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Last data update: 2014.03.03

R: UMPU Test for the Binomial Distribution

umpu.binom

R Documentation

UMPU Test for the Binomial Distribution

Description

Calculate the uniformly most powerful unbiased (UMPU) two-tailed test for the binomial distribution.

Usage

umpu.binom(x, n, p, alpha, maxiter = 10, tol = 1e-9)

Arguments

`x`	binomial observations.
`n`	number of observations.
`p`	the success probability under the null hypothesis.
`alpha`	the significance level.
`maxiter`	the maximum number of iterations allowed.
`tol`	tolerance used in testing floating point numbers.

Details

At most one of x, p, and alpha is allowed to be a vector. Evaluates the critical function for the UMPU two-tailed test for the binomial distribution, which satisfies the following

    x <- seq(0, n)
    phix <- umpu.binom(x, n, p, alpha)
    px <- dbinom(x, n, p)
    sum(phix * px) == alpha
    sum(x * phix * px) == n * p * alpha

when p is strictly between zero and one.

Value

a vector of values of the critical function.

Examples

library(ump)
umpu.binom(0:10, 10, 0.6, 0.1)