% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/Regression.R
\name{Regression}
\alias{Regression}
\title{Computes The Regression Of An Array On Another Along A Dimension}
\usage{
Regression(vary, varx, posREG = 2)
}
\arguments{
\item{vary}{Array of any number of dimensions up to 10.}

\item{varx}{Array of any number of dimensions up to 10. 
Same dimensions as vary.}

\item{posREG}{Position along which to compute the regression.}
}
\value{
\item{$regression}{
   Array with same dimensions as varx and vary except along posREG 
   dimension which is replaced by a length 4 dimension, corresponding 
   to the lower limit of the 95\% confidence interval, the slope, 
   the upper limit of the 95\% confidence interval and the intercept.
 }
 \item{$filtered}{
   Same dimensions as vary filtered out from the regression onto varx 
   along the posREG dimension.
 }
}
\description{
Computes the regression of the input matrice vary on the input matrice varx 
along the posREG dimension by least square fitting. Provides the slope of 
the regression, the associated confidence interval, and the intercept.\cr
Provides also the vary data filtered out from the regression onto varx.\cr
The confidence interval relies on a student-T distribution.
}
\examples{
# See examples on Load() to understand the first lines in this example
 \dontrun{
data_path <- system.file('sample_data', package = 's2dverification')
expA <- list(name = 'experiment', path = file.path(data_path,
            'model/$EXP_NAME$/$STORE_FREQ$_mean/$VAR_NAME$_3hourly',
            '$VAR_NAME$_$START_DATE$.nc'))
obsX <- list(name = 'observation', path = file.path(data_path,
            '$OBS_NAME$/$STORE_FREQ$_mean/$VAR_NAME$',
            '$VAR_NAME$_$YEAR$$MONTH$.nc'))

# Now we are ready to use Load().
startDates <- c('19851101', '19901101', '19951101', '20001101', '20051101')
sampleData <- Load('tos', list(expA), list(obsX), startDates,
                  output = 'lonlat', latmin = 27, latmax = 48, 
                  lonmin = -12, lonmax = 40)
 }
 \dontshow{
startDates <- c('19851101', '19901101', '19951101', '20001101', '20051101')
sampleData <- s2dverification:::.LoadSampleData('tos', c('experiment'),
                                               c('observation'), startDates,
                                               output = 'lonlat',
                                               latmin = 27, latmax = 48,
                                               lonmin = -12, lonmax = 40)
 }
sampleData$mod <- Season(sampleData$mod, 4, 11, 12, 2)
sampleData$obs <- Season(sampleData$obs, 4, 11, 12, 2)
reg <- Regression(Mean1Dim(sampleData$mod, 2),
                 Mean1Dim(sampleData$obs, 2), 2)
PlotEquiMap(reg$regression[1, 2, 1, , ], sampleData$lon, sampleData$lat, 
           toptitle='Regression of the prediction on the observations', 
           sizetit = 0.5)

}
\author{
History:\cr
0.1  -  2013-05  (V. Guemas, \email{virginie.guemas@ic3.cat})  -  Original code\cr
1.0  -  2013-09  (N. Manubens, \email{nicolau.manubens@ic3.cat})  -  Formatting to CRAN
}
\keyword{datagen}

