Some remarks on the analysis of variance for diallel cross experiments
TL;DRAbstract
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.
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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.
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