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Activity Number:
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111
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Type:
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Contributed
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Date/Time:
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Monday, July 30, 2007 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Statistical Computing
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| Abstract - #309406 |
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Title:
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Exact Properties of a New Test and Other Tests
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Author(s):
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Jie Peng*+ and Kalimuthu Krishnamoorthy
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Companies:
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University of Louisiana at Lafayette and University of Louisiana at Lafayette
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Address:
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326 A Cleveland Street, Lafayette, LA, 70501,
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Keywords:
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Conditional exact test ; Mid-p value ; Powers ; Parametric bootstrap ; size
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Abstract:
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The problem of testing equality of several binomial proportions is considered. An AU-test is proposed by extending a result for the two-sample case. Exact binomial distributions are used to evaluate Type I error rates of the usual chi-square test, an exact conditional test, a conditional test based on mid p-values and the AU-test are evaluated numerically. The AU test and the conditional test based on mid p-values control the Type I error rates well even for small samples whereas the exact conditional test is too conservative. The powers of the chi-square test, conditional test based on mid-p values, and the AU test are evaluated and compared. Power comparison shows that all three tests exhibit similar power properties when their sizes are within the nominal level. The AU-test practically behaves like an exact test even for small samples, and can be safely used for applications.
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