Improved testing for the binomial distribution using chi-squared components with data-dependent cells

Authors

Donald John Best, University of WollongongFollow
J. C. W Rayner, University of WollongongFollow

RIS ID

43330

Publication Details

Best, D. J. & Rayner, J. (2006). Improved testing for the binomial distribution using chi-squared components with data-dependent cells. Journal of Statistical Computation and Simulation, 76 (1), 75-81.

Abstract

A power study suggests that a good test of fit analysis for the binomial distribution is provided by a data-dependent Chernoff–Lehmann X ² test with class expectations greater than unity, and its components. These data-dependent statistics involve arithmetically simple parameter estimation, convenient approximate distributions and provide a comprehensive assessment of how well the data agree with a binomial distribution. We suggest that a well-performed single test of fit statistic is the Anderson–Darling statistic.