binomial_p_one_way {LRTesteR}

Test the equality of p parameters of binomial distributions.

Description

Test the equality of p parameters of binomial distributions.

Usage

binomial_p_one_way(x, n, fctr, conf.level = 0.95)

Arguments

x

a numeric vector indicating number of successes per group.

n

a numeric vector indicating number of attempts per group.

fctr

a factor vector indicating groups.

conf.level

overall confidence level of the likelihood intervals. Uses Bonferroni correction.

Value

An S3 class containing the test statistic, p value, list of likelihood based confidence intervals, overall confidence level, individual confidence level of each interval and alternative hypothesis.

Source

• https://en.wikipedia.org/wiki/Likelihood-ratio_test

• Yudi Pawitan. In All Likelihood. Oxford University Press.

• Hodd, McKean, and Craig. Introduction to Mathematical Statistics. Pearson.

Examples

library(LRTesteR)

# Null is true.
set.seed(1)
x <- rbinom(3, 50, .5)
n <- rep(50, length(x))
fctr <- factor(1:length(x))
binomial_p_one_way(x, n, fctr, .95)

# Null is false
set.seed(1)
x <- rbinom(3, 50, c(.25, .50, .75))
n <- rep(50, length(x))
fctr <- factor(1:length(x))
binomial_p_one_way(x, n, fctr, .95)