Bayesian post-hoc tests for factorial ANOVA
I can't decide if I'm missing something conceptually or whether this just hasn't been implemented in JASP yet (v 0.14.1).
If one has a 2 x 2 between subjects design, one might be interested in conducting post-hoc tests that follows up on the interaction. An example 2x2 ANOVA dataset would be attached, but I get a 413 error when I try to attach it. The variables of interest are an individuating cue (a cue about whether a specific statement is a lie or truth) and context-general information (whether the participant believes the base rate is biased towards the presence of lies/truths) and the DV is the proportion of truth judgments made by participants (PTJ).
Ordinarily I would have a planned comparison here: When reliable honesty cues (a level of individuating cue) are available, there will be high PTJ, but when they are weak the decision depends on the context (higher PTJ when belief is that most people will tell the truth). But I'm trying to understand more about conducting post-hocs in JASP for didactic reasons.
I see that post-hoc tests are conducted for main effects but not for the interaction. There might be interest in assessing whether, when a weak honesty cue is present, there is evidence to update toward the alternative of an effect of context.
There is an option for plotting the model averaged posteriors that gives 95% CIs for each of the four cells of the design, but I'm guessing that these posteriors are not based on models that used the null control of their priors discussed in other threads/the de Jong pre-print (https://psyarxiv.com/s56mk) (Plus I'm not sure what is on the x-axis of this plot).
Any guidance would be very helpful. Thanks in advance,