Conditional symmetry models for three-way contingency tables

Kateri, Maria; Δελλαπόρτας, Πέτρος

doi:10.1016/j.jspi.2012.02.026

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Cited by 2 publications

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“…In terms of the log-linear parametrisation, a QS model of order d , QS v (d ), is defined by imposing equality and symmetry constraints, similar to (6), on all the interaction parameters of the same order, for orders greater than d , d = 1,…, v − 1. More recently, Kateri & Dellaportas (2012) introduced conditional symmetry models of order up to 2 for such three-way tables (v = 3). Multi-way tables with commensurable classification variables occur in longitudinal studies, when a response is repeatedly observed over time.…”

Section: Discussionmentioning

confidence: 99%

Generalised quasi‐symmetry models for ordinal contingency tables

Kateri

Gottard

Tarantola

2017

Aus NZ J of Statistics

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Summary 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.

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Section: Discussionmentioning

confidence: 99%