5.0223 2.2410
Parameter 8 -0.0709 4.7462 2.1786
Parameter 9 0.0423 5.5809 2.3624
Parameter 10 -0.1358 4.8661 2.2059
Parameter 11 0.1562 4.9122 2.2163
Parameter 12 -0.0449 5.0839 2.2548
Parameter 13 -0.1255 5.1436 2.2680
Parameter 14 -0.0568 5.2022 2.2808
Parameter 15 -0.1189 5.2922 2.3005
Parameter 16 0.0199 5.1778 2.2755
Parameter 17 -0.0242 4.7430 2.1778
Parameter 18 0.0789 5.0043 2.2370
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 Improper Prior
Parameter 27 Improper Prior
Parameter 28 Improper Prior
Parameter 29 Improper Prior
Parameter 30 0.0062 0.3307 0.5751
Parameter 31 0.0271 0.3351 0.5789
Parameter 32 -0.0285 0.3450 0.5873
Parameter 33 -0.0098 0.3326 0.5768
Parameter 34 -0.0125 0.3467 0.5888
Parameter 35 -0.0363 0.3390 0.5823
Parameter 36 0.0058 0.3333 0.5774
Parameter 37 0.0102 0.3448 0.5872
Parameter 38 -0.0083 0.3483 0.5902
Parameter 39 -0.0177 0.3477 0.5897
Parameter 40 -0.0011 0.3318 0.5760
Parameter 41 0.0071 0.3402 0.5832
Parameter 42 -0.0121 0.3351 0.5789
Parameter 43 0.0275 0.3331 0.5771
Parameter 44 0.0168 0.3530 0.5941
Parameter 45 Improper Prior
Parameter 46 0.0421 3.8927 1.9730
Parameter 47 -0.0424 4.0037 2.0009
Parameter 48 0.0343 3.8585 1.9643
Parameter 49 0.0060 3.9504 1.9876
Parameter 50 -0.0293 4.0342 2.0085
Parameter 51 0.0166 3.9592 1.9898
Parameter 52 4.9294 1281.0087 35.7912
Parameter 53 0.0063 8.2275 2.8684
Parameter 54 -0.0332 8.3044 2.8817
Parameter 55 -0.1986 7.6826 2.7717
Parameter 56 0.0477 8.3933 2.8971
Parameter 57 0.0524 8.4233 2.9023
Parameter 58 -0.0322 7.8271 2.7977
Parameter 59 -1.4507 1960.8306 44.2813
Parameter 60 9.3388 8036.0057 89.6438
Parameter 61 -0.1374 5.8514 2.4190
Parameter 62 -0.0275 6.0901 2.4678
Parameter 63 -0.0717 5.7297 2.3937
Parameter 64 -0.0966 6.0427 2.4582
Parameter 65 0.0157 6.1026 2.4703
Parameter 66 -0.0102 6.0167 2.4529
Parameter 67 0.0468 375.3883 19.3749
Parameter 68 -1.2263 2433.5867 49.3314
Parameter 69 7.0570 3308.3531 57.5183
Parameter 70 0.0057 5.5031 2.3459
Parameter 71 0.0037 5.4859 2.3422
Parameter 72 -0.1063 5.4538 2.3353
Parameter 73 -0.1290 5.4252 2.3292
Parameter 74 -0.0561 5.4439 2.3332
Parameter 75 -0.0241 5.1040 2.2592
Parameter 76 0.1189 173.2612 13.1629
Parameter 77 1.1032 3079.5574 55.4938
Parameter 78 0.2201 2695.7333 51.9205
Parameter 79 6.4175 3664.5850 60.5358
Parameter 80 0.0635 3.4665 1.8619
Parameter 81 -0.0816 3.4886 1.8678
Parameter 82 -0.0937 3.3741 1.8369
Parameter 83 -0.0614 3.5306 1.8790
Parameter 84 0.1115 3.5153 1.8749
Parameter 85 -0.0166 3.2767 1.8102
Parameter 86 0.5215 380.2452 19.4999
Parameter 87 -0.1076 1408.6575 37.5321
Parameter 88 -0.5823 407.9166 20.1969
Parameter 89 1.0796 553.8909 23.5349
Parameter 90 4.4472 546.1369 23.3696
Parameter 91 0.0806 5.0975 2.2578
Parameter 92 -0.0925 4.7871 2.1879
Parameter 93 0.0409 5.0546 2.2482
Parameter 94 0.1412 4.8633 2.2053
Parameter 95 0.0904 5.3286 2.3084
Parameter 96 0.0052 5.2821 2.2983
Parameter 97 0.0249 4.8726 2.2074
TECHNICAL 8 OUTPUT FOR BAYES ESTIMATION
CHAIN BSEED
1 0
2 285380
POTENTIAL PARAMETER WITH
ITERATION SCALE REDUCTION HIGHEST PSR
100 3.268 39
200 2.424 39
300 2.824 39
400 2.157 39
500 1.819 39
600 1.988 39
700 2.012 39
800 1.477 39
900 1.336 84
1000 1.253 84
1100 1.203 84
1200 1.156 84
1300 1.201 84
1400 1.241 84
1500 1.210 84
1600 1.235 84
1700 1.180 84
1800 1.117 35
1900 1.129 35
2000 1.087 35
2100 1.048 35
2200 1.061 35
2300 1.084 35
2400 1.107 35
2500 1.120 35
2600 1.095 35
2700 1.141 35
2800 1.152 35
2900 1.167 35
3000 1.175 39
3100 1.181 39
3200 1.148 39
3300 1.136 39
3400 1.096 39
3500 1.115 39
3600 1.077 39
3700 1.047 39
3800 1.052 36
3900 1.066 39
4000 1.095 39
4100 1.086 39
4200 1.106 39
4300 1.128 39
4400 1.140 39
4500 1.133 39
4600 1.131 39
4700 1.134 39
4800 1.143 39
4900 1.127 39
5000 1.124 39
5100 1.121 39
5200 1.134 39
5300 1.137 39
5400 1.118 39
5500 1.103 39
5600 1.117 39
5700 1.125 39
5800 1.121 39
5900 1.109 39
6000 1.107 39
6100 1.096 39
6200 1.090 39
6300 1.080 39
6400 1.069 39
6500 1.048 39
6600 1.039 39
6700 1.039 39
6800 1.041 56
6900 1.039 56
7000 1.049 56
7100 1.051 39
7200 1.058 39
7300 1.068 39
7400 1.071 39
7500 1.072 39
7600 1.065 39
7700 1.068 39
7800 1.073 39
7900 1.064 39
8000 1.055 39
8100 1.060 39
8200 1.060 39
8300 1.047 39
8400 1.042 39
8500 1.032 56
8600 1.030 56
8700 1.029 56
8800 1.031 56
8900 1.033 56
9000 1.028 56
9100 1.026 56
9200 1.020 33
9300 1.022 33
9400 1.019 33
9500 1.018 36
9600 1.019 33
9700 1.021 36
9800 1.020 36
9900 1.022 36
10000 1.017 36
10100 1.018 43
10200 1.023 43
10300 1.033 43
10400 1.039 43
10500 1.043 43
10600 1.046 43
10700 1.050 43
10800 1.053 43
10900 1.045 43
11000 1.045 43
11100 1.045 43
11200 1.039 43
11300 1.039 43
11400 1.042 43
11500 1.038 43
11600 1.037 43
11700 1.039 43
11800 1.035 43
11900 1.033 43
12000 1.032 43
12100 1.031 43
12200 1.032 43
12300 1.027 43
12400 1.024 43
12500 1.023 43
12600 1.024 43
12700 1.025 43
12800 1.025 43
12900 1.026 43
13000 1.027 43
13100 1.030 43
13200 1.034 43
13300 1.037 43
13400 1.039 43
13500 1.047 43
13600 1.050 43
13700 1.051 43
13800 1.054 43
13900 1.049 43
14000 1.048 43
14100 1.043 43
14200 1.040 43
14300 1.038 43
14400 1.036 43
14500 1.030 43
14600 1.027 43
14700 1.026 43
14800 1.026 43
14900 1.024 43
15000 1.023 43
15100 1.021 43
15200 1.020 43
15300 1.019 43
15400 1.019 43
15500 1.019 43
15600 1.019 43
15700 1.018 43
15800 1.016 43
15900 1.013 43
16000 1.011 43
16100 1.010 75
16200 1.010 43
16300 1.010 75
16400 1.009 43
16500 1.011 43
16600 1.012 43
16700 1.012 43
16800 1.012 43
16900 1.010 43
17000 1.010 43
17100 1.010 56
17200 1.010 56
17300 1.011 56
17400 1.013 56
17500 1.013 56
17600 1.011 56
17700 1.011 56
17800 1.012 56
17900 1.011 56
18000 1.009 56
18100 1.010 56
18200 1.009 56
18300 1.008 56
18400 1.008 56
18500 1.007 56
18600 1.006 56
18700 1.006 56
18800 1.005 74
18900 1.006 74
19000 1.005 85
19100 1.005 85
19200 1.005 85
19300 1.005 85
19400 1.004 34
19500 1.004 85
19600 1.005 85
19700 1.005 85
19800 1.005 85
19900 1.004 85
20000 1.004 85
PLOT INFORMATION
The following plots are available:
Histograms (sample values)
Scatterplots (sample values)
Sample proportions
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\bengt2~1\docume~1\bengt\mplusr~1\abook-~2\pathan~1\pa91ef~1\pathan~3\tech3a~1\9-16 fina
Beginning Time: 14:05:04
Ending Time: 14:07:57
Elapsed Time: 00:02:53
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