porsBFr {BayesRepDesign}

Probability of replication success based on replication Bayes factor

Description

This function computes the probability to achieve replication success based on the replication Bayes factor. The replication Bayes factor is assumed to be oriented so that values below one indicate replication success, whereas values above one indicate evidence for the null hypothesis.

Usage

porsBFr(level, dprior, sr, paradox = TRUE)

Arguments

level

Bayes factor level below which replication success is achieved

dprior

Design prior object

sr

Replication standard error

paradox

Should the probability of replication success be computed allowing for the replication paradox (replication success when the effect estimates from original and replication study have a different sign)? Defaults to TRUE

Value

The probability to achieve replication success

Author(s)

Samuel Pawel

References

Pawel, S., Consonni, G., and Held, L. (2022). Bayesian approaches to designing replication studies. arXiv preprint. doi:10.48550/arXiv.2211.02552

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

Ly, A., Etz, A., Marsman, M., & Wagenmakers, E.-J. (2018). Replication Bayes factors from evidence updating. Behavior Research Methods, 51(6), 2498-2508. doi:10.3758/s13428-018-1092-x

Examples

## specify design prior
to1 <- 0.2
so1 <- 0.05
dprior <- designPrior(to = to1, so = so1, tau = 0.03)
porsBFr(level = 1/10, dprior = dprior, sr = c(0.05, 0.04))