When it comes to confidence intervals and hypothesis testing there are two important limitations to keep in mind. The significance level1, \(\alpha\), or the confidence interval coverage, \(1 – \alpha\), only apply to one test or estimate, not to a series of tests or estimates. are only appropriate if the estimate or test was not […]

# multiple comparisons

## Pairwise comparisons of proportions

Pairwise comparison means comparing all pairs of something. If I have three items A, B and C, that means comparing A to B, A to C, and B to C. Given n items, I can determine the number of possible pairs using the binomial coefficient: $$ \frac{n!}{2!(n – 2)!} = \binom {n}{2}$$ Using the R […]