Semi-parametric ordinal regression models for continuous scales

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    Abstract

    We extend the ordinal regression model for continuous scales by introducing non-parametric terms in the linear predictor. The model parameters are estimated using constrained optimisation of the penalised likelihood and the penalty parameters are automatically selected via maximisation of their marginal likelihood. An application of the model in a study on alternative chemotherapy treatments for advanced breast cancer is shown. The outcome of interest, the quality of life of patients, is modelled with fixed effects, smoothing terms and individual random effects and its association with the treatment arm over the chemotherapy cycle is estimated. The methodology has been implemented in an R package, ordinalCont, available on CRAN.
    Original languageEnglish
    Title of host publicationProceedings of the 32nd International Workshop on Statistical Modelling
    EditorsMarco Grzegorczyk, Giacomo Ceoldo
    Place of PublicationGroningen
    Pages236-241
    Number of pages6
    Volume1
    Publication statusPublished - 2017
    EventInternational Workshop on Statistical Modelling - Groningen, Netherlands
    Duration: 3 Jul 20177 Jul 2017
    https://iwsm2017.webhosting.rug.nl

    Conference

    ConferenceInternational Workshop on Statistical Modelling
    CountryNetherlands
    CityGroningen
    Period3/07/177/07/17
    Internet address

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