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#' Transform a Multivariate Linear model mlm to a Canonical Representation
#' This function uses \code{\link{candisc}} to transform the responses in a
#' multivariate linear model to scores on canonical variables for a given term and then uses
#' those scores as responses in a linear (lm) or multivariate linear model (mlm).
#' @param mod A \code{mlm} object
#' @param term One term in that model
#' @param ... Arguments passed to \code{\link{candisc}}
#' @return A \code{lm} object if \code{term} is a rank 1 hypothesis, otherwise a \code{mlm} object
can_lm <- function(mod, term, ...) {
# require(candisc)
if (!(inherits(mod, "mlm"))) stop("model must be a mlm")
term.names <- gsub(" ", "", labels(terms(mod)))
which.term <- which(term == term.names)
if (length(which.term)==0) stop(term, " does not appear in the model")
can <- candisc(mod, term, ...)
# term <- mod$term # term for which candisc was done
lm.terms <- can$terms # terms in original lm
scores <- can$scores
resp <- if (can$rank==1) "Can1" else
paste("cbind(", paste("Can",1:can$rank,sep="", collapse = ","), ")")
txt <- paste("lm(", resp, " ~ ",
paste( lm.terms, collapse = "+"), ", data=scores)" )
can.mod <- eval(parse(text=txt))
can.mod
}
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