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Psychometrika

, Volume 68, Issue 2, pp 267–287 | Cite as

Multilevel logistic regression for polytomous data and rankings

  • Anders Skrondal
  • Sophia Rabe-Hesketh
Articles

Abstract

We propose a unifying framework for multilevel modeling of polytomous data and rankings, accommodating dependence induced by factor and/or random coefficient structures at different levels. The framework subsumes a wide range of models proposed in disparate methodological literatures. Partial and tied rankings, alternative specific explanatory variables and alternative sets varying across units are handled. The problem of identification is addressed. We develop an estimation and prediction methodology for the model framework which is implemented in the generally available gllamm software. The methodology is applied to party choice and rankings from the 1987–1992 panel of the British Election Study. Three levels are considered: elections, voters and constituencies.

Key words

multilevel models generalized linear latent and mixed models factor models random coefficient models polytomous data rankings first choice discrete choice permutations nominal data gllamm 

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Copyright information

© The Psychometric Society 2003

Authors and Affiliations

  1. 1.Department of Biostatistics and ComputingInstitute of PsychiatryLondon
  2. 2.Division of EpidemiologyNorwegian Institute of Public HealthOsloNorway

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