Abstract
The performance of a regression estimator based on the double ranked set sample (DRSS) scheme, introduced by Al-Saleh and Al-Kadiri (2000), is investigated when the mean of the auxiliary variable X is unknown. Our primary analysis and simulation indicates that using the DRSS regression estimator for estimating the population mean substantially increases relative efficiency compared to using regression estimator based on simple random sampling (SRS) or ranked set sampling (RSS) (Yu and Lam, 1997) regression estimator. Moreover, the regression estimator using DRSS is also more efficient than the naïve estimators of the population mean using SRS, RSS (when the correlation coefficient is at least 0.4) and DRSS for high correlation coefficient (at least 0.91.) The theory is illustrated using a real data set of trees.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol7iss2pp311-322
- Journal
- Sultan Qaboos University Journal for Science, 7(2), 311
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Samawi, H. M., & Tawalbeh, E. M. (2002). Regression Estimator Using Double Ranked Set Sampling. Sultan Qaboos University Journal for Science, 7(2), 311. https://doi.org/10.24200/squjs.vol7iss2pp311-322
MLA 9
Samawi, Hani M., and Eman M. Tawalbeh. "Regression Estimator Using Double Ranked Set Sampling." Sultan Qaboos University Journal for Science, vol. 7, no. 2, 2002, pp. 311. https://doi.org/10.24200/squjs.vol7iss2pp311-322.
Chicago (author–date)
Samawi, Hani M., and Eman M. Tawalbeh. 2002. "Regression Estimator Using Double Ranked Set Sampling." Sultan Qaboos University Journal for Science 7 (2): 311. https://doi.org/10.24200/squjs.vol7iss2pp311-322.
Harvard
Samawi, H. M. and Tawalbeh, E. M. (2002) 'Regression Estimator Using Double Ranked Set Sampling', Sultan Qaboos University Journal for Science, 7(2), pp. 311. doi:10.24200/squjs.vol7iss2pp311-322.
Vancouver
Samawi HM, Tawalbeh EM. Regression Estimator Using Double Ranked Set Sampling. Sultan Qaboos University Journal for Science. 2002;7(2):311. doi:10.24200/squjs.vol7iss2pp311-322
IEEE
H. M. Samawi, and E. M. Tawalbeh, "Regression Estimator Using Double Ranked Set Sampling," Sultan Qaboos University Journal for Science, vol. 7, no. 2, pp. 311, 2002, doi: 10.24200/squjs.vol7iss2pp311-322.