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#' @title The detailed coverage plot
#' @description This function draws the detailed coverage plot for the
#' specific prediction level to check over or under estimate regions
#' in each prediction level. The percentages of observations above the
#' prediction interval are calculated in each bin of the independent variable.
#' Additionally, the percentages of observations below the prediction interval
#' are calculated. The white dots in the plot represent the expected
#' percentages.
#' @import ggplot2 quantreg optimx
#' @usage coverageDetailplot(orig_data,
#' sim_data,
#' N_xbin = NULL,
#' predL = 0.5,
#' conf.level = 0.95,
#' X_name = "TIME",
#' Y_name = "DV",
#' MissingDV = NULL,
#' Kmethod = "cluster",
#' maxK = NULL,
#' beta = 0.2,
#' lambda = 0.3,
#' R = 4,
#' C1 = 2.5,
#' C2 = 7.8, ...)
#' @title Visual predictive checks
#' @param orig_data A data frame of original data with X and Y variable.
#' @param sim_data A matrix of simulated data with only Y values collected.
#' @param N_xbin Number of bins in X variable. If NULL, optimal number of bins are automatically calcuated using optK function.
#' @param predL Scalar of probability
#' @param conf.level Confidence level of the interval.
#' @param X_name Name of X variable in orig_data (usually "TIME" in pharmacokinetic data).
#' @param Y_name Name of Y variable in orig_data (usually "DV" in pharmacokinetic data)
#' @param MissingDV Name of missing indicator variable in orig_data, which have value 1 if missing, value 0 otherwise. (usually "MDV" in pharmacokinetic data).
#' @param maxK The maximum number of bins
#' @param Kmethod The way to calculate the penalty in automatic binning."cluster" or "kernel".
#' @param beta Additional parameter for automatic binning, used in optK function.
#' @param lambda Additional parameter for automatic binning, used in optK function.
#' @param R Additional parameter for automatic binning, used in optK function.
#' @param C1 Additional parameter for automatic binning, used in optK function.
#' @param C2 Additional parameter for automatic binning, used in optK function.
#' @param ... Arguments to be passed to methods.
#' @return the detailed coverage plot
#' @references Post, T. M., et al. (2008)
#' Extensions to the visual predictive check for facilitate model performance
#' evaluation, Journal of pharmacokinetics and pharmacodynamics,
#' 35(2), 185-202
#' @export
#' @examples
#' \donttest{
#' data(origdata)
#' data(simdata)
#' coverageDetailplot(origdata,simdata,predL=0.5,N_xbin=8)
#' }
coverageDetailplot <- function(orig_data,
sim_data,
N_xbin = NULL,
predL = 0.5,
conf.level = 0.95,
X_name = "TIME",
Y_name = "DV",
MissingDV = NULL,
Kmethod = "cluster",
maxK = NULL,
beta = 0.2,
lambda = 0.3,
R = 4,
C1 = 2.5,
C2 = 7.8, ...){
main_title <- paste("Coverage Detailed plot : PI = ",predL*100)
probs <- c((1-predL)/2,1-(1-predL)/2)
pred.level <- predL
NPCcut <- NumericalCheck(orig_data,sim_data,pred.level = pred.level,
conf.level=conf.level,
X_name=X_name,Y_name=Y_name,...)$NPCcut
plot_data <- data.frame(cut_temp = rep(NPCcut$cut_temp,3),
type = factor(rep(c("Lower","Upper","Middle"),
each=nrow(NPCcut)),
levels=c("Upper","Middle","Lower")),
percent = c(NPCcut$belowPI/NPCcut$n,
NPCcut$abovePI/NPCcut$n,
1-(NPCcut$belowPI+NPCcut$abovePI)/NPCcut$n),
LE = probs[1],UE = probs[2])
ggplot(data = plot_data) +
geom_bar(aes(cut_temp,percent,fill=type),stat="identity",
position="stack") +
geom_point(aes(cut_temp,LE),col="white") +
geom_point(aes(cut_temp,UE),col="white") +
scale_y_continuous(expand=c(0,0)) +
scale_fill_manual("Type",values = c("grey45","grey75","grey20")) +
theme_bw() +
labs(x=X_name,y="Percentage Observations(%)",title=main_title) +
scale_x_discrete(labels=NPCcut$cut_temp) +
theme(axis.text.x=element_text(angle=45,hjust=1))
}
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