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Exact Probabilities for Contingency Tables Using Binomial Coefficients

Published online by Cambridge University Press:  01 January 2025

James M. Sakoda  and
Burton H. Cohen
James M. Sakoda
Affiliation:
University of Connecticut
Burton H. Cohen
Affiliation:
University of Connecticut
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Abstract

The use of binomial coefficients in place of factorials to shorten the calculation of exact probabilities for 2 × 2 and 2 × r contingency tables is discussed. A useful set of inequalities for estimating the cumulative probabilities in the tail of the distribution from the probability of a single table is given. A table of binomial coefficients with four significant places and n through 60 is provided.

Type
Original Paper
Information
Psychometrika , Volume 22 , Issue 1 , March 1957 , pp. 83 - 86
Copyright
Copyright © 1957 The Psychometric Society

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References

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