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Bayesian ANCOVA

Hello team,

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.

Comments

  • The easiest way to check whether you did this correctly is to add "sense of presence" to the null model (under the tab "Model"). You might also want to tick "compare to best model" and "BF01" to the entries in the BF column tell you how much more likely the data are under the best model than any of the others.

    Cheers,

    E.J.

  • Hi E.J.,

    Here's my output:

    Am I right to say that the cond model is the best model and adding presence into the model weakens it? However, my concern here is whether I should be comparing cond + presence model with presence model (as per what I wrote in the original post above) or cond model with cond + presence model in controlling presence as a covariate.

    Please do advise, thank you so much E.J.

    1. "Am I right to say that the cond model is the best model and adding presence into the model weakens it?"

    Yes.


    Second, "my concern here is whether I should be comparing cond + presence model with presence model (as per what I wrote in the original post above) or cond model with cond + presence model in controlling presence as a covariate."

    If you want to assess whether "presence" adds anything over and above the cond model ("should the covariate be added?"), you compare cond to cond+presence. If you want to see whether there is evidence for cond while controlling for the covariate, you compare presence to cond+presence.

    Cheers,

    E.J.

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