An application of the simplex method for estimation problems related to contingency tables

Abstract

The problem considered hers is the adjustment of cross-tabulated 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 Neyman's modified chi-squars, the maximisation of the Likelihood function, the minimisation or the discrimination information number). In this paper a mathematical model and algorithm are presented from which the adjusted cell counts are computed so that they satisfy exactly any of the proposed statistical criteria subject to the marginal constraints. These integer valued estimates are obtained in a finite number of iterations using readily available computer programs.

Keywords:

• estimation
• consingency tables
• Separate convex
• objective function
• simples method