What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?

Judgment and decision making research overwhelmingly uses null hypothesis significance testing as the basis for statistical inference. This article examines an alternative, Bayesian approach which emphasizes the choice between two competing hypotheses and quantifies the balance of evidence provided...

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Main Authors: William J. Matthews, Andreas Glöckner, Benjamin E. Hilbig
Format: Article
Language:English
Published: Cambridge University Press 2011-12-01
Series:Judgment and Decision Making
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S1930297500004265/type/journal_article
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author William J. Matthews
Andreas Glöckner
Benjamin E. Hilbig
author_facet William J. Matthews
Andreas Glöckner
Benjamin E. Hilbig
author_sort William J. Matthews
collection DOAJ
description Judgment and decision making research overwhelmingly uses null hypothesis significance testing as the basis for statistical inference. This article examines an alternative, Bayesian approach which emphasizes the choice between two competing hypotheses and quantifies the balance of evidence provided by the data—one consequence of which is that experimental results may be taken to strongly favour the null hypothesis. We apply a recently-developed “Bayesian t-test” to existing studies of the anchoring effect in judgment, and examine how the change in approach affects both the tone of hypothesis testing and the substantive conclusions that one draws. We compare the Bayesian approach with Fisherian and Neyman-Pearson testing, examining its relationship to conventional p-values, the influence of effect size, and the importance of prior beliefs about the likely state of nature. The results give a sense of how Bayesian hypothesis testing might be applied to judgment and decision making research, and of both the advantages and challenges that a shift to this approach would entail.
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spelling doaj.art-ae0e2bdd20b34a3a854494240bf33f302023-09-03T10:05:07ZengCambridge University PressJudgment and Decision Making1930-29752011-12-01684385610.1017/S1930297500004265What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?William J. Matthews0Andreas GlöcknerBenjamin E. HilbigDepartment of Psychology, University of Essex, Colchester, CO4 3SQ, United KingdomJudgment and decision making research overwhelmingly uses null hypothesis significance testing as the basis for statistical inference. This article examines an alternative, Bayesian approach which emphasizes the choice between two competing hypotheses and quantifies the balance of evidence provided by the data—one consequence of which is that experimental results may be taken to strongly favour the null hypothesis. We apply a recently-developed “Bayesian t-test” to existing studies of the anchoring effect in judgment, and examine how the change in approach affects both the tone of hypothesis testing and the substantive conclusions that one draws. We compare the Bayesian approach with Fisherian and Neyman-Pearson testing, examining its relationship to conventional p-values, the influence of effect size, and the importance of prior beliefs about the likely state of nature. The results give a sense of how Bayesian hypothesis testing might be applied to judgment and decision making research, and of both the advantages and challenges that a shift to this approach would entail.https://www.cambridge.org/core/product/identifier/S1930297500004265/type/journal_articleNull hypothesis significance testingBayesian inferenceBayes factorAnchoring
spellingShingle William J. Matthews
Andreas Glöckner
Benjamin E. Hilbig
What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?
Judgment and Decision Making
Null hypothesis significance testing
Bayesian inference
Bayes factor
Anchoring
title What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?
title_full What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?
title_fullStr What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?
title_full_unstemmed What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?
title_short What might judgment and decision making research be like if we took a Bayesian approach to hypothesis testing?
title_sort what might judgment and decision making research be like if we took a bayesian approach to hypothesis testing
topic Null hypothesis significance testing
Bayesian inference
Bayes factor
Anchoring
url https://www.cambridge.org/core/product/identifier/S1930297500004265/type/journal_article
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