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Estimation of a Transformation for the Analysis of Some Agronomic and Genetic Experiments¹

Crop plants are often compared in replicated trials over a wide range of environments. The average yield and the residual variance estimated in individual environments are often related. This interferes with the statistical tests usually required in such data. A method is described here that uses the means and residual variances from the individual environments to find a transformation of the original scale to one that reduces the dependence of the means and the variances.

Key Words: Variance heterogeneity • Power transformation • Statistical methods

² Associate professor of statistics and research assistant in agronomy, Iowa State Univ., Ames, IA 50010. Junior author is presently research scientist, Plant Physiology Div., D.S.I.R., Palmerston North, N.Z.

Received for publication April 10, 1975.