Journal
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Volume 50, Issue 3, Pages 675-687Publisher
ELSEVIER
DOI: 10.1016/j.csda.2004.10.007
Keywords
local linear; penalized spline; bandwidth selection; undersmooth; profile-kernel based; linear mixed-effects model
Funding
- NIAID NIH HHS [R01 AI062247, R01 AI059773-01A2] Funding Source: Medline
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Partially linear models with local kernel regression are popular nonparametric techniques. However, bandwidth selection in the models is a puzzling topic that has been addressed in the literature with the use of undersmoothing and regular smoothing. In an attempt to address the strategy of bandwidth selection, we review profile-kernel based and backfitting methods for partially linear models, and justify why undersmoothing is necessary for backfitting method and why the optimal bandwidth works out for profile-kernel based method. We suggest a general computation strategy for estimating nonparametric function. We also employ the penalized spline method for partially linear models and conduct intensive simulation experiments to explore the numerical performance of the penalized spline method, profile and backfitting methods. A real dataset is analyzed with the three methods. (c) 2004 Elsevier B.V. All rights reserved.
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