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##############################################################################################################################
#
# The rmse calculation based on two numeric vectors of equal length
#
#
#' rmse
#'
#' Calculates rmse given vectors for y and y_pred
#'
#' @param obs a vector or matrix of real numbers
#' @param mdl a vector or matrix of real numbers
#'
#' @return a vector of numbers with length equal to the number of trials (N)
#'
#' @examples
#' rmse(c(2:20),c(2:20 + c(rep(0.1,5),rep(-0.2,10),rep(0.3,4))))
#' mata <- matrix(runif(10000),ncol=5)
#' matb <- matrix(runif(10000),ncol=5)
#' rmse(mata, matb)
#'
#' @export
#' rmse()
rmse <- function(obs, mdl){
mlist <- fitmetric_check(obs,mdl)
obs <- mlist[[1]]
mdl <- mlist[[2]]
N <- mlist[[3]]
dof <- mlist[[4]]
#get delta
ed <- obs-mdl #predicted ep
#calculate RMSE numerator
n1 <- ed*ed #square the individual elements (not matrix multiplication)
n1s <- rowSums(n1) #sum the individual rows
num <- sqrt(n1s) #sq root of individual elements -> numerator
#calculate RMSE denominator
den <- sqrt(dof) #denominator
#calculate rmse (this is an array of rmse calculations based on noise)
out <- num/den
return(out)
}
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