How to quantify support for and against the null hypothesis: A flexible WinBUGS implementation of a default Bayesian t test |
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Authors: | Ruud Wetzels Jeroen G. W. Raaijmakers Emöke Jakab Eric-Jan Wagenmakers |
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Affiliation: | (1) University of Missouri, Columbia, MO, USA;(2) University of Groningen, Groningen, The Netherlands |
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Abstract: | We propose a sampling-based Bayesian t test that allows researchers to quantify the statistical evidence in favor of the null hypothesis. This Savage—Dickey (SD) t test is inspired by the Jeffreys—Zellner—Siow (JZS) t test recently proposed by Rouder, Speckman, Sun, Morey, and Iverson (2009). The SD test retains the key concepts of the JZS test but is applicable to a wider range of statistical problems. The SD test allows researchers to test order restrictions and applies to two-sample situations in which the different groups do not share the same variance. |
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