Work

Bayesian rank-based hypothesis testing for the rank sum test, the signed rank test, and Spearman's ρ

Year: 2020

Type: article

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 ρs.

Source: Journal of Applied Statistics

DOI: 10.1080/02664763.2019.1709053

Authors: J. van Doorn, A. Ly, M. Marsman, E.-J. Wagenmakers

Institutions: University of Amsterdam, Centrum Wiskunde & Informatica

Language: English

Topic: Statistical Methods and Bayesian Inference

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Centrum Wiskunde and Informatica

Awards: G3200997162, The Psychometrics of Learning.