#' Strip-Split-Plot Design
#'
#' This function creates the fieldbook and fieldplan for a Strip-Split-Plot design.
#' @param A The levels of factor A (row factor).
#' @param B The levels of factor B (column factor).
#' @param nb Number of blocks.
#' @param serpentine \code{"yes"} or \code{"no"}, default \code{"yes"}.
#' @param alongside \code{"no"} for independent blocks, or \code{"rows"}
#' or \code{"columns"} if blocks are together alongside rows or columns.
#' @return It returns the fieldbook and fieldplan.
#' @author Raul Eyzaguirre.
#' @examples
#' A <- paste0("a", 1:4)
#' B <- paste0("b", 1:3)
#' cr.strd(A, B, 3)
#' @export
cr.strd <- function(A, B, nb, serpentine = c("yes", "no"),
alongside = c("no", "rows", "columns")) {
# Match arguments
serpentine <- match.arg(serpentine)
alongside <- match.arg(alongside)
# Error messages
nla <- length(A)
nlb <- length(B)
if (nb < 2)
stop("Include at least 2 blocks.")
if (nla < 2)
stop("Include at least 2 levels for factor A.")
if (nlb < 2)
stop("Include at least 2 levels for factor B.")
# Fieldplan array
plan.id <- fp(nla, nlb, serpentine)
plan <- array(dim = c(nla, nlb, nb))
rownames(plan) <- paste("row", 1:nla)
colnames(plan) <- paste("col", 1:nlb)
dimnames(plan)[[3]] <- paste("block", 1:nb)
# Random order for A and B levels
rana <- array(dim = c(nla, nb))
ranb <- array(dim = c(nlb, nb))
for (i in 1:nb) {
rana[, i] <- sample(1:nla)
ranb[, i] <- sample(1:nlb)
plan[, , i] <- outer(A[rana[, i]], B[ranb[, i]], paste, sep = ":-p")
}
# Create fielbook
row <- rep(as.integer(gl(nla, nlb)), nb)
col <- rep(rep(1:nlb, nla), nb)
block <- as.integer(gl(nb, nla * nlb))
sta <- NULL
stb <- NULL
stab <- NULL
plot <- NULL
for (i in 1:nb) {
sta <- c(sta, c(sapply(A[rana[, i]], rep, nlb)))
stb <- c(stb, rep(B[ranb[, i]], nla))
stab <- c(stab, c(t(plan[, , i])))
plot <- c(plot, c(t(plan.id)) + nla * nlb * (i - 1))
}
book <- data.frame(plot, block, row, col,
A = sta, B = stb, treat = stab, stringsAsFactors = F)
# Sort by plot number
if (serpentine == 'yes')
book <- book[sort(book$plot, index.return = TRUE)$ix, ]
rownames(book) <- 1:dim(book)[1]
# Replace characters for treatment names
plan <- gsub(":-p", "_", plan)
book$treat <- gsub(":-p", "_", book$treat)
# Change row and column numbers if required
if (alongside == "rows") {
plan <- t(apply(plan, 1, rbind))
colnames(plan) <- paste("col", 1:dim(plan)[2])
book$col <- book$col + (book$block - 1) * nlb
}
if (alongside == "columns") {
plan <- apply(plan, 2, rbind)
rownames(plan) <- paste("row", 1:dim(plan)[1])
book$row <- book$row + (book$block - 1) * nla
}
# Return
list(plan = plan, book = book)
}
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