A Correct Logarithmic Transformation for Standardizing Multiplicative Trait Variables1
- M. F. Driscoll and
- G. H. Abel2
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.Please view the pdf by using the Full Text (PDF) link under 'View' to the left.
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