In this part of the website, we explore the binomial distribution and, in particular, how to do hypothesis testing based on the binomial distribution. We also explain the relationship between the binomial and normal distributions, as well as some related distributions, namely the proportion, negative binomial, geometric, hypergeometric, beta, PERT, multinomial, Dirichlet, Poisson, and Skellam distributions.
Topics
- Binomial Distribution
- Hypothesis Testing
- Relationship with Normal Distribution
- Proportion Distribution
- Negative Binomial and Geometric Distributions
- Hypergeometric Distribution
- Beta Distribution
- PERT Distribution
- Multinomial Distribution
- Dirichlet Distribution
- Poisson Distribution
- Binomial Distribution and Random Walks
- Runs
- Statistical Power for One Sample Testing using Binomial Distribution
- Sample Size Required for One Sample Testing using Binomial Distribution
References
Forbes, C. Evans, M, Hastings, N., Peacock, B. (2011) Statistical distributions. 4th Ed, Wiley
https://www.wiley.com/en-us/Statistical+Distributions%2C+4th+Edition-p-9780470390634
Wikipedia (2012) Binomial distribution
https://en.wikipedia.org/wiki/Binomial_distribution