Joint regression and association modeling of longitudinal ordinal data
Ekholm, Anders, Jokinen, Jukka, McDonald, John W. and Smith, Peter W.F. (2003) Joint regression and association modeling of longitudinal ordinal data. Biometrics, 59, (4), 795-803. (doi:10.1111/j.0006-341X.2003.00093.x).
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We propose models for longitudinal, or otherwise clustered, ordinal data. The association between subunit responses is characterized by dependence ratios (Ekholm, Smith, and McDonald, 1995, Biometrika82, 847–854), which are extended from the binary to the multicategory case. The joint probabilities of the subunit responses are expressed as explicit functions of the marginal means and the dependence ratios of all orders, obtaining a computational advantage for likelihood-based inference. Equal emphasis is put on finding regression models for the univariate cumulative probabilities, and on deriving the dependence ratios from meaningful association-generating mechanisms. A data set on the effects of treatment with Fluvoxamine, which has been analyzed in parts before (Molenberghs, Kenward, and Lesaffre, 1997, Biometrika84, 33–44), is analyzed in its entirety. Selection models are used for studying the sensitivity of the results to drop-out.
|Digital Object Identifier (DOI):||doi:10.1111/j.0006-341X.2003.00093.x|
|Subjects:||Q Science > QH Natural history > QH301 Biology
H Social Sciences > HA Statistics
|Divisions:||University Structure - Pre August 2011 > School of Social Sciences > Social Statistics
|Date Deposited:||17 May 2006|
|Last Modified:||31 Mar 2016 12:02|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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