#' Mean Absolute errors for the given data from dataset(MAEs)
#'
#' This function calculates and returns list of two dataframes,
#' where the first data frame contains MAEs for the given data, diferent horizons and methods,
#' the second one contains ranked list of the methods according to MAEs.
#' Also the function plots MAEs for different hirizons and methods.
#'
#' @aliases calculateMAEs
#' @param frame A data frame containing columns "actual", "forecast", "method", and "horizon".
#' @param sort logical. If TRUE the resulting list of MAEs dataframe and ranked dataframe of MAEs sorting by average value.
#' @return \code{calculateMAEs} function calculates and returns list of two dataframes,
#' where the first data frame contains MAEs for the given data, diferent horizons and methods,
#' the second one contains ranked dataframe of the methods according to MAEs.
#' Also the function plots MAEs for different hirizons and methods.
#' @author Sai Van Cuong, Maixm Shcherbakov and Andrey Davydenko
#' @seealso \code{\link{calculateAvgRelMAEs}}, \code{\link{calculateGMAPEs}}, \code{\link{calculateGMRAEs}}, \code{\link{calculateMAD_MEAN_ratio}},
#' \code{\link{calculateMAPEs}}, \code{\link{calculateMASEs}}, \code{\link{calculateMdAPEs}}, \code{\link{calculateMPEs}},
#' \code{\link{calculateMSEs}}, \code{\link{calculatePB_MAEs}}, \code{\link{calculateRMSEs}}, \code{\link{calculateSMAPEs}},
#' \code{\link{calculateSMdAPEs}}.
#' @references Rob J. Hyndman, Anne B. Koehler (2006) Volume title: "International Journal of Forecasting".
#' Chapter title: \emph{Another look at measures of forecast accuracy}. Chapter pages : (p.679-688).
#' \url{http://eva.fcea.edu.uy/pluginfile.php/109034/mod_resource/content/0/2006_Hyndman_Predicc.pdf}.
#' @keywords dataframe
#' @examples
#' calculateMAEs(frame = FORAYearForecast)
#' calculateMAEs(frame = FORAYearForecast, sort = TRUE)
#' data1 <- subset(FORAYearForecast, actual >= 5000| forecast < 8000)
#' data2 <- FORAYearForecast[1:300,]
#' calculateMAEs(frame = data1, sort = TRUE)
#' calculateMAEs(frame = data2, sort = TRUE)
#'
#' @export
calculateMAEs <- function(frame, sort = FALSE){
out <-matrix(NA, nrow = length(unique(frame$method)), ncol = length(unique(frame$horizon)))
methodlist <- list()
horizonlist <- list()
MAElist <- list()
MAE <- c()
df = data.frame(out)
colnames(df) <- paste("horizon = ", 1:length(unique(frame$horizon)), sep ="")
rownames(df) <- unique(frame$method)
ranks = data.frame(out)
colnames(ranks) <- paste("horizon = ", 1:length(unique(frame$horizon)), sep ="")
rownames(ranks) <- unique(frame$method)
outlist <- list()
for(j in as.vector(unique(frame$horizon))){
for(i in as.vector(unique(frame$method))){
df[i, j] <- mean(abs((subset(frame, method == i & horizon == j)$actual - subset(frame, method == i & horizon == j)$forecast)), na.rm=TRUE)
}
}
for (k in 1:length(unique(frame$horizon))){
ranks[,k] <- rank(df[, k])
}
averagerank <- rowMeans(ranks, na.rm =TRUE)
averageMAE <- rowMeans(df, na.rm =TRUE)
ranks <- cbind(ranks, "average rank" = averagerank)
df <- cbind(df, " average MAE" = averageMAE)
for(m in 1:length(unique(frame$method))){
MAElist[[m]] <- unname(df[m, 1:length(unique(frame$horizon))])
methodlist[[m]] <- rep(as.vector(unique(frame$method))[m],length(unique(frame$horizon)))
horizonlist[[m]]<- as.vector(unique(frame$horizon))
}
MAE1 <- Reduce(c, MAElist)
MAE <- Reduce(c, MAE1)
horizon <- Reduce(c, horizonlist)
method = Reduce(c, methodlist)
df2 <- data.frame(MAE, horizon, method )
# plots MAEs frame
gp <-ggplot2::ggplot(df2, ggplot2::aes(x=horizon, y=MAE, group=method,color=method, shape=method)) +
ggplot2::scale_shape_manual(values=1:nlevels(df2$method)) +
ggplot2::labs(title = "MAE for different horizons and methods") +
ggplot2::geom_line() +
ggplot2::geom_point(size=3)+
ggplot2::theme(plot.title = ggplot2::element_text(hjust = 0.5))
print(gp)
outlist <- list("MAE" = df,"rank" =ranks)
if(sort == FALSE){
return(outlist)
}else{
frame1 <-df[order(df$` average MAE`),]
frame2 <- ranks[order(ranks$`average rank`),]
outlist <- list("MAE" = frame1,"rank" = frame2)
return(outlist)
}
}
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