pReplicate: Probability of replicating an effect by Killeen (2005)
Description
Computes the probability that a replication study yields an effect
estimate in the same direction as in the original study.
Usage
pReplicate(
po = NULL,
zo = p2z(p = po, alternative = alternative),
c,
alternative = "two.sided"
)
Value
The probability that a replication study yields an effect
estimate in the same direction as in the original study.
Arguments
po
Numeric vector of p-values from the original study, default is NULL.
zo
Numeric 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 "two.sided" (default) or "one.sided".
Specifies whether the p-value is two-sided or one-sided.
Author
Leonhard Held
Details
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).
References
Killeen, P. R. (2005). An alternative to null-hypothesis significance
tests. Psychological Science, 16, 345--353. tools:::Rd_expr_doi("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.
tools:::Rd_expr_doi("10.1098/rsos.181534")