The Rule of Three states that 3/n is an upper 95% confidence bound for binomial probability p when in n independent trials no events occur. We discuss the derivation of this rule, its validity in small samples, and propose some alternatives. The material may serve well as a thought-provoking introduction to a clinical trials, statistical consulting, or a categorical data class, and is interesting on its own merit.
- Binomial probability
- Clinical research
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty