pReplicate: Probability of replicating an effect of Killeen (2005)
In ReplicationSuccess: Design and Analysis of Replication Studies

Description Usage Arguments Details Value Author(s) References Examples

Computes the probability that a replication study yields an effect estimate in the same direction as in the original study.

1 2	pReplicate(po, zo = p2z(p = po, alternative = alternative), c = 1, alternative = "two.sided")

`po`	A vector of p-values from the original study, default is `NULL`
`zo`	A vector of z-values from the original study. Is calculated from `po`, if necessary.
`c`	The ratio of the variances of the original and replication effect estimates. This is usually the ratio of the sample size of the replication study to the sample size of the original study.
`alternative`	Either `"one.sided"` or `"two.sided"`. Defaults to `"two.sided"`. Specifies if the p-value is one-sided or two-sided.

This extends the statistic p_rep ("the probability of replicating an effect") by Killeen (2005) to the case of possibly unequal sample sizes, see also Senn (2002).

The probability that a replication study yields an effect estimate in the same direction as in the original study.

Leonhard Held

Killeen, P. R. (2005). An alternative to null-hypothesis significance tests. Psychological Science, 16(5), 345–353. https://doi.org/10.1111/j.0956-7976.2005.01538.x

Senn, S. (2002). Letter to the Editor, Statistics in Medicine, 21, 2437–2444.

Held, L. (2019). The assessment of intrinsic credibility and a new argument for p < 0.005. Royal Society Open Science, 6:181534. https://dx.doi.org/10.1098/rsos.181534

pReplicate(po = c(0.05, 0.01, 0.001))
pReplicate(po = c(0.05, 0.01, 0.001), c = 2)
pReplicate(po = c(0.05, 0.01, 0.001), c = 2, alternative = "one.sided")
pReplicate(zo = c(2, 3, 4))