Four tests of fit for the beta-binomial distribution

Abstract

Tests based on the Anderson–Darling statistic, a third moment statistic and the classical Pearson–Fisher X ² statistic, along with its third-order component, are considered. A small critical value and power study are given. Some examples illustrate important applications.

Keywords:

• Anderson–Darling statistic
• multinomial distribution
• Pearson's X ²
• third moment statistic
• third-order component

Acknowledgements

The authors wish to thank two anonymous referees for their constructive comments. This research was supported by the IAP research network, Grant no. P6/03 of the Belgium Government (Belgian Science Policy).