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Parametric variable selection in generalized partially linear models with an application to assess condom use by HIV-infected patients
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Leng, Chenlei, Liang, Hua and Martinson, Neil (2011) Parametric variable selection in generalized partially linear models with an application to assess condom use by HIV-infected patients. Statistics in Medicine, Volume 30 (Number 16). pp. 2015-2027. doi:10.1002/sim.4233 ISSN 0277-6715.
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Official URL: http://dx.doi.org/10.1002/sim.4233
Abstract
To study significant predictors of condom use in HIV-infected adults, we propose the use of generalized partially linear models and develop a variable selection procedure incorporating a least squares approximation. Local polynomial regression and spline smoothing techniques are used to estimate the baseline nonparametric function. The asymptotic normality of the resulting estimate is established. We further demonstrate that, with the proper choice of the penalty functions and the regularization parameter, the resulting estimate performs as well as an oracle procedure. Finite sample performance of the proposed inference procedure is assessed by Monte Carlo simulation studies. An application to assess condom use by HIV-infected patients gains some interesting results, which cannot be obtained when an ordinary logistic model is used.
Item Type: | Journal Article | ||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||
Journal or Publication Title: | Statistics in Medicine | ||||||
Publisher: | John Wiley & Sons Ltd. | ||||||
ISSN: | 0277-6715 | ||||||
Official Date: | 20 July 2011 | ||||||
Dates: |
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Volume: | Volume 30 | ||||||
Number: | Number 16 | ||||||
Page Range: | pp. 2015-2027 | ||||||
DOI: | 10.1002/sim.4233 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access |
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