R version 4.4.1 (2024-06-14 ucrt) -- "Race for Your Life" Copyright (C) 2024 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > ############################################################################ > # MLwiN MCMC Manual > # > # 14 Adjusting for Measurement Errors in Predictor Variables . . . . . .199 > # > # Browne, W.J. (2009) MCMC Estimation in MLwiN, v2.13. Centre for > # Multilevel Modelling, University of Bristol. > ############################################################################ > # R script to replicate all analyses using R2MLwiN > # > # Zhang, Z., Charlton, C., Parker, R, Leckie, G., and Browne, W.J. > # Centre for Multilevel Modelling, 2012 > # http://www.bristol.ac.uk/cmm/software/R2MLwiN/ > ############################################################################ > > library(R2MLwiN) R2MLwiN: A package to run models implemented in MLwiN from R Copyright 2013-2024 Zhengzheng Zhang, Christopher M. J. Charlton, Richard M. A. Parker, William J. Browne and George Leckie Support provided by the Economic and Social Research Council (ESRC) (Grants RES-149-25-1084, RES-576-25-0032 and ES/K007246/1) To cite R2MLwiN in publications use: Zhengzheng Zhang, Richard M. A. Parker, Christopher M. J. Charlton, George Leckie, William J. Browne (2016). R2MLwiN: A Package to Run MLwiN from within R. Journal of Statistical Software, 72(10), 1-43. doi:10.18637/jss.v072.i10 A BibTeX entry for LaTeX users is @Article{, title = {{R2MLwiN}: A Package to Run {MLwiN} from within {R}}, author = {Zhengzheng Zhang and Richard M. A. Parker and Christopher M. J. Charlton and George Leckie and William J. Browne}, journal = {Journal of Statistical Software}, year = {2016}, volume = {72}, number = {10}, pages = {1--43}, doi = {10.18637/jss.v072.i10}, } The MLwiN_path option is currently set to C:/Program Files/MLwiN v3.11/ To change this use: options(MLwiN_path="") > # MLwiN folder > mlwin <- getOption("MLwiN_path") > while (!file.access(mlwin, mode = 1) == 0) { + cat("Please specify the root MLwiN folder or the full path to the MLwiN executable:\n") + mlwin <- scan(what = character(0), sep = "\n") + mlwin <- gsub("\\", "/", mlwin, fixed = TRUE) + } > options(MLwiN_path = mlwin) > > ## Read tutorial data > data(tutorial, package = "R2MLwiN") > > # 14.1 Effects of measurement error on predictors . . . . . . . . . . . .200 > set.seed(1) > error <- rnorm(length(tutorial$standlrt), 0, sqrt(0.2)) > obslrt <- tutorial$standlrt + error > tutorial <- cbind(tutorial, error, obslrt) > > (mymodel <- runMLwiN(normexam ~ 1 + standlrt + (1 | student), data = tutorial)) /nogui option ignored ECHO 0 Echoing is ON BATC 1 Batch mode is ON MAXI 2 STAR iteration 0 iteration 1 Convergence achieved TOLE 2 MAXI 20 NEXT iteration 2 Convergence achieved ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Normal) Estimation algorithm: IGLS Elapsed time : 0.08s Number of obs: 4059 (from total 4059) The model converged after 3 iterations. Log likelihood: -4880.3 Deviance statistic: 9760.5 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 | student) Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Conf. Interval] Intercept -0.00119 0.01264 -0.09 0.9249 -0.02596 0.02358 standlrt 0.59506 0.01273 46.76 0 *** 0.57011 0.62000 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. var_Intercept 0.64842 0.01439 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > (mymodel <- runMLwiN(normexam ~ 1 + error + (1 | student), data = tutorial)) /nogui option ignored ECHO 0 Echoing is ON BATC 1 Batch mode is ON MAXI 2 STAR iteration 0 iteration 1 Convergence achieved TOLE 2 MAXI 20 NEXT iteration 2 Convergence achieved ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Normal) Estimation algorithm: IGLS Elapsed time : 0.07s Number of obs: 4059 (from total 4059) The model converged after 3 iterations. Log likelihood: -5754.2 Deviance statistic: 11508.4 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + error + (1 | student) Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Conf. Interval] Intercept -0.00010 0.01568 -0.01 0.9948 -0.03083 0.03062 error -0.03305 0.03382 -0.98 0.3285 -0.09935 0.03324 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. var_Intercept 0.99741 0.02214 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > (mymodel <- runMLwiN(normexam ~ 1 + obslrt + (1 | student), data = tutorial)) /nogui option ignored ECHO 0 Echoing is ON BATC 1 Batch mode is ON MAXI 2 STAR iteration 0 iteration 1 Convergence achieved TOLE 2 MAXI 20 NEXT iteration 2 Convergence achieved ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Normal) Estimation algorithm: IGLS Elapsed time : 0.06s Number of obs: 4059 (from total 4059) The model converged after 3 iterations. Log likelihood: -5082.9 Deviance statistic: 10165.9 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + obslrt + (1 | student) Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Conf. Interval] Intercept -0.00117 0.01329 -0.09 0.9296 -0.02721 0.02487 obslrt 0.48489 0.01215 39.91 0 *** 0.46107 0.50870 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. var_Intercept 0.71652 0.01590 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > (mymodel <- runMLwiN(normexam ~ 1 + obslrt + (1 | student), estoptions = list(EstM = 1, merr = c(N = 1, "obslrt", + 0.2)), data = tutorial)) MLwiN is running, please wait...... /nogui option ignored ECHO 0 Echoing is ON BATC 1 Batch mode is ON MAXI 2 STAR iteration 0 iteration 1 Convergence achieved TOLE 2 MAXI 20 BATC 1 Batch mode is ON NEXT iteration 2 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 1 1 1 1 1 1 BURNING IN... Burning in for 50 iterations out of 500 -2 * Loglike = 10030.845657 Burning in for 100 iterations out of 500 -2 * Loglike = 9851.851496 Burning in for 150 iterations out of 500 -2 * Loglike = 9843.264679 Burning in for 200 iterations out of 500 -2 * Loglike = 9858.702314 Burning in for 250 iterations out of 500 -2 * Loglike = 9888.231519 Burning in for 300 iterations out of 500 -2 * Loglike = 9813.536891 Burning in for 350 iterations out of 500 -2 * Loglike = 9843.921642 Burning in for 400 iterations out of 500 -2 * Loglike = 9800.714375 Burning in for 450 iterations out of 500 -2 * Loglike = 9840.312040 Burning in for 500 iterations out of 500 -2 * Loglike = 9788.990109 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 9847.304628 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9819.677891 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9848.074774 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9791.465112 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9921.508411 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9778.157787 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9842.020229 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9810.932119 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9906.691621 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9848.405205 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9808.855434 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9839.063777 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9869.949887 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9846.491754 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9854.445409 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9775.309901 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9846.537354 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9906.111436 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9831.622497 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9849.783603 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9925.350094 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9879.287368 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9902.331039 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9857.586986 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9869.943413 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9851.253545 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9849.119034 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9823.024482 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9890.138041 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9824.142453 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9868.086119 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9792.192429 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9867.982866 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9739.912920 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9860.880063 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9861.782844 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9854.273092 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9807.031052 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9767.102476 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9859.825103 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9806.644858 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9828.001232 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9810.584953 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9815.807291 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9795.376865 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9794.356658 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9850.553847 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9766.698580 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9881.067990 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9863.191879 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9847.504459 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9812.147786 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9819.640761 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9807.046431 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9803.070480 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9793.072528 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9823.526435 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9866.810586 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9836.905477 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9870.657468 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9786.882076 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9811.108759 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9875.196027 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9837.623099 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9870.371265 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9833.170599 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9852.286089 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9869.407387 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9885.701904 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9774.055522 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9853.793481 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9805.597142 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9902.754888 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9880.965631 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9802.835661 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9790.205208 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9872.982077 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9872.558436 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9796.176164 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9860.425046 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9815.898081 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9881.146968 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9845.893271 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9739.407179 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9884.568957 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9864.781319 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9837.937826 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9790.670662 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9771.457137 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9804.427734 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9873.549246 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9826.286372 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9878.335481 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9803.820622 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9860.198670 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9890.513414 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9875.162411 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9788.761250 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9814.122794 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9849.955140 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9834.0 S.D. = 41.190 S.E.M. = 0.58251 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Normal) Estimation algorithm: MCMC Elapsed time : 3.89s Number of obs: 4059 (from total 4059) Number of iter.: 5000 Chains: 1 Burn-in: 500 Deviance statistic: 10165.9 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + obslrt + (1 | student) Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.00154 0.01341 -0.11 0.9087 -0.02766 0.02476 4782 obslrt 0.58279 0.01447 40.29 0 *** 0.55500 0.61126 2850 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.66053 0.01623 0.62956 0.69350 3486 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > # 14.2 Measurement error modelling in multilevel models . . . . . . . . .205 > > (mymodel <- runMLwiN(normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student), estoptions = list(EstM = 1), + data = tutorial)) MLwiN is running, please wait...... /nogui option ignored ECHO 0 Echoing is ON BATC 1 Batch mode is ON MAXI 2 STAR iteration 0 iteration 1 Convergence not achieved TOLE 2 MAXI 20 BATC 1 Batch mode is ON NEXT iteration 2 iteration 3 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 1 1 1 1 1 1 BURNING IN... Burning in for 50 iterations out of 500 -2 * Loglike = 9136.615416 Burning in for 100 iterations out of 500 -2 * Loglike = 9129.472590 Burning in for 150 iterations out of 500 -2 * Loglike = 9137.752388 Burning in for 200 iterations out of 500 -2 * Loglike = 9149.641457 Burning in for 250 iterations out of 500 -2 * Loglike = 9113.737768 Burning in for 300 iterations out of 500 -2 * Loglike = 9127.854908 Burning in for 350 iterations out of 500 -2 * Loglike = 9099.670195 Burning in for 400 iterations out of 500 -2 * Loglike = 9107.133017 Burning in for 450 iterations out of 500 -2 * Loglike = 9108.686421 Burning in for 500 iterations out of 500 -2 * Loglike = 9142.796685 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 9114.789855 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9128.936360 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9120.626663 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9140.221260 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9133.366931 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9112.633267 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9110.267312 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9134.271816 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9146.903828 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9118.578020 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9132.630258 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9105.115711 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9126.654041 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9138.820724 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9119.239813 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9145.879653 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9132.483550 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9094.657080 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9118.502105 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9094.902922 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9135.645832 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9128.926707 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9104.509733 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9108.989181 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9111.759420 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9103.538840 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9120.142978 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9117.533977 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9114.717113 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9118.929584 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9146.845851 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9126.654978 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9127.854549 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9114.945398 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9156.130168 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9134.732656 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9142.867734 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9137.471434 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9127.702153 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9133.939751 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9107.640871 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9137.519015 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9147.472132 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9104.767457 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9118.396071 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9143.494727 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9130.468641 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9137.527730 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9106.747459 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9154.348069 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9142.340919 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9100.831693 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9131.653716 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9151.916582 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9165.855130 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9125.508254 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9146.519009 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9122.524343 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9128.808395 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9125.880481 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9130.006670 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9116.446060 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9105.444348 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9141.749060 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9122.819747 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9140.592905 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9119.521430 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9137.983211 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9128.855413 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9130.638160 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9119.619021 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9124.980114 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9135.552922 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9127.477138 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9114.227379 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9110.953194 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9118.839082 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9118.763419 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9117.590737 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9106.053640 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9112.274103 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9115.311806 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9122.276612 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9120.226668 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9140.403968 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9153.535294 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9117.253885 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9116.415887 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9136.007855 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9119.650550 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9108.406619 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9104.027872 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9104.517145 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9102.506754 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9125.791725 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9121.949129 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9123.201133 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9116.574595 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9120.080554 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9120.628553 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9123.2 S.D. = 16.792 S.E.M. = 0.23747 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 2.26s Number of obs: 4059 (from total 4059) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 9123.206 9031.714 91.492 9214.698 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + standlrt + (1 + standlrt | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.01257 0.04089 -0.31 0.7585 -0.09055 0.06865 209 standlrt 0.55645 0.02084 26.70 4.362e-157 *** 0.51501 0.59701 596 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the school level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.09711 0.02001 0.06465 0.14261 2549 cov_Intercept_standlrt 0.01933 0.00739 0.00660 0.03537 1740 var_standlrt 0.01526 0.00485 0.00772 0.02662 846 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.55440 0.01242 0.53052 0.57904 4750 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > (mymodel <- runMLwiN(normexam ~ 1 + obslrt + (1 + obslrt | school) + (1 | student), estoptions = list(EstM = 1), data = tutorial)) MLwiN is running, please wait...... /nogui option ignored ECHO 0 Echoing is ON BATC 1 Batch mode is ON MAXI 2 STAR iteration 0 iteration 1 Convergence not achieved TOLE 2 MAXI 20 BATC 1 Batch mode is ON NEXT iteration 2 iteration 3 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 1 1 1 1 1 1 BURNING IN... Burning in for 50 iterations out of 500 -2 * Loglike = 9557.668282 Burning in for 100 iterations out of 500 -2 * Loglike = 9550.917606 Burning in for 150 iterations out of 500 -2 * Loglike = 9549.118836 Burning in for 200 iterations out of 500 -2 * Loglike = 9565.853907 Burning in for 250 iterations out of 500 -2 * Loglike = 9535.755436 Burning in for 300 iterations out of 500 -2 * Loglike = 9551.604339 Burning in for 350 iterations out of 500 -2 * Loglike = 9521.217086 Burning in for 400 iterations out of 500 -2 * Loglike = 9525.186785 Burning in for 450 iterations out of 500 -2 * Loglike = 9527.220279 Burning in for 500 iterations out of 500 -2 * Loglike = 9562.996780 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 9533.942692 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9546.830416 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9538.011865 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9562.720763 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9549.270526 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9525.594138 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9532.863206 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9550.859701 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9559.755437 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9539.984608 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9548.853954 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9528.929272 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9547.606762 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9565.177846 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9535.605809 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9559.737804 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9554.399230 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9510.102497 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9542.541735 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9514.007889 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9558.415358 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9551.683094 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9532.865730 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9530.380909 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9534.912076 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9519.856443 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9539.607552 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9541.111941 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9524.165669 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9539.106284 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9563.877231 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9551.022654 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9541.087252 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9531.774728 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9573.923755 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9557.885911 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9562.648458 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9561.604055 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9545.540060 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9554.142479 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9525.332602 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9557.005210 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9566.388943 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9526.952193 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9535.427972 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9559.943565 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9555.797602 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9558.778354 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9528.578565 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9569.218993 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9561.648845 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9521.225257 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9555.237439 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9570.927445 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9591.336281 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9547.903420 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9567.588973 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9534.928934 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9549.500399 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9542.623386 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9549.179479 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9545.705284 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9524.902854 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9564.493064 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9543.741719 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9560.419950 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9538.132705 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9554.308780 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9551.226625 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9548.161279 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9543.936913 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9545.821637 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9552.829729 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9549.571849 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9530.718690 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9534.998514 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9540.139851 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9544.511048 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9538.782197 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9528.921241 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9525.715522 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9537.007117 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9535.882353 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9556.707698 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9563.200049 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9569.650403 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9539.258262 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9529.417533 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9557.965434 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9540.101298 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9530.353551 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9526.039907 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9525.832007 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9518.499086 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9551.095047 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9541.579475 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9545.171747 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9541.329254 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9539.143612 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9536.765172 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9543.3 S.D. = 16.788 S.E.M. = 0.23742 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 2.17s Number of obs: 4059 (from total 4059) Number of iter.: 5000 Chains: 1 Burn-in: 500 Bayesian Deviance Information Criterion (DIC) Dbar D(thetabar) pD DIC 9543.340 9454.185 89.155 9632.495 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + obslrt + (1 + obslrt | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.01368 0.04347 -0.31 0.7529 -0.09629 0.07262 205 obslrt 0.44666 0.01849 24.16 6.015e-129 *** 0.40942 0.48240 677 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the school level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.11021 0.02258 0.07358 0.16132 2592 cov_Intercept_obslrt 0.01666 0.00691 0.00432 0.03161 1549 var_obslrt 0.01111 0.00385 0.00525 0.02022 697 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.61486 0.01376 0.58831 0.64217 4739 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > (mymodel <- runMLwiN(normexam ~ 1 + obslrt + (1 + obslrt | school) + (1 | student), estoptions = list(EstM = 1, merr = c(N = 1, + "obslrt", 0.2)), data = tutorial)) MLwiN is running, please wait...... /nogui option ignored ECHO 0 Echoing is ON BATC 1 Batch mode is ON MAXI 2 STAR iteration 0 iteration 1 Convergence not achieved TOLE 2 MAXI 20 BATC 1 Batch mode is ON NEXT iteration 2 iteration 3 Convergence achieved ECHO 0 Echoing is ON MCMC 0 500 1 5.8 50 10 G30[1] G30[2] 1 1 1 1 1 1 BURNING IN... Burning in for 50 iterations out of 500 -2 * Loglike = 9320.351125 Burning in for 100 iterations out of 500 -2 * Loglike = 9260.818285 Burning in for 150 iterations out of 500 -2 * Loglike = 9141.510893 Burning in for 200 iterations out of 500 -2 * Loglike = 9145.593816 Burning in for 250 iterations out of 500 -2 * Loglike = 9194.006232 Burning in for 300 iterations out of 500 -2 * Loglike = 9137.387311 Burning in for 350 iterations out of 500 -2 * Loglike = 9066.721982 Burning in for 400 iterations out of 500 -2 * Loglike = 9132.959682 Burning in for 450 iterations out of 500 -2 * Loglike = 9115.614642 Burning in for 500 iterations out of 500 -2 * Loglike = 9165.227555 ERAS G30 LINK 0 G30 ERAS c1090 c1091 MCMC 1 5000 1 c1090 c1091 c1003 c1004 1 1 Actual update 50 of 5000, Stored update 50 of 5000 -2 * Loglike = 9169.822790 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 9125.315605 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 9180.133121 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 9139.562343 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 9108.393027 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 9174.636434 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 9082.428470 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 9166.382884 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 9122.760679 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 9146.073877 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 9171.913143 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 9162.283468 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 9182.275881 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 9027.633098 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 9187.103140 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 9206.396795 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 9106.301202 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 9122.710869 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 9102.116353 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 9068.202328 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 9165.731705 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 9235.685589 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 9160.124956 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 9061.767625 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 9096.306304 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 9079.234017 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 9165.745558 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 9135.493488 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 9149.678508 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 9162.716973 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 9219.169513 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 9159.935102 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 9113.345853 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 9199.043005 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 9063.196993 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 9188.132645 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 9121.092220 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 9052.393725 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 9198.934878 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 9183.629757 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 9104.895322 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 9164.201968 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 9182.605933 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 9199.759322 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 9173.826678 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 9090.962133 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 9197.778300 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 9157.893644 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 9139.076110 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 9148.674366 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 9196.099735 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 9064.372964 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 9108.716338 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 9047.232875 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 9159.336633 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 9101.936371 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 9127.966133 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 9114.384562 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 9179.478007 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 9140.143147 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 9224.961460 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 9179.675745 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 9142.885800 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 9110.116998 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 9052.127550 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 9008.559547 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 9206.072783 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 9129.905029 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 9030.933147 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 9219.652280 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 9188.472382 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 9130.086829 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 9005.777033 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 9091.525305 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 9181.997443 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 9134.847759 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 9111.981805 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 9113.637146 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 9185.335924 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 9128.918247 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 9082.486609 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 9135.323714 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 9032.296682 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 9201.895934 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 9107.381195 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 9119.637739 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 9086.643888 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 9129.511940 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 9190.244905 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 9237.996677 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 9148.937698 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 9149.452312 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 9124.560876 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 9097.198341 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 9140.730696 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 9223.723116 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 9142.459031 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 9107.239612 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 9160.518346 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 9174.181651 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 9143.0 S.D. = 49.641 S.E.M. = 0.70203 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Normal) N min mean max N_complete min_complete mean_complete max_complete school 65 2 62.44615 198 65 2 62.44615 198 Estimation algorithm: MCMC Elapsed time : 7.53s Number of obs: 4059 (from total 4059) Number of iter.: 5000 Chains: 1 Burn-in: 500 Deviance statistic: 9732.6 --------------------------------------------------------------------------------------------------- The model formula: normexam ~ 1 + obslrt + (1 + obslrt | school) + (1 | student) Level 2: school Level 1: student --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.01346 0.04326 -0.31 0.7557 -0.09414 0.07359 194 obslrt 0.53729 0.02265 23.72 2.156e-124 *** 0.49286 0.58115 659 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 --------------------------------------------------------------------------------------------------- The random part estimates at the school level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.10976 0.02265 0.07298 0.15995 2359 cov_Intercept_obslrt 0.02210 0.00903 0.00619 0.04150 1568 var_obslrt 0.02114 0.00666 0.01061 0.03644 749 --------------------------------------------------------------------------------------------------- The random part estimates at the student level: Coef. Std. Err. [95% Cred. Interval] ESS var_Intercept 0.55723 0.01437 0.52972 0.58654 2703 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > # 14.3 Measurement errors in binomial models . . . . . . . . . . . . . . 208 > > > ## Read bang1 data > data(bang1, package = "R2MLwiN") > > set.seed(1) > bang1$obsage <- bang1$age + rnorm(length(bang1$age), 0, 5) > > (mymodel <- 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 RUNNING ADAPTIVE PROCEDURE AND BURNING IN... 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: 3.11) multilevel model (Binomial) Estimation algorithm: MCMC Elapsed time : 2.8s 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 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > (mymodel <- runMLwiN(logit(use) ~ 1 + obsage, 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 RUNNING ADAPTIVE PROCEDURE AND BURNING IN... Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2595.199073 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2589.902225 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2589.864198 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2589.867866 Adapting finished and took 500 iterations Adapting took 500 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2591.696711 Burning in for 100 iterations out of 500 -2 * Loglike = 2589.680114 Burning in for 150 iterations out of 500 -2 * Loglike = 2592.340952 Burning in for 200 iterations out of 500 -2 * Loglike = 2589.744447 Burning in for 250 iterations out of 500 -2 * Loglike = 2592.048609 Burning in for 300 iterations out of 500 -2 * Loglike = 2590.549333 Burning in for 350 iterations out of 500 -2 * Loglike = 2589.886888 Burning in for 400 iterations out of 500 -2 * Loglike = 2589.990956 Burning in for 450 iterations out of 500 -2 * Loglike = 2590.173068 Burning in for 500 iterations out of 500 -2 * Loglike = 2592.398467 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 = 2589.817573 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2590.623709 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2594.023814 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2593.019489 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2592.433573 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2590.196465 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2592.624468 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2592.679076 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2592.581293 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2591.826219 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2591.729285 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2592.411348 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2590.485122 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2589.950383 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2590.657924 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2590.648427 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2592.723986 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2590.801623 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2589.923736 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2597.092208 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2592.668731 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2589.903505 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2591.721020 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2591.208793 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2590.656182 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2592.717453 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2591.016605 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2591.492345 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2590.918941 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2590.742885 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2592.586752 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2589.857299 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2590.341719 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2590.702930 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2589.933571 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2589.929880 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2589.597299 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2590.533599 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2590.202207 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2592.445180 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2589.996578 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2590.419777 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2591.436971 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2590.467230 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2590.675127 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2596.279303 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2592.571497 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2592.423897 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2591.213799 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2590.297146 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2589.591340 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2591.205876 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2591.674572 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2592.545471 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2590.538674 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2594.789342 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2590.733650 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2593.186276 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2591.251757 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2591.329570 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2590.566061 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2597.085175 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2595.773919 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2589.998117 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2591.815930 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2591.496575 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2590.334875 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2595.209172 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2591.518678 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2591.211781 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2590.951866 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2591.897413 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2590.477940 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2589.951612 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2590.679531 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2590.851501 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2590.412308 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2589.985272 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2596.651283 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2590.312295 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2592.998750 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2591.372354 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2589.705697 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2590.894771 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2592.051769 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2589.574243 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2591.654868 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2591.490101 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2591.570147 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2592.357774 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2591.596151 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2589.629862 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2590.503448 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2590.528930 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2592.032511 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2590.244396 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2589.769054 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2590.714765 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2589.781194 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2591.713482 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2591.5 S.D. = 1.9662 S.E.M. = 0.027806 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Binomial) Estimation algorithm: MCMC Elapsed time : 2.92s 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 2591.522 2589.572 1.950 2593.472 --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + obsage Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.43710 0.04510 -9.69 3.281e-22 *** -0.52199 -0.34799 1111 obsage 0.00490 0.00450 1.09 0.2762 -0.00414 0.01355 1175 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 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > ## Adjust for the measurement errors > (mymodel <- runMLwiN(logit(use) ~ 1 + obsage, D = "Binomial", estoptions = list(EstM = 1, merr = c(N = 1, + "obsage", 25)), 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 RUNNING ADAPTIVE PROCEDURE AND BURNING IN... Adapting for 100 iterations (Maximum 5000) -2 * Loglike = 2587.296697 Adapting for 200 iterations (Maximum 5000) -2 * Loglike = 2590.917904 Adapting for 300 iterations (Maximum 5000) -2 * Loglike = 2589.351124 Adapting for 400 iterations (Maximum 5000) -2 * Loglike = 2591.896449 Adapting for 500 iterations (Maximum 5000) -2 * Loglike = 2591.706105 Adapting for 600 iterations (Maximum 5000) -2 * Loglike = 2591.515255 Adapting for 700 iterations (Maximum 5000) -2 * Loglike = 2591.949838 Adapting for 800 iterations (Maximum 5000) -2 * Loglike = 2594.326103 Adapting for 900 iterations (Maximum 5000) -2 * Loglike = 2588.150069 Adapting for 1000 iterations (Maximum 5000) -2 * Loglike = 2589.923420 Adapting for 1100 iterations (Maximum 5000) -2 * Loglike = 2594.209432 Adapting for 1200 iterations (Maximum 5000) -2 * Loglike = 2589.788355 Adapting for 1300 iterations (Maximum 5000) -2 * Loglike = 2594.735322 Adapting for 1400 iterations (Maximum 5000) -2 * Loglike = 2589.281035 Adapting for 1500 iterations (Maximum 5000) -2 * Loglike = 2591.736834 Adapting for 1600 iterations (Maximum 5000) -2 * Loglike = 2586.839461 Adapting for 1700 iterations (Maximum 5000) -2 * Loglike = 2588.688721 Adapting finished and took 1800 iterations Adapting took 1800 iterations Burning in for 50 iterations out of 500 -2 * Loglike = 2590.576466 Burning in for 100 iterations out of 500 -2 * Loglike = 2591.915352 Burning in for 150 iterations out of 500 -2 * Loglike = 2592.777747 Burning in for 200 iterations out of 500 -2 * Loglike = 2590.017124 Burning in for 250 iterations out of 500 -2 * Loglike = 2588.691006 Burning in for 300 iterations out of 500 -2 * Loglike = 2590.087763 Burning in for 350 iterations out of 500 -2 * Loglike = 2589.218394 Burning in for 400 iterations out of 500 -2 * Loglike = 2591.784592 Burning in for 450 iterations out of 500 -2 * Loglike = 2589.934634 Burning in for 500 iterations out of 500 -2 * Loglike = 2591.717224 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 = 2593.801457 Actual update 100 of 5000, Stored update 100 of 5000 -2 * Loglike = 2593.732311 Actual update 150 of 5000, Stored update 150 of 5000 -2 * Loglike = 2591.501635 Actual update 200 of 5000, Stored update 200 of 5000 -2 * Loglike = 2589.968686 Actual update 250 of 5000, Stored update 250 of 5000 -2 * Loglike = 2589.932230 Actual update 300 of 5000, Stored update 300 of 5000 -2 * Loglike = 2596.655870 Actual update 350 of 5000, Stored update 350 of 5000 -2 * Loglike = 2590.127903 Actual update 400 of 5000, Stored update 400 of 5000 -2 * Loglike = 2590.067537 Actual update 450 of 5000, Stored update 450 of 5000 -2 * Loglike = 2588.771925 Actual update 500 of 5000, Stored update 500 of 5000 -2 * Loglike = 2591.800016 Actual update 550 of 5000, Stored update 550 of 5000 -2 * Loglike = 2589.154095 Actual update 600 of 5000, Stored update 600 of 5000 -2 * Loglike = 2589.218438 Actual update 650 of 5000, Stored update 650 of 5000 -2 * Loglike = 2587.029599 Actual update 700 of 5000, Stored update 700 of 5000 -2 * Loglike = 2587.352441 Actual update 750 of 5000, Stored update 750 of 5000 -2 * Loglike = 2591.050325 Actual update 800 of 5000, Stored update 800 of 5000 -2 * Loglike = 2590.050677 Actual update 850 of 5000, Stored update 850 of 5000 -2 * Loglike = 2592.606194 Actual update 900 of 5000, Stored update 900 of 5000 -2 * Loglike = 2589.928948 Actual update 950 of 5000, Stored update 950 of 5000 -2 * Loglike = 2591.498326 Actual update 1000 of 5000, Stored update 1000 of 5000 -2 * Loglike = 2595.436023 Actual update 1050 of 5000, Stored update 1050 of 5000 -2 * Loglike = 2589.268145 Actual update 1100 of 5000, Stored update 1100 of 5000 -2 * Loglike = 2594.293472 Actual update 1150 of 5000, Stored update 1150 of 5000 -2 * Loglike = 2593.869591 Actual update 1200 of 5000, Stored update 1200 of 5000 -2 * Loglike = 2589.049693 Actual update 1250 of 5000, Stored update 1250 of 5000 -2 * Loglike = 2592.859466 Actual update 1300 of 5000, Stored update 1300 of 5000 -2 * Loglike = 2591.997995 Actual update 1350 of 5000, Stored update 1350 of 5000 -2 * Loglike = 2592.253875 Actual update 1400 of 5000, Stored update 1400 of 5000 -2 * Loglike = 2588.742808 Actual update 1450 of 5000, Stored update 1450 of 5000 -2 * Loglike = 2591.575817 Actual update 1500 of 5000, Stored update 1500 of 5000 -2 * Loglike = 2592.124739 Actual update 1550 of 5000, Stored update 1550 of 5000 -2 * Loglike = 2588.054433 Actual update 1600 of 5000, Stored update 1600 of 5000 -2 * Loglike = 2591.351245 Actual update 1650 of 5000, Stored update 1650 of 5000 -2 * Loglike = 2591.128259 Actual update 1700 of 5000, Stored update 1700 of 5000 -2 * Loglike = 2591.167754 Actual update 1750 of 5000, Stored update 1750 of 5000 -2 * Loglike = 2592.132583 Actual update 1800 of 5000, Stored update 1800 of 5000 -2 * Loglike = 2590.972674 Actual update 1850 of 5000, Stored update 1850 of 5000 -2 * Loglike = 2592.087644 Actual update 1900 of 5000, Stored update 1900 of 5000 -2 * Loglike = 2591.336572 Actual update 1950 of 5000, Stored update 1950 of 5000 -2 * Loglike = 2592.243831 Actual update 2000 of 5000, Stored update 2000 of 5000 -2 * Loglike = 2590.513777 Actual update 2050 of 5000, Stored update 2050 of 5000 -2 * Loglike = 2592.682514 Actual update 2100 of 5000, Stored update 2100 of 5000 -2 * Loglike = 2590.642406 Actual update 2150 of 5000, Stored update 2150 of 5000 -2 * Loglike = 2591.280187 Actual update 2200 of 5000, Stored update 2200 of 5000 -2 * Loglike = 2585.319839 Actual update 2250 of 5000, Stored update 2250 of 5000 -2 * Loglike = 2592.336145 Actual update 2300 of 5000, Stored update 2300 of 5000 -2 * Loglike = 2591.285905 Actual update 2350 of 5000, Stored update 2350 of 5000 -2 * Loglike = 2593.065948 Actual update 2400 of 5000, Stored update 2400 of 5000 -2 * Loglike = 2591.052767 Actual update 2450 of 5000, Stored update 2450 of 5000 -2 * Loglike = 2592.235381 Actual update 2500 of 5000, Stored update 2500 of 5000 -2 * Loglike = 2590.701800 Actual update 2550 of 5000, Stored update 2550 of 5000 -2 * Loglike = 2590.319799 Actual update 2600 of 5000, Stored update 2600 of 5000 -2 * Loglike = 2592.135881 Actual update 2650 of 5000, Stored update 2650 of 5000 -2 * Loglike = 2592.089608 Actual update 2700 of 5000, Stored update 2700 of 5000 -2 * Loglike = 2587.947954 Actual update 2750 of 5000, Stored update 2750 of 5000 -2 * Loglike = 2589.939323 Actual update 2800 of 5000, Stored update 2800 of 5000 -2 * Loglike = 2589.739719 Actual update 2850 of 5000, Stored update 2850 of 5000 -2 * Loglike = 2590.722767 Actual update 2900 of 5000, Stored update 2900 of 5000 -2 * Loglike = 2590.541238 Actual update 2950 of 5000, Stored update 2950 of 5000 -2 * Loglike = 2592.168696 Actual update 3000 of 5000, Stored update 3000 of 5000 -2 * Loglike = 2591.036347 Actual update 3050 of 5000, Stored update 3050 of 5000 -2 * Loglike = 2590.307136 Actual update 3100 of 5000, Stored update 3100 of 5000 -2 * Loglike = 2591.845229 Actual update 3150 of 5000, Stored update 3150 of 5000 -2 * Loglike = 2591.013616 Actual update 3200 of 5000, Stored update 3200 of 5000 -2 * Loglike = 2597.385478 Actual update 3250 of 5000, Stored update 3250 of 5000 -2 * Loglike = 2590.345531 Actual update 3300 of 5000, Stored update 3300 of 5000 -2 * Loglike = 2595.514683 Actual update 3350 of 5000, Stored update 3350 of 5000 -2 * Loglike = 2589.426875 Actual update 3400 of 5000, Stored update 3400 of 5000 -2 * Loglike = 2592.861416 Actual update 3450 of 5000, Stored update 3450 of 5000 -2 * Loglike = 2592.858537 Actual update 3500 of 5000, Stored update 3500 of 5000 -2 * Loglike = 2588.138266 Actual update 3550 of 5000, Stored update 3550 of 5000 -2 * Loglike = 2589.571574 Actual update 3600 of 5000, Stored update 3600 of 5000 -2 * Loglike = 2589.433225 Actual update 3650 of 5000, Stored update 3650 of 5000 -2 * Loglike = 2590.601317 Actual update 3700 of 5000, Stored update 3700 of 5000 -2 * Loglike = 2589.952170 Actual update 3750 of 5000, Stored update 3750 of 5000 -2 * Loglike = 2590.395170 Actual update 3800 of 5000, Stored update 3800 of 5000 -2 * Loglike = 2589.826861 Actual update 3850 of 5000, Stored update 3850 of 5000 -2 * Loglike = 2588.102185 Actual update 3900 of 5000, Stored update 3900 of 5000 -2 * Loglike = 2590.297300 Actual update 3950 of 5000, Stored update 3950 of 5000 -2 * Loglike = 2592.796900 Actual update 4000 of 5000, Stored update 4000 of 5000 -2 * Loglike = 2589.577441 Actual update 4050 of 5000, Stored update 4050 of 5000 -2 * Loglike = 2593.019622 Actual update 4100 of 5000, Stored update 4100 of 5000 -2 * Loglike = 2589.501620 Actual update 4150 of 5000, Stored update 4150 of 5000 -2 * Loglike = 2588.790930 Actual update 4200 of 5000, Stored update 4200 of 5000 -2 * Loglike = 2594.319619 Actual update 4250 of 5000, Stored update 4250 of 5000 -2 * Loglike = 2585.809142 Actual update 4300 of 5000, Stored update 4300 of 5000 -2 * Loglike = 2590.817792 Actual update 4350 of 5000, Stored update 4350 of 5000 -2 * Loglike = 2592.989553 Actual update 4400 of 5000, Stored update 4400 of 5000 -2 * Loglike = 2590.839469 Actual update 4450 of 5000, Stored update 4450 of 5000 -2 * Loglike = 2590.779146 Actual update 4500 of 5000, Stored update 4500 of 5000 -2 * Loglike = 2593.870488 Actual update 4550 of 5000, Stored update 4550 of 5000 -2 * Loglike = 2587.615504 Actual update 4600 of 5000, Stored update 4600 of 5000 -2 * Loglike = 2586.987066 Actual update 4650 of 5000, Stored update 4650 of 5000 -2 * Loglike = 2591.021368 Actual update 4700 of 5000, Stored update 4700 of 5000 -2 * Loglike = 2588.872930 Actual update 4750 of 5000, Stored update 4750 of 5000 -2 * Loglike = 2590.412870 Actual update 4800 of 5000, Stored update 4800 of 5000 -2 * Loglike = 2592.596384 Actual update 4850 of 5000, Stored update 4850 of 5000 -2 * Loglike = 2591.742665 Actual update 4900 of 5000, Stored update 4900 of 5000 -2 * Loglike = 2596.675991 Actual update 4950 of 5000, Stored update 4950 of 5000 -2 * Loglike = 2588.900644 Actual update 5000 of 5000, Stored update 5000 of 5000 -2 * Loglike = 2594.443487 PUPN c1003 c1004 AVER c1091 b99 b100 Count = 5000 Average = 2590.9 S.D. = 2.5187 S.E.M. = 0.035619 ECHO 0 Execution completed -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- MLwiN (version: 3.11) multilevel model (Binomial) Estimation algorithm: MCMC Elapsed time : 7.92s Number of obs: 1934 (from total 1934) Number of iter.: 5000 Chains: 1 Burn-in: 500 Deviance statistic: NA --------------------------------------------------------------------------------------------------- The model formula: logit(use) ~ 1 + obsage Level 1: l1id --------------------------------------------------------------------------------------------------- The fixed part estimates: Coef. Std. Err. z Pr(>|z|) [95% Cred. Interval] ESS Intercept -0.43839 0.04655 -9.42 4.625e-21 *** -0.53559 -0.35113 1084 obsage 0.00674 0.00591 1.14 0.2542 -0.00467 0.01836 843 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 -*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*- > > # 14.4 Measurement errors in more than one variable and > # misclassifications . . . . . . . . . . . . . . . . . . . . . . . .211 > > # Chapter learning outcomes . . . . . . . . . . . . . . . . . . . . . . .128 > > > > > > ############################################################################ > > proc.time() user system elapsed 5.21 0.79 37.34