A measure of the degree of interrelationship which exists between two measured quantities,
and
; the correlation
coefficient() is defined by the following relation:
where
and
are the measured values in the
th experiment of
total experiments,
and
are the arithmetic means of
and
:
(similar expression for
).
The linear correlation
coefficient indicates the degree to which two quantities are linearly related. If
is followed then
, and departures from this relationship decrease
; if interpretations of data based on the linear correlation
coefficient are to be made, one should consult a book on statistics.
Source:
PAC, 1990, 62, 2167
(Glossary of atmospheric chemistry terms (Recommendations 1990))
on page 2182
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.
https://doi.org/10.1351/goldbook.