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Reporting Bayesian ANOVA comparing 3 groups

Hello all

I'm new in the Bayesian and JASP world and currently navigating through reporting my analysis using JASP, but the more I delve into it, the more confusion seems to crop up. It's as if some crucial values needed for reporting aren't readily available within JASP (for what I want to do).

My study involves comparing nutrient content in food items classified into three distinct groups. After running the analysis, I obtain a model comparison yielding a Bayes Factor of BF10=9.421xE31.

To lok deeper into the differences between each group (1 vs 2, 1 vs 3, 2 vs 3), I performed model-averaged posterior summaries, distributions, and post-hoc tests. However, when it comes to reporting, I encounter a hurdle. Some literature, like Keysers et al. 2020, recommends reporting 'median posterior δ and 95% CI', but I've hit a dead end in finding this information within the software. I've attempted various methods, including using R packages like brms, yet the challenge persists, likely due to the presence of three levels rather than two in my analysis.

So, what am I overlooking? Is there a misstep in my approach? My goal is to report both the Bayes Factor from the ANOVA and the posthoc tests, specifically for each comparison between the groups.

Comments

  • So you'd like the posterior median and 95% CI for the differences between the three groups, right?

    If you click "Estimates" you'll find the posterior means and 95% credible intervals -- is the problem that you would like to report the median instead of the mean? Usually, in these models, the difference is minute; on our GitHub page you can request that we add the median (for details see https://jasp-stats.org/2018/03/29/request-feature-report-bug-jasp/)

    EJ

  • edited January 4

    Hello EJ

    Happy new year!

    Yes, It seems that it is recommended to report it but I might be wrong, this is just what the paper I mentionned (https://doi.org/10.1038/s41593-020-0660-4) recommended. I Just want to make sure I follow a good protocol so it is easy to readers to interpret my results.

    I see so, you think reporting the posterior median instead of the mean is not that necessary?

    Thanks for the link I check it out !

  • No I don't think it will matter much (I do personally prefer the median though :-))

    EJ

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