#' @title Example 5.2 from Generalized Linear Mixed Models: Modern Concepts, Methods and Applications by Walter W. Stroup(p-164)
#' @name Exam5.2
#' @docType data
#' @keywords datasets
#' @description Exam5.2 three factor main effects only design
#' @author \enumerate{
#' \item Muhammad Yaseen (\email{myaseen208@@gmail.com})
#' \item Adeela Munawar (\email{adeela.uaf@@gmail.com})
#' }
#' @references \enumerate{
#' \item Stroup, W. W. (2012).
#' \emph{Generalized Linear Mixed Models: Modern Concepts, Methods and Applications}.
#' CRC Press.
#' }
#' @seealso
#' \code{\link{DataSet5.2}}
#'
#' @importFrom lsmeans lsmeans contrast
#'
#' @examples
#'
#'DataSet5.2$a <- factor( x = DataSet5.2$a)
#'DataSet5.2$b <- factor( x = DataSet5.2$b)
#'DataSet5.2$c <- factor(x = DataSet5.2$c)
#' ##---first adding factor a in model
#' Exam5.2.lm1 <-
#' lm(
#' formula = y~ a
#' , data = DataSet5.2
#' # , subset
#' # , weights
#' # , na.action
#' , method = "qr"
#' , model = TRUE
#' # , x = FALSE
#' # , y = FALSE
#' , qr = TRUE
#' , singular.ok = TRUE
#' , contrasts = NULL
#' # , offset
#' # , ...
#' )
#' summary( Exam5.2.lm1 )
#'
#' library(lsmeans)
#' ##---A first
#' ( Lsm5.2lm1 <-
#' lsmeans::lsmeans(
#' object = Exam5.2.lm1
#' , specs = "a"
#' # , ...
#' )
#' )
#' ## lsmeans::contrast(object = Lsm5.2lm1 , method = "pairwise")
#' Anovalm1 <- anova(object = Exam5.2.lm1)
#' Anovalm1
#'
#' ##---then adding factor b in model
#' Exam5.2.lm2 <-
#' lm(
#' formula = y~ a + b
#' , data = DataSet5.2
#' # , subset
#' # , weights
#' # , na.action
#' , method = "qr"
#' , model = TRUE
#' # , x = FALSE
#' # , y = FALSE
#' , qr = TRUE
#' , singular.ok = TRUE
#' , contrasts = NULL
#' # , offset
#' # , ...
#' )
#' summary( Exam5.2.lm1 )
#' (Lsm5.2lm2 <-
#' lsmeans::lsmeans(
#' object = Exam5.2.lm2
#' , specs = "b"
#' # , ...
#' )
#' )
#' ## lsmeans::contrast(object = Lsm5.2lm2, method = "pairwise")
#' Anovalm2 <- anova(object = Exam5.2.lm2)
#' Anovalm2
#'
#' ##---then adding factor c in model
#' Exam5.2.lm3 <-
#' lm(
#' formula = y~ a + b + c
#' , data = DataSet5.2
#' # , subset
#' # , weights
#' # , na.action
#' , method = "qr"
#' , model = TRUE
#' # , x = FALSE
#' # , y = FALSE
#' , qr = TRUE
#' , singular.ok = TRUE
#' , contrasts = NULL
#' # , offset
#' # , ...
#' )
#' summary( Exam5.2.lm3 )
#' (Lsm5.2lm3 <-
#' lsmeans::lsmeans(
#' object = Exam5.2.lm3
#' , specs = "c"
#' # , ...
#' )
#' )
#' ## lsmeans::contrast(object = Lsm5.2lm3, method = "pairwise")
#' Anovalm3 <- anova(object = Exam5.2.lm3)
#' Anovalm3
#'
#' ##---Now Change the order and add b first in model
#' Exam5.2.lm4 <-
#' lm(
#' formula = y~ b
#' , data = DataSet5.2
#' # , subset
#' # , weights
#' # , na.action
#' , method = "qr"
#' , model = TRUE
#' # , x = FALSE
#' # , y = FALSE
#' , qr = TRUE
#' , singular.ok = TRUE
#' , contrasts = NULL
#' # , offset
#' # , ...
#' )
#' summary( Exam5.2.lm4 )
#' (Lsm5.2lm4 <-
#' lsmeans::lsmeans(
#' object = Exam5.2.lm4
#' , specs = "b"
#' # , ...
#' )
#' )
#' ## lsmeans::contrast(object = Lsm5.2lm4, method = "pairwise")
#' Anovalm4 <- anova(object = Exam5.2.lm4)
#'
#' ##---then adding factor a in model
#' Exam5.2.lm5 <-
#' lm(
#' formula = y~ b + a
#' , data = DataSet5.2
#' # , subset
#' # , weights
#' # , na.action
#' , method = "qr"
#' , model = TRUE
#' # , x = FALSE
#' # , y = FALSE
#' , qr = TRUE
#' , singular.ok = TRUE
#' , contrasts = NULL
#' # , offset
#' # , ...
#' )
#' summary( Exam5.2.lm5 )
#' (Lsm5.2lm5 <-
#' lsmeans::lsmeans(
#' object = Exam5.2.lm5
#' , specs = "a"
#' # , ...
#' )
#' )
#' ## lsmeans::contrast(object = Lsm5.2lm3, method = "pairwise")
#' Anovalm5 <- anova(object = Exam5.2.lm5)
#' Anovalm5
NULL
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