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A mixture model for longitudinal partially ranked data

Francis, Brian and Dittrich, Regina and Hatzinger, Reinhold and Humphreys, Leslie (2014) A mixture model for longitudinal partially ranked data. Communications in Statistics - Theory and Methods, 43 (4). 722–734. ISSN 0361-0926

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    Abstract

    This paper discusses the use of mixture models in the analysis of longitudinal partially ranked data, where respondents, for example, choose only the preferred and second preferred out of a set of items. To model such data we convert it to a set of paired comparisons. Covariates can be incorporated into the model. We use a nonparametric mixture to account for unmeasured variability in individuals over time. The resulting multivalued mass points can be interpreted as latent classes of the items. The work is illustrated by two questions on (post)materialism in three sweeps of the British Household Panel Survey

    Item Type: Article
    Journal or Publication Title: Communications in Statistics - Theory and Methods
    Additional Information: This is an Author's Accepted Manuscript of an article published in A Mixture Model for Longitudinal Partially Ranked Data DOI:10.1080/03610926.2013.815779 Brian Francisa, Regina Dittrich, Reinhold Hatzinger & Les Humphreys pages 722-734 in Communications in Statistics - Theory and Methods 2014 copyright Taylor & Francis, available online at: http://www.tandfonline.com/doi/abs/10.1080/03610926.2013.815779
    Uncontrolled Keywords: Partially ranked data ; Mixture model ; Bradley-Terry model ; Paired comparisons ; Latent class model ; Nonparametric maximum likelihood
    Subjects:
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 65643
    Deposited By: ep_importer_pure
    Deposited On: 09 Jul 2013 10:16
    Refereed?: Yes
    Published?: Published
    Last Modified: 23 Oct 2017 03:35
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/65643

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