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A Correct Logarithmic Transformation for Standardizing Multiplicative Trait Variables 1
Author(s) -
Driscoll M. F.,
Abel G. H.
Publication year - 1976
Publication title -
crop science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.76
H-Index - 147
eISSN - 1435-0653
pISSN - 0011-183X
DOI - 10.2135/cropsci1976.0011183x001600020039x
Subject(s) - multiplicative function , trait , transformation (genetics) , carthamus , logarithm , biology , mathematics , statistics , computer science , mathematical analysis , genetics , medicine , gene , programming language , traditional medicine
The subject of this article is the logarithmic transformation, log(X/σ) − log(μ/σ), recently introduced and used by J. E. Grafius and R. L. Thomas to convert multiplicative trait variables into additive ones and to standardize the scales on which the variables were measured. It is shown that the transformation fails to achieve the second of these objectives. The transformation (log X − v )/т is introduced and is shown to meet both of the desired aims. Then the two transformations are compared using three trait variables from an experiment on safflower, Carthamus tinctorius L. This comparison indicates that the use of the first transformation where the second is called for could lead to erroneous conclusions. The results of other work in progress verify this conclusion.