A survey of algorithms for exact distributions of test statistics in r\(\times c\) contingency tables with fixed margins
Testing of independence in an \(r\times c\) table is generally carried out by using a continuous limiting distribution of the test statistic, rather than the discrete distribution itself. This paper surveys algorithms for the computation of the latter. The central idea is the efficient enumeration of all tables with the same margins, or of a suitable subset thereof. The simplest case is Fisher's exact test for a \(2\times 2\) table and a one-side alternative hypothesis. Fisher's method is easily extended to \(r\times c\) tables and to arbitrary statistics.
scientific article; zbMATH DE number 3940468
scientific article