It is well known that the Pearson statistic χ^ 2 χ 2 can perform poorly in studying the
association between ordinal categorical variables. Taguchi's and Hirotsu's statistics have …

The aim of this paper is to evaluate the relationships between three categorical variables, of
which at least one is ordinal, from a graphical point of view and using also inferential tools …

The Pearson's X 2 statistic and the likelihood ratio statistic G 2 are most frequently used for
testing independence or homogeneity, in two-way contingency table. These indexes are …

Every random variable (rv) X (or random vector) with finite moments generates a set of
orthogonal polynomials, which can be used to obtain properties related to the distribution of …

Taguchi's statistic has long been known to be a more appropriate measure of association of
the dependence for ordinal variables compared to the Pearson chi-squared statistic …

The odds ratio (OR) is a measure of association used for analysing an I× J contingency
table. The total number of ORs to check grows with I and J. Several statistical methods have …

Hirotsu's statistic is a suitable measure for studying the association between two variables
on an ordinal scale. For visualizing the nature of the association, such a statistic can be …

Several extensions of correspondence analysis have been introduced in literature coping
with the possible ordinal structure of the variables. They usually obtain a graphical …

Every random q-vector with finite moments generates a set of orthonormal polynomials.
These are generated from the basis functions xn= xn 11… x nq q using Gram–Schmidt …

Partial correspondence analysis (Yanai, in: Diday, Escoufier, Lebart, Pagès, Schektman,
Thomassone (eds) Data analysis and informatics IV, North-Holland, Amsterdam, pp 193 …