In performing a two-way ANOVA for a two-factor factorial experiment,we first test the _________.
A)significance of factor 1.
B)significance of factor 2.
C)significance of main effects.
D)interaction between factors 1 and 2.
E)significance of the error term.

Question

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In a two-way ANOVA, after performing the experiment and collecting data, the first step is to test for the interaction between factors 1 and 2. The interaction is the joint effect of the two factors, which cannot be known by simply examining the main effects of each factor. Therefore, we need to test the interaction first. Only if the interaction is significant, we proceed to test the main effects of factor 1 and factor 2.

In Performing a Two-Way ANOVA for a Two-Factor Factorial Experiment,we