I'm reading a paper which performs a 3x2 ANOVA like so:
Condition: | A | B | C ------------------------------- Phase 1 | x_A1 | x_B1 | x_C1 Phase 2 | x_A2 | x_B2 | x_C2
They find a significant main effect of condition, and of phase, and no interaction between the two. I am not interested in phase 2, and only want to know if there is a difference between conditions in phase 1. Roughly, I want to know if a 3x1 ANOVA on
x_A3 would show an effect. Given the lack of interaction, is it possible to conclude that there was a difference between conditions in phase 1 only? Or is the result affected by the presence of the phase 2 data, even though an interaction wasn't significant?
(As I say, this is from a paper, so I don't have access to the original data. I've tried searching for previous ANOVA questions, but couldn't find this question specifically.)