BayesRepDesign (version 0.42)

ssdEqu: Sample size determination for replication success based on effect size equivalence

Description

This function computes the standard error required to achieve replication success with a certain probability and based on effect size equivalence of original and replication effect size. Effect size equivalence is defined by the confidence interval for the difference between the original and replication effect sizes falling within an equivalence region around zero defined by the specified margin.

Usage

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

Value

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

Arguments

level

1 - confidence level of confidence interval for effect size difference

dprior

Design prior object

power

Desired probability of replication success

margin

The equivalence margin > 0 for the symmetric equivalence region around zero

searchInt

Interval for numerical search over replication standard errors

Author

Samuel Pawel

References

Pawel, S., Consonni, G., and Held, L. (2022). Bayesian approaches to designing replication studies. arXiv preprint. tools:::Rd_expr_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. tools:::Rd_expr_doi("10.1037/met0000051")

Examples

## specify design prior
to1 <- 0.2
so1 <- 0.05
dprior <- designPrior(to = to1, so = so1, tau = 0.05)
ssdEqu(level = 0.1, dprior = dprior, power = 0.8, margin = 0.2)