A reformulation of the aggregate association index using the odds ratio

Beh, E, Tran, D and Hudson, I 2013, 'A reformulation of the aggregate association index using the odds ratio', Computational Statistics and Data Analysis, vol. 68, pp. 52-65.

Document type: Journal Article
Collection: Journal Articles

Title A reformulation of the aggregate association index using the odds ratio
Author(s) Beh, E
Tran, D
Hudson, I
Year 2013
Journal name Computational Statistics and Data Analysis
Volume number 68
Start page 52
End page 65
Total pages 14
Publisher Elsevier BV
Abstract Since its inception in the 1950s the odds ratio has become one of the most simple and popular measures available for analysing the association between two dichotomous variables. Since the direction and magnitude of the association can be captured in such a simple measure, its impact has been felt throughout much of scientific research, in particular in epidemiology and clinical trials. Despite this, its applicability for analysing aggregate data has rarely been considered. In this paper we shall express a new measure of association (the aggregate association index, or AAI), in terms of the classic odds ratio. The advantage of doing so is that we are able to explore the use of the odds ratio in a context for which it was not originally intended, and that is for the analysis of a 2×2 table where only the aggregate data is known.
Subject Statistical Theory
Keyword(s) 2×2 contingency table
Aggregate association index (AAI)
Chi-squared statistic
Fisher's criminal twin data
New Zealand voting data (1883-1919)
DOI - identifier 10.1016/j.csda.2013.06.009
Copyright notice Crown Copyright © 2013 Published by Elsevier B.V. All rights reserved.
ISSN 0167-9473
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