R version 3.6.3 (2020-02-29) -- "Holding the Windsock" Copyright (C) 2020 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 > # > # 10 Modelling Binary Responses . . . . . . . . . . . . . . . . . . . . 129 > # > # Browne, W.J. (2009) MCMC Estimation in MLwiN, v2.13. Centre for > # Multilevel Modelling, University of Bristol. > ############################################################################ > # R script to replicate all analyses using R2MLwiN > # > # Zhang, Z., Charlton, C., Parker, R, Leckie, G., and Browne, W.J. > # Centre for Multilevel Modelling, 2012 > # http://www.bristol.ac.uk/cmm/software/R2MLwiN/ > ############################################################################ > > library(R2MLwiN) R2MLwiN: A package to run models implemented in MLwiN from R Copyright 2013-2017 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 v3.05/ 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 bang1 data > data(bang1, package = "R2MLwiN") > > # 10.1 Simple logistic regression model . . . . . . . . . . . . . . . . .130 > > (mymodel1 <- runMLwiN(logit(use) ~ 1 + age, D = "Binomial", estoptions = list(EstM = 1), data = bang1)) 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 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2589.951603 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2590.870573 Adapting finished and took 300 iterations Adapting took 300 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2591.646899 Burning in for 100 iterations out of 500 -2 * Loglike = 2589.408544 Burning in for 150 iterations out of 500 -2 * Loglike = 2591.703242 Burning in for 200 iterations out of 500 -2 * Loglike = 2589.578707 Burning in for 250 iterations out of 500 -2 * Loglike = 2591.143776 Burning in for 300 iterations out of 500 -2 * Loglike = 2589.497722 Burning in for 350 iterations out of 500 -2 * Loglike = 2589.866468 Burning in for 400 iterations out of 500 -2 * Loglike = 2591.366495 Burning in for 450 iterations out of 500 -2 * Loglike = 2601.081625 Burning in for 500 iterations out of 500 -2 * Loglike = 2590.826384 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2593.768209 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2594.974846 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2592.681292 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2595.029755 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2589.956166 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2589.700843 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2590.249050 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2595.764631 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2594.215259 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2593.583255 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2589.738290 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2599.665863 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2590.851598 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2594.064439 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2590.602086 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2592.016924 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2590.673363 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2592.401756 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2592.806336 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2589.859640 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2589.674262 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2591.332550 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2590.929091 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2590.027123 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2590.651481 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2593.305020 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2590.219008 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2592.793939 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2590.448211 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2591.191911 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2591.086373 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2594.539469 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2591.927492 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2592.508995 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2589.905070 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2591.755927 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2591.259256 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2590.056615 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2591.229959 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2590.161462 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2589.898548 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2590.782298 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2591.749425 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2589.438829 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2589.692805 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2589.387252 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2591.241413 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2591.300298 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2594.469366 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2594.291484 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2591.115828 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2591.134031 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2590.254941 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2593.757296 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2589.491965 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2590.248874 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2592.171248 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2589.329180 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2590.887602 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2589.460348 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2590.804734 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2589.476827 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2589.524551 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2590.356007 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2590.321576 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2590.285680 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2591.197588 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2595.992028 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2589.900265 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2590.613041 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2592.566051 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2591.248283 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2590.675361 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2589.528497 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2593.472607 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2589.815054 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2591.423243 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2589.429422 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2590.500183 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2592.090979 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2592.064172 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2589.588351 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2591.532194 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2600.825764 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2592.877217 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2590.619297 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2592.853876 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2593.211902 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2589.607546 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2591.407865 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2590.268036 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2590.484512 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2589.891584 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2589.687159 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2591.627120 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2591.106576 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2591.048963 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2589.781838 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2591.584549 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2591.501194 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2591.3 S.D. = 1.9941 S.E.M. = 0.028200 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) Estimation algorithm: MCMC Elapsed time : 2s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2591.294 2589.293 2.001 2593.294 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + age Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.43858 0.04731 -9.27 1.863e-20 *** -0.53074 -0.34677 1100 age 0.00681 0.00509 1.34 0.1803 -0.00333 0.01649 1145 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > summary(mymodel1@chains[, "FP_age"]) Iterations = 1:5000 Thinning interval = 1 Number of chains = 1 Sample size per chain = 5000 1. Empirical mean and standard deviation for each variable, plus standard error of the mean: Mean SD Naive SE Time-series SE 6.814e-03 5.086e-03 7.193e-05 1.503e-04 2. Quantiles for each variable: 2.5% 25% 50% 75% 97.5% -0.003334 0.003406 0.006793 0.010430 0.016486 > sixway(mymodel1@chains[, "FP_age", drop = FALSE], "beta_1") > > ## 15,000 iterations > (mymodel2 <- runMLwiN(logit(use) ~ 1 + age, D = "Binomial", estoptions = list(EstM = 1, mcmcMeth = list(iterations = 15000)), + data = bang1)) 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 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2589.951603 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2590.870573 Adapting finished and took 300 iterations Adapting took 300 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2591.646899 Burning in for 100 iterations out of 500 -2 * Loglike = 2589.408544 Burning in for 150 iterations out of 500 -2 * Loglike = 2591.703242 Burning in for 200 iterations out of 500 -2 * Loglike = 2589.578707 Burning in for 250 iterations out of 500 -2 * Loglike = 2591.143776 Burning in for 300 iterations out of 500 -2 * Loglike = 2589.497722 Burning in for 350 iterations out of 500 -2 * Loglike = 2589.866468 Burning in for 400 iterations out of 500 -2 * Loglike = 2591.366495 Burning in for 450 iterations out of 500 -2 * Loglike = 2601.081625 Burning in for 500 iterations out of 500 -2 * Loglike = 2590.826384 ERAS c1090 c1091 MCMC 1 15000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 15000, Stored update 50 of 15000 -2 * Loglike = 2593.768209 Actual update 100 of 15000, Stored update 100 of 15000 -2 * Loglike = 2594.974846 Actual update 150 of 15000, Stored update 150 of 15000 -2 * Loglike = 2592.681292 Actual update 200 of 15000, Stored update 200 of 15000 -2 * Loglike = 2595.029755 Actual update 250 of 15000, Stored update 250 of 15000 -2 * Loglike = 2589.956166 Actual update 300 of 15000, Stored update 300 of 15000 -2 * Loglike = 2589.700843 Actual update 350 of 15000, Stored update 350 of 15000 -2 * Loglike = 2590.249050 Actual update 400 of 15000, Stored update 400 of 15000 -2 * Loglike = 2595.764631 Actual update 450 of 15000, Stored update 450 of 15000 -2 * Loglike = 2594.215259 Actual update 500 of 15000, Stored update 500 of 15000 -2 * Loglike = 2593.583255 Actual update 550 of 15000, Stored update 550 of 15000 -2 * Loglike = 2589.738290 Actual update 600 of 15000, Stored update 600 of 15000 -2 * Loglike = 2599.665863 Actual update 650 of 15000, Stored update 650 of 15000 -2 * Loglike = 2590.851598 Actual update 700 of 15000, Stored update 700 of 15000 -2 * Loglike = 2594.064439 Actual update 750 of 15000, Stored update 750 of 15000 -2 * Loglike = 2590.602086 Actual update 800 of 15000, Stored update 800 of 15000 -2 * Loglike = 2592.016924 Actual update 850 of 15000, Stored update 850 of 15000 -2 * Loglike = 2590.673363 Actual update 900 of 15000, Stored update 900 of 15000 -2 * Loglike = 2592.401756 Actual update 950 of 15000, Stored update 950 of 15000 -2 * Loglike = 2592.806336 Actual update 1000 of 15000, Stored update 1000 of 15000 -2 * Loglike = 2589.859640 Actual update 1050 of 15000, Stored update 1050 of 15000 -2 * Loglike = 2589.674262 Actual update 1100 of 15000, Stored update 1100 of 15000 -2 * Loglike = 2591.332550 Actual update 1150 of 15000, Stored update 1150 of 15000 -2 * Loglike = 2590.929091 Actual update 1200 of 15000, Stored update 1200 of 15000 -2 * Loglike = 2590.027123 Actual update 1250 of 15000, Stored update 1250 of 15000 -2 * Loglike = 2590.651481 Actual update 1300 of 15000, Stored update 1300 of 15000 -2 * Loglike = 2593.305020 Actual update 1350 of 15000, Stored update 1350 of 15000 -2 * Loglike = 2590.219008 Actual update 1400 of 15000, Stored update 1400 of 15000 -2 * Loglike = 2592.793939 Actual update 1450 of 15000, Stored update 1450 of 15000 -2 * Loglike = 2590.448211 Actual update 1500 of 15000, Stored update 1500 of 15000 -2 * Loglike = 2591.191911 Actual update 1550 of 15000, Stored update 1550 of 15000 -2 * Loglike = 2591.086373 Actual update 1600 of 15000, Stored update 1600 of 15000 -2 * Loglike = 2594.539469 Actual update 1650 of 15000, Stored update 1650 of 15000 -2 * Loglike = 2591.927492 Actual update 1700 of 15000, Stored update 1700 of 15000 -2 * Loglike = 2592.508995 Actual update 1750 of 15000, Stored update 1750 of 15000 -2 * Loglike = 2589.905070 Actual update 1800 of 15000, Stored update 1800 of 15000 -2 * Loglike = 2591.755927 Actual update 1850 of 15000, Stored update 1850 of 15000 -2 * Loglike = 2591.259256 Actual update 1900 of 15000, Stored update 1900 of 15000 -2 * Loglike = 2590.056615 Actual update 1950 of 15000, Stored update 1950 of 15000 -2 * Loglike = 2591.229959 Actual update 2000 of 15000, Stored update 2000 of 15000 -2 * Loglike = 2590.161462 Actual update 2050 of 15000, Stored update 2050 of 15000 -2 * Loglike = 2589.898548 Actual update 2100 of 15000, Stored update 2100 of 15000 -2 * Loglike = 2590.782298 Actual update 2150 of 15000, Stored update 2150 of 15000 -2 * Loglike = 2591.749425 Actual update 2200 of 15000, Stored update 2200 of 15000 -2 * Loglike = 2589.438829 Actual update 2250 of 15000, Stored update 2250 of 15000 -2 * Loglike = 2589.692805 Actual update 2300 of 15000, Stored update 2300 of 15000 -2 * Loglike = 2589.387252 Actual update 2350 of 15000, Stored update 2350 of 15000 -2 * Loglike = 2591.241413 Actual update 2400 of 15000, Stored update 2400 of 15000 -2 * Loglike = 2591.300298 Actual update 2450 of 15000, Stored update 2450 of 15000 -2 * Loglike = 2594.469366 Actual update 2500 of 15000, Stored update 2500 of 15000 -2 * Loglike = 2594.291484 Actual update 2550 of 15000, Stored update 2550 of 15000 -2 * Loglike = 2591.115828 Actual update 2600 of 15000, Stored update 2600 of 15000 -2 * Loglike = 2591.134031 Actual update 2650 of 15000, Stored update 2650 of 15000 -2 * Loglike = 2590.254941 Actual update 2700 of 15000, Stored update 2700 of 15000 -2 * Loglike = 2593.757296 Actual update 2750 of 15000, Stored update 2750 of 15000 -2 * Loglike = 2589.491965 Actual update 2800 of 15000, Stored update 2800 of 15000 -2 * Loglike = 2590.248874 Actual update 2850 of 15000, Stored update 2850 of 15000 -2 * Loglike = 2592.171248 Actual update 2900 of 15000, Stored update 2900 of 15000 -2 * Loglike = 2589.329180 Actual update 2950 of 15000, Stored update 2950 of 15000 -2 * Loglike = 2590.887602 Actual update 3000 of 15000, Stored update 3000 of 15000 -2 * Loglike = 2589.460348 Actual update 3050 of 15000, Stored update 3050 of 15000 -2 * Loglike = 2590.804734 Actual update 3100 of 15000, Stored update 3100 of 15000 -2 * Loglike = 2589.476827 Actual update 3150 of 15000, Stored update 3150 of 15000 -2 * Loglike = 2589.524551 Actual update 3200 of 15000, Stored update 3200 of 15000 -2 * Loglike = 2590.356007 Actual update 3250 of 15000, Stored update 3250 of 15000 -2 * Loglike = 2590.321576 Actual update 3300 of 15000, Stored update 3300 of 15000 -2 * Loglike = 2590.285680 Actual update 3350 of 15000, Stored update 3350 of 15000 -2 * Loglike = 2591.197588 Actual update 3400 of 15000, Stored update 3400 of 15000 -2 * Loglike = 2595.992028 Actual update 3450 of 15000, Stored update 3450 of 15000 -2 * Loglike = 2589.900265 Actual update 3500 of 15000, Stored update 3500 of 15000 -2 * Loglike = 2590.613041 Actual update 3550 of 15000, Stored update 3550 of 15000 -2 * Loglike = 2592.566051 Actual update 3600 of 15000, Stored update 3600 of 15000 -2 * Loglike = 2591.248283 Actual update 3650 of 15000, Stored update 3650 of 15000 -2 * Loglike = 2590.675361 Actual update 3700 of 15000, Stored update 3700 of 15000 -2 * Loglike = 2589.528497 Actual update 3750 of 15000, Stored update 3750 of 15000 -2 * Loglike = 2593.472607 Actual update 3800 of 15000, Stored update 3800 of 15000 -2 * Loglike = 2589.815054 Actual update 3850 of 15000, Stored update 3850 of 15000 -2 * Loglike = 2591.423243 Actual update 3900 of 15000, Stored update 3900 of 15000 -2 * Loglike = 2589.429422 Actual update 3950 of 15000, Stored update 3950 of 15000 -2 * Loglike = 2590.500183 Actual update 4000 of 15000, Stored update 4000 of 15000 -2 * Loglike = 2592.090979 Actual update 4050 of 15000, Stored update 4050 of 15000 -2 * Loglike = 2592.064172 Actual update 4100 of 15000, Stored update 4100 of 15000 -2 * Loglike = 2589.588351 Actual update 4150 of 15000, Stored update 4150 of 15000 -2 * Loglike = 2591.532194 Actual update 4200 of 15000, Stored update 4200 of 15000 -2 * Loglike = 2600.825764 Actual update 4250 of 15000, Stored update 4250 of 15000 -2 * Loglike = 2592.877217 Actual update 4300 of 15000, Stored update 4300 of 15000 -2 * Loglike = 2590.619297 Actual update 4350 of 15000, Stored update 4350 of 15000 -2 * Loglike = 2592.853876 Actual update 4400 of 15000, Stored update 4400 of 15000 -2 * Loglike = 2593.211902 Actual update 4450 of 15000, Stored update 4450 of 15000 -2 * Loglike = 2589.607546 Actual update 4500 of 15000, Stored update 4500 of 15000 -2 * Loglike = 2591.407865 Actual update 4550 of 15000, Stored update 4550 of 15000 -2 * Loglike = 2590.268036 Actual update 4600 of 15000, Stored update 4600 of 15000 -2 * Loglike = 2590.484512 Actual update 4650 of 15000, Stored update 4650 of 15000 -2 * Loglike = 2589.891584 Actual update 4700 of 15000, Stored update 4700 of 15000 -2 * Loglike = 2589.687159 Actual update 4750 of 15000, Stored update 4750 of 15000 -2 * Loglike = 2591.627120 Actual update 4800 of 15000, Stored update 4800 of 15000 -2 * Loglike = 2591.106576 Actual update 4850 of 15000, Stored update 4850 of 15000 -2 * Loglike = 2591.048963 Actual update 4900 of 15000, Stored update 4900 of 15000 -2 * Loglike = 2589.781838 Actual update 4950 of 15000, Stored update 4950 of 15000 -2 * Loglike = 2591.584549 Actual update 5000 of 15000, Stored update 5000 of 15000 -2 * Loglike = 2591.501194 Actual update 5050 of 15000, Stored update 5050 of 15000 -2 * Loglike = 2590.326785 Actual update 5100 of 15000, Stored update 5100 of 15000 -2 * Loglike = 2589.897769 Actual update 5150 of 15000, Stored update 5150 of 15000 -2 * Loglike = 2589.727437 Actual update 5200 of 15000, Stored update 5200 of 15000 -2 * Loglike = 2590.311384 Actual update 5250 of 15000, Stored update 5250 of 15000 -2 * Loglike = 2590.833062 Actual update 5300 of 15000, Stored update 5300 of 15000 -2 * Loglike = 2591.147899 Actual update 5350 of 15000, Stored update 5350 of 15000 -2 * Loglike = 2590.559319 Actual update 5400 of 15000, Stored update 5400 of 15000 -2 * Loglike = 2592.140640 Actual update 5450 of 15000, Stored update 5450 of 15000 -2 * Loglike = 2592.315305 Actual update 5500 of 15000, Stored update 5500 of 15000 -2 * Loglike = 2590.500863 Actual update 5550 of 15000, Stored update 5550 of 15000 -2 * Loglike = 2590.371565 Actual update 5600 of 15000, Stored update 5600 of 15000 -2 * Loglike = 2589.953330 Actual update 5650 of 15000, Stored update 5650 of 15000 -2 * Loglike = 2589.371833 Actual update 5700 of 15000, Stored update 5700 of 15000 -2 * Loglike = 2590.840891 Actual update 5750 of 15000, Stored update 5750 of 15000 -2 * Loglike = 2591.173621 Actual update 5800 of 15000, Stored update 5800 of 15000 -2 * Loglike = 2591.778510 Actual update 5850 of 15000, Stored update 5850 of 15000 -2 * Loglike = 2589.685790 Actual update 5900 of 15000, Stored update 5900 of 15000 -2 * Loglike = 2591.110700 Actual update 5950 of 15000, Stored update 5950 of 15000 -2 * Loglike = 2589.658122 Actual update 6000 of 15000, Stored update 6000 of 15000 -2 * Loglike = 2590.781574 Actual update 6050 of 15000, Stored update 6050 of 15000 -2 * Loglike = 2592.308886 Actual update 6100 of 15000, Stored update 6100 of 15000 -2 * Loglike = 2590.040881 Actual update 6150 of 15000, Stored update 6150 of 15000 -2 * Loglike = 2594.451545 Actual update 6200 of 15000, Stored update 6200 of 15000 -2 * Loglike = 2589.759446 Actual update 6250 of 15000, Stored update 6250 of 15000 -2 * Loglike = 2594.234311 Actual update 6300 of 15000, Stored update 6300 of 15000 -2 * Loglike = 2589.918111 Actual update 6350 of 15000, Stored update 6350 of 15000 -2 * Loglike = 2589.403790 Actual update 6400 of 15000, Stored update 6400 of 15000 -2 * Loglike = 2590.888412 Actual update 6450 of 15000, Stored update 6450 of 15000 -2 * Loglike = 2591.630759 Actual update 6500 of 15000, Stored update 6500 of 15000 -2 * Loglike = 2590.121933 Actual update 6550 of 15000, Stored update 6550 of 15000 -2 * Loglike = 2590.775539 Actual update 6600 of 15000, Stored update 6600 of 15000 -2 * Loglike = 2589.366354 Actual update 6650 of 15000, Stored update 6650 of 15000 -2 * Loglike = 2594.896814 Actual update 6700 of 15000, Stored update 6700 of 15000 -2 * Loglike = 2589.432262 Actual update 6750 of 15000, Stored update 6750 of 15000 -2 * Loglike = 2590.144790 Actual update 6800 of 15000, Stored update 6800 of 15000 -2 * Loglike = 2591.888364 Actual update 6850 of 15000, Stored update 6850 of 15000 -2 * Loglike = 2590.653521 Actual update 6900 of 15000, Stored update 6900 of 15000 -2 * Loglike = 2590.598193 Actual update 6950 of 15000, Stored update 6950 of 15000 -2 * Loglike = 2591.533812 Actual update 7000 of 15000, Stored update 7000 of 15000 -2 * Loglike = 2590.117119 Actual update 7050 of 15000, Stored update 7050 of 15000 -2 * Loglike = 2591.710367 Actual update 7100 of 15000, Stored update 7100 of 15000 -2 * Loglike = 2590.445705 Actual update 7150 of 15000, Stored update 7150 of 15000 -2 * Loglike = 2590.902012 Actual update 7200 of 15000, Stored update 7200 of 15000 -2 * Loglike = 2590.494178 Actual update 7250 of 15000, Stored update 7250 of 15000 -2 * Loglike = 2590.129225 Actual update 7300 of 15000, Stored update 7300 of 15000 -2 * Loglike = 2589.684554 Actual update 7350 of 15000, Stored update 7350 of 15000 -2 * Loglike = 2591.503688 Actual update 7400 of 15000, Stored update 7400 of 15000 -2 * Loglike = 2590.659162 Actual update 7450 of 15000, Stored update 7450 of 15000 -2 * Loglike = 2592.280975 Actual update 7500 of 15000, Stored update 7500 of 15000 -2 * Loglike = 2595.077884 Actual update 7550 of 15000, Stored update 7550 of 15000 -2 * Loglike = 2589.611580 Actual update 7600 of 15000, Stored update 7600 of 15000 -2 * Loglike = 2589.480002 Actual update 7650 of 15000, Stored update 7650 of 15000 -2 * Loglike = 2593.226368 Actual update 7700 of 15000, Stored update 7700 of 15000 -2 * Loglike = 2589.463220 Actual update 7750 of 15000, Stored update 7750 of 15000 -2 * Loglike = 2591.377009 Actual update 7800 of 15000, Stored update 7800 of 15000 -2 * Loglike = 2590.387892 Actual update 7850 of 15000, Stored update 7850 of 15000 -2 * Loglike = 2589.653876 Actual update 7900 of 15000, Stored update 7900 of 15000 -2 * Loglike = 2589.291884 Actual update 7950 of 15000, Stored update 7950 of 15000 -2 * Loglike = 2590.746536 Actual update 8000 of 15000, Stored update 8000 of 15000 -2 * Loglike = 2590.979617 Actual update 8050 of 15000, Stored update 8050 of 15000 -2 * Loglike = 2589.303303 Actual update 8100 of 15000, Stored update 8100 of 15000 -2 * Loglike = 2590.554749 Actual update 8150 of 15000, Stored update 8150 of 15000 -2 * Loglike = 2590.628758 Actual update 8200 of 15000, Stored update 8200 of 15000 -2 * Loglike = 2596.773838 Actual update 8250 of 15000, Stored update 8250 of 15000 -2 * Loglike = 2589.303772 Actual update 8300 of 15000, Stored update 8300 of 15000 -2 * Loglike = 2592.394990 Actual update 8350 of 15000, Stored update 8350 of 15000 -2 * Loglike = 2592.821110 Actual update 8400 of 15000, Stored update 8400 of 15000 -2 * Loglike = 2590.453836 Actual update 8450 of 15000, Stored update 8450 of 15000 -2 * Loglike = 2590.332968 Actual update 8500 of 15000, Stored update 8500 of 15000 -2 * Loglike = 2589.486810 Actual update 8550 of 15000, Stored update 8550 of 15000 -2 * Loglike = 2589.436534 Actual update 8600 of 15000, Stored update 8600 of 15000 -2 * Loglike = 2592.348255 Actual update 8650 of 15000, Stored update 8650 of 15000 -2 * Loglike = 2589.373805 Actual update 8700 of 15000, Stored update 8700 of 15000 -2 * Loglike = 2591.105508 Actual update 8750 of 15000, Stored update 8750 of 15000 -2 * Loglike = 2589.491970 Actual update 8800 of 15000, Stored update 8800 of 15000 -2 * Loglike = 2590.586307 Actual update 8850 of 15000, Stored update 8850 of 15000 -2 * Loglike = 2589.485480 Actual update 8900 of 15000, Stored update 8900 of 15000 -2 * Loglike = 2591.251231 Actual update 8950 of 15000, Stored update 8950 of 15000 -2 * Loglike = 2591.029715 Actual update 9000 of 15000, Stored update 9000 of 15000 -2 * Loglike = 2592.617251 Actual update 9050 of 15000, Stored update 9050 of 15000 -2 * Loglike = 2589.808902 Actual update 9100 of 15000, Stored update 9100 of 15000 -2 * Loglike = 2589.481561 Actual update 9150 of 15000, Stored update 9150 of 15000 -2 * Loglike = 2591.114245 Actual update 9200 of 15000, Stored update 9200 of 15000 -2 * Loglike = 2592.462257 Actual update 9250 of 15000, Stored update 9250 of 15000 -2 * Loglike = 2590.989261 Actual update 9300 of 15000, Stored update 9300 of 15000 -2 * Loglike = 2590.869022 Actual update 9350 of 15000, Stored update 9350 of 15000 -2 * Loglike = 2590.313826 Actual update 9400 of 15000, Stored update 9400 of 15000 -2 * Loglike = 2590.057443 Actual update 9450 of 15000, Stored update 9450 of 15000 -2 * Loglike = 2591.381670 Actual update 9500 of 15000, Stored update 9500 of 15000 -2 * Loglike = 2591.974644 Actual update 9550 of 15000, Stored update 9550 of 15000 -2 * Loglike = 2590.204999 Actual update 9600 of 15000, Stored update 9600 of 15000 -2 * Loglike = 2589.944681 Actual update 9650 of 15000, Stored update 9650 of 15000 -2 * Loglike = 2596.782511 Actual update 9700 of 15000, Stored update 9700 of 15000 -2 * Loglike = 2592.435815 Actual update 9750 of 15000, Stored update 9750 of 15000 -2 * Loglike = 2590.559156 Actual update 9800 of 15000, Stored update 9800 of 15000 -2 * Loglike = 2589.499589 Actual update 9850 of 15000, Stored update 9850 of 15000 -2 * Loglike = 2589.445607 Actual update 9900 of 15000, Stored update 9900 of 15000 -2 * Loglike = 2596.932187 Actual update 9950 of 15000, Stored update 9950 of 15000 -2 * Loglike = 2589.356364 Actual update 10000 of 15000, Stored update 10000 of 15000 -2 * Loglike = 2590.103185 Actual update 10050 of 15000, Stored update 10050 of 15000 -2 * Loglike = 2590.698784 Actual update 10100 of 15000, Stored update 10100 of 15000 -2 * Loglike = 2589.407493 Actual update 10150 of 15000, Stored update 10150 of 15000 -2 * Loglike = 2590.073081 Actual update 10200 of 15000, Stored update 10200 of 15000 -2 * Loglike = 2590.501938 Actual update 10250 of 15000, Stored update 10250 of 15000 -2 * Loglike = 2592.166202 Actual update 10300 of 15000, Stored update 10300 of 15000 -2 * Loglike = 2589.526353 Actual update 10350 of 15000, Stored update 10350 of 15000 -2 * Loglike = 2589.828928 Actual update 10400 of 15000, Stored update 10400 of 15000 -2 * Loglike = 2591.321502 Actual update 10450 of 15000, Stored update 10450 of 15000 -2 * Loglike = 2591.509723 Actual update 10500 of 15000, Stored update 10500 of 15000 -2 * Loglike = 2593.475855 Actual update 10550 of 15000, Stored update 10550 of 15000 -2 * Loglike = 2589.427423 Actual update 10600 of 15000, Stored update 10600 of 15000 -2 * Loglike = 2590.048312 Actual update 10650 of 15000, Stored update 10650 of 15000 -2 * Loglike = 2592.504689 Actual update 10700 of 15000, Stored update 10700 of 15000 -2 * Loglike = 2593.343214 Actual update 10750 of 15000, Stored update 10750 of 15000 -2 * Loglike = 2591.736323 Actual update 10800 of 15000, Stored update 10800 of 15000 -2 * Loglike = 2591.644299 Actual update 10850 of 15000, Stored update 10850 of 15000 -2 * Loglike = 2590.167835 Actual update 10900 of 15000, Stored update 10900 of 15000 -2 * Loglike = 2590.091200 Actual update 10950 of 15000, Stored update 10950 of 15000 -2 * Loglike = 2590.089911 Actual update 11000 of 15000, Stored update 11000 of 15000 -2 * Loglike = 2589.850856 Actual update 11050 of 15000, Stored update 11050 of 15000 -2 * Loglike = 2590.095667 Actual update 11100 of 15000, Stored update 11100 of 15000 -2 * Loglike = 2589.399195 Actual update 11150 of 15000, Stored update 11150 of 15000 -2 * Loglike = 2590.933732 Actual update 11200 of 15000, Stored update 11200 of 15000 -2 * Loglike = 2590.613510 Actual update 11250 of 15000, Stored update 11250 of 15000 -2 * Loglike = 2590.333869 Actual update 11300 of 15000, Stored update 11300 of 15000 -2 * Loglike = 2590.055213 Actual update 11350 of 15000, Stored update 11350 of 15000 -2 * Loglike = 2590.012338 Actual update 11400 of 15000, Stored update 11400 of 15000 -2 * Loglike = 2589.824617 Actual update 11450 of 15000, Stored update 11450 of 15000 -2 * Loglike = 2590.577698 Actual update 11500 of 15000, Stored update 11500 of 15000 -2 * Loglike = 2590.792105 Actual update 11550 of 15000, Stored update 11550 of 15000 -2 * Loglike = 2589.720343 Actual update 11600 of 15000, Stored update 11600 of 15000 -2 * Loglike = 2591.559781 Actual update 11650 of 15000, Stored update 11650 of 15000 -2 * Loglike = 2589.303467 Actual update 11700 of 15000, Stored update 11700 of 15000 -2 * Loglike = 2589.641581 Actual update 11750 of 15000, Stored update 11750 of 15000 -2 * Loglike = 2593.095896 Actual update 11800 of 15000, Stored update 11800 of 15000 -2 * Loglike = 2589.635515 Actual update 11850 of 15000, Stored update 11850 of 15000 -2 * Loglike = 2589.850313 Actual update 11900 of 15000, Stored update 11900 of 15000 -2 * Loglike = 2598.108508 Actual update 11950 of 15000, Stored update 11950 of 15000 -2 * Loglike = 2589.598688 Actual update 12000 of 15000, Stored update 12000 of 15000 -2 * Loglike = 2592.069221 Actual update 12050 of 15000, Stored update 12050 of 15000 -2 * Loglike = 2591.594538 Actual update 12100 of 15000, Stored update 12100 of 15000 -2 * Loglike = 2594.082492 Actual update 12150 of 15000, Stored update 12150 of 15000 -2 * Loglike = 2593.284010 Actual update 12200 of 15000, Stored update 12200 of 15000 -2 * Loglike = 2590.571265 Actual update 12250 of 15000, Stored update 12250 of 15000 -2 * Loglike = 2591.197795 Actual update 12300 of 15000, Stored update 12300 of 15000 -2 * Loglike = 2590.892149 Actual update 12350 of 15000, Stored update 12350 of 15000 -2 * Loglike = 2589.950196 Actual update 12400 of 15000, Stored update 12400 of 15000 -2 * Loglike = 2589.446674 Actual update 12450 of 15000, Stored update 12450 of 15000 -2 * Loglike = 2589.668784 Actual update 12500 of 15000, Stored update 12500 of 15000 -2 * Loglike = 2595.134181 Actual update 12550 of 15000, Stored update 12550 of 15000 -2 * Loglike = 2596.827360 Actual update 12600 of 15000, Stored update 12600 of 15000 -2 * Loglike = 2597.436190 Actual update 12650 of 15000, Stored update 12650 of 15000 -2 * Loglike = 2590.581883 Actual update 12700 of 15000, Stored update 12700 of 15000 -2 * Loglike = 2591.761127 Actual update 12750 of 15000, Stored update 12750 of 15000 -2 * Loglike = 2592.511492 Actual update 12800 of 15000, Stored update 12800 of 15000 -2 * Loglike = 2591.970981 Actual update 12850 of 15000, Stored update 12850 of 15000 -2 * Loglike = 2590.205208 Actual update 12900 of 15000, Stored update 12900 of 15000 -2 * Loglike = 2589.815426 Actual update 12950 of 15000, Stored update 12950 of 15000 -2 * Loglike = 2590.527739 Actual update 13000 of 15000, Stored update 13000 of 15000 -2 * Loglike = 2589.375354 Actual update 13050 of 15000, Stored update 13050 of 15000 -2 * Loglike = 2592.161721 Actual update 13100 of 15000, Stored update 13100 of 15000 -2 * Loglike = 2590.165646 Actual update 13150 of 15000, Stored update 13150 of 15000 -2 * Loglike = 2592.615933 Actual update 13200 of 15000, Stored update 13200 of 15000 -2 * Loglike = 2592.661689 Actual update 13250 of 15000, Stored update 13250 of 15000 -2 * Loglike = 2592.934058 Actual update 13300 of 15000, Stored update 13300 of 15000 -2 * Loglike = 2591.331196 Actual update 13350 of 15000, Stored update 13350 of 15000 -2 * Loglike = 2589.348267 Actual update 13400 of 15000, Stored update 13400 of 15000 -2 * Loglike = 2589.710108 Actual update 13450 of 15000, Stored update 13450 of 15000 -2 * Loglike = 2591.526088 Actual update 13500 of 15000, Stored update 13500 of 15000 -2 * Loglike = 2589.427714 Actual update 13550 of 15000, Stored update 13550 of 15000 -2 * Loglike = 2593.175138 Actual update 13600 of 15000, Stored update 13600 of 15000 -2 * Loglike = 2590.952247 Actual update 13650 of 15000, Stored update 13650 of 15000 -2 * Loglike = 2590.174863 Actual update 13700 of 15000, Stored update 13700 of 15000 -2 * Loglike = 2591.311362 Actual update 13750 of 15000, Stored update 13750 of 15000 -2 * Loglike = 2591.774428 Actual update 13800 of 15000, Stored update 13800 of 15000 -2 * Loglike = 2589.721112 Actual update 13850 of 15000, Stored update 13850 of 15000 -2 * Loglike = 2595.389233 Actual update 13900 of 15000, Stored update 13900 of 15000 -2 * Loglike = 2589.749576 Actual update 13950 of 15000, Stored update 13950 of 15000 -2 * Loglike = 2594.321777 Actual update 14000 of 15000, Stored update 14000 of 15000 -2 * Loglike = 2590.834873 Actual update 14050 of 15000, Stored update 14050 of 15000 -2 * Loglike = 2590.539435 Actual update 14100 of 15000, Stored update 14100 of 15000 -2 * Loglike = 2589.407257 Actual update 14150 of 15000, Stored update 14150 of 15000 -2 * Loglike = 2593.058782 Actual update 14200 of 15000, Stored update 14200 of 15000 -2 * Loglike = 2591.064583 Actual update 14250 of 15000, Stored update 14250 of 15000 -2 * Loglike = 2591.425419 Actual update 14300 of 15000, Stored update 14300 of 15000 -2 * Loglike = 2589.399230 Actual update 14350 of 15000, Stored update 14350 of 15000 -2 * Loglike = 2594.494608 Actual update 14400 of 15000, Stored update 14400 of 15000 -2 * Loglike = 2590.053985 Actual update 14450 of 15000, Stored update 14450 of 15000 -2 * Loglike = 2592.194388 Actual update 14500 of 15000, Stored update 14500 of 15000 -2 * Loglike = 2590.062828 Actual update 14550 of 15000, Stored update 14550 of 15000 -2 * Loglike = 2589.740512 Actual update 14600 of 15000, Stored update 14600 of 15000 -2 * Loglike = 2590.109076 Actual update 14650 of 15000, Stored update 14650 of 15000 -2 * Loglike = 2592.027349 Actual update 14700 of 15000, Stored update 14700 of 15000 -2 * Loglike = 2589.953809 Actual update 14750 of 15000, Stored update 14750 of 15000 -2 * Loglike = 2589.698469 Actual update 14800 of 15000, Stored update 14800 of 15000 -2 * Loglike = 2590.715286 Actual update 14850 of 15000, Stored update 14850 of 15000 -2 * Loglike = 2590.430721 Actual update 14900 of 15000, Stored update 14900 of 15000 -2 * Loglike = 2589.878858 Actual update 14950 of 15000, Stored update 14950 of 15000 -2 * Loglike = 2593.092206 Actual update 15000 of 15000, Stored update 15000 of 15000 -2 * Loglike = 2589.782512 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 15000 Average = 2591.3 S.D. = 2.0089 S.E.M. = 0.016403 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) Estimation algorithm: MCMC Elapsed time : 5.36s Number of obs: 1934 (from total 1934) Number of iter.: 15000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2591.304 2589.291 2.013 2593.317 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + age Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.43823 0.04679 -9.37 7.521e-21 *** -0.53056 -0.34731 3424 age 0.00652 0.00518 1.26 0.208 -0.00361 0.01655 3369 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 15000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > sixway(mymodel1@chains[, "FP_age", drop = FALSE], "beta_1") > > ## Change to 5000 iterations by default > (mymodel3 <- runMLwiN(logit(use) ~ 1 + age + lc, D = "Binomial", estoptions = list(EstM = 1), data = bang1)) 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 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2522.069466 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2522.416460 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2516.684417 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2516.993245 Adapting for 500 iterations (Maximum 5000) -2 * Loglike = 2520.230429 Adapting for 600 iterations (Maximum 5000) -2 * Loglike = 2528.418285 Adapting finished and took 700 iterations Adapting took 700 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2521.350620 Burning in for 100 iterations out of 500 -2 * Loglike = 2518.991520 Burning in for 150 iterations out of 500 -2 * Loglike = 2524.139464 Burning in for 200 iterations out of 500 -2 * Loglike = 2525.128730 Burning in for 250 iterations out of 500 -2 * Loglike = 2516.385636 Burning in for 300 iterations out of 500 -2 * Loglike = 2516.604872 Burning in for 350 iterations out of 500 -2 * Loglike = 2530.633208 Burning in for 400 iterations out of 500 -2 * Loglike = 2516.194512 Burning in for 450 iterations out of 500 -2 * Loglike = 2524.627148 Burning in for 500 iterations out of 500 -2 * Loglike = 2517.921333 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2517.401170 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2525.361644 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2520.392425 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2521.902030 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2518.220252 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2519.581058 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2525.294267 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2517.778515 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2517.632855 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2521.018024 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2519.540300 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2516.453744 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2521.561308 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2517.890592 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2519.995611 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2520.161853 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2519.224471 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2517.684330 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2518.299710 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2521.386532 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2521.072426 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2517.876939 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2518.512926 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2516.180191 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2525.409675 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2517.904756 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2521.041903 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2519.126984 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2520.863607 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2521.189684 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2522.049213 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2518.557101 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2516.570475 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2519.959927 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2521.054060 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2520.245956 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2518.709562 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2521.032966 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2518.113473 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2517.094458 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2516.180995 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2520.713002 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2517.333332 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2522.129678 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2516.624761 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2517.451814 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2519.453340 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2518.114356 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2518.968311 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2522.267346 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2518.446068 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2518.022467 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2515.718454 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2515.277034 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2520.268438 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2517.721614 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2522.080543 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2522.349438 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2517.359523 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2518.820491 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2516.502575 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2521.059309 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2516.714517 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2522.094055 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2520.872935 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2526.970300 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2520.461122 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2519.238450 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2518.300191 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2519.006096 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2518.087775 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2517.974317 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2519.610732 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2517.409179 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2520.271533 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2517.897440 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2518.702722 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2517.171242 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2524.330213 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2517.137911 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2520.257549 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2524.333539 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2519.940271 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2531.771361 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2517.079348 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2516.620876 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2525.270454 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2521.067912 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2520.960184 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2521.194420 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2523.615242 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2521.373627 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2524.623101 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2517.160253 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2523.183178 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2518.667417 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2517.814486 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2517.635186 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2521.990584 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2523.208024 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2520.0 S.D. = 3.0513 S.E.M. = 0.043152 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) Estimation algorithm: MCMC Elapsed time : 3.53s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2519.985 2515.101 4.884 2524.869 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + age + lc Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -1.25731 0.11725 -10.72 7.938e-27 *** -1.50365 -1.04494 88 age -0.02167 0.00730 -2.97 0.00299 ** -0.03688 -0.00758 204 lcOne_child 1.02331 0.15568 6.57 4.92e-11 *** 0.73013 1.34527 200 lcTwo_children 1.17855 0.16265 7.25 4.295e-13 *** 0.86548 1.49371 181 lcThree_plus 1.10458 0.17117 6.45 1.095e-10 *** 0.78861 1.45592 98 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > # 10.2 Random effects logistic regression model . . . . . . . . . . . . .136 > > (mymodel4 <- runMLwiN(logit(use) ~ 1 + age + lc + (1 | district), D = "Binomial", estoptions = list(EstM = 1), + data = bang1)) 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 iteration 4 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2425.393650 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2382.487828 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2385.557160 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2389.249434 Adapting for 500 iterations (Maximum 5000) -2 * Loglike = 2396.753912 Adapting for 600 iterations (Maximum 5000) -2 * Loglike = 2385.561122 Adapting finished and took 700 iterations Adapting took 700 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2402.539335 Burning in for 100 iterations out of 500 -2 * Loglike = 2413.603520 Burning in for 150 iterations out of 500 -2 * Loglike = 2393.031520 Burning in for 200 iterations out of 500 -2 * Loglike = 2411.577557 Burning in for 250 iterations out of 500 -2 * Loglike = 2416.661355 Burning in for 300 iterations out of 500 -2 * Loglike = 2377.030943 Burning in for 350 iterations out of 500 -2 * Loglike = 2380.359391 Burning in for 400 iterations out of 500 -2 * Loglike = 2388.282301 Burning in for 450 iterations out of 500 -2 * Loglike = 2406.932703 Burning in for 500 iterations out of 500 -2 * Loglike = 2388.040523 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2395.795242 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2410.259815 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2397.353754 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2383.547656 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2398.307375 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2391.261502 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2394.333095 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2409.432187 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2395.920531 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2403.578419 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2391.197819 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2411.415609 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2379.272397 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2393.595826 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2389.566807 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2413.418452 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2398.730325 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2404.781112 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2404.850386 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2385.810316 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2403.141197 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2388.187915 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2380.372359 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2408.316577 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2391.864286 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2381.926430 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2388.402731 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2391.308915 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2391.716238 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2390.258494 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2390.749927 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2413.148994 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2402.183476 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2415.614471 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2416.888603 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2382.985020 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2393.185077 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2374.576564 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2404.691488 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2410.193762 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2390.184006 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2399.416844 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2387.247023 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2395.218179 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2394.747352 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2433.881448 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2395.719907 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2392.773726 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2393.511973 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2414.345850 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2411.803190 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2401.863667 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2380.683013 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2423.940940 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2397.428829 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2388.617785 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2397.795467 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2405.824001 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2383.762395 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2415.448866 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2410.589817 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2397.868309 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2408.208274 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2400.947262 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2388.401979 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2399.971499 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2419.483230 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2399.387849 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2390.199828 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2417.038566 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2412.494838 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2416.222045 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2395.476729 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2407.427802 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2420.462965 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2395.413847 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2384.401094 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2408.069542 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2408.149426 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2412.126517 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2378.747377 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2395.599606 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2382.440217 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2420.537137 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2403.850680 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2384.376380 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2395.193846 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2397.137560 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2402.189229 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2402.031171 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2411.518564 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2391.615160 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2394.210370 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2396.921396 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2401.349428 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2397.099835 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2398.618286 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2384.476338 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2392.363952 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2412.052484 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2396.3 S.D. = 11.747 S.E.M. = 0.16613 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) N min mean max N_complete min_complete mean_complete max_complete district 60 2 32.23333 118 60 2 32.23333 118 Estimation algorithm: MCMC Elapsed time : 4.86s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2396.324 2355.120 41.204 2437.528 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + age + lc + (1 | district) Level 2: district Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -1.48934 0.13771 -10.82 2.919e-27 *** -1.76712 -1.22862 94 age -0.02604 0.00773 -3.37 0.0007579 *** -0.04114 -0.01136 287 lcOne_child 1.11009 0.15247 7.28 3.317e-13 *** 0.81361 1.41775 273 lcTwo_children 1.32959 0.16892 7.87 3.511e-15 *** 1.00613 1.66664 164 lcThree_plus 1.30533 0.16875 7.74 1.03e-14 *** 0.98436 1.62393 127 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the district level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.30225 0.09800 0.15032 0.53346 456 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > summary(mymodel4@chains[, "RP2_var_Intercept"]) Iterations = 1:5000 Thinning interval = 1 Number of chains = 1 Sample size per chain = 5000 1. Empirical mean and standard deviation for each variable, plus standard error of the mean: Mean SD Naive SE Time-series SE 0.302251 0.097995 0.001386 0.004590 2. Quantiles for each variable: 2.5% 25% 50% 75% 97.5% 0.1503 0.2308 0.2894 0.3595 0.5335 > sixway(mymodel4@chains[, "RP2_var_Intercept", drop = FALSE], "sigma2u0") > > # 10.3 Random coefficients for area type . . . . . . . . . . . . . . . . 139 > > (mymodel5 <- runMLwiN(logit(use) ~ 1 + age + lc + urban + (1 | district), D = "Binomial", estoptions = list(EstM = 1), + data = bang1)) 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 iteration 4 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2386.517555 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2376.620871 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2369.470856 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2400.188422 Adapting for 500 iterations (Maximum 5000) -2 * Loglike = 2350.717855 Adapting for 600 iterations (Maximum 5000) -2 * Loglike = 2373.762793 Adapting for 700 iterations (Maximum 5000) -2 * Loglike = 2365.344941 Adapting for 800 iterations (Maximum 5000) -2 * Loglike = 2352.533671 Adapting for 900 iterations (Maximum 5000) -2 * Loglike = 2361.405893 Adapting finished and took 1000 iterations Adapting took 1000 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2392.853760 Burning in for 100 iterations out of 500 -2 * Loglike = 2364.089600 Burning in for 150 iterations out of 500 -2 * Loglike = 2376.275962 Burning in for 200 iterations out of 500 -2 * Loglike = 2365.643922 Burning in for 250 iterations out of 500 -2 * Loglike = 2356.830961 Burning in for 300 iterations out of 500 -2 * Loglike = 2380.059050 Burning in for 350 iterations out of 500 -2 * Loglike = 2358.768999 Burning in for 400 iterations out of 500 -2 * Loglike = 2353.215231 Burning in for 450 iterations out of 500 -2 * Loglike = 2358.729162 Burning in for 500 iterations out of 500 -2 * Loglike = 2387.164408 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2362.431924 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2372.978350 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2353.301696 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2372.612057 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2384.428561 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2384.089361 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2362.310478 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2369.223416 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2363.566438 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2373.833624 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2353.169501 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2382.545288 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2383.029554 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2387.839503 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2370.982699 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2383.265064 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2372.624596 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2367.798537 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2357.709044 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2377.286237 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2359.628302 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2377.855090 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2382.465195 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2384.660372 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2366.002448 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2381.934092 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2364.496132 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2367.991644 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2366.959361 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2382.596966 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2376.541497 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2372.269910 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2381.442307 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2355.792451 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2364.240275 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2354.176119 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2375.208133 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2386.598907 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2360.871195 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2359.403600 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2354.742756 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2368.111363 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2353.739785 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2377.576045 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2374.942845 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2367.216161 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2360.895892 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2355.055887 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2379.718731 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2384.235876 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2368.191827 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2361.939505 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2373.033868 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2378.630003 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2378.396449 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2358.510964 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2357.534042 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2347.881210 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2376.992658 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2352.477978 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2367.659548 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2394.061106 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2378.432812 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2347.381817 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2362.438988 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2369.952813 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2349.881511 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2344.937277 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2388.233771 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2375.140686 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2366.676178 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2362.729099 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2381.329068 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2364.645231 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2382.814727 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2367.560319 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2381.071946 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2369.246268 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2380.751327 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2366.820726 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2361.163382 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2380.565113 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2373.958908 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2390.918883 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2362.587190 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2368.850844 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2369.356064 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2375.264688 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2367.798108 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2389.327311 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2368.068108 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2378.127170 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2381.082439 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2361.119824 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2384.691330 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2363.469377 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2366.244368 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2374.198974 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2368.164884 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2375.654662 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2370.4 S.D. = 11.588 S.E.M. = 0.16388 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) N min mean max N_complete min_complete mean_complete max_complete district 60 2 32.23333 118 60 2 32.23333 118 Estimation algorithm: MCMC Elapsed time : 5.36s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2370.448 2331.268 39.180 2409.628 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + age + lc + urban + (1 | district) Level 2: district Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -1.72263 0.15643 -11.01 3.326e-28 *** -2.04037 -1.43455 79 age -0.02734 0.00850 -3.22 0.001294 ** -0.04505 -0.01129 187 lcOne_child 1.12891 0.16471 6.85 7.182e-12 *** 0.80402 1.44924 164 lcTwo_children 1.38675 0.18073 7.67 1.679e-14 *** 1.05808 1.75907 111 lcThree_plus 1.37409 0.19991 6.87 6.259e-12 *** 1.00891 1.78948 97 urbanUrban 0.73922 0.11678 6.33 2.448e-10 *** 0.50709 0.96645 511 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the district level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.23443 0.08516 0.09853 0.43194 293 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > (mymodel6 <- runMLwiN(logit(use) ~ 1 + age + lc + urban + (1 + urban | district), D = "Binomial", estoptions = list(EstM = 1), + data = bang1)) 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 iteration 4 iteration 5 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2341.937991 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2362.425212 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2336.458088 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2343.693739 Adapting for 500 iterations (Maximum 5000) -2 * Loglike = 2310.537894 Adapting for 600 iterations (Maximum 5000) -2 * Loglike = 2344.737853 Adapting for 700 iterations (Maximum 5000) -2 * Loglike = 2332.320335 Adapting for 800 iterations (Maximum 5000) -2 * Loglike = 2340.973110 Adapting for 900 iterations (Maximum 5000) -2 * Loglike = 2310.834954 Adapting for 1000 iterations (Maximum 5000) -2 * Loglike = 2333.233051 Adapting for 1100 iterations (Maximum 5000) -2 * Loglike = 2366.357628 Adapting for 1200 iterations (Maximum 5000) -2 * Loglike = 2312.176063 Adapting for 1300 iterations (Maximum 5000) -2 * Loglike = 2311.441870 Adapting for 1400 iterations (Maximum 5000) -2 * Loglike = 2342.139483 Adapting for 1500 iterations (Maximum 5000) -2 * Loglike = 2337.786630 Adapting finished and took 1600 iterations Adapting took 1600 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2336.577406 Burning in for 100 iterations out of 500 -2 * Loglike = 2325.447551 Burning in for 150 iterations out of 500 -2 * Loglike = 2319.393014 Burning in for 200 iterations out of 500 -2 * Loglike = 2334.594066 Burning in for 250 iterations out of 500 -2 * Loglike = 2317.882286 Burning in for 300 iterations out of 500 -2 * Loglike = 2309.210809 Burning in for 350 iterations out of 500 -2 * Loglike = 2349.235208 Burning in for 400 iterations out of 500 -2 * Loglike = 2333.935032 Burning in for 450 iterations out of 500 -2 * Loglike = 2330.186094 Burning in for 500 iterations out of 500 -2 * Loglike = 2341.758937 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2327.051966 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2339.874970 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2309.198285 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2346.152832 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2314.905831 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2351.101631 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2317.632930 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2325.626086 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2329.890641 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2327.271130 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2343.902312 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2343.491811 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2344.520396 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2309.826321 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2321.424001 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2310.992568 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2338.427891 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2323.921427 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2320.199534 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2329.341232 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2326.222503 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2314.921784 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2319.414142 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2314.796888 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2334.021752 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2332.470518 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2319.541619 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2355.054801 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2320.924157 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2325.057474 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2335.210506 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2336.135609 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2342.416626 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2321.267379 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2331.467392 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2328.493864 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2329.190621 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2364.273160 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2332.407860 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2323.954660 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2339.502065 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2321.468232 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2303.744745 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2325.786949 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2336.438484 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2339.011289 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2322.161947 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2315.798484 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2302.336882 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2319.976222 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2337.104563 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2346.705841 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2338.761085 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2324.958384 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2329.598206 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2315.708314 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2338.813844 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2327.083980 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2353.960950 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2331.027917 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2311.569206 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2317.945181 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2338.156234 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2348.518739 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2324.434414 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2338.245823 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2333.719836 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2318.488151 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2325.632416 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2319.865947 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2333.254000 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2341.766484 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2341.723143 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2311.475498 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2321.305098 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2321.418754 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2311.329769 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2336.299342 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2355.744179 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2347.723972 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2305.070878 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2322.601416 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2330.932742 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2325.133962 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2303.844210 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2322.715838 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2293.449631 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2325.586295 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2328.399955 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2344.514423 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2320.400520 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2305.159474 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2320.230335 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2316.097034 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2324.333599 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2313.919676 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2319.360953 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2340.517958 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2323.156696 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2327.761270 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2327.3 S.D. = 13.554 S.E.M. = 0.19168 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) N min mean max N_complete min_complete mean_complete max_complete district 60 2 32.23333 118 60 2 32.23333 118 Estimation algorithm: MCMC Elapsed time : 7.3s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2327.272 2269.602 57.670 2384.941 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + age + lc + urban + (1 + urban | district) Level 2: district Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -1.72364 0.16457 -10.47 1.142e-25 *** -2.08125 -1.39809 64 age -0.02594 0.00774 -3.35 0.0008015 *** -0.04135 -0.01102 292 lcOne_child 1.12629 0.15253 7.38 1.535e-13 *** 0.83731 1.43950 279 lcTwo_children 1.34653 0.16855 7.99 1.363e-15 *** 1.01308 1.67241 182 lcThree_plus 1.34301 0.17061 7.87 3.501e-15 *** 1.00944 1.65942 96 urbanUrban 0.83932 0.19878 4.22 2.418e-05 *** 0.46094 1.25496 93 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the district level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.43687 0.14548 0.22124 0.78523 186 cov_Intercept_urbanUrban -0.46159 0.19214 -0.92123 -0.15848 118 var_urbanUrban 0.78897 0.33255 0.29580 1.58722 96 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > # 10.4 Probit regression . . . . . . . . . . . . . . . . . . . . . . . . 141 > > # 10.5 Running a probit regression in MLwiN . . . . . . . . . . . . . . .142 > > ## Gibbs > (mymodel7 <- runMLwiN(probit(use) ~ 1 + age + lc + urban + (1 + urban | district), D = "Binomial", estoptions = list(EstM = 1, + mcmcMeth = list(fixM = 1, residM = 1)), data = bang1)) 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 iteration 4 iteration 5 iteration 6 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 1 1 2 1 1 2 Burning in for 50 iterations out of 500 -2 * Loglike = 2346.125878 Burning in for 100 iterations out of 500 -2 * Loglike = 2325.814744 Burning in for 150 iterations out of 500 -2 * Loglike = 2331.482983 Burning in for 200 iterations out of 500 -2 * Loglike = 2345.957206 Burning in for 250 iterations out of 500 -2 * Loglike = 2325.133450 Burning in for 300 iterations out of 500 -2 * Loglike = 2324.863890 Burning in for 350 iterations out of 500 -2 * Loglike = 2320.543003 Burning in for 400 iterations out of 500 -2 * Loglike = 2363.324581 Burning in for 450 iterations out of 500 -2 * Loglike = 2320.481690 Burning in for 500 iterations out of 500 -2 * Loglike = 2297.193424 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2325.864832 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2359.687841 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2313.018783 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2339.410812 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2335.334534 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2326.605728 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2337.726073 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2353.657481 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2313.786919 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2335.048597 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2322.660714 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2311.003679 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2342.887602 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2303.048249 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2327.040444 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2327.025528 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2346.225186 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2326.076786 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2318.558101 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2331.179698 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2337.559773 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2361.546178 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2335.543793 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2328.248505 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2335.338010 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2337.263095 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2306.562372 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2315.222194 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2328.114007 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2324.206213 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2349.634907 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2351.773450 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2328.553662 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2363.842731 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2314.826508 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2337.755664 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2311.946982 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2328.355552 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2323.057197 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2319.091406 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2357.040522 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2338.271029 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2317.834913 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2344.351741 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2309.146173 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2336.413774 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2298.396267 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2364.481986 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2330.927613 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2324.615120 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2331.536178 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2330.203468 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2319.983672 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2326.740887 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2315.579191 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2316.731623 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2320.336969 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2315.889546 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2331.233943 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2312.172963 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2335.759021 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2315.643228 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2327.873800 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2314.238330 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2327.077205 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2346.182472 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2310.898483 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2317.217806 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2318.107666 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2303.338551 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2328.549839 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2332.828885 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2326.075540 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2326.082114 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2332.117533 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2319.954831 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2342.655840 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2334.042062 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2343.039421 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2325.820393 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2343.476817 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2314.842589 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2343.414850 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2304.349474 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2336.397252 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2327.554926 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2337.661423 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2328.960002 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2330.860271 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2299.071294 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2326.844959 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2310.232077 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2314.390492 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2329.328542 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2323.579507 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2336.700974 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2315.673472 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2320.395957 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2329.994484 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2324.967078 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2328.7 S.D. = 14.033 S.E.M. = 0.19845 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) N min mean max N_complete min_complete mean_complete max_complete district 60 2 32.23333 118 60 2 32.23333 118 Estimation algorithm: MCMC Elapsed time : 4.05s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2328.654 2272.371 56.283 2384.937 --------------------------------------------------------------------------------------------------- The model formula: probit(use) ~ 1 + age + lc + urban + (1 + urban | district) Level 2: district Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -1.04848 0.09474 -11.07 1.806e-28 *** -1.23671 -0.86827 699 age -0.01648 0.00485 -3.40 0.0006752 *** -0.02617 -0.00706 1945 lcOne_child 0.68597 0.09541 7.19 6.484e-13 *** 0.50207 0.87151 1916 lcTwo_children 0.82938 0.10420 7.96 1.725e-15 *** 0.63237 1.03331 1918 lcThree_plus 0.82661 0.10765 7.68 1.61e-14 *** 0.61971 1.04249 1654 urbanUrban 0.50887 0.09879 5.15 2.589e-07 *** 0.31974 0.70850 716 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the district level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.15432 0.04932 0.07787 0.26926 776 cov_Intercept_urbanUrban -0.15981 0.06563 -0.30768 -0.05798 488 var_urbanUrban 0.26512 0.11643 0.09882 0.53835 340 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > ## Univariate MH by default > (mymodel8 <- runMLwiN(probit(use) ~ 1 + age + lc + urban + (1 + urban | district), D = "Binomial", estoptions = list(EstM = 1), + data = bang1)) 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 iteration 4 iteration 5 iteration 6 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2300.502755 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2326.553465 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2345.836426 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2296.712774 Adapting for 500 iterations (Maximum 5000) -2 * Loglike = 2317.036272 Adapting for 600 iterations (Maximum 5000) -2 * Loglike = 2318.847037 Adapting for 700 iterations (Maximum 5000) -2 * Loglike = 2323.387975 Adapting for 800 iterations (Maximum 5000) -2 * Loglike = 2324.365313 Adapting for 900 iterations (Maximum 5000) -2 * Loglike = 2303.450914 Adapting for 1000 iterations (Maximum 5000) -2 * Loglike = 2320.842240 Adapting for 1100 iterations (Maximum 5000) -2 * Loglike = 2325.172613 Adapting for 1200 iterations (Maximum 5000) -2 * Loglike = 2328.623194 Adapting for 1300 iterations (Maximum 5000) -2 * Loglike = 2332.669438 Adapting for 1400 iterations (Maximum 5000) -2 * Loglike = 2292.494479 Adapting finished and took 1500 iterations Adapting took 1500 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2323.741409 Burning in for 100 iterations out of 500 -2 * Loglike = 2327.405206 Burning in for 150 iterations out of 500 -2 * Loglike = 2345.846612 Burning in for 200 iterations out of 500 -2 * Loglike = 2339.851502 Burning in for 250 iterations out of 500 -2 * Loglike = 2307.865120 Burning in for 300 iterations out of 500 -2 * Loglike = 2321.204703 Burning in for 350 iterations out of 500 -2 * Loglike = 2348.141873 Burning in for 400 iterations out of 500 -2 * Loglike = 2319.688512 Burning in for 450 iterations out of 500 -2 * Loglike = 2315.125263 Burning in for 500 iterations out of 500 -2 * Loglike = 2310.869945 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2334.230343 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2309.026230 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2310.055171 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2317.541531 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2313.268722 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2360.816403 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2327.665247 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2315.342349 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2340.767739 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2333.323048 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2349.775741 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2329.037511 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2348.847129 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2355.529570 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2323.689809 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2313.713827 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2308.747213 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2330.642806 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2353.284217 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2324.041072 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2343.861309 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2341.026033 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2334.374522 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2310.706296 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2330.957693 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2347.378364 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2322.981965 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2315.383008 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2323.041148 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2325.486237 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2329.977174 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2331.294614 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2344.581912 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2323.748852 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2308.694920 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2323.722733 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2315.248387 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2325.259471 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2337.045972 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2331.957610 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2323.451381 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2341.500749 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2332.131305 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2322.550818 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2324.442526 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2339.251530 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2326.599226 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2305.942036 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2335.091520 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2337.967626 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2326.197380 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2307.136188 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2314.315691 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2313.366220 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2335.867483 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2317.172849 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2342.271614 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2324.332648 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2329.404096 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2310.447314 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2372.673348 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2358.210195 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2326.603719 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2342.086232 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2325.220262 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2341.472659 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2340.584513 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2319.423870 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2342.646880 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2322.767076 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2314.588951 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2312.454272 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2339.449923 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2315.449518 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2324.457817 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2327.214164 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2325.287947 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2328.943832 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2324.269516 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2324.787230 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2324.487420 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2315.100036 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2315.439901 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2326.064634 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2320.002204 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2304.590086 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2318.596714 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2317.458188 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2343.973465 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2348.392851 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2335.883754 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2319.666126 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2319.950775 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2309.189663 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2316.262140 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2312.315346 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2326.436217 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2318.170867 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2340.376061 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2353.174462 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2325.9 S.D. = 13.905 S.E.M. = 0.19665 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) N min mean max N_complete min_complete mean_complete max_complete district 60 2 32.23333 118 60 2 32.23333 118 Estimation algorithm: MCMC Elapsed time : 9.35s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2325.939 2269.217 56.723 2382.662 --------------------------------------------------------------------------------------------------- The model formula: probit(use) ~ 1 + age + lc + urban + (1 + urban | district) Level 2: district Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -1.03838 0.08998 -11.54 8.221e-31 *** -1.21103 -0.85682 82 age -0.01636 0.00492 -3.33 0.0008833 *** -0.02603 -0.00673 226 lcOne_child 0.68170 0.09268 7.36 1.904e-13 *** 0.50701 0.86985 197 lcTwo_children 0.82192 0.10498 7.83 4.921e-15 *** 0.61817 1.02716 155 lcThree_plus 0.82413 0.10834 7.61 2.81e-14 *** 0.58798 1.03590 120 urbanUrban 0.50298 0.10035 5.01 5.375e-07 *** 0.31380 0.70448 130 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the district level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.15902 0.05253 0.07754 0.28182 153 cov_Intercept_urbanUrban -0.17532 0.07249 -0.34852 -0.06840 102 var_urbanUrban 0.29928 0.12934 0.11242 0.62024 99 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > if (!require(texreg)) { + warning("texreg package required to use screenreg() function") + } else { + screenreg(list(mymodel7, mymodel8), custom.model.names=c("Gibbs", "Metropolis"), groups = list("Fixed Part" = 1:6, "Level-2" = 7:9, "Level-1" = 10:10), + 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: 1.36.23 Date: 2017-03-03 Author: Philip Leifeld (University of Glasgow) Please cite the JSS article in your publications -- see citation("texreg"). ================================================================ Gibbs Metropolis ---------------------------------------------------------------- Fixed Part FP_Intercept -1.05 * -1.04 * [-1.24; -0.87] [-1.21; -0.86] FP_age -0.02 * -0.02 * [-0.03; -0.01] [-0.03; -0.01] FP_lcOne_child 0.69 * 0.68 * [ 0.50; 0.87] [ 0.51; 0.87] FP_lcTwo_children 0.83 * 0.82 * [ 0.63; 1.03] [ 0.62; 1.03] FP_lcThree_plus 0.83 * 0.82 * [ 0.62; 1.04] [ 0.59; 1.04] FP_urbanUrban 0.51 * 0.50 * [ 0.32; 0.71] [ 0.31; 0.70] Level-2 RP2_var_Intercept 0.15 * 0.16 * [ 0.08; 0.27] [ 0.08; 0.28] RP2_cov_Intercept_urbanUrban -0.16 * -0.18 * [-0.31; -0.06] [-0.35; -0.07] RP2_var_urbanUrban 0.27 * 0.30 * [ 0.10; 0.54] [ 0.11; 0.62] Level-1 RP1_var_bcons_1 1.00 * 1.00 * [ 1.00; 1.00] [ 1.00; 1.00] ================================================================ * 0 outside the confidence interval > > if (!require(coda)) { + warning("package coda required to run this example") + } else { + cat("The effective sample sizes\n") + ESS.aa <- effectiveSize(mymodel7@chains[, 2:11]) + ESS.bb <- effectiveSize(mymodel8@chains[, 2:11]) + ctable <- cbind(round(ESS.aa), round(ESS.bb)) + colnames(ctable) <- c("ESS(Gibbs)", "ESS(Metropolis)") + print(ctable) + } Loading required package: coda The effective sample sizes ESS(Gibbs) ESS(Metropolis) FP_Intercept 699 82 FP_age 1945 226 FP_lcOne_child 1916 197 FP_lcTwo_children 1918 155 FP_lcThree_plus 1654 120 FP_urbanUrban 716 130 RP2_var_Intercept 776 153 RP2_cov_Intercept_urbanUrban 488 102 RP2_var_urbanUrban 340 99 RP1_var_bcons_1 5000 5000 > > # 10.6 Comparison with WinBUGS . . . . . . . . . . . . . . . . . . . . . 144 > > mymodel9 <- runMLwiN(logit(use) ~ 1 + age + (1 | district), D = "Binomial", estoptions = list(EstM = 1), BUGO = c(version = 4, + n.chains = 1, debug = FALSE, seed = 1, OpenBugs = TRUE), data = bang1) 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 iteration 4 Convergence achieved ECHO 0 Execution completed Loading required namespace: BRugs Welcome to BRugs connected to OpenBUGS version 3.2.3 model is syntactically correct data loaded model compiled Initializing chain 1: model is initialized model is already initialized Sampling has been started ... 500 updates took 4 s deviance set monitor set for variable 'beta' monitor set for variable 'u2' monitor set for variable 'sigma2.u2' monitor set for variable 'deviance' 5000 updates took 43 s > > summary(mymodel9) Iterations = 501:5500 Thinning interval = 1 Number of chains = 1 Sample size per chain = 5000 1. Empirical mean and standard deviation for each variable, plus standard error of the mean: Mean SD Naive SE Time-series SE beta[1] -5.443e-01 0.089801 1.270e-03 3.311e-03 beta[2] 8.515e-03 0.005298 7.493e-05 7.701e-05 deviance 2.476e+03 10.962516 1.550e-01 2.416e-01 sigma2.u2 2.741e-01 0.089239 1.262e-03 2.966e-03 u2[1] -4.502e-01 0.208780 2.953e-03 3.813e-03 u2[10] -6.102e-01 0.416527 5.891e-03 7.231e-03 u2[11] -9.979e-01 0.425494 6.017e-03 8.606e-03 u2[12] -9.555e-02 0.317483 4.490e-03 5.151e-03 u2[13] 1.191e-01 0.329371 4.658e-03 5.057e-03 u2[14] 9.490e-01 0.201612 2.851e-03 4.825e-03 u2[15] -1.443e-02 0.340740 4.819e-03 4.961e-03 u2[16] 4.369e-01 0.355190 5.023e-03 5.902e-03 u2[17] -2.014e-01 0.341084 4.824e-03 4.986e-03 u2[18] -8.039e-02 0.272126 3.848e-03 5.039e-03 u2[19] 3.967e-02 0.328498 4.646e-03 4.865e-03 u2[2] -4.280e-02 0.352357 4.983e-03 5.171e-03 u2[20] 6.837e-02 0.373748 5.286e-03 6.009e-03 u2[21] 3.452e-02 0.356626 5.043e-03 5.468e-03 u2[22] -4.297e-01 0.366196 5.179e-03 6.197e-03 u2[23] -2.263e-01 0.379459 5.366e-03 5.366e-03 u2[24] -6.367e-01 0.417796 5.909e-03 7.251e-03 u2[25] 2.779e-01 0.238186 3.368e-03 4.444e-03 u2[26] 1.830e-02 0.385773 5.456e-03 5.456e-03 u2[27] -6.525e-01 0.305962 4.327e-03 5.561e-03 u2[28] -4.303e-01 0.275778 3.900e-03 4.286e-03 u2[29] -2.609e-01 0.315412 4.461e-03 4.966e-03 u2[3] 3.167e-01 0.502777 7.110e-03 7.861e-03 u2[30] 4.048e-01 0.246550 3.487e-03 4.593e-03 u2[31] 2.192e-01 0.303900 4.298e-03 5.133e-03 u2[32] -4.439e-01 0.352595 4.986e-03 5.801e-03 u2[33] 1.048e-01 0.376303 5.322e-03 5.322e-03 u2[34] 8.070e-01 0.306512 4.335e-03 6.235e-03 u2[35] 4.101e-01 0.269202 3.807e-03 4.819e-03 u2[36] -4.722e-02 0.366965 5.190e-03 5.433e-03 u2[37] 3.033e-01 0.386145 5.461e-03 6.098e-03 u2[38] -2.020e-01 0.393923 5.571e-03 5.685e-03 u2[39] 3.341e-01 0.319761 4.522e-03 4.827e-03 u2[4] 3.570e-01 0.310134 4.386e-03 5.310e-03 u2[40] 2.685e-01 0.280285 3.964e-03 4.885e-03 u2[41] 3.346e-01 0.333333 4.714e-03 5.436e-03 u2[42] 3.018e-01 0.408959 5.784e-03 6.037e-03 u2[43] 5.082e-01 0.273937 3.874e-03 5.457e-03 u2[44] -4.183e-01 0.346493 4.900e-03 5.347e-03 u2[45] -9.349e-02 0.293792 4.155e-03 4.671e-03 u2[46] 5.418e-01 0.214930 3.040e-03 4.546e-03 u2[47] 1.776e-01 0.367427 5.196e-03 5.771e-03 u2[48] 4.642e-01 0.278017 3.932e-03 4.981e-03 u2[49] -3.128e-01 0.485171 6.861e-03 7.425e-03 u2[5] -2.235e-02 0.288865 4.085e-03 4.506e-03 u2[50] 2.365e-01 0.349387 4.941e-03 5.736e-03 u2[51] 2.770e-01 0.286289 4.049e-03 4.818e-03 u2[52] 2.532e-01 0.246447 3.485e-03 4.613e-03 u2[53] 1.121e-01 0.351896 4.977e-03 4.977e-03 u2[54] -2.553e-01 0.445362 6.298e-03 6.992e-03 u2[55] 6.448e-01 0.273768 3.872e-03 5.579e-03 u2[56] -5.319e-01 0.343876 4.863e-03 5.399e-03 u2[57] 2.314e-01 0.299322 4.233e-03 4.791e-03 u2[58] -4.423e-01 0.429483 6.074e-03 6.793e-03 u2[59] -4.468e-01 0.327390 4.630e-03 5.547e-03 u2[6] -2.754e-01 0.247264 3.497e-03 4.288e-03 u2[60] -5.150e-01 0.302312 4.275e-03 4.985e-03 u2[7] -2.024e-01 0.370591 5.241e-03 5.834e-03 u2[8] 2.606e-02 0.292622 4.138e-03 4.727e-03 u2[9] -1.680e-01 0.340983 4.822e-03 5.502e-03 2. Quantiles for each variable: 2.5% 25% 50% 75% 97.5% beta[1] -7.231e-01 -6.038e-01 -5.434e-01 -0.48431 -0.36688 beta[2] -1.841e-03 4.841e-03 8.528e-03 0.01213 0.01889 deviance 2.457e+03 2.469e+03 2.476e+03 2483.27960 2499.22413 sigma2.u2 1.369e-01 2.095e-01 2.615e-01 0.32643 0.47471 u2[1] -8.712e-01 -5.869e-01 -4.450e-01 -0.30512 -0.04547 u2[10] -1.500e+00 -8.711e-01 -5.971e-01 -0.32544 0.15487 u2[11] -1.903e+00 -1.261e+00 -9.792e-01 -0.70341 -0.21077 u2[12] -7.155e-01 -3.051e-01 -9.574e-02 0.11981 0.51891 u2[13] -5.385e-01 -1.039e-01 1.255e-01 0.33995 0.74937 u2[14] 5.581e-01 8.176e-01 9.470e-01 1.08174 1.34851 u2[15] -6.842e-01 -2.352e-01 -1.060e-02 0.20626 0.64692 u2[16] -2.280e-01 2.011e-01 4.250e-01 0.66178 1.17699 u2[17] -8.841e-01 -4.294e-01 -1.901e-01 0.02728 0.43359 u2[18] -6.229e-01 -2.613e-01 -7.577e-02 0.10053 0.44651 u2[19] -6.003e-01 -1.769e-01 4.155e-02 0.25738 0.68842 u2[2] -7.339e-01 -2.713e-01 -5.206e-02 0.18509 0.66364 u2[20] -6.695e-01 -1.804e-01 7.103e-02 0.31739 0.79705 u2[21] -6.495e-01 -2.067e-01 2.355e-02 0.26952 0.76202 u2[22] -1.179e+00 -6.656e-01 -4.210e-01 -0.17258 0.25275 u2[23] -1.003e+00 -4.739e-01 -2.204e-01 0.03034 0.49866 u2[24] -1.532e+00 -8.968e-01 -6.199e-01 -0.35269 0.12560 u2[25] -1.759e-01 1.177e-01 2.766e-01 0.43980 0.74033 u2[26] -7.599e-01 -2.296e-01 1.816e-02 0.27460 0.77219 u2[27] -1.289e+00 -8.517e-01 -6.433e-01 -0.44914 -0.06269 u2[28] -9.814e-01 -6.163e-01 -4.257e-01 -0.24474 0.09587 u2[29] -8.869e-01 -4.699e-01 -2.565e-01 -0.04766 0.34236 u2[3] -6.320e-01 -2.483e-02 3.080e-01 0.64090 1.32274 u2[30] -9.272e-02 2.396e-01 4.033e-01 0.57669 0.88516 u2[31] -3.787e-01 1.992e-02 2.176e-01 0.41821 0.81732 u2[32] -1.162e+00 -6.772e-01 -4.365e-01 -0.20455 0.23310 u2[33] -6.389e-01 -1.459e-01 1.020e-01 0.35578 0.83736 u2[34] 2.138e-01 5.955e-01 8.066e-01 1.01187 1.42054 u2[35] -1.117e-01 2.234e-01 4.085e-01 0.58989 0.94783 u2[36] -7.880e-01 -2.900e-01 -3.997e-02 0.19610 0.65265 u2[37] -4.488e-01 4.877e-02 3.013e-01 0.55237 1.08270 u2[38] -9.799e-01 -4.639e-01 -2.051e-01 0.06686 0.55767 u2[39] -2.978e-01 1.229e-01 3.293e-01 0.54589 0.96938 u2[4] -2.530e-01 1.542e-01 3.514e-01 0.56293 0.97140 u2[40] -2.847e-01 7.773e-02 2.714e-01 0.45181 0.81352 u2[41] -3.112e-01 1.072e-01 3.305e-01 0.55752 0.99663 u2[42] -4.824e-01 2.308e-02 2.994e-01 0.56644 1.14843 u2[43] -3.100e-02 3.232e-01 5.071e-01 0.69323 1.04709 u2[44] -1.130e+00 -6.363e-01 -4.144e-01 -0.18339 0.23377 u2[45] -6.830e-01 -2.870e-01 -9.254e-02 0.10548 0.48583 u2[46] 1.060e-01 3.997e-01 5.411e-01 0.68662 0.96846 u2[47] -5.414e-01 -7.059e-02 1.712e-01 0.42193 0.92171 u2[48] -7.265e-02 2.776e-01 4.646e-01 0.65196 1.00842 u2[49] -1.299e+00 -6.236e-01 -2.979e-01 0.01752 0.62199 u2[5] -5.985e-01 -2.107e-01 -2.199e-02 0.16618 0.54160 u2[50] -4.449e-01 -1.765e-03 2.417e-01 0.46520 0.92366 u2[51] -2.874e-01 8.851e-02 2.837e-01 0.46421 0.83517 u2[52] -2.258e-01 8.184e-02 2.551e-01 0.42106 0.74345 u2[53] -5.630e-01 -1.216e-01 1.148e-01 0.34648 0.79172 u2[54] -1.130e+00 -5.516e-01 -2.471e-01 0.04161 0.62789 u2[55] 1.192e-01 4.573e-01 6.441e-01 0.82178 1.20277 u2[56] -1.234e+00 -7.628e-01 -5.161e-01 -0.29512 0.12164 u2[57] -3.475e-01 3.342e-02 2.315e-01 0.42541 0.82523 u2[58] -1.341e+00 -7.233e-01 -4.286e-01 -0.14956 0.37873 u2[59] -1.111e+00 -6.585e-01 -4.317e-01 -0.23232 0.17653 u2[6] -7.653e-01 -4.389e-01 -2.706e-01 -0.10664 0.19042 u2[60] -1.137e+00 -7.077e-01 -5.114e-01 -0.31085 0.05526 u2[7] -9.575e-01 -4.374e-01 -1.954e-01 0.04811 0.52952 u2[8] -5.446e-01 -1.704e-01 2.323e-02 0.22168 0.59973 u2[9] -8.537e-01 -3.931e-01 -1.649e-01 0.06712 0.48726 > summary(mymodel9[, "beta[1]"]) Iterations = 501:5500 Thinning interval = 1 Number of chains = 1 Sample size per chain = 5000 1. Empirical mean and standard deviation for each variable, plus standard error of the mean: Mean SD Naive SE Time-series SE -0.544271 0.089801 0.001270 0.003311 2. Quantiles for each variable: 2.5% 25% 50% 75% 97.5% -0.7231 -0.6038 -0.5434 -0.4843 -0.3669 > sixway(mymodel9[, "beta[1]", drop = FALSE]) > > (mymodel10 <- runMLwiN(logit(use) ~ 1 + age + (1 | district), D = "Binomial", estoptions = list(EstM = 1), + data = bang1)) 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 iteration 4 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 2 2 2 1 1 2 Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2497.656500 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2483.820249 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2474.510650 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2474.944168 Adapting for 500 iterations (Maximum 5000) -2 * Loglike = 2472.709291 Adapting for 600 iterations (Maximum 5000) -2 * Loglike = 2459.927023 Adapting for 700 iterations (Maximum 5000) -2 * Loglike = 2473.465441 Adapting for 800 iterations (Maximum 5000) -2 * Loglike = 2473.793835 Adapting for 900 iterations (Maximum 5000) -2 * Loglike = 2487.318987 Adapting for 1000 iterations (Maximum 5000) -2 * Loglike = 2481.725225 Adapting for 1100 iterations (Maximum 5000) -2 * Loglike = 2462.972152 Adapting for 1200 iterations (Maximum 5000) -2 * Loglike = 2479.580139 Adapting for 1300 iterations (Maximum 5000) -2 * Loglike = 2482.436469 Adapting for 1400 iterations (Maximum 5000) -2 * Loglike = 2465.070462 Adapting for 1500 iterations (Maximum 5000) -2 * Loglike = 2478.730742 Adapting for 1600 iterations (Maximum 5000) -2 * Loglike = 2468.639432 Adapting for 1700 iterations (Maximum 5000) -2 * Loglike = 2484.084233 Adapting for 1800 iterations (Maximum 5000) -2 * Loglike = 2460.787469 Adapting finished and took 1900 iterations Adapting took 1900 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2478.369740 Burning in for 100 iterations out of 500 -2 * Loglike = 2483.171336 Burning in for 150 iterations out of 500 -2 * Loglike = 2488.040187 Burning in for 200 iterations out of 500 -2 * Loglike = 2472.209128 Burning in for 250 iterations out of 500 -2 * Loglike = 2488.025540 Burning in for 300 iterations out of 500 -2 * Loglike = 2481.520094 Burning in for 350 iterations out of 500 -2 * Loglike = 2476.267648 Burning in for 400 iterations out of 500 -2 * Loglike = 2469.290524 Burning in for 450 iterations out of 500 -2 * Loglike = 2470.117552 Burning in for 500 iterations out of 500 -2 * Loglike = 2482.141584 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 2 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 2473.026314 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2495.206307 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2501.982138 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2478.428932 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2465.143718 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2467.116993 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2499.672224 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2471.469958 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2500.351693 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2486.434331 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2476.981361 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2483.342518 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2466.323596 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2492.611190 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2471.403799 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2483.936282 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2462.255478 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2478.927962 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2466.311890 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2478.043148 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2471.841683 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2478.103281 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2482.599981 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2473.167200 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2482.729573 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2477.729158 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2476.234981 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2467.675723 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2485.851434 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2463.315771 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2492.354692 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2483.817811 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2474.739687 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2468.723676 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2489.503005 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2483.790054 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2473.554738 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2472.429227 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2461.535145 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2480.440089 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2465.167509 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2470.918687 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2478.398446 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2499.127140 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2478.026533 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2474.933757 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2506.029940 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2478.572072 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2466.036167 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2474.765321 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2482.453086 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2474.279930 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2468.280725 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2467.808485 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2481.244950 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2468.350684 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2455.841172 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2495.890449 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2488.618394 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2478.814052 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2467.326492 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2483.182698 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2492.192550 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2462.425880 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2480.704832 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2465.321035 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2476.023619 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2483.395559 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2472.580722 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2475.776111 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2470.752455 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2479.072322 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2500.255563 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2494.693408 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2467.120993 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2459.673282 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2479.034317 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2475.668152 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2454.900801 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2466.128770 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2481.521969 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2486.334590 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2466.312487 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2483.752627 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2461.648431 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2483.714777 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2478.734461 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2474.988577 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2481.208575 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2476.019312 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2474.662026 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2471.658265 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2468.812437 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2479.115135 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2462.468193 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2482.254267 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2470.569235 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2477.189511 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2456.972587 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2483.210658 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2477.2 S.D. = 11.236 S.E.M. = 0.15890 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.05) multilevel model (Binomial) N min mean max N_complete min_complete mean_complete max_complete district 60 2 32.23333 118 60 2 32.23333 118 Estimation algorithm: MCMC Elapsed time : 3.91s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 2477.181 2440.199 36.982 2514.163 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + age + (1 | district) Level 2: district Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.53683 0.08720 -6.16 7.436e-10 *** -0.72295 -0.37759 171 age 0.00855 0.00524 1.63 0.1028 -0.00126 0.01891 1102 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the district level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.26389 0.08930 0.13141 0.46936 359 --------------------------------------------------------------------------------------------------- The random part estimates at the l1id level: Coef. Std. Err. [95% Cred. Interval] ESS var_bcons_1 1.00000 1e-05 1.00000 1.00000 5000 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > summary(mymodel10@chains[, "FP_Intercept"]) Iterations = 1:5000 Thinning interval = 1 Number of chains = 1 Sample size per chain = 5000 1. Empirical mean and standard deviation for each variable, plus standard error of the mean: Mean SD Naive SE Time-series SE -0.536829 0.087197 0.001233 0.006661 2. Quantiles for each variable: 2.5% 25% 50% 75% 97.5% -0.7229 -0.5901 -0.5356 -0.4779 -0.3776 > sixway(mymodel10@chains[, "FP_Intercept", drop = FALSE], "beta_0") > > # Chapter learning outcomes . . . . . . . . . . . . . . . . . . . . . . .128 > > > > > > ############################################################################ > > proc.time() user system elapsed 8.93 5.84 294.35