R version 4.4.1 (2024-06-14 ucrt) -- "Race for Your Life"
Copyright (C) 2024 The R Foundation for Statistical Computing
Platform: x86_64-w64-mingw32/x64

R is free software and comes with ABSOLUTELY NO WARRANTY.
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Type 'license()' or 'licence()' for distribution details.

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Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> ############################################################################
> #     MLwiN MCMC Manual
> #
> # 6   Random Slopes Regression Models . . . . . . . . . . . . . . . . . . 71
> #
> #     Browne, W.J. (2009) MCMC Estimation in MLwiN, v2.13. Centre for
> #     Multilevel Modelling, University of Bristol.
> ############################################################################
> #     R script to replicate all analyses using R2MLwiN
> #
> #     Zhang, Z., Charlton, C., Parker, R, Leckie, G., and Browne, W.J.
> #     Centre for Multilevel Modelling, 2012
> #     http://www.bristol.ac.uk/cmm/software/R2MLwiN/
> ############################################################################
> 
> library(R2MLwiN)

R2MLwiN: A package to run models implemented in MLwiN from R
Copyright 2013-2024 Zhengzheng Zhang, Christopher M. J. Charlton, Richard M. A. Parker, William J. Browne and George Leckie

Support provided by the Economic and Social Research Council (ESRC)
(Grants RES-149-25-1084, RES-576-25-0032 and ES/K007246/1)

To cite R2MLwiN in publications use:

  Zhengzheng Zhang, Richard M. A. Parker, Christopher M. J. Charlton,
  George Leckie, William J. Browne (2016). R2MLwiN: A Package to Run
  MLwiN from within R. Journal of Statistical Software, 72(10), 1-43.
  doi:10.18637/jss.v072.i10

A BibTeX entry for LaTeX users is

  @Article{,
    title = {{R2MLwiN}: A Package to Run {MLwiN} from within {R}},
    author = {Zhengzheng Zhang and Richard M. A. Parker and Christopher M. J. Charlton and George Leckie and William J. Browne},
    journal = {Journal of Statistical Software},
    year = {2016},
    volume = {72},
    number = {10},
    pages = {1--43},
    doi = {10.18637/jss.v072.i10},
  }

The MLwiN_path option is currently set to C:/Program Files/MLwiN v3.11/
To change this use: options(MLwiN_path="<path to MLwiN>")
> # MLwiN folder
> mlwin <- getOption("MLwiN_path")
> while (!file.access(mlwin, mode = 1) == 0) {
+   cat("Please specify the root MLwiN folder or the full path to the MLwiN executable:\n")
+   mlwin <- scan(what = character(0), sep = "\n")
+   mlwin <- gsub("\\", "/", mlwin, fixed = TRUE)
+ }
> options(MLwiN_path = mlwin)
> 
> ## Read tutorial data
> data(tutorial, package = "R2MLwiN")
> 
> ## Choose MCMC algoritm for estimation (IGLS will be used to obtain starting values for MCMC)
> (mymodel <- runMLwiN(normexam ~ 1 + standlrt + school + school:standlrt + (1 | student), estoptions = list(EstM = 1), 
+   data = tutorial))
MLwiN is running, please wait......
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence achieved
TOLE 2
MAXI 20
BATC 1

Batch mode is ON
NEXT
iteration 2

Convergence achieved
ECHO 0

Echoing is ON
MCMC   0 500 1 5.8 50 10   1 1 1 1 1 1
BURNING IN...
Burning in for 50 iterations out of 500
-2 * Loglike = 9093.418531
Burning in for 100 iterations out of 500
-2 * Loglike = 9092.900586
Burning in for 150 iterations out of 500
-2 * Loglike = 9118.380097
Burning in for 200 iterations out of 500
-2 * Loglike = 9118.685771
Burning in for 250 iterations out of 500
-2 * Loglike = 9105.378461
Burning in for 300 iterations out of 500
-2 * Loglike = 9105.934099
Burning in for 350 iterations out of 500
-2 * Loglike = 9134.500789
Burning in for 400 iterations out of 500
-2 * Loglike = 9138.704459
Burning in for 450 iterations out of 500
-2 * Loglike = 9159.735979
Burning in for 500 iterations out of 500
-2 * Loglike = 9129.797786

ERAS  c1090 c1091

MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1
Actual update 50 of 5000, Stored update 50 of 5000
-2 * Loglike = 9091.857742
Actual update 100 of 5000, Stored update 100 of 5000
-2 * Loglike = 9139.149573
Actual update 150 of 5000, Stored update 150 of 5000
-2 * Loglike = 9114.754009
Actual update 200 of 5000, Stored update 200 of 5000
-2 * Loglike = 9110.714071
Actual update 250 of 5000, Stored update 250 of 5000
-2 * Loglike = 9126.173028
Actual update 300 of 5000, Stored update 300 of 5000
-2 * Loglike = 9116.028105
Actual update 350 of 5000, Stored update 350 of 5000
-2 * Loglike = 9113.275752
Actual update 400 of 5000, Stored update 400 of 5000
-2 * Loglike = 9124.253577
Actual update 450 of 5000, Stored update 450 of 5000
-2 * Loglike = 9117.518915
Actual update 500 of 5000, Stored update 500 of 5000
-2 * Loglike = 9131.493118
Actual update 550 of 5000, Stored update 550 of 5000
-2 * Loglike = 9105.840549
Actual update 600 of 5000, Stored update 600 of 5000
-2 * Loglike = 9123.911967
Actual update 650 of 5000, Stored update 650 of 5000
-2 * Loglike = 9103.578211
Actual update 700 of 5000, Stored update 700 of 5000
-2 * Loglike = 9116.991012
Actual update 750 of 5000, Stored update 750 of 5000
-2 * Loglike = 9117.854430
Actual update 800 of 5000, Stored update 800 of 5000
-2 * Loglike = 9106.765475
Actual update 850 of 5000, Stored update 850 of 5000
-2 * Loglike = 9144.235795
Actual update 900 of 5000, Stored update 900 of 5000
-2 * Loglike = 9099.419419
Actual update 950 of 5000, Stored update 950 of 5000
-2 * Loglike = 9127.688079
Actual update 1000 of 5000, Stored update 1000 of 5000
-2 * Loglike = 9158.443020
Actual update 1050 of 5000, Stored update 1050 of 5000
-2 * Loglike = 9094.865749
Actual update 1100 of 5000, Stored update 1100 of 5000
-2 * Loglike = 9116.082855
Actual update 1150 of 5000, Stored update 1150 of 5000
-2 * Loglike = 9117.468759
Actual update 1200 of 5000, Stored update 1200 of 5000
-2 * Loglike = 9127.819119
Actual update 1250 of 5000, Stored update 1250 of 5000
-2 * Loglike = 9123.786680
Actual update 1300 of 5000, Stored update 1300 of 5000
-2 * Loglike = 9097.689286
Actual update 1350 of 5000, Stored update 1350 of 5000
-2 * Loglike = 9128.028155
Actual update 1400 of 5000, Stored update 1400 of 5000
-2 * Loglike = 9128.326314
Actual update 1450 of 5000, Stored update 1450 of 5000
-2 * Loglike = 9135.997273
Actual update 1500 of 5000, Stored update 1500 of 5000
-2 * Loglike = 9140.903782
Actual update 1550 of 5000, Stored update 1550 of 5000
-2 * Loglike = 9118.373033
Actual update 1600 of 5000, Stored update 1600 of 5000
-2 * Loglike = 9104.554069
Actual update 1650 of 5000, Stored update 1650 of 5000
-2 * Loglike = 9123.293877
Actual update 1700 of 5000, Stored update 1700 of 5000
-2 * Loglike = 9107.257709
Actual update 1750 of 5000, Stored update 1750 of 5000
-2 * Loglike = 9116.612875
Actual update 1800 of 5000, Stored update 1800 of 5000
-2 * Loglike = 9109.452977
Actual update 1850 of 5000, Stored update 1850 of 5000
-2 * Loglike = 9133.951513
Actual update 1900 of 5000, Stored update 1900 of 5000
-2 * Loglike = 9124.577192
Actual update 1950 of 5000, Stored update 1950 of 5000
-2 * Loglike = 9116.301573
Actual update 2000 of 5000, Stored update 2000 of 5000
-2 * Loglike = 9105.496177
Actual update 2050 of 5000, Stored update 2050 of 5000
-2 * Loglike = 9102.734252
Actual update 2100 of 5000, Stored update 2100 of 5000
-2 * Loglike = 9158.727444
Actual update 2150 of 5000, Stored update 2150 of 5000
-2 * Loglike = 9115.842466
Actual update 2200 of 5000, Stored update 2200 of 5000
-2 * Loglike = 9130.662720
Actual update 2250 of 5000, Stored update 2250 of 5000
-2 * Loglike = 9115.131284
Actual update 2300 of 5000, Stored update 2300 of 5000
-2 * Loglike = 9116.122359
Actual update 2350 of 5000, Stored update 2350 of 5000
-2 * Loglike = 9118.500282
Actual update 2400 of 5000, Stored update 2400 of 5000
-2 * Loglike = 9112.228719
Actual update 2450 of 5000, Stored update 2450 of 5000
-2 * Loglike = 9100.720416
Actual update 2500 of 5000, Stored update 2500 of 5000
-2 * Loglike = 9120.453749
Actual update 2550 of 5000, Stored update 2550 of 5000
-2 * Loglike = 9107.097140
Actual update 2600 of 5000, Stored update 2600 of 5000
-2 * Loglike = 9096.640975
Actual update 2650 of 5000, Stored update 2650 of 5000
-2 * Loglike = 9111.706882
Actual update 2700 of 5000, Stored update 2700 of 5000
-2 * Loglike = 9112.883092
Actual update 2750 of 5000, Stored update 2750 of 5000
-2 * Loglike = 9084.434828
Actual update 2800 of 5000, Stored update 2800 of 5000
-2 * Loglike = 9110.722011
Actual update 2850 of 5000, Stored update 2850 of 5000
-2 * Loglike = 9128.702644
Actual update 2900 of 5000, Stored update 2900 of 5000
-2 * Loglike = 9114.949033
Actual update 2950 of 5000, Stored update 2950 of 5000
-2 * Loglike = 9122.983417
Actual update 3000 of 5000, Stored update 3000 of 5000
-2 * Loglike = 9124.000837
Actual update 3050 of 5000, Stored update 3050 of 5000
-2 * Loglike = 9113.898441
Actual update 3100 of 5000, Stored update 3100 of 5000
-2 * Loglike = 9096.052350
Actual update 3150 of 5000, Stored update 3150 of 5000
-2 * Loglike = 9096.346731
Actual update 3200 of 5000, Stored update 3200 of 5000
-2 * Loglike = 9108.993970
Actual update 3250 of 5000, Stored update 3250 of 5000
-2 * Loglike = 9084.693941
Actual update 3300 of 5000, Stored update 3300 of 5000
-2 * Loglike = 9095.251089
Actual update 3350 of 5000, Stored update 3350 of 5000
-2 * Loglike = 9120.634017
Actual update 3400 of 5000, Stored update 3400 of 5000
-2 * Loglike = 9134.141289
Actual update 3450 of 5000, Stored update 3450 of 5000
-2 * Loglike = 9098.777982
Actual update 3500 of 5000, Stored update 3500 of 5000
-2 * Loglike = 9126.291347
Actual update 3550 of 5000, Stored update 3550 of 5000
-2 * Loglike = 9115.912032
Actual update 3600 of 5000, Stored update 3600 of 5000
-2 * Loglike = 9109.901836
Actual update 3650 of 5000, Stored update 3650 of 5000
-2 * Loglike = 9100.639733
Actual update 3700 of 5000, Stored update 3700 of 5000
-2 * Loglike = 9114.264070
Actual update 3750 of 5000, Stored update 3750 of 5000
-2 * Loglike = 9109.996807
Actual update 3800 of 5000, Stored update 3800 of 5000
-2 * Loglike = 9121.732075
Actual update 3850 of 5000, Stored update 3850 of 5000
-2 * Loglike = 9118.397513
Actual update 3900 of 5000, Stored update 3900 of 5000
-2 * Loglike = 9129.093108
Actual update 3950 of 5000, Stored update 3950 of 5000
-2 * Loglike = 9125.064921
Actual update 4000 of 5000, Stored update 4000 of 5000
-2 * Loglike = 9135.931942
Actual update 4050 of 5000, Stored update 4050 of 5000
-2 * Loglike = 9135.830370
Actual update 4100 of 5000, Stored update 4100 of 5000
-2 * Loglike = 9118.841312
Actual update 4150 of 5000, Stored update 4150 of 5000
-2 * Loglike = 9129.628546
Actual update 4200 of 5000, Stored update 4200 of 5000
-2 * Loglike = 9158.583421
Actual update 4250 of 5000, Stored update 4250 of 5000
-2 * Loglike = 9128.597314
Actual update 4300 of 5000, Stored update 4300 of 5000
-2 * Loglike = 9141.338552
Actual update 4350 of 5000, Stored update 4350 of 5000
-2 * Loglike = 9105.516208
Actual update 4400 of 5000, Stored update 4400 of 5000
-2 * Loglike = 9118.578704
Actual update 4450 of 5000, Stored update 4450 of 5000
-2 * Loglike = 9143.639765
Actual update 4500 of 5000, Stored update 4500 of 5000
-2 * Loglike = 9121.966083
Actual update 4550 of 5000, Stored update 4550 of 5000
-2 * Loglike = 9111.260866
Actual update 4600 of 5000, Stored update 4600 of 5000
-2 * Loglike = 9084.455123
Actual update 4650 of 5000, Stored update 4650 of 5000
-2 * Loglike = 9107.838627
Actual update 4700 of 5000, Stored update 4700 of 5000
-2 * Loglike = 9143.512938
Actual update 4750 of 5000, Stored update 4750 of 5000
-2 * Loglike = 9135.113191
Actual update 4800 of 5000, Stored update 4800 of 5000
-2 * Loglike = 9105.161130
Actual update 4850 of 5000, Stored update 4850 of 5000
-2 * Loglike = 9106.430748
Actual update 4900 of 5000, Stored update 4900 of 5000
-2 * Loglike = 9113.083779
Actual update 4950 of 5000, Stored update 4950 of 5000
-2 * Loglike = 9090.183744
Actual update 5000 of 5000, Stored update 5000 of 5000
-2 * Loglike = 9089.552195
PUPN c1003 c1004
AVER c1091 b99 b100

Count   =           5000
Average =          9118.2
S.D.    =          16.250
S.E.M.  =         0.22980

ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
Estimation algorithm:  MCMC      Elapsed time : 13.58s 
Number of obs:  4059 (from total 4059)          Number of iter.: 5000  Chains: 1  Burn-in: 500 
Bayesian Deviance Information Criterion (DIC)
Dbar      D(thetabar)    pD      DIC
9118.244   8987.053   131.191    9249.435   
--------------------------------------------------------------------------------------------------- 
The model formula:
normexam ~ 1 + standlrt + school + school:standlrt + (1 | student)
Level 1: student      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
                       Coef.   Std. Err.      z    Pr(>|z|)       [95% Cred.   Interval]    ESS 
Intercept            0.38271     0.08830   4.33   1.463e-05  ***     0.20691     0.55172   5000 
standlrt             0.70866     0.08359   8.48   2.286e-17  ***     0.54932     0.87178   4405 
school2              0.10153     0.13727   0.74      0.4595         -0.15955     0.37598   5000 
school3              0.17442     0.14755   1.18      0.2372         -0.11027     0.46765   5218 
school4             -0.37771     0.12128  -3.11    0.001843  **     -0.61238    -0.14086   5000 
school5             -0.12408     0.15923  -0.78      0.4358         -0.42466     0.19109   4765 
school6              0.22047     0.13557   1.63      0.1039         -0.05312     0.49925   5000 
school7              0.01391     0.11747   0.12      0.9057         -0.21128     0.24506   5000 
school8             -0.40751     0.11446  -3.56   0.0003702  ***    -0.63371    -0.18199   5000 
school9             -0.61942     0.16529  -3.75   0.0001786  ***    -0.93911    -0.29622   4799 
school10            -0.70629     0.13734  -5.14   2.706e-07  ***    -0.97614    -0.43423   5000 
school11            -0.11689     0.14193  -0.82      0.4102         -0.39734     0.15586   5000 
school12            -0.45226     0.13969  -3.24    0.001206  **     -0.72349    -0.17598   5000 
school13            -0.53425     0.12955  -4.12   3.725e-05  ***    -0.78283    -0.27958   4802 
school14            -0.56553     0.10432  -5.42   5.915e-08  ***    -0.76867    -0.35989   5000 
school15            -0.62306     0.12054  -5.17   2.353e-07  ***    -0.85031    -0.38458   5000 
school16            -0.76907     0.12358  -6.22   4.862e-10  ***    -1.01683    -0.53227   5000 
school17            -0.56996     0.11110  -5.13   2.898e-07  ***    -0.78873    -0.35469   5000 
school18            -0.43912     0.11322  -3.88   0.0001051  ***    -0.65609    -0.21582   5000 
school19            -0.48033     0.14524  -3.31   0.0009422  ***    -0.76378    -0.19227   4839 
school20            -0.11167     0.15746  -0.71      0.4782         -0.42450     0.20309   5000 
school21            -0.11323     0.12796  -0.88      0.3762         -0.36221     0.13685   4912 
school22            -0.84839     0.11804  -7.19   6.624e-13  ***    -1.07823    -0.62132   4532 
school23            -1.02078     0.16900  -6.04   1.541e-09  ***    -1.35310    -0.69083   5518 
school24            -0.20243     0.15984  -1.27      0.2054         -0.51407     0.10435   5000 
school25            -0.65219     0.13593  -4.80   1.603e-06  ***    -0.91858    -0.38347   5000 
school26            -0.41732     0.13773  -3.03    0.002445  **     -0.69391    -0.15562   5000 
school27            -0.35167     0.16693  -2.11     0.03514  *      -0.67248    -0.02402   5278 
school28            -1.15058     0.13629  -8.44   3.111e-17  ***    -1.42227    -0.89001   5000 
school29            -0.17831     0.12647  -1.41      0.1586         -0.42835     0.06649   5000 
school30            -0.26454     0.14924  -1.77     0.07629  .      -0.55834     0.02926   5000 
school31            -0.42110     0.16026  -2.63      0.0086  **     -0.72622    -0.10387   4681 
school32            -0.32350     0.15693  -2.06     0.03927  *      -0.63081    -0.01003   5000 
school33            -0.34249     0.12076  -2.84    0.004568  **     -0.58280    -0.11190   5000 
school34            -0.49188     0.17873  -2.75    0.005923  **     -0.84768    -0.13590   4633 
school35            -0.25388     0.15104  -1.68     0.09279  .      -0.55939     0.04208   5000 
school36            -0.59038     0.12710  -4.64   3.402e-06  ***    -0.83935    -0.34724   5000 
school37            -0.86927     0.21226  -4.10   4.215e-05  ***    -1.28587    -0.45619   5000 
school38            -0.53762     0.13743  -3.91   9.155e-05  ***    -0.80212    -0.27754   5000 
school39            -0.25183     0.14214  -1.77     0.07644  .      -0.53325     0.02748   5000 
school40            -0.63313     0.12551  -5.04   4.546e-07  ***    -0.87256    -0.38803   5000 
school41            -0.16816     0.13081  -1.29      0.1986         -0.42451     0.09057   5281 
school42            -0.30032     0.13435  -2.24     0.02539  *      -0.56023    -0.03373   5000 
school43            -0.55221     0.13998  -3.94   7.987e-05  ***    -0.82695    -0.27764   5302 
school44            -0.72795     0.16690  -4.36   1.291e-05  ***    -1.05648    -0.40477   5212 
school45            -0.50330     0.13843  -3.64   0.0002771  ***    -0.77450    -0.23208   4225 
school46            -0.77132     0.12093  -6.38   1.793e-10  ***    -1.00380    -0.53146   5000 
school47            -0.41330     0.12130  -3.41   0.0006564  ***    -0.64475    -0.17346   5000 
school48            -3.68837     5.32817  -0.69      0.4888        -14.11963     6.84850   5218 
school49            -0.33544     0.11323  -2.96    0.003051  **     -0.55636    -0.11335   5000 
school50            -0.70863     0.12291  -5.77   8.139e-09  ***    -0.94798    -0.46708   4861 
school51            -0.52511     0.13712  -3.83   0.0001284  ***    -0.78197    -0.25762   5000 
school52             0.00464     0.13169   0.04      0.9719         -0.25335     0.27030   5820 
school53             0.21353     0.13141   1.62      0.1042         -0.04643     0.46998   5224 
school54            -1.04554     0.38320  -2.73    0.006364  **     -1.78573    -0.28862   5000 
school55             0.16860     0.14045   1.20        0.23         -0.09525     0.45207   5000 
school56            -0.34410     0.14914  -2.31     0.02104  *      -0.63614    -0.03996   5000 
school57            -0.34234     0.13084  -2.62    0.008882  **     -0.59461    -0.08727   5697 
school58            -0.17603     0.15290  -1.15      0.2496         -0.46937     0.13334   5000 
school59            -1.23429     0.15498  -7.96   1.661e-15  ***    -1.53503    -0.92901   5000 
school60            -0.13018     0.12290  -1.06      0.2895         -0.36911     0.10737   5000 
school61            -0.42106     0.12852  -3.28    0.001052  **     -0.66691    -0.17119   5000 
school62            -0.43537     0.12516  -3.48   0.0005044  ***    -0.67947    -0.19233   5000 
school63             0.30099     0.16364   1.84     0.06587  .      -0.02332     0.61095   4434 
school64            -0.34527     0.14024  -2.46     0.01382  *      -0.61800    -0.07258   4974 
school65            -0.55862     0.12088  -4.62   3.814e-06  ***    -0.79556    -0.31851   5634 
standlrt:school2     0.05226     0.12267   0.43      0.6701         -0.19517     0.28807   4735 
standlrt:school3    -0.12948     0.14564  -0.89       0.374         -0.41738     0.15885   4282 
standlrt:school4     0.05016     0.11754   0.43      0.6696         -0.18315     0.27786   5000 
standlrt:school5    -0.02736     0.19718  -0.14      0.8897         -0.41440     0.37434   5000 
standlrt:school6    -0.17468     0.12761  -1.37       0.171         -0.41653     0.07711   5000 
standlrt:school7    -0.46607     0.12446  -3.74   0.0001805  ***    -0.71707    -0.22575   5000 
standlrt:school8    -0.14259     0.10633  -1.34      0.1799         -0.34966     0.06581   4387 
standlrt:school9    -0.30727     0.13924  -2.21     0.02733  *      -0.57804    -0.03744   5000 
standlrt:school10   -0.41294     0.16498  -2.50     0.01231  *      -0.73154    -0.09508   5000 
standlrt:school11   -0.24883     0.12726  -1.96     0.05054  .      -0.50192    -0.00755   5000 
standlrt:school12   -0.23097     0.15459  -1.49      0.1352         -0.53862     0.06827   5287 
standlrt:school13   -0.08266     0.12292  -0.67      0.5013         -0.32303     0.15919   5000 
standlrt:school14   -0.10264     0.10097  -1.02      0.3094         -0.30301     0.09606   4768 
standlrt:school15    0.02731     0.12869   0.21      0.8319         -0.22596     0.27944   5000 
standlrt:school16   -0.30086     0.12884  -2.34     0.01953  *      -0.55951    -0.04604   5030 
standlrt:school17   -0.21106     0.10317  -2.05     0.04079  *      -0.41235    -0.01114   4475 
standlrt:school18   -0.34935     0.13606  -2.57     0.01024  *      -0.62009    -0.08228   5000 
standlrt:school19    0.08373     0.17520   0.48      0.6327         -0.26263     0.43062   5000 
standlrt:school20   -0.18960     0.14532  -1.30       0.192         -0.47697     0.09308   4814 
standlrt:school21   -0.15535     0.12924  -1.20      0.2293         -0.40602     0.09962   5000 
standlrt:school22   -0.18216     0.11219  -1.62      0.1045         -0.39863     0.03815   4771 
standlrt:school23   -0.31964     0.15845  -2.02     0.04367  *      -0.62885    -0.00364   5000 
standlrt:school24   -0.31331     0.15838  -1.98     0.04791  *      -0.62482    -0.00934   5000 
standlrt:school25   -0.17697     0.11786  -1.50      0.1332         -0.41141     0.05372   5000 
standlrt:school26   -0.16377     0.12511  -1.31      0.1905         -0.40904     0.07793   4598 
standlrt:school27   -0.13750     0.14882  -0.92      0.3555         -0.43241     0.14757   5000 
standlrt:school28   -0.42468     0.14009  -3.03    0.002434  **     -0.69977    -0.15780   5000 
standlrt:school29   -0.30777     0.12403  -2.48     0.01308  *      -0.54425    -0.06700   5000 
standlrt:school30    0.09813     0.13098   0.75      0.4537         -0.15524     0.35442   5000 
standlrt:school31   -0.30210     0.17715  -1.71     0.08813  .      -0.65689     0.04046   4711 
standlrt:school32   -0.04495     0.13342  -0.34      0.7362         -0.31170     0.21727   5630 
standlrt:school33   -0.20371     0.13476  -1.51      0.1306         -0.46684     0.06263   5000 
standlrt:school34    0.02214     0.13675   0.16      0.8714         -0.24143     0.29129   4926 
standlrt:school35   -0.31009     0.17941  -1.73     0.08392  .      -0.66894     0.03555   5000 
standlrt:school36   -0.27160     0.11192  -2.43     0.01523  *      -0.49529    -0.05391   4534 
standlrt:school37   -0.47284     0.16961  -2.79    0.005306  **     -0.80965    -0.14025   5000 
standlrt:school38   -0.08749     0.12810  -0.68      0.4946         -0.33842     0.16468   5000 
standlrt:school39   -0.25462     0.12840  -1.98     0.04736  *      -0.49816    -0.00278   5000 
standlrt:school40    0.01589     0.11842   0.13      0.8933         -0.22020     0.24658   5215 
standlrt:school41   -0.22346     0.12989  -1.72     0.08537  .      -0.48211     0.02702   5000 
standlrt:school42   -0.29495     0.14374  -2.05     0.04017  *      -0.57601    -0.01537   5000 
standlrt:school43    0.02279     0.14718   0.15      0.8769         -0.26333     0.30472   5000 
standlrt:school44   -0.33957     0.15752  -2.16      0.0311  *      -0.64449    -0.03109   5273 
standlrt:school45   -0.14094     0.13705  -1.03      0.3038         -0.41090     0.12930   4856 
standlrt:school46   -0.24479     0.12353  -1.98     0.04752  *      -0.48822    -0.00520   5156 
standlrt:school47   -0.04506     0.12764  -0.35      0.7241         -0.29423     0.20342   5000 
standlrt:school48   -7.68741    12.79794  -0.60      0.5481        -32.71448    17.90470   5222 
standlrt:school49   -0.22227     0.11456  -1.94     0.05235  .      -0.44621    -0.00070   4646 
standlrt:school50   -0.03298     0.12346  -0.27      0.7894         -0.27853     0.21116   5000 
standlrt:school51   -0.36964     0.11934  -3.10    0.001952  **     -0.60903    -0.13759   5000 
standlrt:school52    0.03102     0.12579   0.25      0.8052         -0.21896     0.27835   4772 
standlrt:school53    0.36912     0.12898   2.86    0.004212  **      0.12021     0.62302   3643 
standlrt:school54   -0.65808     0.46565  -1.41      0.1576         -1.59369     0.24131   4934 
standlrt:school55   -0.08303     0.13494  -0.62      0.5383         -0.34431     0.18281   5000 
standlrt:school56    0.16623     0.15945   1.04      0.2972         -0.14419     0.47501   5000 
standlrt:school57   -0.09614     0.12963  -0.74      0.4583         -0.34438     0.16009   5000 
standlrt:school58   -0.35361     0.16785  -2.11     0.03514  *      -0.68121    -0.02570   5000 
standlrt:school59   -0.34581     0.14469  -2.39     0.01684  *      -0.63027    -0.06631   5000 
standlrt:school60   -0.07452     0.12492  -0.60      0.5508         -0.32392     0.17191   5000 
standlrt:school61   -0.07192     0.12526  -0.57      0.5659         -0.31168     0.17209   5000 
standlrt:school62   -0.16317     0.13989  -1.17      0.2435         -0.43722     0.11427   5000 
standlrt:school63   -0.37337     0.19961  -1.87     0.06142  .      -0.75748     0.02473   5000 
standlrt:school64   -0.00309     0.13196  -0.02      0.9813         -0.26321     0.25776   5000 
standlrt:school65   -0.14124     0.11689  -1.21      0.2269         -0.37096     0.08993   4708 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the student level: 
                  Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept   0.55376     0.01250      0.52986     0.57890   5000 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> ## Define the model Choose IGLS algoritm for estimation Fit the model
> (mymodel0a <- runMLwiN(normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student), data = tutorial))
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
NEXT
iteration 2
iteration 3

Convergence achieved
ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
        N min     mean max N_complete min_complete mean_complete max_complete
school 65   2 62.44615 198         65            2      62.44615          198
Estimation algorithm:  IGLS        Elapsed time : 0.08s 
Number of obs:  4059 (from total 4059)        The model converged after 4 iterations.
Log likelihood:      -4658.4 
Deviance statistic:  9316.9 
--------------------------------------------------------------------------------------------------- 
The model formula:
normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student)
Level 2: school     Level 1: student      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
               Coef.   Std. Err.       z     Pr(>|z|)         [95% Conf.   Interval] 
Intercept   -0.01151     0.03978   -0.29       0.7724           -0.08948     0.06647 
standlrt     0.55673     0.01994   27.92   1.344e-171   ***      0.51765     0.59581 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                           Coef.   Std. Err. 
var_Intercept            0.09044     0.01792 
cov_Intercept_standlrt   0.01804     0.00672 
var_standlrt             0.01454     0.00441 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the student level: 
                  Coef.   Std. Err. 
var_Intercept   0.55366     0.01248 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> ## Choose MCMC algoritm for estimation (IGLS will be used to obtain starting values for MCMC)
> (mymodel0 <- runMLwiN(normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student), estoptions = list(EstM = 1), 
+   data = tutorial))
MLwiN is running, please wait......
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
BATC 1

Batch mode is ON
NEXT
iteration 2
iteration 3

Convergence achieved
ECHO 0

Echoing is ON
MCMC   0 500 1 5.8 50 10 G30[1] G30[2]  1 1 1 1 1 1
BURNING IN...
Burning in for 50 iterations out of 500
-2 * Loglike = 9136.615416
Burning in for 100 iterations out of 500
-2 * Loglike = 9129.472590
Burning in for 150 iterations out of 500
-2 * Loglike = 9137.752388
Burning in for 200 iterations out of 500
-2 * Loglike = 9149.641457
Burning in for 250 iterations out of 500
-2 * Loglike = 9113.737768
Burning in for 300 iterations out of 500
-2 * Loglike = 9127.854908
Burning in for 350 iterations out of 500
-2 * Loglike = 9099.670195
Burning in for 400 iterations out of 500
-2 * Loglike = 9107.133017
Burning in for 450 iterations out of 500
-2 * Loglike = 9108.686421
Burning in for 500 iterations out of 500
-2 * Loglike = 9142.796685

ERAS G30
LINK 0 G30
ERAS  c1090 c1091

MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1
Actual update 50 of 5000, Stored update 50 of 5000
-2 * Loglike = 9114.789855
Actual update 100 of 5000, Stored update 100 of 5000
-2 * Loglike = 9128.936360
Actual update 150 of 5000, Stored update 150 of 5000
-2 * Loglike = 9120.626663
Actual update 200 of 5000, Stored update 200 of 5000
-2 * Loglike = 9140.221260
Actual update 250 of 5000, Stored update 250 of 5000
-2 * Loglike = 9133.366931
Actual update 300 of 5000, Stored update 300 of 5000
-2 * Loglike = 9112.633267
Actual update 350 of 5000, Stored update 350 of 5000
-2 * Loglike = 9110.267312
Actual update 400 of 5000, Stored update 400 of 5000
-2 * Loglike = 9134.271816
Actual update 450 of 5000, Stored update 450 of 5000
-2 * Loglike = 9146.903828
Actual update 500 of 5000, Stored update 500 of 5000
-2 * Loglike = 9118.578020
Actual update 550 of 5000, Stored update 550 of 5000
-2 * Loglike = 9132.630258
Actual update 600 of 5000, Stored update 600 of 5000
-2 * Loglike = 9105.115711
Actual update 650 of 5000, Stored update 650 of 5000
-2 * Loglike = 9126.654041
Actual update 700 of 5000, Stored update 700 of 5000
-2 * Loglike = 9138.820724
Actual update 750 of 5000, Stored update 750 of 5000
-2 * Loglike = 9119.239813
Actual update 800 of 5000, Stored update 800 of 5000
-2 * Loglike = 9145.879653
Actual update 850 of 5000, Stored update 850 of 5000
-2 * Loglike = 9132.483550
Actual update 900 of 5000, Stored update 900 of 5000
-2 * Loglike = 9094.657080
Actual update 950 of 5000, Stored update 950 of 5000
-2 * Loglike = 9118.502105
Actual update 1000 of 5000, Stored update 1000 of 5000
-2 * Loglike = 9094.902922
Actual update 1050 of 5000, Stored update 1050 of 5000
-2 * Loglike = 9135.645832
Actual update 1100 of 5000, Stored update 1100 of 5000
-2 * Loglike = 9128.926707
Actual update 1150 of 5000, Stored update 1150 of 5000
-2 * Loglike = 9104.509733
Actual update 1200 of 5000, Stored update 1200 of 5000
-2 * Loglike = 9108.989181
Actual update 1250 of 5000, Stored update 1250 of 5000
-2 * Loglike = 9111.759420
Actual update 1300 of 5000, Stored update 1300 of 5000
-2 * Loglike = 9103.538840
Actual update 1350 of 5000, Stored update 1350 of 5000
-2 * Loglike = 9120.142978
Actual update 1400 of 5000, Stored update 1400 of 5000
-2 * Loglike = 9117.533977
Actual update 1450 of 5000, Stored update 1450 of 5000
-2 * Loglike = 9114.717113
Actual update 1500 of 5000, Stored update 1500 of 5000
-2 * Loglike = 9118.929584
Actual update 1550 of 5000, Stored update 1550 of 5000
-2 * Loglike = 9146.845851
Actual update 1600 of 5000, Stored update 1600 of 5000
-2 * Loglike = 9126.654978
Actual update 1650 of 5000, Stored update 1650 of 5000
-2 * Loglike = 9127.854549
Actual update 1700 of 5000, Stored update 1700 of 5000
-2 * Loglike = 9114.945398
Actual update 1750 of 5000, Stored update 1750 of 5000
-2 * Loglike = 9156.130168
Actual update 1800 of 5000, Stored update 1800 of 5000
-2 * Loglike = 9134.732656
Actual update 1850 of 5000, Stored update 1850 of 5000
-2 * Loglike = 9142.867734
Actual update 1900 of 5000, Stored update 1900 of 5000
-2 * Loglike = 9137.471434
Actual update 1950 of 5000, Stored update 1950 of 5000
-2 * Loglike = 9127.702153
Actual update 2000 of 5000, Stored update 2000 of 5000
-2 * Loglike = 9133.939751
Actual update 2050 of 5000, Stored update 2050 of 5000
-2 * Loglike = 9107.640871
Actual update 2100 of 5000, Stored update 2100 of 5000
-2 * Loglike = 9137.519015
Actual update 2150 of 5000, Stored update 2150 of 5000
-2 * Loglike = 9147.472132
Actual update 2200 of 5000, Stored update 2200 of 5000
-2 * Loglike = 9104.767457
Actual update 2250 of 5000, Stored update 2250 of 5000
-2 * Loglike = 9118.396071
Actual update 2300 of 5000, Stored update 2300 of 5000
-2 * Loglike = 9143.494727
Actual update 2350 of 5000, Stored update 2350 of 5000
-2 * Loglike = 9130.468641
Actual update 2400 of 5000, Stored update 2400 of 5000
-2 * Loglike = 9137.527730
Actual update 2450 of 5000, Stored update 2450 of 5000
-2 * Loglike = 9106.747459
Actual update 2500 of 5000, Stored update 2500 of 5000
-2 * Loglike = 9154.348069
Actual update 2550 of 5000, Stored update 2550 of 5000
-2 * Loglike = 9142.340919
Actual update 2600 of 5000, Stored update 2600 of 5000
-2 * Loglike = 9100.831693
Actual update 2650 of 5000, Stored update 2650 of 5000
-2 * Loglike = 9131.653716
Actual update 2700 of 5000, Stored update 2700 of 5000
-2 * Loglike = 9151.916582
Actual update 2750 of 5000, Stored update 2750 of 5000
-2 * Loglike = 9165.855130
Actual update 2800 of 5000, Stored update 2800 of 5000
-2 * Loglike = 9125.508254
Actual update 2850 of 5000, Stored update 2850 of 5000
-2 * Loglike = 9146.519009
Actual update 2900 of 5000, Stored update 2900 of 5000
-2 * Loglike = 9122.524343
Actual update 2950 of 5000, Stored update 2950 of 5000
-2 * Loglike = 9128.808395
Actual update 3000 of 5000, Stored update 3000 of 5000
-2 * Loglike = 9125.880481
Actual update 3050 of 5000, Stored update 3050 of 5000
-2 * Loglike = 9130.006670
Actual update 3100 of 5000, Stored update 3100 of 5000
-2 * Loglike = 9116.446060
Actual update 3150 of 5000, Stored update 3150 of 5000
-2 * Loglike = 9105.444348
Actual update 3200 of 5000, Stored update 3200 of 5000
-2 * Loglike = 9141.749060
Actual update 3250 of 5000, Stored update 3250 of 5000
-2 * Loglike = 9122.819747
Actual update 3300 of 5000, Stored update 3300 of 5000
-2 * Loglike = 9140.592905
Actual update 3350 of 5000, Stored update 3350 of 5000
-2 * Loglike = 9119.521430
Actual update 3400 of 5000, Stored update 3400 of 5000
-2 * Loglike = 9137.983211
Actual update 3450 of 5000, Stored update 3450 of 5000
-2 * Loglike = 9128.855413
Actual update 3500 of 5000, Stored update 3500 of 5000
-2 * Loglike = 9130.638160
Actual update 3550 of 5000, Stored update 3550 of 5000
-2 * Loglike = 9119.619021
Actual update 3600 of 5000, Stored update 3600 of 5000
-2 * Loglike = 9124.980114
Actual update 3650 of 5000, Stored update 3650 of 5000
-2 * Loglike = 9135.552922
Actual update 3700 of 5000, Stored update 3700 of 5000
-2 * Loglike = 9127.477138
Actual update 3750 of 5000, Stored update 3750 of 5000
-2 * Loglike = 9114.227379
Actual update 3800 of 5000, Stored update 3800 of 5000
-2 * Loglike = 9110.953194
Actual update 3850 of 5000, Stored update 3850 of 5000
-2 * Loglike = 9118.839082
Actual update 3900 of 5000, Stored update 3900 of 5000
-2 * Loglike = 9118.763419
Actual update 3950 of 5000, Stored update 3950 of 5000
-2 * Loglike = 9117.590737
Actual update 4000 of 5000, Stored update 4000 of 5000
-2 * Loglike = 9106.053640
Actual update 4050 of 5000, Stored update 4050 of 5000
-2 * Loglike = 9112.274103
Actual update 4100 of 5000, Stored update 4100 of 5000
-2 * Loglike = 9115.311806
Actual update 4150 of 5000, Stored update 4150 of 5000
-2 * Loglike = 9122.276612
Actual update 4200 of 5000, Stored update 4200 of 5000
-2 * Loglike = 9120.226668
Actual update 4250 of 5000, Stored update 4250 of 5000
-2 * Loglike = 9140.403968
Actual update 4300 of 5000, Stored update 4300 of 5000
-2 * Loglike = 9153.535294
Actual update 4350 of 5000, Stored update 4350 of 5000
-2 * Loglike = 9117.253885
Actual update 4400 of 5000, Stored update 4400 of 5000
-2 * Loglike = 9116.415887
Actual update 4450 of 5000, Stored update 4450 of 5000
-2 * Loglike = 9136.007855
Actual update 4500 of 5000, Stored update 4500 of 5000
-2 * Loglike = 9119.650550
Actual update 4550 of 5000, Stored update 4550 of 5000
-2 * Loglike = 9108.406619
Actual update 4600 of 5000, Stored update 4600 of 5000
-2 * Loglike = 9104.027872
Actual update 4650 of 5000, Stored update 4650 of 5000
-2 * Loglike = 9104.517145
Actual update 4700 of 5000, Stored update 4700 of 5000
-2 * Loglike = 9102.506754
Actual update 4750 of 5000, Stored update 4750 of 5000
-2 * Loglike = 9125.791725
Actual update 4800 of 5000, Stored update 4800 of 5000
-2 * Loglike = 9121.949129
Actual update 4850 of 5000, Stored update 4850 of 5000
-2 * Loglike = 9123.201133
Actual update 4900 of 5000, Stored update 4900 of 5000
-2 * Loglike = 9116.574595
Actual update 4950 of 5000, Stored update 4950 of 5000
-2 * Loglike = 9120.080554
Actual update 5000 of 5000, Stored update 5000 of 5000
-2 * Loglike = 9120.628553
PUPN c1003 c1004
AVER c1091 b99 b100

Count   =           5000
Average =          9123.2
S.D.    =          16.792
S.E.M.  =         0.23747

ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
        N min     mean max N_complete min_complete mean_complete max_complete
school 65   2 62.44615 198         65            2      62.44615          198
Estimation algorithm:  MCMC      Elapsed time : 2.19s 
Number of obs:  4059 (from total 4059)          Number of iter.: 5000  Chains: 1  Burn-in: 500 
Bayesian Deviance Information Criterion (DIC)
Dbar      D(thetabar)    pD      DIC
9123.206   9031.714   91.492     9214.698   
--------------------------------------------------------------------------------------------------- 
The model formula:
normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student)
Level 2: school     Level 1: student      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
               Coef.   Std. Err.      z     Pr(>|z|)       [95% Cred.   Interval]   ESS 
Intercept   -0.01257     0.04089  -0.31       0.7585         -0.09055     0.06865   209 
standlrt     0.55645     0.02084  26.70   4.362e-157  ***     0.51501     0.59701   596 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                           Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept            0.09711     0.02001      0.06465     0.14261   2549 
cov_Intercept_standlrt   0.01933     0.00739      0.00660     0.03537   1740 
var_standlrt             0.01526     0.00485      0.00772     0.02662    846 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the student level: 
                  Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept   0.55440     0.01242      0.53052     0.57904   4750 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> # 6.1 Prediction intervals for a random slopes regression model . . . . . 75
> 
> ## Save level 2 residual chains
> (mymodel <- runMLwiN(normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student), estoptions = list(EstM = 1, 
+   mcmcMeth = list(iterations = 5001), resi.store.levs = 2), data = tutorial))
MLwiN is running, please wait......
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
BATC 1

Batch mode is ON
NEXT
iteration 2
iteration 3

Convergence achieved
ECHO 0

Echoing is ON
MCMC   0 500 1 5.8 50 10 G30[1] G30[2]  1 1 1 1 1 1
BURNING IN...
Burning in for 50 iterations out of 500
-2 * Loglike = 9136.615416
Burning in for 100 iterations out of 500
-2 * Loglike = 9129.472590
Burning in for 150 iterations out of 500
-2 * Loglike = 9137.752388
Burning in for 200 iterations out of 500
-2 * Loglike = 9149.641457
Burning in for 250 iterations out of 500
-2 * Loglike = 9113.737768
Burning in for 300 iterations out of 500
-2 * Loglike = 9127.854908
Burning in for 350 iterations out of 500
-2 * Loglike = 9099.670195
Burning in for 400 iterations out of 500
-2 * Loglike = 9107.133017
Burning in for 450 iterations out of 500
-2 * Loglike = 9108.686421
Burning in for 500 iterations out of 500
-2 * Loglike = 9142.796685

ERAS G30
LINK 0 G30
ERAS  c1090 c1091

MCMC 1 5001 1 c1090 c1091 c1003 c1004 1 1
Actual update 50 of 5001, Stored update 50 of 5001
-2 * Loglike = 9114.789855
Actual update 100 of 5001, Stored update 100 of 5001
-2 * Loglike = 9128.936360
Actual update 150 of 5001, Stored update 150 of 5001
-2 * Loglike = 9120.626663
Actual update 200 of 5001, Stored update 200 of 5001
-2 * Loglike = 9140.221260
Actual update 250 of 5001, Stored update 250 of 5001
-2 * Loglike = 9133.366931
Actual update 300 of 5001, Stored update 300 of 5001
-2 * Loglike = 9112.633267
Actual update 350 of 5001, Stored update 350 of 5001
-2 * Loglike = 9110.267312
Actual update 400 of 5001, Stored update 400 of 5001
-2 * Loglike = 9134.271816
Actual update 450 of 5001, Stored update 450 of 5001
-2 * Loglike = 9146.903828
Actual update 500 of 5001, Stored update 500 of 5001
-2 * Loglike = 9118.578020
Actual update 550 of 5001, Stored update 550 of 5001
-2 * Loglike = 9132.630258
Actual update 600 of 5001, Stored update 600 of 5001
-2 * Loglike = 9105.115711
Actual update 650 of 5001, Stored update 650 of 5001
-2 * Loglike = 9126.654041
Actual update 700 of 5001, Stored update 700 of 5001
-2 * Loglike = 9138.820724
Actual update 750 of 5001, Stored update 750 of 5001
-2 * Loglike = 9119.239813
Actual update 800 of 5001, Stored update 800 of 5001
-2 * Loglike = 9145.879653
Actual update 850 of 5001, Stored update 850 of 5001
-2 * Loglike = 9132.483550
Actual update 900 of 5001, Stored update 900 of 5001
-2 * Loglike = 9094.657080
Actual update 950 of 5001, Stored update 950 of 5001
-2 * Loglike = 9118.502105
Actual update 1000 of 5001, Stored update 1000 of 5001
-2 * Loglike = 9094.902922
Actual update 1050 of 5001, Stored update 1050 of 5001
-2 * Loglike = 9135.645832
Actual update 1100 of 5001, Stored update 1100 of 5001
-2 * Loglike = 9128.926707
Actual update 1150 of 5001, Stored update 1150 of 5001
-2 * Loglike = 9104.509733
Actual update 1200 of 5001, Stored update 1200 of 5001
-2 * Loglike = 9108.989181
Actual update 1250 of 5001, Stored update 1250 of 5001
-2 * Loglike = 9111.759420
Actual update 1300 of 5001, Stored update 1300 of 5001
-2 * Loglike = 9103.538840
Actual update 1350 of 5001, Stored update 1350 of 5001
-2 * Loglike = 9120.142978
Actual update 1400 of 5001, Stored update 1400 of 5001
-2 * Loglike = 9117.533977
Actual update 1450 of 5001, Stored update 1450 of 5001
-2 * Loglike = 9114.717113
Actual update 1500 of 5001, Stored update 1500 of 5001
-2 * Loglike = 9118.929584
Actual update 1550 of 5001, Stored update 1550 of 5001
-2 * Loglike = 9146.845851
Actual update 1600 of 5001, Stored update 1600 of 5001
-2 * Loglike = 9126.654978
Actual update 1650 of 5001, Stored update 1650 of 5001
-2 * Loglike = 9127.854549
Actual update 1700 of 5001, Stored update 1700 of 5001
-2 * Loglike = 9114.945398
Actual update 1750 of 5001, Stored update 1750 of 5001
-2 * Loglike = 9156.130168
Actual update 1800 of 5001, Stored update 1800 of 5001
-2 * Loglike = 9134.732656
Actual update 1850 of 5001, Stored update 1850 of 5001
-2 * Loglike = 9142.867734
Actual update 1900 of 5001, Stored update 1900 of 5001
-2 * Loglike = 9137.471434
Actual update 1950 of 5001, Stored update 1950 of 5001
-2 * Loglike = 9127.702153
Actual update 2000 of 5001, Stored update 2000 of 5001
-2 * Loglike = 9133.939751
Actual update 2050 of 5001, Stored update 2050 of 5001
-2 * Loglike = 9107.640871
Actual update 2100 of 5001, Stored update 2100 of 5001
-2 * Loglike = 9137.519015
Actual update 2150 of 5001, Stored update 2150 of 5001
-2 * Loglike = 9147.472132
Actual update 2200 of 5001, Stored update 2200 of 5001
-2 * Loglike = 9104.767457
Actual update 2250 of 5001, Stored update 2250 of 5001
-2 * Loglike = 9118.396071
Actual update 2300 of 5001, Stored update 2300 of 5001
-2 * Loglike = 9143.494727
Actual update 2350 of 5001, Stored update 2350 of 5001
-2 * Loglike = 9130.468641
Actual update 2400 of 5001, Stored update 2400 of 5001
-2 * Loglike = 9137.527730
Actual update 2450 of 5001, Stored update 2450 of 5001
-2 * Loglike = 9106.747459
Actual update 2500 of 5001, Stored update 2500 of 5001
-2 * Loglike = 9154.348069
Actual update 2550 of 5001, Stored update 2550 of 5001
-2 * Loglike = 9142.340919
Actual update 2600 of 5001, Stored update 2600 of 5001
-2 * Loglike = 9100.831693
Actual update 2650 of 5001, Stored update 2650 of 5001
-2 * Loglike = 9131.653716
Actual update 2700 of 5001, Stored update 2700 of 5001
-2 * Loglike = 9151.916582
Actual update 2750 of 5001, Stored update 2750 of 5001
-2 * Loglike = 9165.855130
Actual update 2800 of 5001, Stored update 2800 of 5001
-2 * Loglike = 9125.508254
Actual update 2850 of 5001, Stored update 2850 of 5001
-2 * Loglike = 9146.519009
Actual update 2900 of 5001, Stored update 2900 of 5001
-2 * Loglike = 9122.524343
Actual update 2950 of 5001, Stored update 2950 of 5001
-2 * Loglike = 9128.808395
Actual update 3000 of 5001, Stored update 3000 of 5001
-2 * Loglike = 9125.880481
Actual update 3050 of 5001, Stored update 3050 of 5001
-2 * Loglike = 9130.006670
Actual update 3100 of 5001, Stored update 3100 of 5001
-2 * Loglike = 9116.446060
Actual update 3150 of 5001, Stored update 3150 of 5001
-2 * Loglike = 9105.444348
Actual update 3200 of 5001, Stored update 3200 of 5001
-2 * Loglike = 9141.749060
Actual update 3250 of 5001, Stored update 3250 of 5001
-2 * Loglike = 9122.819747
Actual update 3300 of 5001, Stored update 3300 of 5001
-2 * Loglike = 9140.592905
Actual update 3350 of 5001, Stored update 3350 of 5001
-2 * Loglike = 9119.521430
Actual update 3400 of 5001, Stored update 3400 of 5001
-2 * Loglike = 9137.983211
Actual update 3450 of 5001, Stored update 3450 of 5001
-2 * Loglike = 9128.855413
Actual update 3500 of 5001, Stored update 3500 of 5001
-2 * Loglike = 9130.638160
Actual update 3550 of 5001, Stored update 3550 of 5001
-2 * Loglike = 9119.619021
Actual update 3600 of 5001, Stored update 3600 of 5001
-2 * Loglike = 9124.980114
Actual update 3650 of 5001, Stored update 3650 of 5001
-2 * Loglike = 9135.552922
Actual update 3700 of 5001, Stored update 3700 of 5001
-2 * Loglike = 9127.477138
Actual update 3750 of 5001, Stored update 3750 of 5001
-2 * Loglike = 9114.227379
Actual update 3800 of 5001, Stored update 3800 of 5001
-2 * Loglike = 9110.953194
Actual update 3850 of 5001, Stored update 3850 of 5001
-2 * Loglike = 9118.839082
Actual update 3900 of 5001, Stored update 3900 of 5001
-2 * Loglike = 9118.763419
Actual update 3950 of 5001, Stored update 3950 of 5001
-2 * Loglike = 9117.590737
Actual update 4000 of 5001, Stored update 4000 of 5001
-2 * Loglike = 9106.053640
Actual update 4050 of 5001, Stored update 4050 of 5001
-2 * Loglike = 9112.274103
Actual update 4100 of 5001, Stored update 4100 of 5001
-2 * Loglike = 9115.311806
Actual update 4150 of 5001, Stored update 4150 of 5001
-2 * Loglike = 9122.276612
Actual update 4200 of 5001, Stored update 4200 of 5001
-2 * Loglike = 9120.226668
Actual update 4250 of 5001, Stored update 4250 of 5001
-2 * Loglike = 9140.403968
Actual update 4300 of 5001, Stored update 4300 of 5001
-2 * Loglike = 9153.535294
Actual update 4350 of 5001, Stored update 4350 of 5001
-2 * Loglike = 9117.253885
Actual update 4400 of 5001, Stored update 4400 of 5001
-2 * Loglike = 9116.415887
Actual update 4450 of 5001, Stored update 4450 of 5001
-2 * Loglike = 9136.007855
Actual update 4500 of 5001, Stored update 4500 of 5001
-2 * Loglike = 9119.650550
Actual update 4550 of 5001, Stored update 4550 of 5001
-2 * Loglike = 9108.406619
Actual update 4600 of 5001, Stored update 4600 of 5001
-2 * Loglike = 9104.027872
Actual update 4650 of 5001, Stored update 4650 of 5001
-2 * Loglike = 9104.517145
Actual update 4700 of 5001, Stored update 4700 of 5001
-2 * Loglike = 9102.506754
Actual update 4750 of 5001, Stored update 4750 of 5001
-2 * Loglike = 9125.791725
Actual update 4800 of 5001, Stored update 4800 of 5001
-2 * Loglike = 9121.949129
Actual update 4850 of 5001, Stored update 4850 of 5001
-2 * Loglike = 9123.201133
Actual update 4900 of 5001, Stored update 4900 of 5001
-2 * Loglike = 9116.574595
Actual update 4950 of 5001, Stored update 4950 of 5001
-2 * Loglike = 9120.080554
Actual update 5000 of 5001, Stored update 5000 of 5001
-2 * Loglike = 9120.628553
PUPN c1003 c1004
AVER c1091 b99 b100

Count   =           5001
Average =          9123.2
S.D.    =          16.791
S.E.M.  =         0.23743

ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
        N min     mean max N_complete min_complete mean_complete max_complete
school 65   2 62.44615 198         65            2      62.44615          198
Estimation algorithm:  MCMC      Elapsed time : 2.25s 
Number of obs:  4059 (from total 4059)          Number of iter.: 5001  Chains: 1  Burn-in: 500 
Bayesian Deviance Information Criterion (DIC)
Dbar      D(thetabar)    pD      DIC
9123.209   9031.714   91.495     9214.704   
--------------------------------------------------------------------------------------------------- 
The model formula:
normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student)
Level 2: school     Level 1: student      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
               Coef.   Std. Err.      z     Pr(>|z|)       [95% Cred.   Interval]   ESS 
Intercept   -0.01256     0.04088  -0.31       0.7586         -0.09054     0.06864   210 
standlrt     0.55645     0.02084  26.70   5.159e-157  ***     0.51501     0.59701   597 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                           Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept            0.09711     0.02001      0.06465     0.14261   2549 
cov_Intercept_standlrt   0.01933     0.00739      0.00660     0.03537   1740 
var_standlrt             0.01526     0.00485      0.00772     0.02662    847 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the student level: 
                  Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept   0.55440     0.01242      0.53053     0.57904   4750 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> predLines(mymodel, xname = "standlrt", lev = 2, selected = NULL, probs = c(0.025, 0.975), legend.space = "right", 
+   legend.ncol = 2)
> dev.new()
dev.new(): using pdf(file="Rplots1.pdf")
> predLines(mymodel, xname = "standlrt", lev = 2, selected = c(30, 44, 53, 59), probs = c(0.025, 0.975))
> 
> # 6.2 Alternative priors for variance matrices . . . . . . . . . . . . . .78
> 
> # 6.3 WinBUGS priors (Prior 2) . . . . . . . . . . . . . . . . . . . . . .78
> 
> ## Change the starting values for Level 2 variance matrix to .1 on diagonal 0 otherwise.
> RP.b <- c(0.1, 0, 0.1, 0.554)
> names(RP.b) <- c("RP2_var_Intercept", "RP2_cov_Intercept_standlrt", "RP2_var_standlrt", "RP1_var_Intercept")
> 
> ## Fit the model
> (mymodel1 <- runMLwiN(normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student), estoptions = list(EstM = 1, 
+   startval = list(RP.b = RP.b)), data = tutorial))
MLwiN is running, please wait......
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
JOIN 0.1 0 0.1 0.554 '_RP_b'
ECHO 0

Echoing is ON
MCMC   0 500 1 5.8 50 10 G30[1] G30[2]  1 1 1 1 1 1
BURNING IN...
Burning in for 50 iterations out of 500
-2 * Loglike = 9100.597867
Burning in for 100 iterations out of 500
-2 * Loglike = 9114.859458
Burning in for 150 iterations out of 500
-2 * Loglike = 9131.060396
Burning in for 200 iterations out of 500
-2 * Loglike = 9139.251421
Burning in for 250 iterations out of 500
-2 * Loglike = 9103.324707
Burning in for 300 iterations out of 500
-2 * Loglike = 9111.514369
Burning in for 350 iterations out of 500
-2 * Loglike = 9095.770644
Burning in for 400 iterations out of 500
-2 * Loglike = 9098.416226
Burning in for 450 iterations out of 500
-2 * Loglike = 9104.599695
Burning in for 500 iterations out of 500
-2 * Loglike = 9136.912799

ERAS G30
LINK 0 G30
ERAS  c1090 c1091

MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1
Actual update 50 of 5000, Stored update 50 of 5000
-2 * Loglike = 9108.783409
Actual update 100 of 5000, Stored update 100 of 5000
-2 * Loglike = 9117.677290
Actual update 150 of 5000, Stored update 150 of 5000
-2 * Loglike = 9110.662119
Actual update 200 of 5000, Stored update 200 of 5000
-2 * Loglike = 9118.702238
Actual update 250 of 5000, Stored update 250 of 5000
-2 * Loglike = 9129.997741
Actual update 300 of 5000, Stored update 300 of 5000
-2 * Loglike = 9105.572549
Actual update 350 of 5000, Stored update 350 of 5000
-2 * Loglike = 9101.071629
Actual update 400 of 5000, Stored update 400 of 5000
-2 * Loglike = 9123.680481
Actual update 450 of 5000, Stored update 450 of 5000
-2 * Loglike = 9138.690457
Actual update 500 of 5000, Stored update 500 of 5000
-2 * Loglike = 9112.370849
Actual update 550 of 5000, Stored update 550 of 5000
-2 * Loglike = 9119.786772
Actual update 600 of 5000, Stored update 600 of 5000
-2 * Loglike = 9095.188890
Actual update 650 of 5000, Stored update 650 of 5000
-2 * Loglike = 9113.284402
Actual update 700 of 5000, Stored update 700 of 5000
-2 * Loglike = 9124.930549
Actual update 750 of 5000, Stored update 750 of 5000
-2 * Loglike = 9116.363410
Actual update 800 of 5000, Stored update 800 of 5000
-2 * Loglike = 9121.332262
Actual update 850 of 5000, Stored update 850 of 5000
-2 * Loglike = 9124.130784
Actual update 900 of 5000, Stored update 900 of 5000
-2 * Loglike = 9094.416030
Actual update 950 of 5000, Stored update 950 of 5000
-2 * Loglike = 9107.261022
Actual update 1000 of 5000, Stored update 1000 of 5000
-2 * Loglike = 9088.937646
Actual update 1050 of 5000, Stored update 1050 of 5000
-2 * Loglike = 9117.450175
Actual update 1100 of 5000, Stored update 1100 of 5000
-2 * Loglike = 9119.190132
Actual update 1150 of 5000, Stored update 1150 of 5000
-2 * Loglike = 9098.201233
Actual update 1200 of 5000, Stored update 1200 of 5000
-2 * Loglike = 9096.094239
Actual update 1250 of 5000, Stored update 1250 of 5000
-2 * Loglike = 9106.264247
Actual update 1300 of 5000, Stored update 1300 of 5000
-2 * Loglike = 9101.696788
Actual update 1350 of 5000, Stored update 1350 of 5000
-2 * Loglike = 9113.184011
Actual update 1400 of 5000, Stored update 1400 of 5000
-2 * Loglike = 9106.601132
Actual update 1450 of 5000, Stored update 1450 of 5000
-2 * Loglike = 9112.889403
Actual update 1500 of 5000, Stored update 1500 of 5000
-2 * Loglike = 9114.845772
Actual update 1550 of 5000, Stored update 1550 of 5000
-2 * Loglike = 9144.617915
Actual update 1600 of 5000, Stored update 1600 of 5000
-2 * Loglike = 9109.667293
Actual update 1650 of 5000, Stored update 1650 of 5000
-2 * Loglike = 9121.148947
Actual update 1700 of 5000, Stored update 1700 of 5000
-2 * Loglike = 9107.170897
Actual update 1750 of 5000, Stored update 1750 of 5000
-2 * Loglike = 9141.810247
Actual update 1800 of 5000, Stored update 1800 of 5000
-2 * Loglike = 9126.947055
Actual update 1850 of 5000, Stored update 1850 of 5000
-2 * Loglike = 9131.819346
Actual update 1900 of 5000, Stored update 1900 of 5000
-2 * Loglike = 9129.540429
Actual update 1950 of 5000, Stored update 1950 of 5000
-2 * Loglike = 9118.420232
Actual update 2000 of 5000, Stored update 2000 of 5000
-2 * Loglike = 9117.427898
Actual update 2050 of 5000, Stored update 2050 of 5000
-2 * Loglike = 9101.300438
Actual update 2100 of 5000, Stored update 2100 of 5000
-2 * Loglike = 9138.064959
Actual update 2150 of 5000, Stored update 2150 of 5000
-2 * Loglike = 9133.628313
Actual update 2200 of 5000, Stored update 2200 of 5000
-2 * Loglike = 9100.786852
Actual update 2250 of 5000, Stored update 2250 of 5000
-2 * Loglike = 9116.828274
Actual update 2300 of 5000, Stored update 2300 of 5000
-2 * Loglike = 9127.704594
Actual update 2350 of 5000, Stored update 2350 of 5000
-2 * Loglike = 9122.857630
Actual update 2400 of 5000, Stored update 2400 of 5000
-2 * Loglike = 9124.178782
Actual update 2450 of 5000, Stored update 2450 of 5000
-2 * Loglike = 9101.451288
Actual update 2500 of 5000, Stored update 2500 of 5000
-2 * Loglike = 9146.468731
Actual update 2550 of 5000, Stored update 2550 of 5000
-2 * Loglike = 9128.020840
Actual update 2600 of 5000, Stored update 2600 of 5000
-2 * Loglike = 9097.882656
Actual update 2650 of 5000, Stored update 2650 of 5000
-2 * Loglike = 9108.402604
Actual update 2700 of 5000, Stored update 2700 of 5000
-2 * Loglike = 9137.233359
Actual update 2750 of 5000, Stored update 2750 of 5000
-2 * Loglike = 9158.027340
Actual update 2800 of 5000, Stored update 2800 of 5000
-2 * Loglike = 9111.587321
Actual update 2850 of 5000, Stored update 2850 of 5000
-2 * Loglike = 9131.869404
Actual update 2900 of 5000, Stored update 2900 of 5000
-2 * Loglike = 9123.846017
Actual update 2950 of 5000, Stored update 2950 of 5000
-2 * Loglike = 9126.986281
Actual update 3000 of 5000, Stored update 3000 of 5000
-2 * Loglike = 9123.588155
Actual update 3050 of 5000, Stored update 3050 of 5000
-2 * Loglike = 9119.549677
Actual update 3100 of 5000, Stored update 3100 of 5000
-2 * Loglike = 9110.668430
Actual update 3150 of 5000, Stored update 3150 of 5000
-2 * Loglike = 9100.801380
Actual update 3200 of 5000, Stored update 3200 of 5000
-2 * Loglike = 9120.272246
Actual update 3250 of 5000, Stored update 3250 of 5000
-2 * Loglike = 9118.804743
Actual update 3300 of 5000, Stored update 3300 of 5000
-2 * Loglike = 9131.912345
Actual update 3350 of 5000, Stored update 3350 of 5000
-2 * Loglike = 9108.860416
Actual update 3400 of 5000, Stored update 3400 of 5000
-2 * Loglike = 9134.331512
Actual update 3450 of 5000, Stored update 3450 of 5000
-2 * Loglike = 9118.443349
Actual update 3500 of 5000, Stored update 3500 of 5000
-2 * Loglike = 9126.297678
Actual update 3550 of 5000, Stored update 3550 of 5000
-2 * Loglike = 9113.868091
Actual update 3600 of 5000, Stored update 3600 of 5000
-2 * Loglike = 9119.473195
Actual update 3650 of 5000, Stored update 3650 of 5000
-2 * Loglike = 9136.180979
Actual update 3700 of 5000, Stored update 3700 of 5000
-2 * Loglike = 9109.025668
Actual update 3750 of 5000, Stored update 3750 of 5000
-2 * Loglike = 9106.066952
Actual update 3800 of 5000, Stored update 3800 of 5000
-2 * Loglike = 9106.553866
Actual update 3850 of 5000, Stored update 3850 of 5000
-2 * Loglike = 9107.832145
Actual update 3900 of 5000, Stored update 3900 of 5000
-2 * Loglike = 9104.237202
Actual update 3950 of 5000, Stored update 3950 of 5000
-2 * Loglike = 9101.244536
Actual update 4000 of 5000, Stored update 4000 of 5000
-2 * Loglike = 9099.538602
Actual update 4050 of 5000, Stored update 4050 of 5000
-2 * Loglike = 9103.409078
Actual update 4100 of 5000, Stored update 4100 of 5000
-2 * Loglike = 9109.325336
Actual update 4150 of 5000, Stored update 4150 of 5000
-2 * Loglike = 9119.525742
Actual update 4200 of 5000, Stored update 4200 of 5000
-2 * Loglike = 9092.642044
Actual update 4250 of 5000, Stored update 4250 of 5000
-2 * Loglike = 9131.730154
Actual update 4300 of 5000, Stored update 4300 of 5000
-2 * Loglike = 9141.444076
Actual update 4350 of 5000, Stored update 4350 of 5000
-2 * Loglike = 9117.231273
Actual update 4400 of 5000, Stored update 4400 of 5000
-2 * Loglike = 9105.794832
Actual update 4450 of 5000, Stored update 4450 of 5000
-2 * Loglike = 9120.185690
Actual update 4500 of 5000, Stored update 4500 of 5000
-2 * Loglike = 9111.448137
Actual update 4550 of 5000, Stored update 4550 of 5000
-2 * Loglike = 9095.347747
Actual update 4600 of 5000, Stored update 4600 of 5000
-2 * Loglike = 9097.124331
Actual update 4650 of 5000, Stored update 4650 of 5000
-2 * Loglike = 9098.910699
Actual update 4700 of 5000, Stored update 4700 of 5000
-2 * Loglike = 9100.766044
Actual update 4750 of 5000, Stored update 4750 of 5000
-2 * Loglike = 9116.543186
Actual update 4800 of 5000, Stored update 4800 of 5000
-2 * Loglike = 9110.396105
Actual update 4850 of 5000, Stored update 4850 of 5000
-2 * Loglike = 9114.922001
Actual update 4900 of 5000, Stored update 4900 of 5000
-2 * Loglike = 9111.816747
Actual update 4950 of 5000, Stored update 4950 of 5000
-2 * Loglike = 9116.523506
Actual update 5000 of 5000, Stored update 5000 of 5000
-2 * Loglike = 9110.674661
PUPN c1003 c1004
AVER c1091 b99 b100

Count   =           5000
Average =          9115.1
S.D.    =          15.607
S.E.M.  =         0.22071

ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
        N min     mean max N_complete min_complete mean_complete max_complete
school 65   2 62.44615 198         65            2      62.44615          198
Estimation algorithm:  MCMC      Elapsed time : 2.15s 
Number of obs:  4059 (from total 4059)          Number of iter.: 5000  Chains: 1  Burn-in: 500 
Bayesian Deviance Information Criterion (DIC)
Dbar      D(thetabar)    pD      DIC
9115.072   9016.075   98.997     9214.068   
--------------------------------------------------------------------------------------------------- 
The model formula:
normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student)
Level 2: school     Level 1: student      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
               Coef.   Std. Err.      z     Pr(>|z|)       [95% Cred.   Interval]   ESS 
Intercept   -0.01347     0.04086  -0.33       0.7416         -0.09129     0.06713   209 
standlrt     0.55467     0.02375  23.36   1.223e-120  ***     0.50713     0.60061   548 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                           Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept            0.09750     0.02008      0.06496     0.14273   2584 
cov_Intercept_standlrt   0.01791     0.00818      0.00349     0.03540   2161 
var_standlrt             0.02269     0.00581      0.01336     0.03613   1749 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the student level: 
                  Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept   0.55329     0.01237      0.52920     0.57779   4785 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> # 6.4 Uniform prior . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
> 
> ## Diffuse priors (Uniform priors)
> (mymodel2 <- runMLwiN(normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student), estoptions = list(EstM = 1, 
+   mcmcMeth = list(priorcode = 0)), data = tutorial))
MLwiN is running, please wait......
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
BATC 1

Batch mode is ON
NEXT
iteration 2
iteration 3

Convergence achieved
ECHO 0

Echoing is ON
MCMC   0 500 1 5.8 50 10 G30[1] G30[2]  1 1 1 1 0 1
BURNING IN...
Burning in for 50 iterations out of 500
-2 * Loglike = 9135.903908
Burning in for 100 iterations out of 500
-2 * Loglike = 9104.652611
Burning in for 150 iterations out of 500
-2 * Loglike = 9125.882163
Burning in for 200 iterations out of 500
-2 * Loglike = 9123.153698
Burning in for 250 iterations out of 500
-2 * Loglike = 9104.706169
Burning in for 300 iterations out of 500
-2 * Loglike = 9122.541224
Burning in for 350 iterations out of 500
-2 * Loglike = 9097.078493
Burning in for 400 iterations out of 500
-2 * Loglike = 9103.644340
Burning in for 450 iterations out of 500
-2 * Loglike = 9114.741152
Burning in for 500 iterations out of 500
-2 * Loglike = 9139.496241

ERAS G30
LINK 0 G30
ERAS  c1090 c1091

MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1
Actual update 50 of 5000, Stored update 50 of 5000
-2 * Loglike = 9115.081465
Actual update 100 of 5000, Stored update 100 of 5000
-2 * Loglike = 9125.307254
Actual update 150 of 5000, Stored update 150 of 5000
-2 * Loglike = 9116.740999
Actual update 200 of 5000, Stored update 200 of 5000
-2 * Loglike = 9134.760861
Actual update 250 of 5000, Stored update 250 of 5000
-2 * Loglike = 9121.194725
Actual update 300 of 5000, Stored update 300 of 5000
-2 * Loglike = 9108.974087
Actual update 350 of 5000, Stored update 350 of 5000
-2 * Loglike = 9105.654024
Actual update 400 of 5000, Stored update 400 of 5000
-2 * Loglike = 9131.687439
Actual update 450 of 5000, Stored update 450 of 5000
-2 * Loglike = 9108.355460
Actual update 500 of 5000, Stored update 500 of 5000
-2 * Loglike = 9132.555414
Actual update 550 of 5000, Stored update 550 of 5000
-2 * Loglike = 9115.943999
Actual update 600 of 5000, Stored update 600 of 5000
-2 * Loglike = 9152.513070
Actual update 650 of 5000, Stored update 650 of 5000
-2 * Loglike = 9141.354966
Actual update 700 of 5000, Stored update 700 of 5000
-2 * Loglike = 9133.258306
Actual update 750 of 5000, Stored update 750 of 5000
-2 * Loglike = 9116.810713
Actual update 800 of 5000, Stored update 800 of 5000
-2 * Loglike = 9108.564120
Actual update 850 of 5000, Stored update 850 of 5000
-2 * Loglike = 9121.420451
Actual update 900 of 5000, Stored update 900 of 5000
-2 * Loglike = 9138.742381
Actual update 950 of 5000, Stored update 950 of 5000
-2 * Loglike = 9114.736940
Actual update 1000 of 5000, Stored update 1000 of 5000
-2 * Loglike = 9091.555016
Actual update 1050 of 5000, Stored update 1050 of 5000
-2 * Loglike = 9131.363142
Actual update 1100 of 5000, Stored update 1100 of 5000
-2 * Loglike = 9125.332568
Actual update 1150 of 5000, Stored update 1150 of 5000
-2 * Loglike = 9097.844330
Actual update 1200 of 5000, Stored update 1200 of 5000
-2 * Loglike = 9138.484394
Actual update 1250 of 5000, Stored update 1250 of 5000
-2 * Loglike = 9082.156207
Actual update 1300 of 5000, Stored update 1300 of 5000
-2 * Loglike = 9101.290608
Actual update 1350 of 5000, Stored update 1350 of 5000
-2 * Loglike = 9124.239409
Actual update 1400 of 5000, Stored update 1400 of 5000
-2 * Loglike = 9114.619063
Actual update 1450 of 5000, Stored update 1450 of 5000
-2 * Loglike = 9114.747777
Actual update 1500 of 5000, Stored update 1500 of 5000
-2 * Loglike = 9116.337528
Actual update 1550 of 5000, Stored update 1550 of 5000
-2 * Loglike = 9144.766528
Actual update 1600 of 5000, Stored update 1600 of 5000
-2 * Loglike = 9122.181723
Actual update 1650 of 5000, Stored update 1650 of 5000
-2 * Loglike = 9124.973066
Actual update 1700 of 5000, Stored update 1700 of 5000
-2 * Loglike = 9111.972089
Actual update 1750 of 5000, Stored update 1750 of 5000
-2 * Loglike = 9151.472475
Actual update 1800 of 5000, Stored update 1800 of 5000
-2 * Loglike = 9131.683764
Actual update 1850 of 5000, Stored update 1850 of 5000
-2 * Loglike = 9138.257016
Actual update 1900 of 5000, Stored update 1900 of 5000
-2 * Loglike = 9133.554004
Actual update 1950 of 5000, Stored update 1950 of 5000
-2 * Loglike = 9123.409766
Actual update 2000 of 5000, Stored update 2000 of 5000
-2 * Loglike = 9128.297585
Actual update 2050 of 5000, Stored update 2050 of 5000
-2 * Loglike = 9104.296050
Actual update 2100 of 5000, Stored update 2100 of 5000
-2 * Loglike = 9137.095718
Actual update 2150 of 5000, Stored update 2150 of 5000
-2 * Loglike = 9143.896737
Actual update 2200 of 5000, Stored update 2200 of 5000
-2 * Loglike = 9102.070659
Actual update 2250 of 5000, Stored update 2250 of 5000
-2 * Loglike = 9117.396992
Actual update 2300 of 5000, Stored update 2300 of 5000
-2 * Loglike = 9138.499239
Actual update 2350 of 5000, Stored update 2350 of 5000
-2 * Loglike = 9127.133528
Actual update 2400 of 5000, Stored update 2400 of 5000
-2 * Loglike = 9113.067866
Actual update 2450 of 5000, Stored update 2450 of 5000
-2 * Loglike = 9103.903447
Actual update 2500 of 5000, Stored update 2500 of 5000
-2 * Loglike = 9149.144987
Actual update 2550 of 5000, Stored update 2550 of 5000
-2 * Loglike = 9138.087506
Actual update 2600 of 5000, Stored update 2600 of 5000
-2 * Loglike = 9114.282994
Actual update 2650 of 5000, Stored update 2650 of 5000
-2 * Loglike = 9126.694810
Actual update 2700 of 5000, Stored update 2700 of 5000
-2 * Loglike = 9147.028098
Actual update 2750 of 5000, Stored update 2750 of 5000
-2 * Loglike = 9161.879847
Actual update 2800 of 5000, Stored update 2800 of 5000
-2 * Loglike = 9121.180491
Actual update 2850 of 5000, Stored update 2850 of 5000
-2 * Loglike = 9142.555087
Actual update 2900 of 5000, Stored update 2900 of 5000
-2 * Loglike = 9122.311287
Actual update 2950 of 5000, Stored update 2950 of 5000
-2 * Loglike = 9127.227149
Actual update 3000 of 5000, Stored update 3000 of 5000
-2 * Loglike = 9124.217925
Actual update 3050 of 5000, Stored update 3050 of 5000
-2 * Loglike = 9125.753068
Actual update 3100 of 5000, Stored update 3100 of 5000
-2 * Loglike = 9117.732995
Actual update 3150 of 5000, Stored update 3150 of 5000
-2 * Loglike = 9102.999132
Actual update 3200 of 5000, Stored update 3200 of 5000
-2 * Loglike = 9142.671662
Actual update 3250 of 5000, Stored update 3250 of 5000
-2 * Loglike = 9122.920747
Actual update 3300 of 5000, Stored update 3300 of 5000
-2 * Loglike = 9105.394085
Actual update 3350 of 5000, Stored update 3350 of 5000
-2 * Loglike = 9109.937096
Actual update 3400 of 5000, Stored update 3400 of 5000
-2 * Loglike = 9133.266238
Actual update 3450 of 5000, Stored update 3450 of 5000
-2 * Loglike = 9128.653530
Actual update 3500 of 5000, Stored update 3500 of 5000
-2 * Loglike = 9136.158971
Actual update 3550 of 5000, Stored update 3550 of 5000
-2 * Loglike = 9105.982545
Actual update 3600 of 5000, Stored update 3600 of 5000
-2 * Loglike = 9120.144608
Actual update 3650 of 5000, Stored update 3650 of 5000
-2 * Loglike = 9114.575031
Actual update 3700 of 5000, Stored update 3700 of 5000
-2 * Loglike = 9133.197650
Actual update 3750 of 5000, Stored update 3750 of 5000
-2 * Loglike = 9130.344926
Actual update 3800 of 5000, Stored update 3800 of 5000
-2 * Loglike = 9092.512702
Actual update 3850 of 5000, Stored update 3850 of 5000
-2 * Loglike = 9114.278857
Actual update 3900 of 5000, Stored update 3900 of 5000
-2 * Loglike = 9144.742337
Actual update 3950 of 5000, Stored update 3950 of 5000
-2 * Loglike = 9120.743215
Actual update 4000 of 5000, Stored update 4000 of 5000
-2 * Loglike = 9142.298781
Actual update 4050 of 5000, Stored update 4050 of 5000
-2 * Loglike = 9118.469790
Actual update 4100 of 5000, Stored update 4100 of 5000
-2 * Loglike = 9109.795673
Actual update 4150 of 5000, Stored update 4150 of 5000
-2 * Loglike = 9088.073600
Actual update 4200 of 5000, Stored update 4200 of 5000
-2 * Loglike = 9161.811465
Actual update 4250 of 5000, Stored update 4250 of 5000
-2 * Loglike = 9137.419303
Actual update 4300 of 5000, Stored update 4300 of 5000
-2 * Loglike = 9115.843319
Actual update 4350 of 5000, Stored update 4350 of 5000
-2 * Loglike = 9115.648891
Actual update 4400 of 5000, Stored update 4400 of 5000
-2 * Loglike = 9150.094864
Actual update 4450 of 5000, Stored update 4450 of 5000
-2 * Loglike = 9100.919860
Actual update 4500 of 5000, Stored update 4500 of 5000
-2 * Loglike = 9096.297411
Actual update 4550 of 5000, Stored update 4550 of 5000
-2 * Loglike = 9131.796980
Actual update 4600 of 5000, Stored update 4600 of 5000
-2 * Loglike = 9085.465876
Actual update 4650 of 5000, Stored update 4650 of 5000
-2 * Loglike = 9140.397553
Actual update 4700 of 5000, Stored update 4700 of 5000
-2 * Loglike = 9123.370402
Actual update 4750 of 5000, Stored update 4750 of 5000
-2 * Loglike = 9100.746109
Actual update 4800 of 5000, Stored update 4800 of 5000
-2 * Loglike = 9121.987877
Actual update 4850 of 5000, Stored update 4850 of 5000
-2 * Loglike = 9135.811667
Actual update 4900 of 5000, Stored update 4900 of 5000
-2 * Loglike = 9101.529840
Actual update 4950 of 5000, Stored update 4950 of 5000
-2 * Loglike = 9089.833247
Actual update 5000 of 5000, Stored update 5000 of 5000
-2 * Loglike = 9153.221559
PUPN c1003 c1004
AVER c1091 b99 b100

Count   =           5000
Average =          9120.0
S.D.    =          16.246
S.E.M.  =         0.22975

ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
        N min     mean max N_complete min_complete mean_complete max_complete
school 65   2 62.44615 198         65            2      62.44615          198
Estimation algorithm:  MCMC      Elapsed time : 2.21s 
Number of obs:  4059 (from total 4059)          Number of iter.: 5000  Chains: 1  Burn-in: 500 
Bayesian Deviance Information Criterion (DIC)
Dbar      D(thetabar)    pD      DIC
9120.047   9025.797   94.250     9214.297   
--------------------------------------------------------------------------------------------------- 
The model formula:
normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student)
Level 2: school     Level 1: student      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
               Coef.   Std. Err.      z     Pr(>|z|)       [95% Cred.   Interval]   ESS 
Intercept   -0.01421     0.04113  -0.35       0.7297         -0.09113     0.06585   206 
standlrt     0.55491     0.02162  25.67   2.801e-145  ***     0.51271     0.59711   641 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                           Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept            0.10334     0.02219      0.06820     0.15409   3208 
cov_Intercept_standlrt   0.02055     0.00834      0.00598     0.03916   1818 
var_standlrt             0.01771     0.00561      0.00908     0.03075    949 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the student level: 
                  Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept   0.55424     0.01243      0.53049     0.57877   4456 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> # 6.5 Informative prior . . . . . . . . . . . . . . . . . . . . . . . . . 80
> 
> ## Informative normal prior for Sigma_u
> (mymodel3 <- runMLwiN(normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student), estoptions = list(EstM = 1, 
+   mcmcMeth = list(priorParam = list(rp2 = list(estimate = matrix(c(0.09, 0.018, 0.018, 0.015), 2, 2), size = 65)))), 
+   data = tutorial))
MLwiN is running, please wait......
/nogui option ignored
ECHO    0


Echoing is ON
BATC 1

Batch mode is ON
MAXI 2
STAR
iteration 0
iteration 1

Convergence not achieved
TOLE 2
MAXI 20
BATC 1

Batch mode is ON
NEXT
iteration 2
iteration 3

Convergence achieved
ECHO 0

Echoing is ON
MCMC   0 500 1 5.8 50 10 G30[1] G30[2] c1092 1 1 1 1 1 1
BURNING IN...
Burning in for 50 iterations out of 500
-2 * Loglike = 9122.363827
Burning in for 100 iterations out of 500
-2 * Loglike = 9130.332318
Burning in for 150 iterations out of 500
-2 * Loglike = 9131.643496
Burning in for 200 iterations out of 500
-2 * Loglike = 9126.868873
Burning in for 250 iterations out of 500
-2 * Loglike = 9104.697630
Burning in for 300 iterations out of 500
-2 * Loglike = 9115.331556
Burning in for 350 iterations out of 500
-2 * Loglike = 9119.458734
Burning in for 400 iterations out of 500
-2 * Loglike = 9100.655210
Burning in for 450 iterations out of 500
-2 * Loglike = 9121.330592
Burning in for 500 iterations out of 500
-2 * Loglike = 9107.375644

ERAS G30
LINK 0 G30
ERAS  c1090 c1091

MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1
Actual update 50 of 5000, Stored update 50 of 5000
-2 * Loglike = 9128.993505
Actual update 100 of 5000, Stored update 100 of 5000
-2 * Loglike = 9119.505287
Actual update 150 of 5000, Stored update 150 of 5000
-2 * Loglike = 9148.452617
Actual update 200 of 5000, Stored update 200 of 5000
-2 * Loglike = 9132.150660
Actual update 250 of 5000, Stored update 250 of 5000
-2 * Loglike = 9154.761068
Actual update 300 of 5000, Stored update 300 of 5000
-2 * Loglike = 9103.272896
Actual update 350 of 5000, Stored update 350 of 5000
-2 * Loglike = 9118.421083
Actual update 400 of 5000, Stored update 400 of 5000
-2 * Loglike = 9110.961018
Actual update 450 of 5000, Stored update 450 of 5000
-2 * Loglike = 9143.142419
Actual update 500 of 5000, Stored update 500 of 5000
-2 * Loglike = 9142.754873
Actual update 550 of 5000, Stored update 550 of 5000
-2 * Loglike = 9118.419338
Actual update 600 of 5000, Stored update 600 of 5000
-2 * Loglike = 9136.143754
Actual update 650 of 5000, Stored update 650 of 5000
-2 * Loglike = 9144.192037
Actual update 700 of 5000, Stored update 700 of 5000
-2 * Loglike = 9137.121837
Actual update 750 of 5000, Stored update 750 of 5000
-2 * Loglike = 9120.656566
Actual update 800 of 5000, Stored update 800 of 5000
-2 * Loglike = 9138.366900
Actual update 850 of 5000, Stored update 850 of 5000
-2 * Loglike = 9126.876356
Actual update 900 of 5000, Stored update 900 of 5000
-2 * Loglike = 9117.054350
Actual update 950 of 5000, Stored update 950 of 5000
-2 * Loglike = 9124.748664
Actual update 1000 of 5000, Stored update 1000 of 5000
-2 * Loglike = 9139.747982
Actual update 1050 of 5000, Stored update 1050 of 5000
-2 * Loglike = 9126.389336
Actual update 1100 of 5000, Stored update 1100 of 5000
-2 * Loglike = 9107.797044
Actual update 1150 of 5000, Stored update 1150 of 5000
-2 * Loglike = 9095.840081
Actual update 1200 of 5000, Stored update 1200 of 5000
-2 * Loglike = 9141.822991
Actual update 1250 of 5000, Stored update 1250 of 5000
-2 * Loglike = 9121.696205
Actual update 1300 of 5000, Stored update 1300 of 5000
-2 * Loglike = 9147.667123
Actual update 1350 of 5000, Stored update 1350 of 5000
-2 * Loglike = 9108.237056
Actual update 1400 of 5000, Stored update 1400 of 5000
-2 * Loglike = 9113.271547
Actual update 1450 of 5000, Stored update 1450 of 5000
-2 * Loglike = 9117.493572
Actual update 1500 of 5000, Stored update 1500 of 5000
-2 * Loglike = 9122.095028
Actual update 1550 of 5000, Stored update 1550 of 5000
-2 * Loglike = 9107.090794
Actual update 1600 of 5000, Stored update 1600 of 5000
-2 * Loglike = 9122.623136
Actual update 1650 of 5000, Stored update 1650 of 5000
-2 * Loglike = 9114.323257
Actual update 1700 of 5000, Stored update 1700 of 5000
-2 * Loglike = 9121.046034
Actual update 1750 of 5000, Stored update 1750 of 5000
-2 * Loglike = 9114.603646
Actual update 1800 of 5000, Stored update 1800 of 5000
-2 * Loglike = 9087.809069
Actual update 1850 of 5000, Stored update 1850 of 5000
-2 * Loglike = 9121.917764
Actual update 1900 of 5000, Stored update 1900 of 5000
-2 * Loglike = 9110.638821
Actual update 1950 of 5000, Stored update 1950 of 5000
-2 * Loglike = 9116.615444
Actual update 2000 of 5000, Stored update 2000 of 5000
-2 * Loglike = 9118.590341
Actual update 2050 of 5000, Stored update 2050 of 5000
-2 * Loglike = 9121.614019
Actual update 2100 of 5000, Stored update 2100 of 5000
-2 * Loglike = 9146.183013
Actual update 2150 of 5000, Stored update 2150 of 5000
-2 * Loglike = 9110.755170
Actual update 2200 of 5000, Stored update 2200 of 5000
-2 * Loglike = 9119.857268
Actual update 2250 of 5000, Stored update 2250 of 5000
-2 * Loglike = 9099.723205
Actual update 2300 of 5000, Stored update 2300 of 5000
-2 * Loglike = 9105.841641
Actual update 2350 of 5000, Stored update 2350 of 5000
-2 * Loglike = 9118.414326
Actual update 2400 of 5000, Stored update 2400 of 5000
-2 * Loglike = 9098.804582
Actual update 2450 of 5000, Stored update 2450 of 5000
-2 * Loglike = 9111.643500
Actual update 2500 of 5000, Stored update 2500 of 5000
-2 * Loglike = 9117.582528
Actual update 2550 of 5000, Stored update 2550 of 5000
-2 * Loglike = 9123.440345
Actual update 2600 of 5000, Stored update 2600 of 5000
-2 * Loglike = 9096.578302
Actual update 2650 of 5000, Stored update 2650 of 5000
-2 * Loglike = 9094.830638
Actual update 2700 of 5000, Stored update 2700 of 5000
-2 * Loglike = 9116.414242
Actual update 2750 of 5000, Stored update 2750 of 5000
-2 * Loglike = 9134.420171
Actual update 2800 of 5000, Stored update 2800 of 5000
-2 * Loglike = 9097.513740
Actual update 2850 of 5000, Stored update 2850 of 5000
-2 * Loglike = 9128.829932
Actual update 2900 of 5000, Stored update 2900 of 5000
-2 * Loglike = 9117.332961
Actual update 2950 of 5000, Stored update 2950 of 5000
-2 * Loglike = 9125.885188
Actual update 3000 of 5000, Stored update 3000 of 5000
-2 * Loglike = 9140.476065
Actual update 3050 of 5000, Stored update 3050 of 5000
-2 * Loglike = 9120.044965
Actual update 3100 of 5000, Stored update 3100 of 5000
-2 * Loglike = 9128.496487
Actual update 3150 of 5000, Stored update 3150 of 5000
-2 * Loglike = 9092.561518
Actual update 3200 of 5000, Stored update 3200 of 5000
-2 * Loglike = 9111.864079
Actual update 3250 of 5000, Stored update 3250 of 5000
-2 * Loglike = 9091.474662
Actual update 3300 of 5000, Stored update 3300 of 5000
-2 * Loglike = 9141.544971
Actual update 3350 of 5000, Stored update 3350 of 5000
-2 * Loglike = 9127.760418
Actual update 3400 of 5000, Stored update 3400 of 5000
-2 * Loglike = 9128.264474
Actual update 3450 of 5000, Stored update 3450 of 5000
-2 * Loglike = 9100.419185
Actual update 3500 of 5000, Stored update 3500 of 5000
-2 * Loglike = 9105.780915
Actual update 3550 of 5000, Stored update 3550 of 5000
-2 * Loglike = 9153.061392
Actual update 3600 of 5000, Stored update 3600 of 5000
-2 * Loglike = 9120.717553
Actual update 3650 of 5000, Stored update 3650 of 5000
-2 * Loglike = 9149.681723
Actual update 3700 of 5000, Stored update 3700 of 5000
-2 * Loglike = 9147.668659
Actual update 3750 of 5000, Stored update 3750 of 5000
-2 * Loglike = 9135.198110
Actual update 3800 of 5000, Stored update 3800 of 5000
-2 * Loglike = 9133.315718
Actual update 3850 of 5000, Stored update 3850 of 5000
-2 * Loglike = 9132.389113
Actual update 3900 of 5000, Stored update 3900 of 5000
-2 * Loglike = 9143.346829
Actual update 3950 of 5000, Stored update 3950 of 5000
-2 * Loglike = 9111.110959
Actual update 4000 of 5000, Stored update 4000 of 5000
-2 * Loglike = 9169.782815
Actual update 4050 of 5000, Stored update 4050 of 5000
-2 * Loglike = 9108.794660
Actual update 4100 of 5000, Stored update 4100 of 5000
-2 * Loglike = 9141.687174
Actual update 4150 of 5000, Stored update 4150 of 5000
-2 * Loglike = 9105.278517
Actual update 4200 of 5000, Stored update 4200 of 5000
-2 * Loglike = 9119.949246
Actual update 4250 of 5000, Stored update 4250 of 5000
-2 * Loglike = 9125.489570
Actual update 4300 of 5000, Stored update 4300 of 5000
-2 * Loglike = 9117.859523
Actual update 4350 of 5000, Stored update 4350 of 5000
-2 * Loglike = 9110.987858
Actual update 4400 of 5000, Stored update 4400 of 5000
-2 * Loglike = 9116.800327
Actual update 4450 of 5000, Stored update 4450 of 5000
-2 * Loglike = 9133.244208
Actual update 4500 of 5000, Stored update 4500 of 5000
-2 * Loglike = 9131.761474
Actual update 4550 of 5000, Stored update 4550 of 5000
-2 * Loglike = 9104.211476
Actual update 4600 of 5000, Stored update 4600 of 5000
-2 * Loglike = 9110.829910
Actual update 4650 of 5000, Stored update 4650 of 5000
-2 * Loglike = 9116.094565
Actual update 4700 of 5000, Stored update 4700 of 5000
-2 * Loglike = 9117.727257
Actual update 4750 of 5000, Stored update 4750 of 5000
-2 * Loglike = 9133.727343
Actual update 4800 of 5000, Stored update 4800 of 5000
-2 * Loglike = 9130.106899
Actual update 4850 of 5000, Stored update 4850 of 5000
-2 * Loglike = 9111.917504
Actual update 4900 of 5000, Stored update 4900 of 5000
-2 * Loglike = 9118.645420
Actual update 4950 of 5000, Stored update 4950 of 5000
-2 * Loglike = 9124.067795
Actual update 5000 of 5000, Stored update 5000 of 5000
-2 * Loglike = 9120.404518
PUPN c1003 c1004
AVER c1091 b99 b100

Count   =           5000
Average =          9121.3
S.D.    =          15.747
S.E.M.  =         0.22270

ECHO 0
Execution completed


-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
MLwiN (version: 3.11)  multilevel model (Normal) 
        N min     mean max N_complete min_complete mean_complete max_complete
school 65   2 62.44615 198         65            2      62.44615          198
Estimation algorithm:  MCMC      Elapsed time : 2.16s 
Number of obs:  4059 (from total 4059)          Number of iter.: 5000  Chains: 1  Burn-in: 500 
Bayesian Deviance Information Criterion (DIC)
Dbar      D(thetabar)    pD      DIC
9121.322   9030.486   90.837     9212.159   
--------------------------------------------------------------------------------------------------- 
The model formula:
normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student)
Level 2: school     Level 1: student      
--------------------------------------------------------------------------------------------------- 
The fixed part estimates:  
               Coef.   Std. Err.      z     Pr(>|z|)       [95% Cred.   Interval]   ESS 
Intercept   -0.01132     0.03953  -0.29       0.7746         -0.08603     0.06779   208 
standlrt     0.55655     0.02053  27.11   6.997e-162  ***     0.51621     0.59658   600 
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1  
--------------------------------------------------------------------------------------------------- 
The random part estimates at the school level: 
                           Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept            0.09060     0.01195      0.06979     0.11647   3955 
cov_Intercept_standlrt   0.01811     0.00413      0.01075     0.02696   3116 
var_standlrt             0.01487     0.00233      0.01103     0.01996   2462 
--------------------------------------------------------------------------------------------------- 
The random part estimates at the student level: 
                  Coef.   Std. Err.   [95% Cred.   Interval]    ESS 
var_Intercept   0.55410     0.01233      0.53063     0.57856   4559 
-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- 
> 
> # 6.6 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
> 
> if (!require(texreg)) {
+   warning("texreg package required to use screenreg() function")
+ } else {
+   screenreg(list(mymodel0a, mymodel0, mymodel1, mymodel2, mymodel3), custom.model.names=c("IGLS", "default", "prior 2", "uniform", "prior 4"), groups = list("Fixed Part" = 1:2, "Level-2" = 3:5, "Level-1" = 6:6),
+    stars = numeric(0), include.nobs=FALSE, include.loglik=FALSE, include.deviance=FALSE, include.dbar=FALSE, include.dthetabar=FALSE, include.pd=FALSE, include.dic=FALSE)
+ }
Loading required package: texreg
Version:  1.39.3
Date:     2023-11-09
Author:   Philip Leifeld (University of Essex)

Consider submitting praise using the praise or praise_interactive functions.
Please cite the JSS article in your publications -- see citation("texreg").

==================================================================================================
                                IGLS    default        prior 2        uniform        prior 4      
--------------------------------------------------------------------------------------------------
Fixed Part                                                                                        
                                                                                                  
    FP_Intercept                -0.01    -0.01          -0.01          -0.01          -0.01       
                                (0.04)  [-0.09; 0.07]  [-0.09; 0.07]  [-0.09; 0.07]  [-0.09; 0.07]
    FP_standlrt                  0.56     0.56 *         0.55 *         0.55 *         0.56 *     
                                (0.02)  [ 0.52; 0.60]  [ 0.51; 0.60]  [ 0.51; 0.60]  [ 0.52; 0.60]
Level-2                                                                                           
                                                                                                  
    RP2_var_Intercept            0.09     0.10 *         0.10 *         0.10 *         0.09 *     
                                (0.02)  [ 0.06; 0.14]  [ 0.06; 0.14]  [ 0.07; 0.15]  [ 0.07; 0.12]
    RP2_cov_Intercept_standlrt   0.02     0.02 *         0.02 *         0.02 *         0.02 *     
                                (0.01)  [ 0.01; 0.04]  [ 0.00; 0.04]  [ 0.01; 0.04]  [ 0.01; 0.03]
    RP2_var_standlrt             0.01     0.02 *         0.02 *         0.02 *         0.01 *     
                                (0.00)  [ 0.01; 0.03]  [ 0.01; 0.04]  [ 0.01; 0.03]  [ 0.01; 0.02]
Level-1                                                                                           
                                                                                                  
    RP1_var_Intercept            0.55     0.55 *         0.55 *         0.55 *         0.55 *     
                                (0.01)  [ 0.53; 0.58]  [ 0.53; 0.58]  [ 0.53; 0.58]  [ 0.53; 0.58]
==================================================================================================
* Null hypothesis value outside the confidence interval.
> 
> # Chapter learning outcomes . . . . . . . . . . . . . . . . . . . . . . . 81
> 
> 
> 
> 
> 
> ############################################################################
> 
> proc.time()
   user  system elapsed 
  15.53    2.51   47.04