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correlation analysis | correlation diagram |

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

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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.

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.

Last update: 2014-02-24; version: 2.3.3.

DOI of this term: doi:10.1351/goldbook.C01347.

Original PDF version: http://www.iupac.org/goldbook/C01347.pdf. The PDF version is out of date and is provided for reference purposes only. For some entries, the PDF version may be unavailable.