s2dv (version 1.4.0)

RMS: Compute root mean square error

Description

Compute the root mean square error for an array of forecasts and an array of observations. The RMSEs are computed along time_dim, the dimension which corresponds to the startdate dimension. If comp_dim is given, the RMSEs are computed only if obs along the comp_dim dimension are complete between limits[1] and limits[2], i.e. there are no NAs between limits[1] and limits[2]. This option can be activated if the user wishes to account only for the forecasts for which the corresponding observations are available at all leadtimes.
The confidence interval is computed by the chi2 distribution.

Usage

RMS(
  exp,
  obs,
  time_dim = "sdate",
  dat_dim = "dataset",
  comp_dim = NULL,
  limits = NULL,
  conf = TRUE,
  conf.lev = 0.95,
  ncores = NULL
)

Value

A list containing the numeric arrays with dimension:

c(nexp, nobs, all other dimensions of exp except time_dim).

nexp is the number of experiment (i.e., dat_dim in exp), and nobs is the number of observation (i.e., dat_dim in obs).

$rms

The root mean square error.

$conf.lower

The lower confidence interval. Only present if conf = TRUE.

$conf.upper

The upper confidence interval. Only present if conf = TRUE.

Arguments

exp

A named numeric array of experimental data, with at least two dimensions 'time_dim' and 'dat_dim'. It can also be a vector with the same length as 'obs', then the vector will automatically be 'time_dim' and 'dat_dim' will be 1.

obs

A named numeric array of observational data, same dimensions as parameter 'exp' except along dat_dim. It can also be a vector with the same length as 'exp', then the vector will automatically be 'time_dim' and 'dat_dim' will be 1.

time_dim

A character string indicating the name of dimension along which the correlations are computed. The default value is 'sdate'.

dat_dim

A character string indicating the name of member (nobs/nexp) dimension. The default value is 'dataset'.

comp_dim

A character string indicating the name of dimension along which obs is taken into account only if it is complete. The default value is NULL.

limits

A vector of two integers indicating the range along comp_dim to be completed. The default value is c(1, length(comp_dim dimension)).

conf

A logical value indicating whether to retrieve the confidence intervals or not. The default value is TRUE.

conf.lev

A numeric indicating the confidence level for the regression computation. The default value is 0.95.

ncores

An integer indicating the number of cores to use for parallel computation. The default value is NULL.

Examples

# Load sample data as in Load() example:
 set.seed(1)
 exp1 <- array(rnorm(120), dim = c(dataset = 3, sdate = 5, ftime = 2, lon = 1, lat = 4))
 set.seed(2)
 obs1 <- array(rnorm(80),  dim = c(dataset = 2, sdate = 5, ftime = 2, lon = 1, lat = 4))
 set.seed(2)
 na <- floor(runif(10, min = 1, max = 80))
 obs1[na] <- NA
 res <- RMS(exp1, obs1, comp_dim = 'ftime')
 # Renew example when Ano and Smoothing are ready