pBox: Computes Box's tail probability

In ReplicationSuccess: Design and Analysis of Replication Studies

Description

Box's tail probability is computed based on the z-values of the original and the replication study, the corresponding variance ratio and the significance level.

Usage

pBox(zo, zr, c, level = 0.05, alternative = "two.sided")

Arguments

zo	A vector of z-values from original studies.
zr	A vector of z-values from replication studies.
c	A vector of variance ratios 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.
level	Significance level. Default is 0.05.
alternative	either "one.sided" or "two.sided". Defaults to "two.sided". Specifies if one-sided or two-sided Box's tail probability is computed.

Value

Box's tail probability.

Author(s)

Leonhard Held

References

Box, G.E.P. (1980). Sampling and Bayes' inference in scientific modelling and robustness (with discussion). Journal of the Royal Statistical Society, Series A, 143, 383-430.

Held, L. (2020). A new standard for the analysis and design of replication studies (with discussion). Journal of the Royal Statistical Society: Series A (Statistics in Society). https://doi.org/10.1111/rssa.12493

Examples

pBox(zo = p2z(0.01), zr = p2z(0.02), c = 2)
pBox(zo = p2z(0.02), zr = p2z(0.01), c = 1/2)
pBox(zo = p2z(0.02, alternative = "one.sided"), zr = p2z(0.01, alternative = "one.sided"), 
     c = 1/2, alternative = "one.sided")

ReplicationSuccess documentation built on Dec. 2, 2020, 3 p.m.