JSM 2005 - Toronto

Abstract #303534

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 321
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #303534
Title: Model-based Sampling Selection under an Anisotropic Population
Author(s): Chang-Tai Chao*+ and Feng-Min Lin
Companies: National Cheng Kung University and National Cheng Kung University
Address: Department of Statistics, Tainan City, 701, Taiwan
Keywords: Anisotropic Population ; Spatial Sampling ; Model-Based Sampling ; Eigensystem
Abstract:

To select n sampling units out of N population units to predict the population quantity of interest in spatial statistics, an appropriate spatial sample design is required to recognize and account for the spatial auto-correlation in the spatial process; for example, a spatial systematic design traditionally would be used for better prediction results. This is, however, only effective under certain population covariance structures, such as an isotropic population model. For more general cases, the optimal sampling strategies can be used to select the optimal sample with which the mean-square error is minimized. Nevertheless, the practical interest of such optimal sampling strategies is seriously restricted by the intensive computational load and model assumption required to select the optimal sample. The object of this study is to construct spatial sampling designs under an anisotropic population to predict the population quantity of interest, such as population mean level, with lower prediction error. The performances of the proposed designs based on the relative efficiency of the proposed designs to simple random sampling will be illustrated with simulation study.


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Revised March 2005