On Distribution-free Runs Test for Symmetry using Median Ranked Set Sampling
Optimal ranked set sample design for distribution-free runs test of symmetry is introduced. Our investigation revealed that the optimal ranked set sample designs for runs test of symmetry are those with quantifying order statistics with labels when the set size r is odd and when the set size r is even. The exact null distribution is provided. Numerical analysis of the power of the proposed optimal designs is included. Illustration using real data is used.
Eastern North American Region International Biometric Society Annual Conference (ENAR)
Samawi, Hani M., Robert L. Vogel.
"On Distribution-free Runs Test for Symmetry using Median Ranked Set Sampling."
Biostatics Faculty Presentations.