negative_binomial_p_one_way {LRTesteR}

Test the equality of p parameters of negative binomial distributions.

Description

Test the equality of p parameters of negative binomial distributions.

Usage

negative_binomial_p_one_way(
  num_failures,
  num_successes,
  fctr,
  conf.level = 0.95
)

Arguments

num_failures

a numeric vector indicating number of failures per group.

num_successes

a numeric vector indicating number of successes 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)
num_failures <- rnbinom(3, 50, .5)
num_successes <- rep(50, length(num_failures))
fctr <- factor(1:length(num_failures))
negative_binomial_p_one_way(num_failures, num_successes, fctr, .95)


# Null is false
set.seed(1)
num_failures <- rnbinom(3, 50, c(.25, .50, .75))
num_successes <- rep(50, length(num_failures))
fctr <- factor(1:length(num_failures))
negative_binomial_p_one_way(num_failures, num_successes, fctr, .95)