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. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. 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 > # > # 5 Prior Distributions, Starting Values and Random Number Seeds . . . .61 > # > # 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/ > ############################################################################ > > # 5.1 Prior distributions . . . . . . . . . . . . . . . . . . . . . . . . 61 > > # 5.2 Uniform on variance scale priors . . . . . . . . . . . . . . . . . .61 > > 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="") > # 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) > > # User's input if necessary > > ## Read tutorial data > data(tutorial, package = "R2MLwiN") > > ## IGLS > (mymodel1 <- runMLwiN(normexam ~ 1 + standlrt + (1 | 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: -4678.6 Deviance statistic: 9357.2 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Conf. Interval] Intercept 0.00239 0.04002 0.06 0.9524 -0.07605 0.08083 standlrt 0.56337 0.01247 45.19 0 *** 0.53894 0.58780 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 0.09213 0.01815 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. var_Intercept 0.56573 0.01266 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > ## Diffuse priors (Gamma priors) > (mymodel2 <- runMLwiN(normexam ~ 1 + standlrt + (1 | 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 = 9206.193266 Burning in for 100 iterations out of 500 -2 * Loglike = 9216.262176 Burning in for 150 iterations out of 500 -2 * Loglike = 9241.057582 Burning in for 200 iterations out of 500 -2 * Loglike = 9214.675885 Burning in for 250 iterations out of 500 -2 * Loglike = 9198.255145 Burning in for 300 iterations out of 500 -2 * Loglike = 9227.186873 Burning in for 350 iterations out of 500 -2 * Loglike = 9222.091977 Burning in for 400 iterations out of 500 -2 * Loglike = 9214.630238 Burning in for 450 iterations out of 500 -2 * Loglike = 9216.522216 Burning in for 500 iterations out of 500 -2 * Loglike = 9201.148603 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 = 9212.190791 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9208.377297 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9207.886882 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9195.385976 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9238.483062 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9215.621742 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9205.716499 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9207.158850 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9210.248427 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9228.495732 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9221.683303 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9202.166694 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9237.981658 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9201.878383 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9198.726654 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9214.104227 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9227.156460 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9197.279082 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9191.816267 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9219.178731 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9214.163387 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9218.308723 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9188.214048 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9188.278770 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9208.819913 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9193.939811 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9193.651680 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9215.606479 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9195.925780 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9218.422125 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9202.244183 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9204.907738 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9194.883902 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9214.140517 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9211.397609 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9207.941176 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9216.158993 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9216.821254 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9209.099646 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9205.356036 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9226.820798 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9215.889068 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9204.485567 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9239.773102 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9204.613020 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9205.832435 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9197.787494 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9202.635017 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9202.243753 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9199.686027 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9213.435702 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9215.862131 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9203.440604 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9197.917390 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9225.824248 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9222.623770 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9226.897380 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9197.383677 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9211.390320 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9207.286579 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9217.534200 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9227.872396 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9198.935844 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9203.578259 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9193.257434 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9204.815469 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9200.291358 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9219.578031 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9214.657834 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9213.144417 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9217.997575 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9225.109666 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9212.063094 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9226.746381 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9214.159422 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9204.966122 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9190.735716 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9206.324394 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9205.512200 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9201.017143 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9211.234780 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9211.765768 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9200.968089 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9229.231239 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9207.636298 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9197.507235 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9208.445006 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9231.667774 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9201.470719 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9208.425209 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9216.996959 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9225.405793 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9201.746288 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9212.656436 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9202.976127 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9218.846042 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9200.637551 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9219.146880 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9215.841845 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9212.109834 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9209.1 S.D. = 11.916 S.E.M. = 0.16852 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 : 1.56s 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 9209.078 9149.069 60.010 9269.088 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept 0.00318 0.04420 0.07 0.9427 -0.08330 0.09189 223 standlrt 0.56322 0.01258 44.77 0 *** 0.53844 0.58780 3821 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 0.09742 0.01988 0.06472 0.14144 3126 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.56617 0.01249 0.54212 0.59090 4751 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > ## Diffuse priors (Uniform priors) > (mymodel3 <- runMLwiN(normexam ~ 1 + standlrt + (1 | 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 = 9205.810806 Burning in for 100 iterations out of 500 -2 * Loglike = 9215.875072 Burning in for 150 iterations out of 500 -2 * Loglike = 9241.027909 Burning in for 200 iterations out of 500 -2 * Loglike = 9214.690189 Burning in for 250 iterations out of 500 -2 * Loglike = 9197.915505 Burning in for 300 iterations out of 500 -2 * Loglike = 9226.691192 Burning in for 350 iterations out of 500 -2 * Loglike = 9221.939812 Burning in for 400 iterations out of 500 -2 * Loglike = 9214.648403 Burning in for 450 iterations out of 500 -2 * Loglike = 9216.436187 Burning in for 500 iterations out of 500 -2 * Loglike = 9200.962722 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 = 9211.829316 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9208.252254 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9207.474658 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9195.303044 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9237.875695 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9215.279544 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9205.216055 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9207.194053 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9209.670491 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9228.147390 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9221.142218 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9202.025591 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9237.310950 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9201.609653 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9198.651720 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9213.676697 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9226.654472 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9197.091761 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9191.332457 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9203.168020 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9219.930342 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9190.572166 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9187.820769 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9191.319309 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9208.424962 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9193.578324 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9193.362651 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9215.800487 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9195.697241 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9217.649827 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9202.221875 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9204.702977 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9194.734325 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9214.075925 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9210.850079 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9207.673997 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9215.689888 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9216.562637 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9208.939484 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9204.992174 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9226.559863 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9215.628259 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9204.220816 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9239.698267 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9204.146545 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9205.754234 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9197.376984 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9202.261581 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9201.776501 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9199.483581 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9212.886749 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9215.503650 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9203.140920 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9197.880593 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9225.594123 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9222.127125 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9226.428207 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9197.088472 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9211.288577 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9206.916470 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9217.312858 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9227.433842 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9198.775966 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9203.263025 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9192.770836 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9204.577115 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9199.755428 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9223.824791 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9214.510921 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9212.806462 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9217.731049 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9224.753294 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9211.983406 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9226.618849 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9212.927802 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9194.951292 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9202.101969 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9203.534025 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9201.808440 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9203.452422 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9192.064532 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9206.754094 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9192.398448 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9197.709294 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9235.276558 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9213.693064 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9215.554988 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9227.538264 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9212.019772 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9215.221028 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9229.428466 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9227.351341 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9215.531289 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9208.716057 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9217.974852 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9206.761836 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9195.291703 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9203.115266 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9202.826876 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9211.036201 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9208.8 S.D. = 11.875 S.E.M. = 0.16793 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 : 1.55s 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 9208.775 9148.626 60.149 9268.924 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept 0.00351 0.04393 0.08 0.9364 -0.08436 0.09203 228 standlrt 0.56291 0.01262 44.61 0 *** 0.53789 0.58746 4151 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 0.10125 0.02083 0.06713 0.14856 3105 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.56647 0.01264 0.54210 0.59173 4686 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > if (!require(texreg)) { + warning("texreg package required to use screenreg() function") + } else { + screenreg(list(mymodel1, mymodel2, mymodel3), custom.model.names=c("IGLS", "Gibbs1", "Gibbs2"), groups = list("Fixed Part" = 1:2, "Level-2" = 3:3, "Level-1" = 4:4), + 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 Gibbs1 Gibbs2 ----------------------------------------------------------- Fixed Part FP_Intercept 0.00 0.00 0.00 (0.04) [-0.08; 0.09] [-0.08; 0.09] FP_standlrt 0.56 0.56 * 0.56 * (0.01) [ 0.54; 0.59] [ 0.54; 0.59] Level-2 RP2_var_Intercept 0.09 0.10 * 0.10 * (0.02) [ 0.06; 0.14] [ 0.07; 0.15] Level-1 RP1_var_Intercept 0.57 0.57 * 0.57 * (0.01) [ 0.54; 0.59] [ 0.54; 0.59] =========================================================== * Null hypothesis value outside the confidence interval. > rm(list = c("mymodel1", "mymodel2", "mymodel3")) > > # 5.3 Using informative priors . . . . . . . . . . . . . . . . . . . . . .62 > > ## Informative normal prior for beta_1 Fit the model > (mymodel4 <- runMLwiN(normexam ~ 1 + standlrt + (1 | school) + (1 | student), estoptions = list(EstM = 1, mcmcMeth = list(priorParam = list(fixe = list(standlrt = c(1, + 0.01))))), 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 = 9706.897984 Burning in for 100 iterations out of 500 -2 * Loglike = 9692.204734 Burning in for 150 iterations out of 500 -2 * Loglike = 9763.640621 Burning in for 200 iterations out of 500 -2 * Loglike = 9711.797029 Burning in for 250 iterations out of 500 -2 * Loglike = 9686.897247 Burning in for 300 iterations out of 500 -2 * Loglike = 9737.126921 Burning in for 350 iterations out of 500 -2 * Loglike = 9704.681847 Burning in for 400 iterations out of 500 -2 * Loglike = 9743.766532 Burning in for 450 iterations out of 500 -2 * Loglike = 9732.145050 Burning in for 500 iterations out of 500 -2 * Loglike = 9688.598828 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 = 9663.749821 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9694.728849 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9656.802947 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9717.991675 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9668.526644 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9726.106157 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9721.929674 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9639.131284 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9650.353119 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9708.131249 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9744.590154 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9676.893208 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9770.852251 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9683.471463 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9663.269389 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9730.620727 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9739.250161 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9710.446081 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9706.962764 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9772.993395 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9675.097206 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9718.700524 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9630.493486 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9682.242045 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9694.439944 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9658.361906 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9684.709040 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9698.544988 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9689.057655 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9723.925780 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9692.764087 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9685.469009 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9696.294834 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9701.814457 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9692.436443 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9659.608527 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9668.086384 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9688.381724 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9715.856864 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9712.438810 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9690.653990 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9687.137126 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9695.711341 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9681.837627 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9692.423154 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9710.025959 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9673.628870 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9670.984715 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9695.745300 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9652.224320 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9750.598002 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9701.024944 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9639.931450 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9643.622179 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9643.021300 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9729.152943 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9738.401912 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9692.696238 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9697.932981 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9705.171569 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9675.544005 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9712.743829 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9720.615734 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9691.682590 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9672.517163 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9672.209919 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9667.287666 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9722.144632 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9705.917305 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9719.438042 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9645.434029 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9665.169280 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9708.598819 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9761.714940 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9729.405106 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9702.728690 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9694.532237 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9719.237985 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9644.240477 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9653.359411 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9710.737794 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9700.668476 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9711.283281 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9695.412798 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9661.960027 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9597.190179 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9664.232782 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9729.116340 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9659.267146 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9665.682121 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9723.944958 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9669.154975 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9707.298068 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9762.556156 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9736.773417 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9673.146156 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9650.841687 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9720.659811 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9765.776432 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9669.513096 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9693.6 S.D. = 29.477 S.E.M. = 0.41687 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 : 1.51s 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 9693.590 9636.339 57.251 9750.841 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept 0.01107 0.04037 0.27 0.784 -0.06769 0.09277 296 standlrt 0.84138 0.00836 100.68 0 *** 0.82527 0.85794 3907 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 0.07966 0.01695 0.05182 0.11744 2784 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.63797 0.01463 0.61068 0.66676 4059 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > sixway(mymodel4@chains[, "FP_standlrt", drop = FALSE], "beta_1") > > ## Informative normal prior for beta_1 > (mymodel5 <- runMLwiN(normexam ~ 1 + standlrt + (1 | school) + (1 | student), estoptions = list(EstM = 1, mcmcMeth = list(priorParam = list(fixe = list(standlrt = c(1, + 0.1))))), 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] c1092 1 1 1 1 1 1 BURNING IN... Burning in for 50 iterations out of 500 -2 * Loglike = 9207.985216 Burning in for 100 iterations out of 500 -2 * Loglike = 9216.102662 Burning in for 150 iterations out of 500 -2 * Loglike = 9243.571422 Burning in for 200 iterations out of 500 -2 * Loglike = 9215.690174 Burning in for 250 iterations out of 500 -2 * Loglike = 9198.775689 Burning in for 300 iterations out of 500 -2 * Loglike = 9228.659484 Burning in for 350 iterations out of 500 -2 * Loglike = 9222.722984 Burning in for 400 iterations out of 500 -2 * Loglike = 9217.078317 Burning in for 450 iterations out of 500 -2 * Loglike = 9217.631078 Burning in for 500 iterations out of 500 -2 * Loglike = 9201.764797 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 = 9211.696867 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9209.129098 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9207.357335 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9197.845491 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9237.241753 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9217.281889 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9207.791478 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9205.998727 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9209.784194 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9228.940042 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9224.415860 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9202.348184 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9241.028627 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9202.402208 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9198.495657 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9215.963780 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9228.807716 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9198.929861 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9193.682076 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9222.747857 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9213.741806 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9219.166484 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9186.863587 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9189.394709 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9209.553019 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9193.626728 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9193.969821 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9215.228990 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9196.527283 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9220.350380 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9202.866631 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9205.142903 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9195.973112 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9214.431721 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9211.950249 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9208.156255 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9215.788040 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9216.395300 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9210.668706 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9207.000238 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9226.619605 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9215.860598 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9205.092949 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9237.822492 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9205.112151 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9207.222986 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9198.231301 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9202.622871 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9203.176608 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9198.846688 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9215.870073 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9216.738036 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9202.367064 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9197.129153 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9224.019985 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9224.641693 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9228.591495 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9198.709548 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9211.568953 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9208.823713 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9217.227464 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9228.497068 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9201.141041 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9204.506055 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9193.694823 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9204.619453 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9200.189500 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9220.632169 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9215.657935 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9214.690498 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9216.348847 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9224.153216 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9213.344602 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9229.784443 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9216.149315 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9206.085336 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9192.403630 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9208.110191 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9204.746366 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9200.713896 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9212.165574 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9212.740803 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9202.220604 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9229.238261 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9206.983202 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9195.685974 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9208.183131 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9232.357468 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9201.258067 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9208.538861 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9218.194152 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9224.126889 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9202.649450 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9216.105846 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9205.914714 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9218.390524 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9200.528545 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9220.807429 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9219.297955 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9211.516391 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9209.7 S.D. = 12.007 S.E.M. = 0.16981 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 : 1.58s 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 9209.703 9149.746 59.958 9269.661 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept 0.00337 0.04407 0.08 0.9391 -0.08278 0.09181 224 standlrt 0.56993 0.01248 45.65 0 *** 0.54536 0.59425 3833 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 0.09682 0.01977 0.06426 0.14053 3120 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.56626 0.01249 0.54221 0.59094 4749 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > sixway(mymodel5@chains[, "FP_standlrt", drop = FALSE], "beta_1") > > # 5.4 Specifying an informative prior for a random parameter . . . . . . .65 > > ## Specifies an informative prior for sigma2u > (mymodel6 <- runMLwiN(normexam ~ 1 + standlrt + (1 | school) + (1 | student), estoptions = list(EstM = 1, mcmcMeth = list(priorParam = list(rp2 = list(estimate = 0.2, + size = 100)))), 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 = 9200.975178 Burning in for 100 iterations out of 500 -2 * Loglike = 9211.642830 Burning in for 150 iterations out of 500 -2 * Loglike = 9225.925396 Burning in for 200 iterations out of 500 -2 * Loglike = 9208.675167 Burning in for 250 iterations out of 500 -2 * Loglike = 9194.596250 Burning in for 300 iterations out of 500 -2 * Loglike = 9221.816208 Burning in for 350 iterations out of 500 -2 * Loglike = 9192.758664 Burning in for 400 iterations out of 500 -2 * Loglike = 9227.020649 Burning in for 450 iterations out of 500 -2 * Loglike = 9213.221638 Burning in for 500 iterations out of 500 -2 * Loglike = 9188.837295 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 = 9208.066750 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9203.796364 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9228.740811 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9209.595852 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9231.189494 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9234.944884 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9201.655433 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9189.857434 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9199.006124 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9214.990026 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9201.639794 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9206.960474 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9212.982401 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9199.895259 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9200.381874 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9214.080645 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9221.560540 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9196.072222 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9184.763615 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9199.447618 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9209.644626 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9209.123179 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9197.197996 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9214.218123 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9210.314687 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9207.494891 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9191.292131 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9205.562004 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9201.761205 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9209.508691 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9202.325080 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9220.680576 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9211.893144 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9198.670044 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9199.001567 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9198.338025 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9193.416439 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9222.008733 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9206.954432 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9241.075478 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9224.942279 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9214.051172 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9202.108798 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9220.245636 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9213.662462 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9216.085188 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9205.581201 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9234.970242 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9203.459254 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9234.625322 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9197.310536 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9222.465143 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9196.876344 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9214.202155 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9208.363738 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9187.398774 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9199.548630 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9199.385393 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9208.001648 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9192.965523 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9187.360690 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9192.991865 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9198.193132 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9209.102644 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9216.296302 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9219.762555 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9198.225017 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9201.045935 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9206.216911 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9220.358976 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9210.605130 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9193.728209 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9196.798648 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9199.080693 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9190.899116 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9209.740332 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9190.024250 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9209.121341 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9206.355193 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9221.732453 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9197.507346 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9208.494837 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9200.569805 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9195.967277 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9215.909703 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9203.182960 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9205.478887 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9231.021055 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9225.252870 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9204.459594 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9205.334930 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9208.844135 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9205.264687 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9200.525936 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9224.002779 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9206.100319 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9210.750466 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9194.457806 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9212.002155 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9234.213885 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9206.4 S.D. = 11.659 S.E.M. = 0.16489 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 : 1.55s 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 9206.419 9144.020 62.400 9268.819 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.00226 0.05170 -0.04 0.9651 -0.09927 0.10185 134 standlrt 0.56178 0.01255 44.78 0 *** 0.53741 0.58645 4366 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 0.16292 0.01872 0.13042 0.20240 4562 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.56588 0.01287 0.54100 0.59181 4735 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > sixway(mymodel6@chains[, "RP2_var_Intercept", drop = FALSE], "sigma^2_u0") > > # 5.5 Changing the random number seed and the parameter starting values .66 > > ## Set starting values for random and fixed parameter estimates > FP.b <- c(-2, 5) > names(FP.b) <- c("FP_Intercept", "FP_standlrt") > RP.b <- c(2, 4) > names(RP.b) <- c("RP2_var_Intercept", "RP1_var_Intercept") > startval <- list(FP.b = FP.b, RP.b = RP.b) > > (mymodel7 <- runMLwiN(normexam ~ 1 + standlrt + (1 | school) + (1 | student), estoptions = list(EstM = 1, mcmcMeth = list(burnin = 0, + iterations = 500), startval = startval), 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 -2 5 '_FP_b' JOIN 2 4 '_RP_b' ECHO 0 Echoing is ON MCMC 0 0 1 5.8 50 10 G30[1] G30[2] 1 1 1 1 1 1 BURNING IN... ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 500 1 c1090 c1091 c1003 c1004 1 1 Actual update 50 of 500, Stored update 50 of 500 -2 * Loglike = 9203.151396 Actual update 100 of 500, Stored update 100 of 500 -2 * Loglike = 9191.883805 Actual update 150 of 500, Stored update 150 of 500 -2 * Loglike = 9182.198346 Actual update 200 of 500, Stored update 200 of 500 -2 * Loglike = 9203.293638 Actual update 250 of 500, Stored update 250 of 500 -2 * Loglike = 9212.362161 Actual update 300 of 500, Stored update 300 of 500 -2 * Loglike = 9207.851148 Actual update 350 of 500, Stored update 350 of 500 -2 * Loglike = 9197.330971 Actual update 400 of 500, Stored update 400 of 500 -2 * Loglike = 9217.243681 Actual update 450 of 500, Stored update 450 of 500 -2 * Loglike = 9209.551458 Actual update 500 of 500, Stored update 500 of 500 -2 * Loglike = 9199.247938 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 500 Average = 9235.0 S.D. = 487.65 S.E.M. = 21.809 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 : 0.26s Number of obs: 4059 (from total 4059) Number of iter.: 500 Chains: 1 Burn-in: 0 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 9234.998 9157.571 77.427 9312.425 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.41657 0.62787 -0.66 0.507 -1.77741 0.08865 1 standlrt 0.56303 0.02685 20.97 1.181e-97 *** 0.53948 0.58684 405 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 0.70599 1.07994 0.07201 3.53361 3 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.60511 0.78702 0.54187 0.59526 406 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > rm(list = c("mymodel4", "mymodel5", "mymodel6", "mymodel7")) > > ## Use different seeds > (mymodel8 <- runMLwiN(normexam ~ 1 + standlrt + (1 | school) + (1 | student), estoptions = list(EstM = 1, mcmcMeth = list(nchains=4, seed = 1:4)), + data = tutorial)) MLwiN is running, please wait...... starting worker pid=7984 on localhost:11856 at 14:23:11.602 starting worker pid=1808 on localhost:11856 at 14:23:11.623 starting worker pid=6680 on localhost:11856 at 14:23:11.626 starting worker pid=11420 on localhost:11856 at 14:23:11.626 Loading required package: 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="") loaded R2MLwiN and set parent environment Loading required package: 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="") loaded R2MLwiN and set parent environment Loading required package: 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="") loaded R2MLwiN and set parent environment Loading required package: 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="") loaded R2MLwiN and set parent environment /nogui option ignored /nogui option ignored /nogui option ignored /nogui option ignored ECHO 0 ECHO 0 ECHO 0 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 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 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... 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 Burning in for 50 iterations out of 500 -2 * Loglike = 9206.193266 Burning in for 100 iterations out of 500 -2 * Loglike = 9200.609099 Burning in for 100 iterations out of 500 -2 * Loglike = 9216.262176 Burning in for 150 iterations out of 500 -2 * Loglike = 9203.175563 Burning in for 100 iterations out of 500 -2 * Loglike = 9215.293382 Burning in for 100 iterations out of 500 -2 * Loglike = 9200.366607 Burning in for 150 iterations out of 500 -2 * Loglike = 9241.057582 Burning in for 200 iterations out of 500 -2 * Loglike = 9209.601793 Burning in for 200 iterations out of 500 -2 * Loglike = 9214.675885 Burning in for 250 iterations out of 500 -2 * Loglike = 9210.592682 Burning in for 150 iterations out of 500 -2 * Loglike = 9204.601702 Burning in for 150 iterations out of 500 -2 * Loglike = 9191.581836 Burning in for 250 iterations out of 500 -2 * Loglike = 9198.255145 Burning in for 300 iterations out of 500 -2 * Loglike = 9209.632813 Burning in for 200 iterations out of 500 -2 * Loglike = 9212.840404 Burning in for 300 iterations out of 500 -2 * Loglike = 9200.368178 Burning in for 200 iterations out of 500 -2 * Loglike = 9227.186873 Burning in for 350 iterations out of 500 -2 * Loglike = 9209.689105 Burning in for 350 iterations out of 500 -2 * Loglike = 9222.091977 Burning in for 400 iterations out of 500 -2 * Loglike = 9209.324694 Burning in for 250 iterations out of 500 -2 * Loglike = 9211.614600 Burning in for 250 iterations out of 500 -2 * Loglike = 9226.679111 Burning in for 400 iterations out of 500 -2 * Loglike = 9214.630238 Burning in for 450 iterations out of 500 -2 * Loglike = 9191.232999 Burning in for 450 iterations out of 500 -2 * Loglike = 9216.522216 Burning in for 500 iterations out of 500 -2 * Loglike = 9222.120004 Burning in for 300 iterations out of 500 -2 * Loglike = 9209.709202 Burning in for 300 iterations out of 500 -2 * Loglike = 9200.733163 Burning in for 500 iterations out of 500 -2 * Loglike = 9201.148603 -2 * Loglike = 9215.837665 -2 * Loglike = 9202.902457 Burning in for 350 iterations out of 500 -2 * Loglike = 9189.314825 Burning in for 350 iterations out of 500 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 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 = 9212.190791 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9211.953489 Burning in for 400 iterations out of 500 -2 * Loglike = 9210.065393 Burning in for 400 iterations out of 500 -2 * Loglike = 9196.808263 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9208.377297 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9189.156727 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9207.886882 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9213.270899 Burning in for 450 iterations out of 500 -2 * Loglike = 9201.240831 Burning in for 450 iterations out of 500 -2 * Loglike = 9208.899478 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9195.385976 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9215.653768 Burning in for 500 iterations out of 500 -2 * Loglike = 9204.605317 Burning in for 500 iterations out of 500 -2 * Loglike = 9191.635017 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9238.483062 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9201.279205 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9215.621742 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9204.115454 -2 * Loglike = 9205.650695 -2 * Loglike = 9205.716499 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9220.281051 Actual update 350 of 5000, Stored update 350 of 5000 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 = 9207.158850 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9215.304042 Actual update 400 of 5000, Stored update 400 of 5000 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 = 9210.248427 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9214.890801 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9211.426484 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9193.251090 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9228.495732 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9224.335795 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9221.683303 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9224.268752 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9199.987992 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9198.799074 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9202.166694 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9202.589985 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9192.092122 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9237.981658 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9217.924542 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9204.102958 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9201.878383 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9225.593562 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9208.559151 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9208.542998 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9198.726654 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9213.648448 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9214.104227 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9221.025874 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9204.413553 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9198.579514 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9227.156460 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9203.928314 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9204.652958 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9212.428999 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9197.279082 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9208.752577 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9191.816267 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9222.186272 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9208.585127 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9205.396874 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9219.178731 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9213.319899 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9216.935902 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9214.163387 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9231.834103 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9223.741372 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9206.033213 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9218.308723 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9195.828276 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9213.127568 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9188.214048 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9202.604628 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9202.177193 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9211.035687 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9188.278770 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9216.279711 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9197.193870 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9215.285002 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9208.819913 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9213.478807 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9193.939811 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9203.028947 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9198.177466 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9192.727608 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9193.651680 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9228.308587 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9196.046922 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9215.606479 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9192.249867 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9225.084081 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9195.925780 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9200.012106 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9203.221257 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9224.493065 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9218.422125 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9194.758430 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9202.244183 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9214.794631 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9188.863509 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9228.144914 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9204.907738 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9203.041639 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9221.116965 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9194.883902 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9215.281319 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9217.912243 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9214.140517 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9199.150201 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9208.641266 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9231.465362 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9211.397609 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9204.619839 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9201.489802 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9195.204182 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9207.941176 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9216.158993 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9195.266954 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9203.345896 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9196.692674 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9216.821254 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9222.603976 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9212.994917 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9209.099646 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9210.117979 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9217.019911 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9205.356036 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9215.286472 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9192.114800 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9226.820798 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9208.780187 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9199.573660 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9215.889068 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9212.555828 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9194.305711 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9214.394137 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9204.485567 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9198.974980 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9239.773102 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9211.297370 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9214.691676 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9207.058767 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9204.613020 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9220.424840 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9212.707453 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9226.133690 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9205.832435 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9195.326250 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9197.787494 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9201.412595 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9209.784406 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9211.051554 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9202.635017 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9205.740712 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9202.243753 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9208.160610 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9224.934371 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9211.914868 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9199.686027 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9192.633871 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9205.291307 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9213.435702 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9222.573230 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9199.001420 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9215.862131 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9214.099955 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9213.582699 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9218.156790 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9203.440604 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9222.213115 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9197.917390 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9216.004168 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9228.129572 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9210.119962 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9225.824248 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9210.342063 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9222.536523 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9222.623770 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9213.070127 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9195.549581 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9226.897380 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9222.209846 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9198.414226 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9217.234648 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9197.383677 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9206.060326 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9211.390320 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9211.806227 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9198.318630 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9213.603963 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9207.286579 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9197.638023 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9205.528701 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9217.534200 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9197.216009 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9202.379355 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9227.872396 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9206.138262 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9217.921427 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9216.644577 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9198.935844 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9189.073511 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9219.249197 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9203.578259 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9213.028813 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9209.768881 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9193.257434 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9204.566824 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9192.738284 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9198.810339 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9204.815469 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9203.448633 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9205.260076 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9208.635545 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9200.291358 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9212.704366 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9203.526438 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9225.161893 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9219.578031 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9224.027647 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9186.129983 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9186.474187 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9210.092157 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9214.657834 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9207.716548 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9201.784637 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9195.423341 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9213.144417 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9206.248565 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9203.962725 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9217.997575 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9219.725147 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9221.103720 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9190.546147 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9225.109666 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9211.861240 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9209.288321 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9212.724490 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9212.063094 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9211.904328 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9212.267938 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9210.761516 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9226.746381 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9223.058748 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9194.648832 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9206.893648 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9214.159422 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9198.054775 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9208.042101 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9195.049840 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9191.361316 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9204.966122 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9228.516251 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9203.875559 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9185.020836 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9190.735716 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9207.086769 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9199.652712 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9221.708398 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9206.324394 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9203.808438 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9203.701447 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9210.376876 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9205.512200 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9228.244909 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9192.747742 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9216.264655 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9201.017143 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9191.264804 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9208.750673 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9201.098674 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9211.234780 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9217.040436 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9209.774569 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9212.969987 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9211.765768 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9208.811215 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9197.541074 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9214.543462 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9200.968089 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9208.504279 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9216.500091 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9187.587677 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9229.231239 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9205.264187 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9211.461829 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9207.384781 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9207.636298 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9206.919224 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9200.327046 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9188.001440 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9197.507235 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9231.068743 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9207.836886 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9208.527365 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9208.445006 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9198.221864 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9214.700301 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9218.017798 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9231.667774 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9192.182015 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9231.720113 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9209.041996 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9201.470719 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9216.063459 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9213.497604 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9219.625871 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9208.425209 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9210.166699 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9212.367623 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9220.467826 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9216.996959 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9205.701131 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9200.358770 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9206.364287 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9225.405793 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9257.194444 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9203.040085 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9208.178207 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9201.746288 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9211.360067 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9208.216150 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9191.717666 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9212.656436 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9199.191002 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9217.250158 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9195.952868 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9202.976127 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9195.831784 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9205.845134 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9204.239398 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9218.846042 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9201.925078 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9212.453348 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9200.637551 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9194.223636 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9202.725373 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9207.805347 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9210.617870 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9219.146880 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9241.694771 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9219.997563 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9208.496500 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9215.841845 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9216.028873 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9198.847084 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9201.561854 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9212.109834 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9209.1 S.D. = 11.916 S.E.M. = 0.16852 ECHO 0 Execution completed -2 * Loglike = 9204.661285 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9208.494945 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9209.556744 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9202.001472 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9205.899950 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9195.339542 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9212.138475 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9193.782401 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9205.467869 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9225.827063 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9208.704966 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9193.584281 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9231.051021 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9208.9 S.D. = 11.965 S.E.M. = 0.16921 ECHO 0 Execution completed -2 * Loglike = 9211.972280 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9214.807017 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9226.847535 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9190.821237 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9218.677910 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9219.171539 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9208.428869 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9199.425383 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9200.985839 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9216.844055 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9216.507349 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9223.620521 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9185.466396 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9226.140355 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9212.550413 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9221.365302 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9216.204867 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9207.447260 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9216.152979 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9223.111260 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9190.602337 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9204.745394 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9205.869858 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9192.696656 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9205.874076 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9216.944129 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9219.038505 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9214.847221 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9193.691572 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9228.292624 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9217.473815 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9242.850710 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9216.478442 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9195.406259 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9203.793999 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9208.397974 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9228.250155 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9200.803309 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9203.297389 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9199.768306 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9209.754549 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9230.761641 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9216.845179 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9211.206432 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9219.880589 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9198.137286 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9209.635081 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9208.9 S.D. = 11.754 S.E.M. = 0.16623 ECHO 0 Execution completed -2 * Loglike = 9206.964668 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9208.598434 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9209.3 S.D. = 11.903 S.E.M. = 0.16833 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 : 14.97s Number of obs: 4059 (from total 4059) Number of iter.: 5000 Chains: 4 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 9209.034 9149.120 59.915 9268.949 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept 0.00407 0.04216 0.10 0.923 -0.07969 0.08818 825 standlrt 0.56320 0.01259 44.72 0 *** 0.53849 0.58803 16207 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 0.09690 0.02013 0.06434 0.14226 11456 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.56618 0.01250 0.54232 0.59091 19472 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > ctable <- round(as.data.frame(lapply(mymodel8@chains[, c(names(mymodel8@FP), names(mymodel8@RP))], colMeans)), 3) > colnames(ctable) <- c("Seed1", "Seed2", "Seed3", "Seed4") > print(ctable) Seed1 Seed2 Seed3 Seed4 FP_Intercept 0.003 0.005 0.001 0.007 FP_standlrt 0.563 0.563 0.563 0.563 RP2_var_Intercept 0.097 0.096 0.097 0.097 RP1_var_Intercept 0.566 0.566 0.566 0.566 > rm(list = "mymodel8") > > # 5.6 Improving the speed of MCMC Estimation . . . . . . . . . . . . . . .69 > > # Chapter learning outcomes . . . . . . . . . . . . . . . . . . . . . . . 70 > > > > > > ############################################################################ > > proc.time() user system elapsed 7.43 1.29 31.81