10 Calculation Methods   
10-10
calibration method are the same with that of Logit-Log 4P, but this method has a higher 
fitting. 
Exponential 5P 
Calibration formula: 
])(ln)(lnlnexp[
32
0
CcCbCaKRR +++=
 
This calibration method adopts five parameters: 
0
R
, 
, 
, 
b
  and 
. 
This calibration method requires at least five calibrators. The concentration (or activity) of 
calibrator 1 is 0, and the corresponding 
  is equal to 
0
R
0.
This calibration method is 
applied  to  the  calibration  curve  that  the  response  increases  sharply  when  the 
concentration reaches a specific value. SeeFigure 10-9. 
Figure 10-9 Exponential 5p calibration curve 
R
C
C1 C2 C3 C4 C5
 
Polynomial 5P 
Calibration formula: 
3
0
2
00
)
()
()
(ln
RR
d
RR
c
RR
baC
−
+
−
+
−
+=
 
This calibration method adopts five parameters: 
0
R
, 
, 
b
, 
  and 
d
. 
This calibration method requires at least five calibrators. The concentration (or activity) of 
calibrator 1 is 0, and the corresponding 
  is equal to 
0
R
. 
Parabola 
Calibration formula: 
cbCaCR
++=
2
 
This calibration method adopts three parameters: 
, 
b
  and 
.   
This calibration method requires at least three calibrators. The calibration parameters can 
be calculated through the method of polynomial least squares. 
Spline 
Calibration formula: 
32
0
)()()(
iiiiiii
CCcCCbCCaRR
−+−+−+=
 
This calibration method requires 2 to 6 calibrators. The number of calibrators is set to be n, 
so the calibration method has 4(n-1) parameters in total: 
i
R
0
, 
i
a
, 
i
b
  and 
i
c .