Pooling highly non-significant interactions in an experimental design can eliminate problems in the residual analysis when the initial analysis fails to validate assumptions. The mean square error can be used to estimate experimental variance in a completely randomized two-factor experiment with one replicate per factor combination. Tukey's test for nonadditivity tests whether a no interaction model is appropriate for a two-factor model with more than one replicate per factor combination.
When Residual Analysis Fails, Pooling Non-Significant Interactions Can Help
1. When the Residual Analysis fails to validate one or more of the assumptions required for the
analysis of an experimental design, pooling highly NON_SIGNIFICANT interactions can eliminate
problems in the Residual Analysis. In a completely randomized two factor (A and B) experiment
with one replicate for every factor combination, the Mean Square Error can be used to estimate
the experimental variance. Tukey's test for nonadditivity is for a two factor ( A and B ) model with n
>1 replicates per factor combination of A and B, that can be used to test whether the NO
INTERACTION model is appropriate.
