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Lookup NU author(s): Dr Jian Shi, Dr Bo Wang
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We propose a new semiparametric model for functional regression analysis, combining a parametric mixed-effects model with a nonparametric Gaussian process regression model, namely a mixed-effects Gaussian process functional regression model. The parametric component can provide explanatory information between the response and the covariates, whereas the nonparametric component can add nonlinearity. We can model the mean and covariance structures simultaneously, combining the information borrowed from other subjects with the information collected from each individual subject. We apply the model to doseresponse curves that describe changes in the responses of subjects for differing levels of the dose of a drug or agent and have a wide application in many areas. We illustrate the method for the management of renal anaemia. An individual doseresponse curve is improved when more information is included by this mechanism from the subject/patient over time, enabling a patient-specific treatment regime. Copyright (c) 2012 John Wiley & Sons, Ltd.
Author(s): Shi JQ, Wang B, Will EJ, West RM
Publication type: Article
Publication status: Published
Journal: Statistics in Medicine
Year: 2012
Volume: 31
Issue: 26
Pages: 3165-3177
Print publication date: 02/08/2012
ISSN (print): 0277-6715
ISSN (electronic): 1097-0258
Publisher: John Wiley & Sons Ltd.
URL: http://dx.doi.org/10.1002/sim.4502
DOI: 10.1002/sim.4502
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