I am trying to write up the results for a Bayesian ANCOVA. As there are no specific instructions on conducting/reporting this in the manual, I am facing some issues in ensuring if whatever I am writing makes sense.
Here is my output:
In short, cond = my IV and IPQ_Avg = my covariate.
Am I right to say this: A Bayesian ANCOVA was conducted, where a model containing test condition and sense of presence was compared against the null model containing only sense of presence. The default JASP priors (r scale prior width = 0.5 for fixed effects, r scale prior width = 0.354 for covariates) were used. Given the transitive relationship between Bayes factor, the model with test condition and sense of presence (BF10 = 625,184.35) was compared to the sense of presence model (BF10 = 0.44) by division (625,184.35/0.44 ≈ 1,420,873). Hence, after explaining for the error variance attributable to sense of presence, there was still extreme evidence for the effects of test condition on object location memory despite it being weaker."
My primary concern with this write-up was if my interpretation was correct, by comparing 1,420,873 (after controlling for presence) to 2,961,000 (without controlling for presence) and showing that there is still extreme evidence for the effects of test condition. Am I doing the transitivity thing correctly?
Thanks a ton.