The Matched Pairs Sign Test using Bivariate Ranked Set Sampling
The matched pairs sign test using bivariate ranked set sampling (BVRSS) is introduced and investigated. We show that this test is asymptotically more efﬁcient than its counterpart sign test based on a bivariate simple random sample (BVSRS). The asymptotic null distribution and the efﬁciency of the test are derived. The Pitman asymptotic relative efﬁciency is used to compare the asymptotic performance of the matched pairs sign test using BVRSS versus using BVSRS. For small sample sizes, the bootstrap method is used to estimate P-values. Numerical comparisons and real data are used to gain insight about the efﬁciency of the BVRSS sign test compared to the BVSRS sign test. Our numerical and theoretical results indicate that using BVRSS for the matched pairs sign test is substantially more efﬁcient than using BVSRS.
Eastern North American Region International Biometric Society Annual Conference (ENAR)
Samawi, Hani M., Mohammad F. Al-Saleh, Obaid Al-Saidy.
"The Matched Pairs Sign Test using Bivariate Ranked Set Sampling."
Biostatics Faculty Presentations.