Wilcoxon Signed Rank Test Using Median Ranked Ordering-Set Sampling

펼치기

The method of median ranked ordering-set sampling(ROSS(m)) as an opposed ranked ordering-set sampling(ROSS) and ranked-set sampling(RSS) is discussed. We propose the test statistic using Wilcoxon signed rank test on ROSS(m). This method is effective when observations are expensive and measurement is perhaps destructive or invasive. We consider the case where sample size is odd. This method obtains slightly more informations than ROSS and RSS methods. We show that the asymptotic relative efficiencies of ROSS(m) with respect to ROSS and RSS are always greater than 1 for any underlying distribution.