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# MLwiN User Manual
#
# 3 Residuals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
#
# Rasbash, J., Steele, F., Browne, W. J. and Goldstein, H. (2012).
# A User's Guide to MLwiN, v2.26. Centre for Multilevel Modelling,
# University of Bristol.
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# 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/
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library(R2MLwiN)
# 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)
# 3.1 What are multilevel residuals? . . . . . . . . . . . . . . . . . . .37
data(tutorial, package = "R2MLwiN")
(mymodel1 <- runMLwiN(normexam ~ 1 + (1 | school) + (1 | student), data = tutorial, estoptions = list(resi.store = TRUE)))
# 3.2 Calculating residuals in MLwiN . . . . . . . . . . . . . . . . . . .40
residuals <- mymodel1@residual$lev_2_resi_est_Intercept
residualsCI <- 1.96 * sqrt(mymodel1@residual$lev_2_resi_var_Intercept)
residualsRank <- rank(residuals)
rankno <- order(residualsRank)
caterpillar(y = residuals[rankno], x = 1:65, qtlow = (residuals - residualsCI)[rankno],
qtup = (residuals + residualsCI)[rankno], xlab = 'Rank', ylab = 'Intercept')
# 3.3 Normal plots . . . . . . . . . . . . . . . . . . . . . . . . . . . .43
e0 <- mymodel1@residual$lev_1_resi_est_Intercept
e0std <- (e0 - mean(e0))/sd(e0)
e0rank <- rank(e0)
e0uniform <- (e0rank - 0.5)/length(e0rank)
e0nscore <- qnorm(e0uniform)
plot(e0nscore, e0std, asp = 1)
u0 <- mymodel1@residual$lev_2_resi_est_Intercept
u0std <- (u0 - mean(u0))/sd(u0)
u0rank <- rank(u0)
u0uniform <- (u0rank - 0.5)/length(u0rank)
u0nscore <- qnorm(u0uniform)
plot(u0nscore, u0std, asp = 1)
# Chapter learning outcomes . . . . . . . . . . . . . . . . . . . . . . . 45
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