JSM 2004 - Toronto

Abstract #301033

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Activity Number: 52
Type: Contributed
Date/Time: Sunday, August 8, 2004 : 4:00 PM to 5:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #301033
Title: Calibration Estimation for Quantiles
Author(s): Torsten N.J. Harms*+ and Pierre Duchesne
Companies: Université de Montréal and Université de Montréal
Address: , Montreal, H2V 3M8, Canada
Keywords: survey ; sampling ; calibration ; GREG ; quantile
Abstract:

In survey sampling, calibration--or GREG--estimators are of widespread use. However, their application is usually limited to the estimation of means or totals. A generalization of the calibration approach will be presented, where the measure of interest as well as for the known covariates of the population can be any arbitrary measure. In most cases there exists no analytic solution of the resulting calibration problem. However, in the case of quantiles, it is possible to find an analytic expression of the calibrated weights. These will be presented along with the resulting variance estimator and confidence intervals for this new quantile-estimator. A Monte-Carlo study will evaluate this new estimator under different sampling designs and for different populations. Emphasis will be laid on the performance relative to other known estimators for quantiles that make use of auxiliary information such as difference-, ratio-, or model-based approaches.

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