Some remarks on the analysis of variance for diallel cross experiments
Tadeusz Łuczkiewicz
tadeuszluczkiewicz@GMAIL.COMDepartment of Genetics and Plant Breeding, Agricultural University of Poznań (Poland)
Stanisław Mejza
Department of Mathematical and Statistical Methods, Agricultural University of Poznań (Poland)
Hanna Kiełczewska
Department of Mathematical and Statistical Methods, Agricultural University of Poznań (Poland)
Iwona Mejza
Department of Mathematical and Statistical Methods, Agricultural University of Poznań (Poland)
Abstract
The paper deals with three approaches to an analysis of variance for data obtained in a diallel cross experiment with spring rape. The data concerning plants height of 8 inbred lines and 56 crosses between them were used to illustrate consequences of approaches to the analysis. Formally, the experiment was carried out in unbalanced lattice square with subsamples on the units. In the first approach an appropriate analysis for this design is given. In the second approach the mean from subsamples was treated as an observation in a block designed experiment. In the third approach the resolvability property was used and the statistical analysis for the experiment carried out in a complete randomized design was proposed. The consequences in a statistical inference concerning statistical characteristics (general combining ability, specific combining ability) for two experiments with F1 and with F2 were examined.
Keywords:
analysis of variance, block design, resolvable block design, lattice square, diallel cross experimentReferences
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Authors
Tadeusz Łuczkiewicztadeuszluczkiewicz@GMAIL.COM
Department of Genetics and Plant Breeding, Agricultural University of Poznań Poland
Authors
Stanisław MejzaDepartment of Mathematical and Statistical Methods, Agricultural University of Poznań Poland
Authors
Hanna KiełczewskaDepartment of Mathematical and Statistical Methods, Agricultural University of Poznań Poland
Authors
Iwona MejzaDepartment of Mathematical and Statistical Methods, Agricultural University of Poznań Poland
Statistics
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Copyright (c) 2006 Tadeusz Łuczkiewicz, Stanisław Mejza, Hanna Kiełczewska, Iwona Mejza
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