Bayesian t tests for accepting and rejecting the null hypothesis

By Jeffrey N. Rouder, Paul L. Speckman, Dongchu Sun, Richard D. Morey, Geoffrey J. Iverson. Psychonomic Bulletin & Review, 2009

3,569 citations recorded by the source corpus.

Subfields: General Decision Sciences, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/8372ba0c67a322bc31ccfcf6510c09bc66d6dd59

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In General Decision Sciences

In Statistics and Probability

Citations in the corpus

How Bayesian statistics are needed to determine whether mental states are unconscious (2015, neutral): “In general, B indicates how much more probable the data are on one theory (say H1, the alternative hypothesis, your pet theory) rather than on another theory (say H0, the null hypothesis); thus it measures the amount of evidence data provide for H1 compared to H0 (e.g. Jeffreys 1939/1961; Berger and”
Some Natural Solutions to the p-Value Communication Problem—and Why They Won’t Work (2017, methodology): “…for reform is to preserve the idea of hypothesis testing but to abandon tail-area probabilities (p-values) and instead summarize inference by the posterior probabilities of the null and alternative models, a method associated with Jeffreys (1961) and discussed recently by Rouder et al. (2009).”
An Agenda for Purely Confirmatory Research (2012, neutral): “The articles by Simmons et al. (2011) and John et al.”
Bayesian data analysis. (2010, methodology): “The Bayesian model-comparison approach is sometimes touted as a way to garner evidence in favor of the null hypothesis (e.g., Gallistel, 2009; Rouder et al., 2009), unlike traditional NHST which can only reject the null hypothesis and never accept it.”
Equivalence Tests (2017, neutral): “…also alternative approaches to providing statistical support for a small or null effect, such as estimation (calculating effect sizes and CIs), specifying a region of practical equivalence (Kruschke, 2010), or calculating Bayes factors (Dienes, 2014; Rouder, Speckman, Sun, Morey, & Iverson, 2009).”
Improving Methodological Standards in Behavioral Interventions for Cognitive Enhancement (2019, methodology): “We also note that this practice of full reporting applies also to alternative methods to quantify statistical evidence, such as the recently proposed Bayes factors (Morey et al. 2016; Rouder et al. 2009).”
Default Bayes factors for ANOVA designs (2012, methodology): “This tension, that null hypotheses are theoretically desirable yet are impossible to support by significance testing, has been noted repeatedly (Gallistel, 2009; Kass, 1993; Raftery, 1995; Rouder et al., 2009).”
Assessing the reliability of textbook data in syntax: Adger's Core Syntax1 (2012, methodology): “This means that the p-values that we report are two-tailed, and the Bayes factors that we report are the JSZ Bayes factor equation from Rouder et al. (2009), which assumes (i) a non-directional H1 (equivalent to a two-tailed t-test), and (ii) an equal prior probability of the two hypotheses.”
Bilingual advantages in executive functioning either do not exist or are restricted to very specific and undetermined circumstances. (2015, background): “As Rouder et al. (2009) put it: “Researchers, therefore, can rest assured that increasing sample size will, on average, result in a gain of evidence against the null when the null is, indeed, false” p. 226.”
Using Bayes to get the most out of non-significant results (2014, methodology): “…of evidence for two theories (e.g., Berger and Delampady, 1987; Kass and Wasserman, 1996; Goodman, 1999; Lee and Wagenmakers, 2005; Gallistel, 2009; Rouder et al., 2009; Dienes, 2011; Kruschke, 2011).5 The Bayes factor B comparing an alternative hypothesis to the null hypothesis means that the…”