On the Optimality of Bivariate Ranked Set Sample Design for Matched Pairs Sign Test
Document Type
Article
Publication Date
2010
Publication Title
Brazilian Journal of Statistics
DOI
10.1214/08-BJPS010
Abstract
An optimal alternative bivariate ranked set sample designs for the matched pairs sign test are obtained. Our investigation revealed that the optimal bivariate ranked set sample designs for matched pairs sign test are those with quantifying order statistics with labels {((r+1)/2, (r+1)/2)} when the set size r is odd and {(r/2, r/2), (r/2 + 1, r/2 + 1)} when the set size r is even. The exact null distributions, asymptotic distributions and Pitman efficiencies of those designs are derived. Numerical analysis of the power of the proposed optimal designs is included. An illustration using real data with a bootstrap algorithm for P-value estimation is used.
Recommended Citation
Samawi, Hani M., Mavis Pararai.
2010.
"On the Optimality of Bivariate Ranked Set Sample Design for Matched Pairs Sign Test."
Brazilian Journal of Statistics, 24 (1): 24-41: Brazilian Statistical Association.
doi: 10.1214/08-BJPS010
https://digitalcommons.georgiasouthern.edu/biostat-facpubs/7
