Smooth semi-parametric adjustment of rate differences, risk differences and relative risks

Mark M. Donoghoe, Ian C. Marschner

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

    Abstract

    New computational methods have recently been developed that allow stable fitting of constrained GLMs with bounded non-canonical link functions, such as the log link binomial model. By employing B-splines, we can extend these approaches to allow for semi-parametric adjustment of rate differences, risk differences and relative risks. These methods provide alternatives to standard fitting methods, resulting in greater stability for accommodating the required parameter bounds. They also provide a straightforward way to accommodate additional restrictions such as monotonic regression functions. We demonstrate an application to data from a clinical trial of oxygen supplementation in premature infants.
    Original languageEnglish
    Title of host publicationProceedings of the 29th International Workshop on Statistical Modelling
    EditorsThomas Kneib, Fabian Sobotka, Jan Fahrenholz, Henriette Irmer
    Place of PublicationGöttingen, Germany
    PublisherStatistical Modelling Society
    Pages105-110
    Number of pages6
    Volume1
    Publication statusPublished - 2014
    EventInternational Workshop on Statistical Modelling (29th : 2014) - Göttingen, Germany
    Duration: 14 Jul 201418 Jul 2014
    Conference number: 29th

    Conference

    ConferenceInternational Workshop on Statistical Modelling (29th : 2014)
    Abbreviated title29th IWSM 2014
    CountryGermany
    CityGöttingen
    Period14/07/1418/07/14

    Keywords

    • Generalized additive model
    • Semi-parametric model
    • Rate difference
    • Risk difference
    • Relative risk

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