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#' Predict values from an 'em.glm' model.
#' @param object An em.glm fit object.
#' @inheritParams em.glm
#' @param type Prediction type. Currently can be 'count' for the weighted prediction, 'rate' for the expected rate or 'rho' for the linear predictor.
#' @param ... optionally more fitted model objects.
#' @return N-length vector of predicted terms.
#'
#' @examples
#' x <- model.matrix(~ factor(wool) + factor(tension), warpbreaks)
#' y <- warpbreaks$breaks
#'
#' m <- em.glm(x = x, y = y, K = 2, b.init = "random")
#'
#' predict(m, x = x, y = y, weight = c(1))
#'
#' @export
predict.em.glm <- function(object, x, y, weight, type = "count", ...){
family <- object$family
dprob <- dprob.list[[family$family]](x=x, y=y, weight=weight, linkinv = family$linkinv)
class_probs <- update_probabilities(dprob = dprob, params = object$params)
#rho <- diag(x %*% sapply(em.glm$params, function(i) i) %*% t(class_probs))
rho.matrix <- class_probs * (x %*% sapply(object$params, function(i) i))
rho <- apply(rho.matrix, 1, sum)
if (type == "count"){
return(weight * family$linkinv(rho))
}
if (type == "rate"){
return(family$linkinv(rho))
}
if (type == "rho"){
return(rho)
}
}
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