G. Jansson et O. Danell, NEEDS AND BENEFITS OF EMPIRICAL POWER-TRANSFORMATIONS FOR PRODUCTION AND QUALITY TRAITS IN FOREST TREE BREEDING, Theoretical and Applied Genetics, 87(4), 1993, pp. 487-497
Non-normality in the distribution of individual observations of produc
tion and quality traits in forest tree breeding may cause inaccurate s
election and overestimation of predicted selection gain. The distribut
ion of individual observations of traits such as height, diameter, bra
nch diameter, branch angle and number of branches per whorl is not alw
ays normal. We investigated how the observations were distributed and
to what degree it is possible to improve normality, homogeneity of err
or variance and additivity by using empirical power transformations. C
omputer simulations showed that a seriously skewed distribution impair
s selection efficiency and exaggerates selection gain expectations. If
the distribution is heavily skewed, transformation might be worthwhil
e. It does not seem possible to offer any general advice about which v
ariates should be transformed, but in most cases there seems to be no
need of any transformation.