Journal ArticleDOI
Tests for Independence in Two-Way Contingency Tables Based on Canonical Analysis
TLDR
In this article, the canonical structure of a two-way contingency table is emphasized to derive union-intersection (Ul•) tests for independence between two categorical variables, and a sequential way for identifying the adequate model is presented.Abstract:
ABSTRACT: The canonical structure of a two‐way contingency table is emphasized to derive union‐intersection (Ul‐) tests for independence between two categorical variables. In this context, special attention has been paid to the so‐called step‐down procedure (which is a variant of the UI‐procedure Some properties of this procedure and computational algorithms are considered and a sequential way for identifying the adequate model is presented.read more
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Journal ArticleDOI
Nonlinear canonical analysis and independence tests
TL;DR: In this article, a class of measures of association between random variables with values in any measurable spaces, constructed using symmetric nondecreasing functions and the canonical coefficients derived from nonlinear canonical analysis of the r.v.
Journal ArticleDOI
An appraisal of some aspects of statistical inference under inequality constraints
TL;DR: In this article, two principal tools, namely the likelihood and the union-intersection principles, are critically appraised with respect to their roles in drawing statistical inference when the parameters are subject to inequality constraints.