Accounting for estimation uncertainty and shrinkage in Bayesian within-subject intervals: A comment on Nathoo, Kilshaw, and Masson (2018)


Heck, Daniel W.


DOI: https://doi.org/10.1016/j.jmp.2018.11.002
URL: https://www.sciencedirect.com/science/article/pii/...
Additional URL: https://psyarxiv.com/whp8t/
Document Type: Article
Year of publication: 2019
The title of a journal, publication series: Journal of Mathematical Psychology
Volume: 88
Page range: 27-31
Place of publication: San Diego, CA [u.a.]
Publishing house: Academic Press
ISSN: 0022-2496
Publication language: English
Institution: School of Social Sciences > Kognitive Psychologie u. Differentielle Psychologie (Erdfelder)
Subject: 150 Psychology
Abstract: To facilitate the interpretation of systematic mean differences in within-subject designs, Nathoo, Kilshaw, and Masson (2018, Journal of Mathematical Psychology, 86, 1-9) proposed a Bayesian within-subject highest-density interval (HDI). However, their approach rests on independent maximum-likelihood estimates for the random effects which do not take estimation uncertainty and shrinkage into account. I propose an extension of Nathoo et al.'s method using a fully Bayesian, two-step approach. First, posterior samples are drawn for the linear mixed model. Second, the within-subject HDI is computed repeatedly based on the posterior samples, thereby accounting for estimation uncertainty and shrinkage. After marginalizing over the posterior distribution, the two-step approach results in a Bayesian within-subject HDI with a width similar to that of the classical within-subject confidence interval proposed by Loftus and Masson (1994, Psychonomic Bulletin & Review, 1, 476-490).

Dieser Eintrag ist Teil der Universitätsbibliographie.




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Heck, Daniel W. ORCID: 0000-0002-6302-9252 (2019) Accounting for estimation uncertainty and shrinkage in Bayesian within-subject intervals: A comment on Nathoo, Kilshaw, and Masson (2018). Journal of Mathematical Psychology San Diego, CA [u.a.] 88 27-31 [Article]


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