Bio-Rad Foresight™ Chromatography Columns, Prepacked - Manual (Page 24)

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3.4 Reliability of the HT experimentation Data: Error
Analysis and Error Propagation
Errors are often associated with a mistake, but in
science errors are not only the result of mistakes but
also of the uncertainty associated with measuring.
The best that can be done is to ensure that the
error is small and to have a reliable estimate of it.
This becomes even more relevant when the data
reported is a calculated value, which depends
on a measurable quantity and its corresponding
uncertainty.
A suitable approach to estimate the error on a
calculated amount is to sum the squares of the
contributions of individual uncertainties, as shown in
Eq. 8. 12
( ) ( )
2 2
( , ) , ,
, ,
( , )
( , ) ( , )
;
f x y f x f y
f x x f y y
f x y
f x y f x y
x y
σ σ σ
δ δ
σ σ σ σ
δ δ
= +
= =
Equations 9–11 were obtained by applying Eq. 8
to the calculation of the uncertainties (σ) on the
corrected optical density (Eq. 9a–9b), the estimated
protein concentration based on UV measurements,
and the calculated bound protein concentration.
Corr Sample Blank
Abs Abs Abs = −
( )
( )
Corr
2
2
Sample Blank Abs
σ σ σ = + −
Where Abs represents the absorbance and σ
represents its uncertainty.
Eq. 8
Eq. 9a
Eq. 9b