R version 4.3.2 (2023-10-31 ucrt) -- "Eye Holes"
Copyright (C) 2023 The R Foundation for Statistical Computing
Platform: x86_64-w64-mingw32/x64 (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

  Natural language support but running in an English locale

R is a collaborative project with many contributors.
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 v3.09/
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: 3.09)  multilevel model (Normal) 
Estimation algorithm:  MCMC      Elapsed time : 13.39s 
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: 3.09)  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 : 0.1s 
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: 3.09)  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 : 2.22s 
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: 3.09)  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 : 2.37s 
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: 3.09)  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 : 2.27s 
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: 3.09)  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
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: 3.09)  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 : 2.09s 
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 
  16.68    2.45   46.51