84
Définition d’erreur
Abréviation
Equation
Référence
Normalized Standard Deviation
NSD
NSD = 100 (
1
N − 1
) [
(q e
exp − q e
cal )
q e
exp
]
N
i−1
2
i
-
Sum squares errors
ERRSQ/SSE
ERRS =
(q e
cal − q e
exp )
N
i−1
K.V. Kumar, S.
Sivanesan., 2006
Hybrid fractional error function
HYBRID
HYBRID =
100
N − P
[
(q ei
exp − q ei
cal )
q ei
exp
]
N
i−1
i
i
J.C.Y. Ng et al., 2002
Average relative error
ARE
ARE =
100
N
[
(q e
exp − q e
cal )
q e
exp
]
N
i−1
i
i
A. Kapoor et R.T.
Yang., 1989
Sum of absolute error
EABS
EABS =
|q e
exp − q e
cal |
N
i−1
J.C.Y. Ng et al., 2003
Marquardt’s percent standard
deviation
MPSD
MPSD = 100 (
1
N − P
) [
q ei
exp − q ei
cal
q ei
exp
]
N
i−1
D.W. Marquardt.,
1963
The coefficient of determination
R
2
2 =
(q e
exp − q e
cal )
∑(q e
exp − q e
cal )
2
1
+ (q e
exp − q e
cal )
B. Boulinguiez et al.,
2008
Spearman’s correlation coefficient r s
= 1 −
∑ (q e
exp − q e
cal )
2
i
i 1
( − 1)
2
1
B. Boulinguiez et al.,
2008
Standard deviation of relative
errors
s RE
= √
∑ [(q e
exp − q e
cal )
2
i
− ARE]
2
i
i 1
− 1
B. Boulinguiez et al.,
2008
X Nonlinear chi-square test
X
2
2 =
(q e
exp − q e
cal )
q e
exp
i 1
B. Boulinguiez et al.,
2008
Residual root mean square error
RMSE
RMSE = (
1
N − 1
) (q e
exp − q e
cal )
N
i−1
M. A. Hossain et al.,
2007
Coefficient of non-determination
K 2
-
K.V. Kumar, S.
Sivanesan., 2006
Sum of normalized errors
SNE
-
D.Karadag et al.,
2007
Rapporté : K.Y. Foo, B.H. Hameed., 2010 [29]
Tableau 21 : Listes de fonctions des erreurs.