Summary
LetN=[n ij ] (i=1, …,r;j=1, …,c) be the matrix of observed frequencies in anr×c contingency table fromr possibly different multinomial populations with respective probabilitiesp i =(p i1, …,p ic ).Freeman andHalton have proposed an exact conditional test for the hypothesisH 0 :p i =(p 1, …p c ) of the exact test is derived. Numerical values forβ(p) were previously computed for the special case:r=3,c=2 [Bennett andNakamura, 1964].
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References
Bennett, B. M. andE. Nakamura: “Tables for testing significance in a 2 × 3 contingency table”, Technometrics,5, 501–511, 1963.
—— “The power function of the exact test for the 2 × 3 contingency table”, Technometrics,6, 439–458, 1964.
Freeman, G. H. andJ. H. Halton: “On an exact treatment of contingency, goodness of fit and other problems of significance”, Biometrika,38, 141–149, 1951.
Rao, C. R.: Linear Statistical Inference and Its Applications, New York, 1965.
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Bennett, B.M. On the power function of the exact test for ther×c contingency table. Metrika 15, 6–8 (1970). https://doi.org/10.1007/BF02613549
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DOI: https://doi.org/10.1007/BF02613549