Skip to main content
Article
Powers of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions.
Communications in Statistics—Simulation and Computation (2006)
  • Mike Steele, james cook university
  • Janet Chaseling, Griffith University
Abstract

Extract

The comparative powers of six discrete goodness-of-fit test statistics for a uniform null distribution against a variety of fully specified alternative distributions are discussed. The results suggest that the test statistics based on the empirical distribution function for ordinal data are generally more powerful for trend alternative distributions. The test statistics for nominal (Pearson’s chi-square and the nominal Kolmogorov–Smirnov) and circular data (Watson’s test statistic) are shown to be generally more powerful for the investigated triangular (v), flat (or platykurtic type), sharp (or leptokurtic type), and bimodal alternative distributions.

Keywords
  • alternative distribution,
  • empirical distribution function,
  • goodnessof-fit,
  • null distribution,
  • power
Publication Date
December 1, 2006
Citation Information
Mike Steele and Janet Chaseling. "Powers of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions." Communications in Statistics—Simulation and Computation (2006)
Available at: http://works.bepress.com/mike_steele/1/