Equivalence tests for one proportion

[mdelacre]

Adding a function for equivalence tests for one proportion would be a nice idea. While the Wald method based on the normal approximation is very common, it might be inappropriate. Among other:

• it produces limits out of the possible range of values (below 0 or above 1).
• normally distributed only with large n

For a reference comparing CI calculations by 7 methods, see Newcombe (1998). Among other, Newcombe mention:

• direct calculation of the binominal distribution (very conservative)
• the Wilson Score --> more accurate than the normal approximation, not as conservative as the direct calculation of the binominal distribution AND easy to compute with softwares.

Best,

Marie

Newcombe, R. 1998. Two-sided confidence intervals for the single proportion: Comparison of
seven methods. Statist. Medic. 17: 857-72.

[Lakens]

This is a nice addition - I will try to work on it when I find time!