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I see that Mann-Whitney is implemented in the Bayesian Independent t-test but there is no Wilcoxon alternative in the Paired Samples t-test. Is there any reason for this?
Yes, the R-code and research are there. I am currently waiting for a rewrite of the analysis, but after that is done, I will implement the analysis!
For now there is R-code available at https://osf.io/gny35/ and the paper is available at https://arxiv.org/abs/1712.06941.