Extreme probabilities for contingency tables under row and column independence with application to fisher's exact test |
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| Authors: | Harry Joe |
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| Institution: | Department of Statistics , University of British Columbia , 2021 West Mall, Vancouver, B.C., V6T1W5, Canada |
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| Abstract: | Theorerms are proved for the maxima and minima of IIRi!/IICj!/T!IIyij ! over r× c contingcncy tables Y=(yij) with row sums R1,…,Rr, column sums C1,…,Cc, and grand total T. These results are imlplemented into the network algorithm of Mehta and Patel (1983) for computing the P-value of Fisher's exact test for unordered r×c contingency tables. The decrease in the amount of computing time can be substantial when the column sums are very different. |
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| Keywords: | contingency table Fisher's exact test network algorithm |
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