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Computational procedure for a weighted diallel analysis

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Summary

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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References

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Author notes

  1. D. A. Schaff

    Present address: Germplasm Quality and Enhancement Laboratory, USDA, ARS, PGGI, 20705, BARC-West, Beltsville, MD, USA

Authors and Affiliations

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

    D. A. Schaff & C. D. Clayberg

  2. Department of Statistics, Kansas State University, 66506, Manhattan, KS, USA

    G. A. Milliken

Authors
  1. D. A. Schaff
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  2. G. A. Milliken
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  3. C. D. Clayberg
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Additional information

Communicated by A. R. Hallauer

Journal paper no. 87-117-J of the Kansas Agricultural Experiment Station. This study was conducted by the senior author in partial fulfillment for the PhD degree in genetics

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Schaff, D.A., Milliken, G.A. & Clayberg, C.D. Computational procedure for a weighted diallel analysis. Theoret. Appl. Genetics 74, 538–541 (1987). https://doi.org/10.1007/BF00289835

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  • DOI: https://doi.org/10.1007/BF00289835

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