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Using Interaction In Two-Way Data Tables, Hugh G. Gauch Jr., Richard W. Zobel
Using Interaction In Two-Way Data Tables, Hugh G. Gauch Jr., Richard W. Zobel
Conference on Applied Statistics in Agriculture
Agronomists and breeders frequently collect yield data for a number of genotypes in a number of environments (site-years), resulting in a two-way data table. The Additive Main effects and Multiplicative Interaction (AMMI) model combines regular analysis of variance (ANOVA) for additive main effects with principal components analysis (PCA) for multiplicative structure within the interaction (that is, within the residual from ANOVA). AMMI is effective for (1) understanding genotype-environment interaction, (2) improving the accuracy of yield estimates, (3) increasing the probability of successfully selecting genotypes with the highest yields, (4) imputing missing data, and (5) increasing the flexibility and efficiency of …