The rank-based association between two variables can be modeled by introducing a latent normal level to ordinal data. We demonstrate how this approach yields Bayesian inference for Kendall's τ, improving on a recent Bayesian solution based on its asymptotic properties.

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doi.org/10.1016/j.spl.2018.10.004
Statistics & Probability Letters
Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands

van Doorn, J., Ly, A., Marsman, M., & Wagenmakers, E.-J. (2019). Bayesian estimation of Kendall's τ using a latent normal approach. Statistics & Probability Letters, 145, 268–272. doi:10.1016/j.spl.2018.10.004