This paper extends the ordinary quasi-symmetry (QS) model for square contingency tables with commensurable classification variables. The proposed generalised QS model is defined in terms of odds ratios that apply to ordinal variables. In particular, we present QS models based on global, cumulative and continuation odds ratios and discuss their properties. Finally, the conditional generalised QS model is introduced for local and global odds ratios. These models are illustrated through the analysis of two data sets.

Generalised quasi-symmetry models for ordinal contingency tables / Kater, Maria; Gottard, Anna; Tarantola, Claudia. - In: AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS. - ISSN 1369-1473. - STAMPA. - 59:(2017), pp. 239-253. [10.1111/anzs.12194]

Generalised quasi-symmetry models for ordinal contingency tables

GOTTARD, ANNA;
2017

Abstract

This paper extends the ordinary quasi-symmetry (QS) model for square contingency tables with commensurable classification variables. The proposed generalised QS model is defined in terms of odds ratios that apply to ordinal variables. In particular, we present QS models based on global, cumulative and continuation odds ratios and discuss their properties. Finally, the conditional generalised QS model is introduced for local and global odds ratios. These models are illustrated through the analysis of two data sets.
2017
59
239
253
Kater, Maria; Gottard, Anna; Tarantola, Claudia
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1095391
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