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#' The function predict.clmdu makes predictions for a test/validation set
#' based on a fitted cl restricted multidimensional unfolding model (clmdu with X)
#'
#' @param object An \code{clmdu} object
#' @param newX An N by P matrix with predictor variables for a test/validation set
#' @param newY An N by R matrix with response variables for a test/validation set
#' @param \dots additional arguments to be passed.
#'
#' @return This function returns an object of the class \code{predclpca} with components:
#' \item{Yhat}{Predicted values for the test set}
#' \item{devr}{Estimated prediction deviance for separate responses}
#' \item{devtot}{Estimated prediction deviance for all responses}
#'
#' @examples
#' \dontrun{
#' data(dataExample_clpca)
#' Y = as.matrix(dataExample_clmdu[ , 1:8])
#' X = as.matrix(dataExample_clmdu[ , 9:13])
#' newY = as.matrix(dataExample_clmdu[1:20 , 1:8])
#' newX = as.matrix(dataExample_clmdu[1:20 , 9:13])
#' # supervised
#' output = clmdu(Y = Y, X = X, S = 2)
#' preds = predict(output, newX = newX, newY = newY)
#' }
#'
#' @importFrom stats plogis
#' @importFrom nnet class.ind
#'
#' @export
predict.clmdu = function(object, newX, newY = NULL,...){
if(is.null(object$X)) stop("The predict function is only implemented for supervised analysis")
X = scale(newX, center = object$mx, scale = object$sdx)
theta = twomodedistance(X %*% object$B, object$V)
R = ncol(theta)
Yhat <- vector(mode = "list", length = R)
for(r in 1:R){
zeta = c(-Inf, object$m[[r]], Inf)
Cr = length(zeta)
P = plogis(outer(rep(1,nrow(X)), zeta) + outer(theta[, r], rep(1, Cr)))
Yhat[[r]] = t(apply(P, 1, diff))
}
if(!is.null(newY)){
devr = rep(NA, R)
for(r in 1:R){
G = class.ind(newY[ , r])
YY = Yhat[[r]]
devr[r] = -2 * sum( log(YY[G == 1] ) )
}
devtot <- sum(devr)
}
else{
devr = NULL
devtot = NULL
}
# make output object
output = list(
Yhat = Yhat,
devr = devr,
devtot = devtot
)
class(output) = "predclmdu"
return(output)
}
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