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Activity Number: 389
Type: Contributed
Date/Time: Wednesday, August 9, 2006 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics and the Environment
Abstract - #306267
Title: A Weighting Class Adjustment Estimator in a Continuous Domain
Author(s): Breda Munoz*+ and Virginia M. Lesser and Leigh Harrod
Companies: RTI International and Oregon State University and Oregon State University
Address: 3040 Cornwallis Road, Research Triangle Park, NC, 27709-2194,
Keywords: environmental surveys ; missing data ; continuous domain ; Horvitz-Thompson estimator ; weighting class adjustment
Abstract:

Environmental phenomena are the result of random processes that evolve in space and/or time. Environmental surveys are not exempt of missing data issues. Therefore, analysis results when the missing data problem is ignored may be biased, depending on the missing data mechanism. The missing at random (MAR) mechanism assumes that given the observed data, the probability of missing data depends on covariates only. A weighting class adjustment is a common technique used by survey analysts for missing data when the missing mechanism is assumed MAR. In complex surveys, this technique has been used for finite population sampling data. However, the weighting class adjustment has not been used for continuous populations. We extend the concept of weighting class adjustment to the continuous domain and develop an unbiased weighting class adjustment estimator under a stratified sampling assumption.


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