ssdTOST {BayesRepDesign}

Sample size determination for replication success based on TOST equivalence

Description

This function computes the standard error required to achieve replication success with a certain probability and based on establishing the absence of a practically relevant effect size with the Two One-Sided Tests (TOST) procedure in the replication study.

Usage

ssdTOST(level, dprior, power, margin, searchInt = c(0, 2))

Arguments

level

Significance level for the TOST p-value

dprior

Design prior object

power

Desired probability of replication success

margin

The equivalence margin > 0 for the equivalence region around zero that defines a region of practically irrelevant effect sizes

searchInt

Interval for numerical search over replication standard errors

Value

Returns an object of class "ssdRS". See ssd for details.

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

Anderson, S. F. and Maxwell, S. E. (2016). There's more than one way to conduct a replication study: Beyond statistical significance. Psychological Methods, 21(1), 1-12. doi:10.1037/met0000051

Examples

## specify design prior
to1 <- 0.05
so1 <- 0.05
dprior <- designPrior(to = to1, so = so1, tau = 0.05)
ssdTOST(level = 0.05, dprior = dprior, power = 0.9, margin = 0.3)