When populations are cross-classified with respect to two or more qualitative characters, the question often arise of the degree of association existing between the several polytomies. The main unsolved problem with traditional measures of association is that it is difficult to meaningfully compare their values. Given a particular r x c table T, our approach to association starts from the consideration of its entire Fréchet class T (ni• ; n•j): chosen a particular association ordering for all the bivariate distributions, as defined in Zenga and Greselin 2001, the relative position assumed by T in T (ni• ; n•j) can be a meaningful and sound index of association. Moreover, this family of indexes has several desirable and interesting properties that are shown in detail.

Greselin, F., Zenga, M. (2002). Measures of association in the Fréchet class. In Proceedings of the LXI SIS Scientific Meetings (pp. 33-36). Milan : Cleup.

Measures of association in the Fréchet class

Greselin, F;Zenga, M
2002

Abstract

When populations are cross-classified with respect to two or more qualitative characters, the question often arise of the degree of association existing between the several polytomies. The main unsolved problem with traditional measures of association is that it is difficult to meaningfully compare their values. Given a particular r x c table T, our approach to association starts from the consideration of its entire Fréchet class T (ni• ; n•j): chosen a particular association ordering for all the bivariate distributions, as defined in Zenga and Greselin 2001, the relative position assumed by T in T (ni• ; n•j) can be a meaningful and sound index of association. Moreover, this family of indexes has several desirable and interesting properties that are shown in detail.
No
Scientifica
Capitolo o saggio
Association ordering; Fréchet class; Association measure
English
Proceedings of the LXI SIS Scientific Meetings
88-7178-589-4
Greselin, F., Zenga, M. (2002). Measures of association in the Fréchet class. In Proceedings of the LXI SIS Scientific Meetings (pp. 33-36). Milan : Cleup.
Greselin, F; Zenga, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/5133
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