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\name{Assay}\alias{Assay}\title{Bioassay on Cell Culture Plate}\description{The \code{Assay} data frame has 60 rows and 4 columns.}\format{This data frame contains the following columns:\describe{\item{Block}{an factor with levels \code{A} and \code{B}identifying the block of the well}\item{sample}{a factor with levels \code{a} to \code{f} identifying thesample corresponding to the well}\item{dilut}{an ordered factor with levels \code{1} to \code{5}indicating the dilution applied to the well}\item{logDens}{a numeric vector of the log-optical density}}}\details{These data, courtesy of Rich Wolfe and David Lansky from Searle,Inc., come from a bioassay run on a 96-well cell culture plate. Theassay is performed using a split-block design. The 8 rows on theplate are labeled A--H from top to bottom and the 12 columns on theplate are labeled 1--12 from left to right. Only the central 60 wellsof the plate are used for the bioassay (the intersection of rows B--Gand columns 2--11). There are two blocks in the design: Block Acontains columns 2--6 and Block B contains columns 7--11. Within eachblock, six samples are assigned randomly to rows and five (serial)dilutions are assigned randomly to columns. The response variable isthe logarithm of the optical density. The cells are treated with acompound that they metabolize to produce the stain. Only live cellscan make the stain, so the optical density is a measure of the numberof cells that are alive and healthy.}\source{Pinheiro, J. C. and Bates, D. M. (2000), \emph{Mixed-Effects Models in Sand S-PLUS}, Springer, New York. (Appendix A.2)}\examples{str(Assay)m1 <- lmer(logDens ~ sample * dilut + (1|Block) + (1|Block:sample) +(1|Block:dilut), Assay, verbose = TRUE)print(m1, corr = FALSE)anova(m1)m2 <- lmer(logDens ~ sample + dilut + (1|Block) + (1|Block:sample) +(1|Block:dilut), Assay, verbose = TRUE)print(m2, corr = FALSE)anova(m2)m3 <- lmer(logDens ~ sample + dilut + (1|Block) + (1|Block:sample),Assay, verbose = TRUE)print(m3, corr = FALSE)anova(m3)anova(m2, m3)}\keyword{datasets}