#' testLevel
#'
#' A collection of tests to compare the level of data with comparison data
#'
#' Details about the employed tests can be found here:
#' \url{http://redmine.pik-potsdam.de/projects/x-intern/wiki/Traffic_light_validation}
#'
#' @param x a data vector of a single data set named and sorted by years
#' @param xc a data vector of a single data set named and sorted by years
#' @return A named vector containing results of multiple tests
#' for the single combination of data and comparison data.
#' @author Markus Bonsch, Jan Philipp Dietrich
#' @seealso
#' \code{\link{TLstatistics}},\code{\link{trafficlight}}
#' @examples
#'
#' #create some test data
#' test <- 1:40; names(test) <- 1995:2034
#' x <- test[20:40]
#' xc <- test[1:30] + rnorm(30)
#'
#' testLevel(x,xc)
#'
#' @importFrom qualV GRI
#' @export
testLevel <- function(x,xc) {
x <- x[!is.na(x)]
xc <- xc[!is.na(xc)]
#determine model data reference year
yref <- as.integer(names(x))[1]
#determine data comparison years (10 years around start year)
ycomp <- as.integer(names(xc))
ycomp <- ycomp[which(-5<=(ycomp-yref)&(ycomp-yref)<=5)]
out <- NULL
if(length(ycomp)>0) {
#get vectors with simulated and observed values
sim <- rep(x[as.character(yref)],length(ycomp))
obs <- xc[as.character(ycomp)]
##############################################################
#Leggett Williams
out <- c(Level.GeometricReliability=GRI(p=sim,o=obs))
###############################################################
#MRSR
out <- c(out, Level.ModifiedStandardDeviationRatio=MRSR(obs=obs,sim=sim,sigma=NA))
#############################################3
#relative difference
###############################################
out <- c(out, Level.RelativeDifference=(mean(sim,na.rm=TRUE)-mean(obs,na.rm=TRUE))/mean(obs,na.rm=TRUE))
} else {
out <- c(Level.GeometricReliability=NA,Level.ModifiedStandardDeviationRatio=NA,Level.RelativeDifference=NA)
}
return(out)
}
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