The Information in Contingency Tables -An Application of Information-Theoretic Concepts to the Analysis of Contingency Tables.

摘要

The analysis of the information in contingency tables is an aspect of multivariate (multiple variates) analysis with particular application to qualitative or categorical as well as quantitative variables. The analysis is concerned with counts in multiway cross-classifications or multiway contingency tables. Multiway contingency tables, or cross-classifications of vectors of discrete random variables, provide a useful approach to the analysis of multivariate discrete data. The method of analysis presented will bring out the various inter-relationships among the classificatory variables in a multiway cross-classification or contingency table in many dimensions. The procedure is based on the Principle of Minimum Discrimination Information Estimation, associated statistics and Analysis of Information. General computer programs are available to provide the necessary results for inference. An analysis of a four-way contingency table is presented for illustration of these techniques. (Author)