Hypothesis testClassical statistics

Bayesian One-Sample t-test

The Bayesian one-sample t-test compares a single group's mean against a fixed reference value using a Bayes factor rather than a p-value. It quantifies the evidence the data provide for the null hypothesis (mean equals the reference) versus the alternative, and yields a full posterior distribution over the effect size — enabling statements about practical magnitude, not just a binary reject-or-retain decision.

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Sources

  1. Rouder, J. N., Speckman, P. L., Sun, D., Morey, R. D., & Iverson, G. (2009). Bayesian t tests for accepting and rejecting the null hypothesis. Psychonomic Bulletin & Review, 16(2), 225–237. DOI: 10.3758/PBR.16.2.225
  2. Kruschke, J. K. (2014). Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan (2nd ed.). Academic Press. ISBN: 978-0124058880

Related methods

Referenced by

ScholarGateBayesian one-sample t-test (Bayesian One-Sample t-test). Retrieved 2026-06-04 from https://scholargate.app/tr/statistics/bayesian-one-sample-t-test