Appendix C - Calculations
Thermo Electron Corporation C-6
Calculation Calculation(s) Graphs
Validity of
standard curves
Statistics
(Linear regression
general case)
Linear regression
through zero model
Absorbance Ratio
Absorbance Difference
A(c
1
) > A(c
2
)
for all c
1
> c
2
or
A(c
1
) < A(c
2
)
for all c
1
> c
2
where: A = absorbance
c
1
, c
2
= concentration
If this is not the case, then there will be more
than one solution within the specified domain,
and the message “Curve cannot be used to
determine unknown concentrations - it may
produce ambiguous results” will appear when
the curve is viewed.
where: n = degree of polynomial
Note: The calculation for the correlation
coefficient only applies to first-order
linear regression curves (first-degree
polynomials).
Absλ
1
or
Absλ
1
− Abs
ref
Absλ
2
Absλ
2
− Abs
ref
Result = Absλ
1
*
factor 1 - Absλ
2
∗
factor 2
or
(Absλ
1
- Absλ
ref
)
*
factor 1 - (Absλ
2
- Absλ
ref
)
*
factor 2
Valid non-linear standard curve
Invalid non-linear standard curve
Appendix C - Calculations
Valid non-linear standard curve
Invalid non-linear standard curve