Contingency tables with given marginals.

SUMMARY In its simplest formulation the problem considered is to estimate the cell probabilities pij Of an r x c contingency table for which the marginal probabilities pi and p j are known and fixed, so as to minimize E2pij In (Pi/r1ij), where rij are the corresponding entries in a given contingency table. An iterative procedure is given for determining the estimates and it is shown that the estimates are BAN, and that the iterative procedure is convergent. A summary of results for a four-way contingency table is given. An illustrative example is given.

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