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313787

Odds-Ratio Distance Measures of Departure from Three Row Effects Models for Two-Way Contingency Tables

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Last updated: 05 Jan 2025

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Abstract

For two-way contingency tables, Goodman (1979) considered the local row effects (R) model and Agresti (1984, p.125, p.147) considered the logit row effects (LR) model and the global row effects (GR) model. This paper proposes three measures which represent the degrees of departure from the R, LR, and GR models. The proposed measures are expressed as a minimum Euclid distance between (i) the local odds-ratios, (ii) the local- global odds-ratios, and (iii) the global odds-ratios, and the corresponding odds-ratios with the structure of R, LR, and GR, respectively. The measures would be useful for comparing the degrees of departure from each row effects model in several tables. Examples are given. Note that the proposed measures are extensions of Altham's (1970) measure of departure from the null association model, and Tomizawa's (1993a) and Tomizawa, Seo and Fujino's (1995) measures of departure from the local, logit, and global uniform association models.   

DOI

10.21608/esju.2002.313787

Keywords

Association - Global Odds-Ratio - Local Odds-Ratio, Logit, Measure - Row Effects Model

Volume

46

Article Issue

1

Related Issue

43025

Issue Date

2002-06-01

Publish Date

2002-06-01

Page Start

1

Page End

21

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313787.html

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https://esju.journals.ekb.eg/service?article_code=313787

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Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Odds-Ratio Distance Measures of Departure from Three Row Effects Models for Two-Way Contingency Tables

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Article

Created At

28 Dec 2024