10 Calculation Methods                                      10-9 
Multi-point linear calibration 
Calibration formula: 
baCR
. 
This calibration method adopts two calibration parameters: 
  and 
b
. 
This calibration method requires n (n
≥
3) calibrators. 
i
C
  is the concentration of calibrator 
. 
i
R
  is the response of calibrator 
. 
  and 
b
  can be obtained through the method of 
least squares. 
nCC
nRCRC
a
n
i
i
n
i
i
n
i
i
n
i
i
n
i
ii
/)(
/))((
2
11
2
111
∑∑
∑∑∑
==
===
−
−
=
 
−=
∑
=
nRb
n
i
i
/)(
1
nC
nCC
nRCRC
n
i
i
n
i
i
n
i
i
n
i
i
n
i
i
n
i
ii
/)](
/)(
/))((
[
1
2
11
2
111
∑
∑∑
∑∑∑
=
==
===
−
−
 
10.2.3.2 Calculating Nonlinear Calibration Parameters 
Logistic-Log 4P 
Calibration formula: 
)]ln(exp[1
1
0
Cba
KRR
+−+
+=
 
This calibration method adopts four parameters: 
0
R
, 
, 
  and 
b
. 
This calibration method requires at least four calibrators. The concentration (or activity) of 
calibrator 1  is 0,  and the  corresponding 
  is  equal to 
0
.This calibration method is 
applied to the calibration curve that the response becomes smaller and smaller with the 
concentration increase. SeeFigure 10-8   
Figure 10-8 Logit-Log 4P calibration curve 
R
C
C1 C2 C3 C4
 
Logistic-Log 5P 
Calibration formula: 
)]ln(exp[1
1
0
cCCba
KRR
++−+
+=
 
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.
The  applications  of  the