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Abstract A measure of interaction in factorial experiments is introduced and the problem of estimating it and testing it for nullity is considered. The asymptotic power efficiencies are studied and Monte Carlo power comparisons are made when samples are drawn from normal and scale contaminated compound normal distributions. The proposed test showed improved power over the normal theory F test and other rank tests for moderately large samples taken from the heavy tailed distributions.
Patel et al. (Sat,) studied this question.