The aggregate association index and its links with common measurements of association in a 2x2 table: An analysis of early New Zealand gendered voting data

Tran, D, Beh, E, Hudson, I and Moore, L 2013, 'The aggregate association index and its links with common measurements of association in a 2x2 table: An analysis of early New Zealand gendered voting data', in Julia Piantadosi, Robert Anderssen and John Boland (ed.) Proceedings of the 20th International Congress on Modelling and Simulation (MODSIM2013), Adelaide, Australia, 1-6 December 2013, pp. 106-112.


Document type: Conference Paper
Collection: Conference Papers

Title The aggregate association index and its links with common measurements of association in a 2x2 table: An analysis of early New Zealand gendered voting data
Author(s) Tran, D
Beh, E
Hudson, I
Moore, L
Year 2013
Conference name 20th International Congress on Modelling and Simulation, Adelaide, Australia, 1-6 December 2013
Conference location Adelaide, Australia
Conference dates 1-6 December 2013
Proceedings title Proceedings of the 20th International Congress on Modelling and Simulation (MODSIM2013)
Editor(s) Julia Piantadosi, Robert Anderssen and John Boland
Publisher The Modelling and Simulation Society of Australia and New Zealand
Place of publication Australia
Start page 106
End page 112
Total pages 7
Abstract The analysis of aggregate, or marginal, data for contingency tables is an increasingly important area of statistics, especially in political science and epidemiology. Aggregation often exists due to confidentiality issues or by source of the data itself. Aggregate data alone makes drawing conclusions about the true association between categorical variables difficult, especially in dealing with the aggregate analysis of single or stratified 2x2 contingency tables. These tables are the most fundamental of data structures when dealing with cross-classifying categorical variables hence it is not surprising that the analysis of this type of data has received an enormous amount of attention in the statistical, and related, literature. However, the information, from which the aggregate data can provide for the inference of association between the variables, is still a long standing issue. In order to analyse the association that exists between the variables of a 2x2 table, or stratified 2x2 tables, based only on the aggregate data, numerous approaches that lie within the area of Ecological Inference (EI) have been proposed. As an application of this new development, we shall analyse a unique record of New Zealand gendered election data from 1893 when it was the first selfgo verning country in the world allowing women to vote, this trend quickly spread across the globe
Subjects Statistics not elsewhere classified
Keyword(s) aggregate data
aggregate association index (AAI)
2x2 tables
ecological inference
standardised residual
New Zealand election
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ISBN 9780987214331
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