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\name{AvgDailyGain}\alias{AvgDailyGain}\title{Average daily weight gain of steers on different diets}\description{The \code{AvgDailyGain} data frame has 32 rows and 6 columns.}\format{This data frame contains the following columns:\describe{\item{Id}{the animal number}\item{Block}{an ordered factor indicating the barn in which the steer was housed.}\item{Treatment}{an ordered factor with levels\code{0} < \code{10} < \code{20} < \code{30}indicating the amount of medicated feed additive added tothe base ration.}\item{adg}{a numeric vector of average daily weight gains over a periodof 160 days.}\item{InitWt}{a numeric vector giving the initial weight of the animal}\item{Trt}{the \code{Treatment} as a numeric variable}}}\source{Littel, R. C., Milliken, G. A., Stroup, W. W., and Wolfinger,R. D. (1996), \emph{SAS System for Mixed Models}, SAS Institute(Data Set 5.3).}\examples{str(AvgDailyGain)if (require("lattice", quietly = TRUE, character = TRUE)) {## plot of adg versus Treatment by Blockxyplot(adg ~ Treatment | Block, AvgDailyGain, type = c("g", "p", "r"),xlab = "Treatment (amount of feed additive)",ylab = "Average daily weight gain (lb.)", aspect = "xy",index.cond = function(x, y) coef(lm(y ~ x))[1])}if (require("lme4", quietly = TRUE, character = TRUE)) {options(contrasts = c(unordered = "contr.SAS", ordered = "contr.poly"))## compare with output 5.1, p. 178print(fm1Adg <- lmer(adg ~ InitWt * Treatment - 1 + (1 | Block),AvgDailyGain))print(anova(fm1Adg)) # checking significance of termsprint(fm2Adg <- lmer(adg ~ InitWt + Treatment + (1 | Block),AvgDailyGain))print(anova(fm2Adg))print(lmer(adg ~ InitWt + Treatment - 1 + (1 | Block), AvgDailyGain))}}\keyword{datasets}