negative_binomial_p_one_sample {LRTesteR}

Test the p parameter of a negative binomial distribution.

Description

Test the p parameter of a negative binomial distribution.

Usage

negative_binomial_p_one_sample(
  num_failures,
  num_successes,
  p,
  alternative = "two.sided",
  conf.level = 0.95
)

Arguments

num_failures

Number of failures.

num_successes

Number of successes.

p

Hypothesized probability of success.

alternative

a character string specifying the alternative hypothesis, must be one of "two.sided" (default), "greater" or "less".

conf.level

confidence level of the likelihood interval.

Value

An S3 class containing the test statistic, p value, likelihood based confidence 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. 48 failures before 52 successes.
negative_binomial_p_one_sample(48, 52, .50, "two.sided")

# Null is false. 25 failures before 75 successes.
negative_binomial_p_one_sample(25, 75, .50, "two.sided")