Pval: Functions for the distribution of p-values

In selectMeta: Estimation of Weight Functions in Meta Analysis

Description

The density of the p-value generated by a test of the hypothesis

H_0 : Y \sim N(0, σ^2) \ \ vs. \ \ H_1 : Y \sim N(θ, η^2)

has the form

f(p; θ, σ, η) = \frac{σ}{2 η} \frac{φ\Bigl((-σ Φ^{-1}(p / 2) - θ) / η\Bigr) + φ\Bigl((σ Φ^{-1}(p / 2) - θ) / η\Bigr)}{φ(Φ^{-1}(p / 2))}

where η^2 = u^2 + σ^2. We refer to Rufibach (2011) for details.

Usage

dPval(p, u, theta, sigma2)
pPval(q, u, theta, sigma2)
qPval(prob, u, theta, sigma2)
rPval(n, u, theta, sigma2, seed = 1)

Arguments

p, q	Quantile.
prob	Probability.
u	Standard error of the effect size.
theta	Effect size.
sigma2	Random effect variance component.
n	Number of random numbers to be generated.
seed	Seed to set.

Value

dPval gives the density, pPval gives the distribution function, qPval gives the quantile function, and rPval generates random deviates for the density f(p; θ, σ, η).

Author(s)

Kaspar Rufibach (maintainer), [e-mail],
http://www.kasparrufibach.ch

References

Dear, K.B.G. and Begg, C.B. (1992). An Approach for Assessing Publication Bias Prior to Performing a Meta-Analysis. Statist. Sci., 7(2), 237–245.

Rufibach, K. (2011). Selection Models with Monotone Weight Functions in Meta-Analysis. Biom. J., 53(4), 689–704.

selectMeta documentation built on May 2, 2019, 4:22 a.m.