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Median ranked set sampling for polynomial regression

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Median ranked set sampling for polynomial regression
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2011 - 1
title Median ranked set sampling for polynomial regression
authors
publisher Vita e Pensiero
format Article | Pdf
online since 01-2011
issn 18246672 (print)
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SUMMARY
The purpose of this article is to study the ploynomial linear regression model under the median ranked set sampling (MRSS) scheme introduced by Muttlak (1997). If the response variable can be more easily ranked than quantified, then we use the MRSS to collect data by ranking on the response variable. We obtain estimators and confidence intervals for the polynomial regression parameters under MRSS when the errors have a symmetric distribution. We also show that the least square estimators, under MRSS, are more efficient than their SRS counterparts and give illustrating examples.
Keywords: Median Ranked Set Sample, Polynomial Regression.