 Analytical blank

An analytical blank is a material containing none, or as little as possible, of the analyte of interest, used to establish a blank indication. The material and the measured blank indication are different objects: a solution without the intended analyte can still produce a nonzero instrument response. A procedural blank follows the complete stated procedure, whereas a solvent or instrument blank covers a specified portion of it.^[ref]

An invented additive-response example makes the distinction concrete. Four analytical blank measurements give $2,3,1,2$ response units. Their mean is $2$ and their sample standard deviation is $\sqrt{2/3}\approx 0.816$. A sample response of $8$ then has a blank-subtracted response of $8-2=6$. The blank correction removes an estimated offset; it does not erase uncertainty in either measurement.

For independent sample response $X$ and a mean of $n$ independent blank measurements $B_i$, the model givesThis explains why more blank replicates can improve the estimated background without eliminating sample variability. Blank correction also depends on the measurement model: transmittance can require division by the blank indication rather than subtraction.^[ref] An appropriate analytical blank must match the part of the procedure whose background contribution is being assessed.