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#' Computes prediction
#' @description
#' Similar to other predict methods, this functions predicts fitted values from a fitted sglfit object.
#' @details
#' \code{s} is the new vector at which predictions are to be made. If s is not in the lambda sequence used for fitting the model, the predict function will use linear interpolation to make predictions. The new values are interpolated using a fraction of predicted values from both left and right \eqn{lambda} indices.
#' @param object fitted \code{\link{sglfit}} model object.
#' @param newx matrix of new values for x at which predictions are to be made. NOTE: \code{newx} must be a matrix, predict function does not accept a vector or other formats of newx.
#' @param s value(s) of the penalty parameter \eqn{lambda} at which predictions are to be made. Default is the entire sequence used to create the model.
#' @param type type of prediction required. Only response is available. Gives predicted response for regression problems.
#' @param method choose between 'single', 'pooled', and 'fe'.
#' @param ... Not used. Other arguments to predict.
#' @return The object returned depends on type.
#' @export predict.sglpath
predict.sglpath <- function(object, newx, s = NULL, type = c("response"), method = c("single","pooled","fe"), ...) {
type <- match.arg(type)
method <- match.arg(method)
if (method == "single" || method == "pooled"){
b0 <- t(as.matrix(object$b0))
rownames(b0) <- "(Intercept)"
nbeta <- methods::rbind2(b0, object$beta)
if (!is.null(s)) {
vnames <- dimnames(nbeta)[[1]]
dimnames(nbeta) <- list(NULL, NULL)
lambda <- object$lambda
lamlist <- lambda.interp(lambda, s)
nbeta <- nbeta[,lamlist$left,drop=FALSE]%*%Matrix::Diagonal(x=lamlist$frac) +
nbeta[,lamlist$right,drop=FALSE]%*%Matrix::Diagonal(x=1-lamlist$frac)
dimnames(nbeta) <- list(vnames, paste(seq(along = s)))
}
nfit <- as.matrix(as.matrix(methods::cbind2(1, newx)) %*% nbeta)
}
if (method == "fe"){
a0 <- object$a0
N <- object$nf
T <- dim(newx)[1]/N
nbeta <- methods::rbind2(a0, object$beta)
if (!is.null(s)) {
vnames <- dimnames(nbeta)[[1]]
dimnames(nbeta) <- list(NULL, NULL)
lambda <- object$lambda
lamlist <- lambda.interp(lambda, s)
nbeta <- nbeta[,lamlist$left,drop=FALSE]%*%Matrix::Diagonal(x=lamlist$frac) +
nbeta[,lamlist$right,drop=FALSE]%*%Matrix::Diagonal(x=1-lamlist$frac)
dimnames(nbeta) <- list(vnames, paste(seq(along = s)))
}
nfit <- as.matrix(as.matrix(methods::cbind2(kronecker(diag(N), rep(1, times=T)),newx)) %*% nbeta)
}
nfit
}
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