The outcome of an analytical measurement (application of the
chemical measurement process), or
value attributed to a
measurand. This may be the
result of direct observation, but more commonly it is given as a
statistical estimate derived from a set of observations. The
distribution of such estimates (estimator distribution) characterizes
the chemical measurement process, in contrast to a particular
estimate, which constitutes an experimental result. Additional
characteristics become evident if we represent

as follows:
The
true value,

, is the value

that
would result if the chemical measurement process were
error-free. The
error,

,
is the
difference between an observed (estimated) value and the true value;
i.e.

(signed quantity). The total error
generally has two components,
bias
(
) and
random error
(
), as indicated above. The
limiting mean,

, is
the asymptotic value or population mean of the distribution that
characterizes the measured quantity; the value that is approached as
the number of observations approaches infinity. Modern statistical
terminology labels this quantity the
expectation value or
expected
value,

.
The
bias,

, is the difference between the
limiting mean and the true value; i.e.

(signed quantity).
The
random error,

, is the difference between an observed
value and the
limiting mean; i.e.

(signed quantity).
Source:
PAC, 1995, 67, 1699
(Nomenclature in evaluation of analytical methods including detection and quantification capabilities (IUPAC Recommendations 1995))
on page 1705
Cite as:
IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8.
doi:10.1351/goldbook.