An Optimal Sing Test for One-sample Bivariate Location Model Using an Alternative Bivariate Ranked Set Sample
Document Type
Article
Publication Date
3-2010
Publication Title
Journal of Applied Statistics
DOI
10.1080/02664760902810805
Abstract
The aim of this paper is to find an optimal alternative bivariate ranked-set sample for one-sample location model bivariate sign test. Our numerical and theoretical results indicated that the optimal designs for the bivariate sign test are the alternative designs with quantifying order statistics with labels {((r+1)/2, (r+1)/2)}, when the set size r is odd and {(r/2+1, r/2), (r/2, r/2+1)} when the set size r is even. The asymptotic distribution and Pitman efficiencies of these designs are derived. A simulation study is conducted to investigate the power of the proposed optimal designs. Illustration using real data with the Bootstrap algorithm for P-value estimation is used.
Recommended Citation
Samawi, Hani M., Mohammed Al-Haj Ebrahem, Noha Al-Zubaidin.
2010.
"An Optimal Sing Test for One-sample Bivariate Location Model Using an Alternative Bivariate Ranked Set Sample."
Journal of Applied Statistics, 37 (4): 629-650.
doi: 10.1080/02664760902810805
https://digitalcommons.georgiasouthern.edu/biostat-facpubs/150
