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2014 | OriginalPaper | Chapter

Clustering of Stratified Aggregated Data Using the Aggregate Association Index: Analysis of New Zealand Voter Turnout (1893–1919)

Authors : Eric J. Beh, Duy Tran, Irene L. Hudson, Linda Moore

Published in: Analysis and Modeling of Complex Data in Behavioral and Social Sciences

Publisher: Springer International Publishing

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Abstract

Recently, the Aggregate Association Index (AAI) was proposed to identify the likely association structure between two dichotomous variables of a 2×2 contingency table when only aggregate, or equivalently the marginal, data are available. In this paper we shall explore the utility of the AAI and its features for analysing gendered New Zealand voting data in 11 national elections held between 1893 and 1919. We shall demonstrate that, by using these features, one can identify clusters of homogeneous electorates that share similar voting behaviour between the male and female voters. We shall also use these features to compare the association between gender and voting behaviour across each of the 11 elections.

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Literature
go back to reference Aitkin, M., & Hinde, J. P. (1984). Comments to “Tests of significance for 2x2 contingency tables”. Journal of the Royal Statistical Society, Series A, 47, 453–545. Aitkin, M., & Hinde, J. P. (1984). Comments to “Tests of significance for 2x2 contingency tables”. Journal of the Royal Statistical Society, Series A, 47, 453–545.
go back to reference Barnard, G. A. (1984). Comments to “Tests of significance for 2x2 contingency tables”. Journal of the Royal Statistical Society, Series A, 47, 449–450. Barnard, G. A. (1984). Comments to “Tests of significance for 2x2 contingency tables”. Journal of the Royal Statistical Society, Series A, 47, 449–450.
go back to reference Brown, P., & Payne, C. (1986). Aggregate data, ecological regression and voting transitions. Journal of the American Statistical Association, 81, 453–460.CrossRefMathSciNet Brown, P., & Payne, C. (1986). Aggregate data, ecological regression and voting transitions. Journal of the American Statistical Association, 81, 453–460.CrossRefMathSciNet
go back to reference Chambers, R. L., & Steel, D. G. (2001). Simple methods for ecological inference in 2×2 tables. Journal of the Royal Statistical Society, Series A, 164, 175–192.CrossRefMATHMathSciNet Chambers, R. L., & Steel, D. G. (2001). Simple methods for ecological inference in 2×2 tables. Journal of the Royal Statistical Society, Series A, 164, 175–192.CrossRefMATHMathSciNet
go back to reference Duncan, O. D., & Davis, B. (1953). An alternative to ecological inference. American Social Review, 18, 665–666.CrossRef Duncan, O. D., & Davis, B. (1953). An alternative to ecological inference. American Social Review, 18, 665–666.CrossRef
go back to reference Fisher, R. A. (1935). The logic of inductive inference (with discussion). Journal of the Royal Statistical Society, Series A, 98, 39–82.CrossRef Fisher, R. A. (1935). The logic of inductive inference (with discussion). Journal of the Royal Statistical Society, Series A, 98, 39–82.CrossRef
go back to reference Forcina, A., Gnaldi, M., & Bracalente, B. (2012). A revised Brown and Payne model of voting behaviour applied to the 2009 elections in Italy. Statistical Methods and Applications, 21, 109–119.CrossRefMathSciNet Forcina, A., Gnaldi, M., & Bracalente, B. (2012). A revised Brown and Payne model of voting behaviour applied to the 2009 elections in Italy. Statistical Methods and Applications, 21, 109–119.CrossRefMathSciNet
go back to reference Goodman, L. A. (1953). Ecological regressions and behavior of individuals. American Social Review, 18, 663–664.CrossRef Goodman, L. A. (1953). Ecological regressions and behavior of individuals. American Social Review, 18, 663–664.CrossRef
go back to reference Hudson, I. L., Moore, L., Beh, E. J., & Steel, D. G. (2010). Ecological inference techniques: an empirical evaluation using data describing gender and voter turnout at New Zealand elections, 1893–1919. Journal of the Royal Statistical Society, Series A, 173, 185–213.CrossRefMathSciNet Hudson, I. L., Moore, L., Beh, E. J., & Steel, D. G. (2010). Ecological inference techniques: an empirical evaluation using data describing gender and voter turnout at New Zealand elections, 1893–1919. Journal of the Royal Statistical Society, Series A, 173, 185–213.CrossRefMathSciNet
go back to reference King, G. (1997). A Solution to the Ecological Inference Problem. Princeton University Press: Princeton. King, G. (1997). A Solution to the Ecological Inference Problem. Princeton University Press: Princeton.
go back to reference Lattin, J., Carroll, J. D., & Green, P. E. (2003). Analyzing multivariate data. VIC: Thomson. Lattin, J., Carroll, J. D., & Green, P. E. (2003). Analyzing multivariate data. VIC: Thomson.
go back to reference Steel, D. G., Beh, E. J., & Chambers, R. L. (2004). The information in aggregate data. In G. King, O. Rosen, & M. Tanner (Eds.), Ecological Inference: New Methodological Strategies (pp. 51–68). Cambridge: Cambridge University Press.CrossRef Steel, D. G., Beh, E. J., & Chambers, R. L. (2004). The information in aggregate data. In G. King, O. Rosen, & M. Tanner (Eds.), Ecological Inference: New Methodological Strategies (pp. 51–68). Cambridge: Cambridge University Press.CrossRef
go back to reference Tran, D., Beh, E. J., & Hudson, I. L. (2012). The aggregate association index and its application in the 1893 New Zealand election. In: Proceedings of the 5th ASEARC Conference (pp. 22–25). Tran, D., Beh, E. J., & Hudson, I. L. (2012). The aggregate association index and its application in the 1893 New Zealand election. In: Proceedings of the 5th ASEARC Conference (pp. 22–25).
go back to reference Wakefield, J. (2004). Ecological inference for 2 × 2 tables (with discussion). Journal of the Royal Statistical Society, Series A, 167, 385–424.CrossRefMathSciNet Wakefield, J. (2004). Ecological inference for 2 × 2 tables (with discussion). Journal of the Royal Statistical Society, Series A, 167, 385–424.CrossRefMathSciNet
Metadata
Title
Clustering of Stratified Aggregated Data Using the Aggregate Association Index: Analysis of New Zealand Voter Turnout (1893–1919)
Authors
Eric J. Beh
Duy Tran
Irene L. Hudson
Linda Moore
Copyright Year
2014
DOI
https://doi.org/10.1007/978-3-319-06692-9_3

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