How to quantify support for and against the null hypothesis: a flexible WinBUGS implementation of a default Bayesian t test.
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.
Wetzels
Ruud
R
University of Amsterdam, Amsterdam, The Netherlands. wetzels.ruud@gmail.com
Raaijmakers
Jeroen G W
JG
Jakab
Emöke
E
Wagenmakers
Eric-Jan
EJ
D001499:Bayes Theorem; D015982:Bias; D003625:Data Collection; D003627:Data Interpretation, Statistical; D006801:Humans; D015233:Models, Statistical; D011589:Psychology, Experimental / Q000706:statistics & numerical data*; D015203:Reproducibility of Results