2011
DOI: 10.3758/s13428-010-0049-5
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A tutorial on a practical Bayesian alternative to null-hypothesis significance testing

Abstract: Null-hypothesis significance testing remains the standard inferential tool in cognitive science despite its serious disadvantages. Primary among these is the fact that the resulting probability value does not tell the researcher what he or she usually wants to know: How probable is a hypothesis, given the obtained data? Inspired by developments presented by Wagenmakers (Psychonomic Bulletin & Review, 14, 779-804, 2007), I provide a tutorial on a Bayesian model selection approach that requires only a simple tra… Show more

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Cited by 737 publications
(708 citation statements)
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“…At SOA = -150 ms, the effect of semantic relatedness was significant, F1(1, The central finding concerns the absence of an interaction between semantic and phonological relatedness at the SOA under which both types of effects were present (SOA = 0 ms). Bayesian analysis with the method suggested by Masson (2011) resulted in a Bayes factor of 5.20, with pBIC(H0|D) = .839 and pBIC(H1|D) = .161, which according to the classification suggested by Raftery (1999) constitutes "positive" evidence for the null hypothesis (i.e., an additive pattern between semantic and phonological effects).…”
Section: Resultsmentioning
confidence: 99%
“…At SOA = -150 ms, the effect of semantic relatedness was significant, F1(1, The central finding concerns the absence of an interaction between semantic and phonological relatedness at the SOA under which both types of effects were present (SOA = 0 ms). Bayesian analysis with the method suggested by Masson (2011) resulted in a Bayes factor of 5.20, with pBIC(H0|D) = .839 and pBIC(H1|D) = .161, which according to the classification suggested by Raftery (1999) constitutes "positive" evidence for the null hypothesis (i.e., an additive pattern between semantic and phonological effects).…”
Section: Resultsmentioning
confidence: 99%
“…We also report Bayes factors for each of the t tests, because Bayesian analysis provides evidence for how strongly the data favor the alternative versus the null hypothesis (Masson, 2011;Wagenmakers, 2007).…”
Section: Ex-gaussian Analysis Of Experiments 3 and 4 Combinedmentioning
confidence: 99%
“…One popular method is to quantify and correct for model complexity solely through the number of free parameters. This procedure provides the basis for statistical indices such as the Akaike information criterion (AIC; Akaike, 1973;Burnham & Anderson, 2002) and the Bayesian information criterion (BIC; Masson, 2011;Myung, 2000;Raftery, 1995;Schwarz, 1978;Wagenmakers, 2007; for a discussion on the differences between the AIC and BIC, see, e.g., Karabatsos, 2006;Vrieze, 2012).…”
Section: Alternative Methods For Comparing Toolbox Modelsmentioning
confidence: 99%