TESTING THE SIGNIFICANCE OF GENOTYPE‐ENVIRONMENT INTERACTION

Williams, E. R.; Wood, J. T.

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TESTING THE SIGNIFICANCE OF GENOTYPE‐ENVIRONMENT INTERACTION

Date

1993

Authors

Williams, E. R.

Wood, J. T.

Abstract

The AMMI (additive main effects‐multiplicative interaction) model is often used to investigate interactions in two‐way tables, in particular for genotype‐environment interactions. Both Gollob (1968) and Mandel (1969, 1971) proposed methods for testing the significance of such interactions. These methods are compared using simulated data. Our results support Mandel's conclusions, but his method is conservative and we recommend a test proposed by Johnson & Graybill (1972).