Geology Reference
In-Depth Information
P i¼1 ð
Q o Q o Þ
P i¼1 ð Q m Q m Þ
Q m Q m Þ : ð
Correlation Coefficient ; CORR ¼
q
ð 5 : 1 Þ
2
2
: ð Q o Q o Þ
N X
N
1
ð
Q m
Q o Þ
Mean Absolute Percentage Error, MAPE
¼
100
ð 5 : 2 Þ
Q o
i¼1
E 1 E 2
E 1
Efficiency
E
¼
ð 5 : 3 Þ
;
where
X
N
2
Q o Q o
ð
Þ
ð 5 : 4 Þ
E 1 ¼
i¼1
and
X
N
2
E 2 ¼
ð
Q 0 Q m
Þ
ð 5 : 5 Þ
i¼1
t
1
N X
N
i¼1 ð
2
¼
Q m
Q o Þ
ð 5 : 6 Þ
Root Mean Squared Error, RMSE
P i¼1 ð
Q o
Q m Þ
Mean bias error, MBE
¼
ð 5 : 7 Þ
N
Variance of the distribution of differences S 2 which expresses the variability of
(Q o Q m ) distribution about MBE
P i¼1 ð
2
Q o
Q m
MBE
Þ
S d ¼
ð 5 : 8 Þ
N 1
where, Q m is the modelled or e st imated solar radiation by a data based model, Q o i s
the observation solar radiation Q m is the average of the estimated solar radiation, Q o
is the average of the observed r radiation and N is the number of observations.
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