| BayesRep {BayesRep} | R Documentation |
BayesRep package
Description
The BayesRep package provides various tools for Bayesian analysis of replication studies.
repPosterior visualizes the posterior distribution of the
effect size based on both studies. BFs computes the
sceptical Bayes factor (Pawel and Held, 2022), BFr computes
the replication Bayes factor (Verhagen and Wagenmakers, 2014), and
BFe computes the equality of effect size Bayes factor
(Bayarri and Mayorall, 2002).
These functions take effect estimates and their standard errors from original
and replication study as inputs. Throughout, original effect estimate and
standard error are denoted by to and so and replication
effect estimate and standard error are denoted tr and sr.
It is assumed that each effect estimate is normally distributed around
its true underlying effect size with variance equal to its squared
standard error
\code{to} \, | \, \theta_o \sim \mathrm{N}(\theta_o,
\code{so}^2) ~ \mathrm{and} ~ \code{tr} \, | \, \theta_r \sim
\mathrm{N}(\theta_r, \code{sr}^2).
These assumptions may be inadequate for
studies with small sample size (there are special functions for data with
continuous outcomes and standardized mean difference effect size,
BFsSMD and BFrSMD, and binary outcomes with
log odds ratio effects, BFslogOR and
BFrlogOR, which are based on the exact distribution of the
data). If not specified otherwise, it is assumed that the true effect
sizes from both studies are the same (\theta_o = \theta_r).
References
Bayarri, M. and Mayorall, A. (2002). Bayesian Design of "Successful" Replications. The American Statistician, 56(3): 207-214. doi:10.1198/000313002155
Verhagen, J. and Wagenmakers, E. J. (2014). Bayesian tests to quantify the result of a replication attempt. Journal of Experimental Psychology: General, 145:1457-1475. doi:10.1037/a0036731
Pawel, S. and Held, L. (2022). The sceptical Bayes factor for the assessment of replication success. Journal of the Royal Statistical Society Series B: Statistical Methodology, 84(3): 879-911. doi:10.1111/rssb.12491