Summary
Hayman's (1954) analysis of variance is derived, both for the reciprocal effects and the maternal effects models, without using progressive fitting of parameters. It is shown that, apart from a minor modification, Hayman's analysis is appropriate for detecting the various effects for which the analysis was devised.
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References
Hayman, B I. 1954. The analysis of variance of diallel tables. Biometrics, 10, 235–244.
Kempthorne, O. 1956. The theory of the diallel cross. Genetics, 41, 451–459.
Topham, P B. 1966. Diallel analysis involving maternal and maternal interaction effects. Heredity, 21, 665–674.
Wearden, S. 1964. Alternative analyses of the diallel cross. Heredity, 19, 669–680.
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Walters, D., Gale, J. A note on the hayman analysis of variance for a full diallel table. Heredity 38, 401–407 (1977). https://doi.org/10.1038/hdy.1977.104
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DOI: https://doi.org/10.1038/hdy.1977.104
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