Cited by 742Statistical Methods and Bayesian InferenceStatistical Distribution Estimation and ApplicationsDecision-Making and Behavioral Economics

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Rejecting or Accepting Parameter Values in Bayesian Estimation

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Kruschke, John K.·2018·Advances in Methods and Practices in Psychological Science

DOI 10.1177/2515245918771304

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Abstract

This article explains a decision rule that uses Bayesian posterior distributions as the basis for accepting or rejecting null values of parameters. This decision rule focuses on the range of plausible values indicated by the highest density interval of the posterior distribution and the relation between this range and a region of practical equivalence (ROPE) around the null value. The article also discusses considerations for setting the limits of a ROPE and emphasizes that analogous considerations apply to setting the decision thresholds for p values and Bayes factors.

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Additional file 6 of Exploring the psychometric properties of the externalizing spectrum inventory-brief form in a Swedish forensic psychiatric inpatient sample
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Additional file 8 of Exploring the psychometric properties of the externalizing spectrum inventory-brief form in a Swedish forensic psychiatric inpatient sample
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Authors: Kruschke, J. K.
Affiliations: Indiana University Bloomington (US)
Corresponding author: Kruschke, John K.
ORCID: Kruschke, John K.
Venue: Advances in Methods and Practices in Psychological Science
Publisher: SAGE Publications
Published: 2018-05-08
Volume: 1
Issue: 2
Pages: 270-280
ISSN: 2515-2459 (ISSN-L)
2515-2467
DOI: 10.1177/2515245918771304
OpenAlex: W2801776818
Cited by: 734
References: 51
Citations by year: 2026: 99 · 2025: 128 · 2024: 128 · 2023: 98 · 2022: 85 · 2021: 93 · 2020: 67 · 2019: 25 · 2018: 10
FWCI: 41.08
Type: journal article
Language: en
Open access: bronze
doi.org
Licence: journals.sagepub.com/page/policies/text-and-data-mining-license (tdm)
Locations: Advances in Methods and Practices in Psychological Science (publishedVersion)
IUScholarWorks Open (Indiana University) (submittedVersion)
OSF Preprints (OSF Preprints) (submittedVersion)
Funders: U.S. Food and Drug Administration
Topics: Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
Social Sciences › Decision Sciences › General Decision Sciences › Decision-Making and Behavioral Economics
Keywords: Bayesian hypothesis testing, null hypothesis rejection, highest density interval, region of practical equivalence, posterior distribution, decision threshold, p-values, Bayes factor, parameter values

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Rejecting or Accepting Parameter Values in Bayesian Estimation

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