CalibrationWindow- Methods
(continued)
Parabolic:
The resulting cali bration curve is defined as
y=Ax2+B
where:
x is external measure
y
is area
A"'( (X2V '
n) -
(V '
Xl» /
0
B=( (V ' X4) - (X2Y' X2)
>/ 0
0=( (X4 •
n) -
(X2 • X2) )
Notes:
This is a least squares
fit
algorithm over the cal ibration levels.
A
point at
(0,0)
is
also assumed (by incrementing n) unless
there is already a value at 1("0,or
if
IStatislicsjR21nciudeZero is
set to
0
in the PEAKW1N,INI file. There must
be
alleasl2 cali–
bration levels (3
jf
the origin is not assumed)
Quadratic through origin:
The resulting calibrationcurve is defined as
y=Ax2-+Bx
where:
x is externalmeasure
Y IS
area
A=( (XV ' X3) · (X2Y • X2) I 0
B=( (XV ' X4) - (X2Y ' X3» I 0
0=( (X3 • X3) - (X4 •
Xl)
Notes:
This is a least squares
frt
algorithm over the calibration levels.
There must be at jeast z cal ibration levels.
Quadratic:
The resulting cal ibration curve is defined as
y:Ax2+Bx+C
where:
x is external measure
y is area
A=( (XY"X-Y"X2)"(X2"X2-X"X3) –
(X2Y"X2-XY?:3rcX"X·X2"n) )
I
D
B:( (XY"X2·Y"X3)"(X2"X3-X?:4) –
(X2Y"X3-XY"X4)"(X2"X2-X"X3) ) IE
C=( (XY"X2-Y"X3r(X3"X3-X2"X4) –
(X2Y*X3· X*X4)"(X2"X2-X"X3) )IF
D:( (X3"X-X2"X2)"(X2*X2-X"X3) –
(X4"X2-X3"X3)"(X"X-X2*n) )
E=( (X2"X2·X?:3r (X2"X3-X"X4) ·
(X3"X3-X2"X4)"{X*X2·X3"n) )
F: ( (X"X2-X3*n)"(X3"X3-X2"X4) ·
(X2*X3-X"X4)"(X2"X2-X*X3)
Notes:
This is a least SQuares
fit
algorithm over the calibration leve ls.
A point at (0,0) is also assumed (by incrementing n) unless
there is already a value at x=O, or
if
(Statislics)R2InctudeZero is
set to 0 in the PEAKWIN.lNI file . There must
be
at least 2 cali–
bration levels (3
if
the origin is not assumed).
Calibrahon slatldlCS
1'3
CalibratIOnslatlshcs
E3
Calibration slal,shcs
Ei
