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Computational procedure for a weighted diallel analysis

D A Schaff¹, G A Milliken, C D Clayberg

¹Department of Horticulture, Kansas State University, 66506, Manhattan, KS, USA.

TAG. Theoretical and Applied Genetics. Theoretische Und Angewandte Genetik

|November 19, 2013

Abstract:

A diallel analysis is described for the case in which the values of the characteristic used in an inheritance study have unequal variances. Such a characteristic can be a mean, a slope of a regression line, or the estimates of some parameter of a linear or nonlinear model. Computational formulae are presented which incorporate the necessary weighting along with the statistics of the Hayman-Jinks method for diallel analysis. The method described can also be used to perform a weighted diallel analysis based on means when there are unequal numbers of replications per cross. A simple example demonstrates the computations necessary to complete a weighted diallel analysis.

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