Median ranked set sampling for polynomial regression

Name: Median ranked set sampling for polynomial regression
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Median ranked set sampling for polynomial regression

Authors

Mohd T. Alodat, Gottfried Jetschke

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

01-2011

Issn

1824-6672 (print) | 2283-6659 (digital)

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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.

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