If a twofactor ANOVA results in no significant main effect f

If a two-factor ANOVA results in no significant main effect for factor A but a significant A x B interaction, explain why you should be cautious in interpreting the effect of factor A.

Solution

Whenever the effect of one factor depends upon the levels of another, there is an interaction between the factors. In that case interaction effect is significant. Sinceinetraction effect is significant so it may be possible that at some stage affect A make some diffrence. So one should be cautious when seeing the table entiers of mean of effect A.