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Statistical Evidence in Experimental Psychology
The authors provide a practical comparison of p values, effect sizes, and default Bayes factors as measures of statistical evidence, using 855 recently published t tests in psychology and conclude that the Bayesian approach is comparatively prudent, preventing researchers from overestimating the evidence in favor of an effect.
A default Bayesian hypothesis test for correlations and partial correlations
A default Bayesian hypothesis test for the presence of a correlation or a partial correlation is proposed, which can quantify evidence in favor of the null hypothesis and allows researchers to monitor the test results as the data come in.
Why psychologists must change the way they analyze their data: the case of psi: comment on Bem (2011).
It is concluded that Bem's p values do not indicate evidence in favor of precognition; instead, they indicate that experimental psychologists need to change the way they conduct their experiments and analyze their data.
An Agenda for Purely Confirmatory Research
This article proposes that researchers preregister their studies and indicate in advance the analyses they intend to conduct, and proposes that only these analyses deserve the label “confirmatory,” and only for these analyses are the common statistical tests valid.
Hidden multiplicity in exploratory multiway ANOVA: Prevalence and remedies
This work explains the multiple-comparison problem and demonstrates that researchers almost never correct for it, and describes four remedies: the omnibus F test, control of the familywise error rate, controls of the false discovery rate, and preregistration of the hypotheses.
Performance of healthy participants on the Iowa Gambling Task.
These findings question the prevailing interpretation of IGT data and suggest that, in future applications of the IGT, key assumptions about performance of healthy participants warrant close scrutiny.
Bayesian parameter estimation in the Expectancy Valence model of the Iowa gambling task
Abstract The purpose of the popular Iowa gambling task is to study decision making deficits in clinical populations by mimicking real–life decision making in an experimental context. Busemeyer and
How to quantify support for and against the null hypothesis: A flexible WinBUGS implementation of a default Bayesian t test
A sampling-based Bayesian t test that allows researchers to quantify the statistical evidence in favor of the null hypothesis and applies to two-sample situations in which the different groups do not share the same variance.
A Default Bayesian Hypothesis Test for ANOVA Designs
This article presents a Bayesian hypothesis test for analysis of variance (ANOVA) designs. The test is an application of standard Bayesian methods for variable selection in regression models. We
An encompassing prior generalization of the Savage-Dickey density ratio
The EP approach generalizes the Savage-Dickey ratio method, and can accommodate both inequality and exact equality constraints, and is found to be a computationally efficient procedure to calculate Bayes factors for nested models.