Meaningful regression and association models for clustered ordinal data
Meaningful regression and association models for clustered ordinal data
Many proposed methods for analyzing clustered ordinal data focus on the regression model and consider the association structure within a cluster as a nuisance. However, often the association structure is of equal interest, for example, temporal association in longitudinal studies and association between responses to similar questions in a survey. We discuss the use, appropriateness and interpretability of various latent variable and Markov models for the association structure and propose a new structure that exploits the ordinality of the response. The models are illustrated with a study concerning opinions regarding government spending and an analysis of stability and change in teenage marijuana use over time, where we reveal different behavioral patterns for boys and girls through a comprehensive investigation of individual response profiles.
Jokinen, Jukka
7890f93a-e640-485e-9035-204eea758517
McDonald, John W.
9adae16e-e1e1-4ddf-bf4c-7231ee8c1c8e
Smith, Peter W. F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
14 January 2006
Jokinen, Jukka
7890f93a-e640-485e-9035-204eea758517
McDonald, John W.
9adae16e-e1e1-4ddf-bf4c-7231ee8c1c8e
Smith, Peter W. F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
Jokinen, Jukka, McDonald, John W. and Smith, Peter W. F.
(2006)
Meaningful regression and association models for clustered ordinal data.
Sociological Methodology.
(doi:10.1111/j.1467-9531.2006.00173.x).
Abstract
Many proposed methods for analyzing clustered ordinal data focus on the regression model and consider the association structure within a cluster as a nuisance. However, often the association structure is of equal interest, for example, temporal association in longitudinal studies and association between responses to similar questions in a survey. We discuss the use, appropriateness and interpretability of various latent variable and Markov models for the association structure and propose a new structure that exploits the ordinality of the response. The models are illustrated with a study concerning opinions regarding government spending and an analysis of stability and change in teenage marijuana use over time, where we reveal different behavioral patterns for boys and girls through a comprehensive investigation of individual response profiles.
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Submitted date: 14 January 2005
Published date: 14 January 2006
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Local EPrints ID: 14001
URI: http://eprints.soton.ac.uk/id/eprint/14001
ISSN: 1467-9531
PURE UUID: d737a0d6-b3b7-4b52-9f3c-c63d2628946b
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Date deposited: 14 Jan 2005
Last modified: 16 Mar 2024 02:42
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Author:
Jukka Jokinen
Author:
John W. McDonald
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