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Bayesian linear models for cardinal paired comparison data

Prince P. Osei and Ori Davidov

Computational Statistics & Data Analysis, 2022, vol. 172, issue C

Abstract: This paper develops a methodology for Bayesian updating in normal linear models in situations where the parameter of interest is restricted to a linear subspace. The methodology is motivated by and applied to the calculation of posterior distributions for the merit parameters and ranks arising in paired comparison data. The Bayesian paradigm is found to be ideal for assessing and quantifying the uncertainty in ranking procedures. The methodology is illustrated using simulated data and applied to two data sets: a network meta–analysis example and to the ranking of teams in the National Basketball Association (NBA).

Keywords: Bayesian ranking; Graphical linear models; Least squares; Network meta–analysis; Posterior projections; Singular normal priors (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:172:y:2022:i:c:s0167947322000615

DOI: 10.1016/j.csda.2022.107481

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