R version 4.3.2 (2023-10-31 ucrt) -- "Eye Holes" Copyright (C) 2023 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 (64-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. Natural language support but running in an English locale R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > ############################################################################ > # MLwiN MCMC Manual > # > # 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 v3.09/ 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: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: IGLS Elapsed time : 0.08s 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: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 1.44s 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: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 1.52s 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: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 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: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 1.52s 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: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 1.49s 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: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 0.24s 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=8680 on localhost:11440 at 11:28:33.433 starting worker pid=7616 on localhost:11440 at 11:28:33.425 starting worker pid=11708 on localhost:11440 at 11:28:33.402 starting worker pid=6932 on localhost:11440 at 11:28:33.421 Loading required package: R2MLwiN Loading required package: R2MLwiN Loading required package: R2MLwiN 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) 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) 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}, } To cite R2MLwiN in publications use: Zhengzheng Zhang, Richard M. A. Parker, Christopher M. J. Charlton, George Leckie, William J. Browne (2016). R2MLwiN: A Package to Run MLwiN from within R. Journal of Statistical Software, 72(10), 1-43. doi:10.18637/jss.v072.i10 A BibTeX entry for LaTeX users is @Article{, title = {{R2MLwiN}: A Package to Run {MLwiN} from within {R}}, author = {Zhengzheng Zhang and Richard M. A. Parker and Christopher M. J. Charlton and George Leckie and William J. Browne}, journal = {Journal of Statistical Software}, year = {2016}, volume = {72}, number = {10}, pages = {1--43}, doi = {10.18637/jss.v072.i10}, } The MLwiN_path option is currently set to C:/Program Files/MLwiN v3.09/ The MLwiN_path option is currently set to C:/Program Files/MLwiN v3.09/ To change this use: options(MLwiN_path="") To change this use: options(MLwiN_path="") loaded R2MLwiN and set parent environment loaded R2MLwiN and set parent environment R2MLwiN: A package to run models implemented in MLwiN from R Copyright 2013-2024 Zhengzheng Zhang, Christopher M. J. Charlton, Richard M. A. Parker, William J. Browne and George Leckie Support provided by the Economic and Social Research Council (ESRC) (Grants RES-149-25-1084, RES-576-25-0032 and ES/K007246/1) To cite R2MLwiN in publications use: Zhengzheng Zhang, Richard M. A. Parker, Christopher M. J. Charlton, George Leckie, William J. Browne (2016). R2MLwiN: A Package to Run MLwiN from within R. Journal of Statistical Software, 72(10), 1-43. doi:10.18637/jss.v072.i10 A BibTeX entry for LaTeX users is @Article{, title = {{R2MLwiN}: A Package to Run {MLwiN} from within {R}}, author = {Zhengzheng Zhang and Richard M. A. Parker and Christopher M. J. Charlton and George Leckie and William J. Browne}, journal = {Journal of Statistical Software}, year = {2016}, volume = {72}, number = {10}, pages = {1--43}, doi = {10.18637/jss.v072.i10}, } The MLwiN_path option is currently set to C:/Program Files/MLwiN v3.09/ To change this use: options(MLwiN_path="") loaded R2MLwiN and set parent environment To cite R2MLwiN in publications use: Zhengzheng Zhang, Richard M. A. Parker, Christopher M. J. Charlton, George Leckie, William J. Browne (2016). R2MLwiN: A Package to Run MLwiN from within R. Journal of Statistical Software, 72(10), 1-43. doi:10.18637/jss.v072.i10 A BibTeX entry for LaTeX users is @Article{, title = {{R2MLwiN}: A Package to Run {MLwiN} from within {R}}, author = {Zhengzheng Zhang and Richard M. A. Parker and Christopher M. J. Charlton and George Leckie and William J. Browne}, journal = {Journal of Statistical Software}, year = {2016}, volume = {72}, number = {10}, pages = {1--43}, doi = {10.18637/jss.v072.i10}, } The MLwiN_path option is currently set to C:/Program Files/MLwiN v3.09/ To change this use: options(MLwiN_path="") 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... 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 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 = 9200.609099 Burning in for 100 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 = 9216.262176 Burning in for 150 iterations out of 500 -2 * Loglike = 9200.366607 Burning in for 150 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 = 9241.057582 Burning in for 200 iterations out of 500 -2 * Loglike = 9209.601793 Burning in for 200 iterations out of 500 -2 * Loglike = 9209.632813 Burning in for 200 iterations out of 500 -2 * Loglike = 9200.368178 Burning in for 200 iterations out of 500 -2 * Loglike = 9214.675885 Burning in for 250 iterations out of 500 -2 * Loglike = 9191.581836 Burning in for 250 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 = 9198.255145 Burning in for 300 iterations out of 500 -2 * Loglike = 9212.840404 Burning in for 300 iterations out of 500 -2 * Loglike = 9209.709202 Burning in for 300 iterations out of 500 -2 * Loglike = 9222.120004 Burning in for 300 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 = 9189.314825 Burning in for 350 iterations out of 500 -2 * Loglike = 9202.902457 Burning in for 350 iterations out of 500 -2 * Loglike = 9222.091977 Burning in for 400 iterations out of 500 -2 * Loglike = 9226.679111 Burning in for 400 iterations out of 500 -2 * Loglike = 9210.065393 Burning in for 400 iterations out of 500 -2 * Loglike = 9211.953489 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 = 9201.240831 Burning in for 450 iterations out of 500 -2 * Loglike = 9213.270899 Burning in for 450 iterations out of 500 -2 * Loglike = 9216.522216 Burning in for 500 iterations out of 500 -2 * Loglike = 9200.733163 Burning in for 500 iterations out of 500 -2 * Loglike = 9204.605317 Burning in for 500 iterations out of 500 -2 * Loglike = 9215.653768 Burning in for 500 iterations out of 500 -2 * Loglike = 9201.148603 -2 * Loglike = 9215.837665 -2 * Loglike = 9205.650695 -2 * Loglike = 9204.115454 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 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 = 9211.426484 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 = 9196.808263 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9199.987992 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 = 9193.251090 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9192.092122 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 = 9189.156727 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 = 9225.593562 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 = 9208.899478 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9217.924542 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9221.025874 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 = 9191.635017 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 = 9205.716499 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9204.652958 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9201.279205 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 = 9207.158850 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9220.281051 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9208.585127 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9210.248427 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9212.428999 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9215.304042 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9223.741372 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9222.186272 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9228.495732 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9214.890801 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9202.604628 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9213.319899 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9221.683303 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9216.279711 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9231.834103 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9224.335795 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9203.028947 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 = 9195.828276 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9224.268752 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9196.046922 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 = 9202.177193 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9237.981658 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9200.012106 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9204.102958 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9197.193870 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 = 9214.794631 Actual update 750 of 5000, Stored update 750 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 = 9221.116965 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9198.177466 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9213.648448 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9192.249867 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9199.150201 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9214.104227 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9198.579514 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9203.221257 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9204.619839 Actual update 900 of 5000, Stored update 900 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 = 9203.345896 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9188.863509 Actual update 850 of 5000, Stored update 850 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 = 9212.994917 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9205.396874 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9215.281319 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 = 9192.114800 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9216.935902 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9208.641266 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 = 9194.305711 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9206.033213 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 = 9201.489802 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9211.297370 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9213.127568 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 = 9196.692674 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9212.707453 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9211.035687 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 = 9217.019911 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9209.784406 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9215.285002 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 = 9208.780187 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9213.478807 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9208.160610 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9208.819913 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9214.394137 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9192.727608 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9205.291307 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9193.939811 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9207.058767 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9228.308587 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9213.582699 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9193.651680 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9226.133690 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9225.084081 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9216.004168 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9215.606479 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9211.051554 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9224.493065 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9222.536523 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9195.925780 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9211.914868 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9194.758430 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 = 9222.573230 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9198.414226 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9228.144914 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 = 9218.156790 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9211.806227 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 = 9210.119962 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9205.528701 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 = 9213.070127 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9206.138262 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9194.883902 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9217.912243 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9217.234648 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9219.249197 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9231.465362 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 = 9204.566824 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9198.318630 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 = 9195.204182 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9203.448633 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9197.216009 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 = 9212.704366 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9216.644577 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9195.266954 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9216.158993 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9224.027647 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9209.768881 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9222.603976 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9216.821254 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9210.092157 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9198.810339 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9210.117979 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9209.099646 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9195.423341 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9208.635545 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9205.356036 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9219.725147 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9215.286472 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9225.161893 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9226.820798 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9211.861240 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9186.129983 Actual update 2050 of 5000, Stored update 2050 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 = 9211.904328 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9207.716548 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9212.555828 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9204.485567 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9223.058748 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9206.248565 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9198.974980 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9198.054775 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9239.773102 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9221.103720 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9214.691676 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9191.361316 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9204.613020 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9209.288321 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9220.424840 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9185.020836 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9205.832435 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9212.267938 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9195.326250 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9221.708398 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9197.787494 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9194.648832 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9201.412595 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9210.376876 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9202.635017 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9208.042101 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9205.740712 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9216.264655 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9202.243753 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9228.516251 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9224.934371 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9201.098674 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9199.686027 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9207.086769 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9192.633871 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9212.969987 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9213.435702 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9199.001420 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9203.808438 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9214.543462 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9215.862131 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9187.587677 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9203.440604 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9214.099955 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9228.244909 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9207.384781 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9197.917390 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9188.001440 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9222.213115 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9191.264804 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9225.824248 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9208.527365 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9222.623770 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9228.129572 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9217.040436 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9214.700301 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9226.897380 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9231.720113 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9197.383677 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9210.342063 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9208.811215 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9213.497604 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9211.390320 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9212.367623 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9195.549581 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9208.504279 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9207.286579 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9200.358770 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9217.534200 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9222.209846 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9205.264187 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9203.040085 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9227.872396 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9208.216150 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9206.060326 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9198.935844 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9206.919224 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9217.250158 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9203.578259 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9213.603963 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9231.068743 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9205.845134 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9193.257434 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9202.725373 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9204.815469 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9197.638023 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9198.221864 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9219.997563 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9200.291358 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9201.561854 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9192.182015 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9202.379355 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9219.578031 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9204.661285 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9216.063459 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9217.921427 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9202.001472 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9210.166699 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9214.657834 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9212.138475 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9205.701131 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 = 9205.467869 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9213.144417 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9257.194444 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9193.584281 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9213.028813 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9217.997575 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9211.360067 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9214.807017 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9225.109666 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9199.191002 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9192.738284 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9190.821237 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9205.260076 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9212.063094 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9219.171539 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9195.831784 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9203.526438 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9226.746381 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9199.425383 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9201.925078 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9186.474187 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9214.159422 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9194.223636 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9201.784637 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9216.844055 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9204.966122 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9210.617870 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9203.962725 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9190.735716 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9208.496500 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9223.620521 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9190.546147 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9206.324394 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9198.847084 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9226.140355 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9212.724490 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9205.512200 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9209.556744 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9221.365302 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9210.761516 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9201.017143 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9207.447260 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9206.893648 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9195.339542 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9211.234780 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9223.111260 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9195.049840 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9211.765768 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9193.782401 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9204.745394 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9203.875559 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9200.968089 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9225.827063 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9192.696656 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9199.652712 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9229.231239 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9208.704966 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9216.944129 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9203.701447 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9207.636298 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9211.972280 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9214.847221 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9192.747742 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9197.507235 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9226.847535 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9228.292624 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9208.750673 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9208.445006 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9218.677910 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9209.774569 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9242.850710 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9231.667774 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9208.428869 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9197.541074 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9195.406259 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9201.470719 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9200.985839 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9216.500091 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9208.397974 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9208.425209 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9216.507349 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9211.461829 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9228.250155 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9216.996959 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9185.466396 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9200.327046 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9203.297389 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9225.405793 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9212.550413 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9207.836886 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9209.754549 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9218.017798 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9216.204867 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9216.845179 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9201.746288 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9209.041996 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9216.152979 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9219.880589 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9212.656436 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9219.625871 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9190.602337 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9198.137286 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9202.976127 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9220.467826 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9205.869858 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9206.964668 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9218.846042 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9206.364287 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9205.874076 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9200.637551 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9208.178207 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9219.038505 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9219.146880 Actual update 4950 of 5000, Stored update 4950 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 -2 * Loglike = 9191.717666 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9215.841845 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9193.691572 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9195.952868 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9217.473815 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9204.239398 Actual update 4700 of 5000, Stored update 4700 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 = 9216.478442 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9212.453348 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9203.793999 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9207.805347 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9200.803309 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9241.694771 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9199.768306 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9216.028873 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9230.761641 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9208.494945 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9211.206432 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9205.899950 Actual update 5000 of 5000, Stored update 5000 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 = 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 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.09) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 7.29s 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 5.51 1.25 22.62