JSM 2005 - Toronto

Abstract #302328

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 46
Type: Invited
Date/Time: Sunday, August 7, 2005 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #302328
Title: Nonparametric Small-area Estimation Using Penalized Spline Regression
Author(s): Jean D. Opsomer*+ and Jay Breidt and Gerda Claeskens and Goeran Kauermann and Giovanna Ranalli
Companies: Iowa State University and Colorado State University and Katholieke Universiteit Leuven and Universitaet Bielefeld and Universita di Perugia
Address: 216A Snedecor Hall, Ames, IA, 50011, USA
Keywords: smoothing ; mixed model ; BLUP
Abstract:

Penalized spline regression provides a convenient framework for constructing nonparametric small-area estimators in natural resource surveys. At the population level, the relationship between the variable of interest and continuous auxiliary variables is modeled as a smooth but otherwise unspecified function, while the small area effects are incorporated in the model through a random effects specification. Presented here are the resulting nonparametric small-area estimator and discussion of its statistical properties. The methodology is applied to a survey of lakes in the northeastern United States.

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Revised March 2005