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Parametrization and penalties in spline models with an application to survival analysis
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Costa, Maria J. (Maria João) and Shaw, J. Ewart H. (2008) Parametrization and penalties in spline models with an application to survival analysis. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology . Working papers, Vol.2008 (No.2).
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Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...
Abstract
In this paper we show how a simple parametrization, built from the definition of cubic
splines, can aid in the implementation and interpretation of penalized spline models, whatever
configuration of knots we choose to use. We call this parametrization value-first derivative
parametrization. We perform Bayesian inference by exploring the natural link between quadratic
penalties and Gaussian priors. However, a full Bayesian analysis seems feasible only for some
penalty functionals. Alternatives include empirical Bayes methods involving model selection
type criteria. The proposed methodology is illustrated by an application to survival analysis
where the usual Cox model is extended to allow for time-varying regression coefficients.
Item Type: | Working or Discussion Paper (Working Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Spline theory, Knot theory | ||||
Series Name: | Working papers | ||||
Publisher: | University of Warwick. Centre for Research in Statistical Methodology | ||||
Place of Publication: | Coventry | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.2008 | ||||
Number: | No.2 | ||||
Number of Pages: | 19 | ||||
Institution: | University of Warwick | ||||
Status: | Not Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 1 August 2016 | ||||
Date of first compliant Open Access: | 1 August 2016 | ||||
Funder: | Fundação para a Ciência e a Tecnologia (FCT) | ||||
Grant number: | SFRH/BD/16955/2004 (FCT) |
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