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# Multisensi R package ; file quality.r (last modified: 2015-09-14)
# Authors: C. Bidot, M. Lamboni, H. Monod
# Copyright INRA 2011-2018
# MaIAGE, INRA, Univ. Paris-Saclay, 78350 Jouy-en-Josas, France
#
# More about multisensi in https://CRAN.R-project.org/package=multisensi
#
# This software is governed by the CeCILL license under French law and
# abiding by the rules of distribution of free software. You can use,
# modify and/ or redistribute the software under the terms of the CeCILL
# license as circulated by CEA, CNRS and INRIA at the following URL
# "http://www.cecill.info".
#
# As a counterpart to the access to the source code and rights to copy,
# modify and redistribute granted by the license, users are provided only
# with a limited warranty and the software's author, the holder of the
# economic rights, and the successive licensors have only limited
# liability.
#
# In this respect, the user's attention is drawn to the risks associated
# with loading, using, modifying and/or developing or reproducing the
# software by the user in light of its specific status of free software,
# that may mean that it is complicated to manipulate, and that also
# therefore means that it is reserved for developers and experienced
# professionals having in-depth computer knowledge. Users are therefore
# encouraged to load and test the software's suitability as regards their
# requirements in conditions enabling the security of their systems and/or
# data to be ensured and, more generally, to use and operate it in the
# same conditions as regards security.
#
# The fact that you are presently reading this means that you have had
# knowledge of the CeCILL license and that you accept its terms.
#
#===========================================================================
quality <- function(echsimul,echsimul.app)
#===========================================================================
{
## calcule le biais, le coef. de determination, le lof
## INPUTS
## echsimul : ARRAY des sorties ou matrice des sorties Y
## echsimul.app : sortie du modele approxime
## OUTPUTS
## moy.biais : biais integre (moyenne par colonne des biais)
## coef.det : coefficient de determination R2
## residuals : biais
## calcul de la moyenne de Y initiales
moy.Y <- colMeans(echsimul)
#colMeans et colSums + rapides que apply
## moyenne de Y sous forme matricielle
moy.Ymat <- t(matrix(rep(moy.Y,nrow(echsimul)),ncol(echsimul),nrow(echsimul)))
## calcul du biais
biais <- echsimul-echsimul.app
moy.biais <- colMeans(biais)
##calcul du coefficient de determination
## = 1 - SSresidus/SStotal
coef.det <- 1 - colSums((biais)^2)/colSums((echsimul-moy.Ymat)^2)
## renvoi des sorties
return(list(moy.biais=moy.biais,coef.det=coef.det,residuals=biais))
}
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