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arXiv · 1201.1431

An introduction to how chi-square and classical exact tests often wildly misreport significance and how the remedy lies in computers

William Perkins·Mark Tygert·Rachel Ward
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Abstract

Goodness-of-fit tests based on the Euclidean distance often outperform chi-square and other classical tests (including the standard exact tests) by at least an order of magnitude when the model being tested for goodness-of-fit is a discrete probability distribution that is not close to uniform. The present article discusses numerous examples of this. Goodness-of-fit tests based on the Euclidean metric are now practical and convenient: although the actual values taken by the Euclidean distance and similar goodness-of-fit statistics are seldom humanly interpretable, black-box computer programs can rapidly calculate their precise significance.

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William Perkins, Mark Tygert, Rachel Ward. 2012-01-06. An introduction to how chi-square and classical exact tests often wildly misreport significance and how the remedy lies in computers. https://arxiv.org/abs/1201.1431

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