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.
- alternative distribution,
- empirical distribution function,
- null distribution,
Available at: http://works.bepress.com/mike_steele/1/