Study Design: I have a 2x3 factorial design, 2 levels of Time (2050 or 2100) by 3 levels of information (None/Control, Moderate, Extreme).
I set up some very specific contrasts when analyzing this design, in particular Control vs. Other, Moderate vs. Extreme, and 2050 vs. 2100. For one DV, the overall ANOVA was not significant but the Control vs. Other contrast was.
Question: What is the best way to interpret a nonsignificant ANOVA but a significant contrast?
I know that ANOVA is used to lower familywise error rates, and I wouldn't want to fall into the trap of ignoring the overall ANOVA for pairwise comparisons. However, this is one of a select few contrasts that I planned ahead of time. Does that make a difference in interpretation, or should I simply consider the manipulation not significant?