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How Should Relative Changes be Measured?

How Should Relative Changes be Measured? Abstract Various indicators of relative change (or difference) are considered. It is shown that the log change defined by log e (y/x) is the only symmetric, additive, and normed indicator of relative change. It is proposed that the values of the log change in percent, 100 log e (y/x), be denoted by the symbol L%, the log percentage. It is hoped that the symmetric and additive log percentages will gradually replace the ordinary asymmetric and nonadditive percentages. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The American Statistician Taylor & Francis

How Should Relative Changes be Measured?

How Should Relative Changes be Measured?

The American Statistician , Volume 39 (1): 4 – Feb 1, 1985

Abstract

Abstract Various indicators of relative change (or difference) are considered. It is shown that the log change defined by log e (y/x) is the only symmetric, additive, and normed indicator of relative change. It is proposed that the values of the log change in percent, 100 log e (y/x), be denoted by the symbol L%, the log percentage. It is hoped that the symmetric and additive log percentages will gradually replace the ordinary asymmetric and nonadditive percentages.

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References (16)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1537-2731
eISSN
0003-1305
DOI
10.1080/00031305.1985.10479385
Publisher site
See Article on Publisher Site

Abstract

Abstract Various indicators of relative change (or difference) are considered. It is shown that the log change defined by log e (y/x) is the only symmetric, additive, and normed indicator of relative change. It is proposed that the values of the log change in percent, 100 log e (y/x), be denoted by the symbol L%, the log percentage. It is hoped that the symmetric and additive log percentages will gradually replace the ordinary asymmetric and nonadditive percentages.

Journal

The American StatisticianTaylor & Francis

Published: Feb 1, 1985

Keywords: Relative change; Log change; Logarithm; Log percentage; Logarithmic mean

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