Powers of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions

Steele, Michael, and Chaseling, Janet (2006) Powers of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions. Communications in Statistics: simulation and computation, 35 (4). pp. 1067-1075.

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Abstract

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 (Kolmogorov-Smirnov, Cramér-von Mises and Anderson-Darling) 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 (), flat (or platykurtic type), sharp (or leptokurtic type) and bimodal alternative distributions.

Item ID: 280
Item Type: Article (Refereed Research - C1)
Keywords: Goodness-of-fit, Power, Null distribution, Alternative distribution, Empirical distribution function
Additional Information:

© Taylor & Francis 2006. This journal is available online (use hypertext link above)

ISSN: 1532-4141
Date Deposited: 06 Nov 2006
FoR Codes: 01 MATHEMATICAL SCIENCES > 0104 Statistics > 010401 Applied Statistics @ 50%
01 MATHEMATICAL SCIENCES > 0104 Statistics > 010405 Statistical Theory @ 50%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
Citation Count from Web of Science Web of Science 12
Downloads: Total: 2
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