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#' @title Example 8.1.1 from Experimental Design and Analysis for Tree Improvement
#' @name Exam8.1.1
#' @description Exam8.1.1 presents the Mixed Effects Analysis of Diameter at breast height (Dbh) of 60 SeedLots
#' under layout of row column design with 6 rows and 10 columns in 18
#' countries and 59 provinces of 18 selected countries given in Example 8.1.
#' @author
#' \enumerate{
#' \item Muhammad Yaseen (\email{myaseen208@@gmail.com})
#' \item Sami Ullah (\email{samiullahuos@@gmail.com})
#' }
#'
#' @references
#' \enumerate{
#' \item E.R. Williams, C.E. Harwood and A.C. Matheson (2023). \emph{Experimental Design and Analysis for Tree Improvement}.
#' CSIRO Publishing (\href{https://www.publish.csiro.au/book/3145/}{https://www.publish.csiro.au/book/3145/}).
#' }
#'
#' @seealso
#' \code{\link{DataExam8.1}}
#'
#' @importFrom car Anova
#' @import dae
#' @import dplyr
#' @importFrom emmeans emmeans emmip
#' @import ggplot2
#' @importFrom lmerTest lmer
#' @importFrom magrittr %>%
#' @import predictmeans
#' @importFrom stats lm anova model.tables
#'
#' @examples
#' library(car)
#' library(dae)
#' library(dplyr)
#' library(emmeans)
#' library(ggplot2)
#' library(lmerTest)
#' library(magrittr)
#' library(predictmeans)
#'
#' data(DataExam8.1)
#'
#' # Pg. 155
#' fm8.8 <-
#' lmerTest::lmer(
#' formula = dbh ~ 1 + repl + col + prov +
#' (1|repl:row) + (1|repl:col)
#' , data = DataExam8.1
#' , REML = TRUE
#' )
#'
#' # Pg. 157
#' \dontrun{
#' varcomp(fm8.8)
#' }
#'
#' anova(fm8.8)
#' anova(fm8.8, ddf = "Kenward-Roger")
#'
#' predictmeans(model = fm8.8, modelterm = "repl")
#' predictmeans(model = fm8.8, modelterm = "col")
#' predictmeans(model = fm8.8, modelterm = "prov")
#'
#' # Pg. 161
#' RCB1 <-
#' aov(dbh ~ prov + repl, data = DataExam8.1)
#' RCB <-
#' emmeans(RCB1, specs = "prov") %>%
#' as_tibble()
#'
#' Mixed <-
#' emmeans(fm8.8, specs = "prov") %>%
#' as_tibble()
#'
#' table8.9 <-
#' left_join(
#' x = RCB
#' , y = Mixed
#' , by = "prov"
#' , suffix = c(".RCBD", ".Mixed")
#' )
#' print(table8.9)
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