Bayesian Kruskal Wallis H Test
JASP can't do Bayesian Kruskal Wallis H Test? Is there any Bayesian alternative I could use (that is ok with non-normal data) in JASP? Is there any way to get a BF10 factor from a p-value from the Bayesian Kruskal Wallis H Test? Even if just some approximation. Thank you.
Comments
I don't think there is, at the moment. There may be, but it will probably involve some effort to get it to work.
EJ
Hi EJ
someone has been asking about this in the forum:
And it looks as if part five of this paper might help at least a bit?
Yuan, Y., & Johnson, V. E. (2008). Bayesian Hypothesis Tests Using Nonparametric Statistics. Statistica Sinica, 18(3), 1185–1200.
Best,
Tarandeep
On that link it suggested converting to ranks and then using ANOVA. When doing this using frequentist stats first as a sanity check before trying Bayesian I got a non-significant result using ranks data and ANOVA whereas got a very significant result using non-ranks data with Kruskall-Wallis H test. And so I'm not convinced of the interchangeability here. Any comment(s) welcomed. A shame because I was excited by this at first, thinking it could be a magic bullet.
@EJ Is there any way to get a BF10 factor from a p-value from the Bayesian Kruskal Wallis H Test? Even if just some approximation. I saw you're working on p-value to Bayes factor approximations: have you anything suitable? Understanding that it would be an approximation. Perhaps any approximation made for one-way ANOVA would be the closet around presently?
@EJ Reference my last post above, just noticed that @TarandeepKang wrote this which seems to be a very good option (all be it using the test statistic rather than p-value). Any comment on this option if you have any is welcomed. This seems a very nice option. Not a too simple equation but an equation to use nonetheless.
"And it looks as if part five of this paper might help at least a bit?
Yuan, Y., & Johnson, V. E. (2008). Bayesian Hypothesis Tests Using Nonparametric Statistics. Statistica Sinica, 18(3), 1185–1200."
I am still looking in to these sorts of problems, with an eye to application of the 3p*sqrt(n) rule (https://osf.io/preprints/psyarxiv/egydq).
EJ