An Application of the Simplex Method for Estimation Problems Related to Contingency Tables

Edward L. Melnick, Uri Yechiali

Research output: Contribution to journalArticlepeer-review

Abstract

The problem considerad hers is the adjustment of crosstabulated sampled data which tit known marginal totals but retain their original relationships to each other as measured by a statistical criterion (e.g., the minimisation of Meyman's todified chisquare, the maximization of the likelihood function, the minimization of the discrimination information number). In this paper a mathematical aodel and algorithm are Presentsd from which the adjusted cell counts are computed so that they satisfy exactly any of the proposed statistical criteria, subjact to the marginal constraints. These integer valued estimates are obtained in a finite number of iterations using readily availabIe computer programs.

Original languageEnglish
Pages (from-to)1121-1132
Number of pages12
JournalCommunications in Statistics
Volume4
Issue number12
DOIs
StatePublished - Jan 1975
Externally publishedYes

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