A note on the generalization of Rosenbaum's test for two-sample scale problem.

Autor: Joshi, Venkatesh B., Shetty, Ishwar D.
Předmět:
Zdroj: Model Assisted Statistics & Applications; 2008, Vol. 3 Issue 1, p59-69, 11p, 11 Charts
Abstrakt: Rosenbaum [12] proposed a distribution-free test for the two-sample scale problem based on a number of X-sample observations lying between the extremes of the Y-sample observations. We propose a distribution-free test for the two-sample scale problem; this test is resistant to possible outliers in both samples and generalizes the tests due to Rosenbaum [12] as well as a test due to Shetty and Bhat [7]. The performance of the test is evaluated in terms of Pitman's asymptotic relative efficiency. An alternative expression in terms of ranks of ordered X-sample observations in the joint ranking of X and Y-sample observations is given to facilitate the computation of the test statistic and tabulate the upper cutoff points of the exact null distribution of the test statistic. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index