The hypergeometric, the normal and chi‐squared*

J. Hemelrijk

Statistica Neerlandica, 1967, vol. 21, issue 3‐4, 225-228

Abstract: This note describes a numerical investigation of the normal and χ2‐approximations to the hypergeometric distribution, which leads to a surprisingly simple foot rule. If n and r are the two smaller marginal totals, then for the tails of the distribution up to about a probability of 0.07, the normal approximation will in nearly all cases be better than the χ2 if n+r1/2N (where N is the grand marginal total) and worse otherwise. Although the two approximations are nearly equivalent, thisfootrule is so simple that it seems worth publishing.

Date: 1967
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