Bayesian rank-based hypothesis testing for the rank sum test, the signed rank test, and Spearman's ρ
J. van Doorn,
A. Ly,
M. Marsman and
E.-J. Wagenmakers
Journal of Applied Statistics, 2020, vol. 47, issue 16, 2984-3006
Abstract:
Bayesian inference for rank-order problems is frustrated by the absence of an explicit likelihood function. This hurdle can be overcome by assuming a latent normal representation that is consistent with the ordinal information in the data: the observed ranks are conceptualized as an impoverished reflection of an underlying continuous scale, and inference concerns the parameters that govern the latent representation. We apply this generic data-augmentation method to obtain Bayes factors for three popular rank-based tests: the rank sum test, the signed rank test, and Spearman's $\rho _s $ρs.
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:taf:japsta:v:47:y:2020:i:16:p:2984-3006
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DOI: 10.1080/02664763.2019.1709053
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