Sankhya: The Indian Journal of Statistics

2004, Volume 66, Pt. 3, 513--527

A New Nonparametric Test Using Ranked Set Data for a  Two-sample Scale Problem


{O}mer {O}zt{u}rk and Jayant V. Deshpande, Ohio State University, Columbus, USA

SUMMARY. This paper proposes a distribution-free test for the two-sample scale problem in ranked set samples. The proposed test assumes that the distribution functions of the  populations  have a common quantile. It is shown that the new test is uniformly more efficient than its simple random sample analog. The paper also proposes a method to provide a consistent variance estimate  of the test statistic  under null hypothesis and imperfect judgment ranking so that test is asymptotically distribution free even under imperfect judgment ranking.

AMS (1991) subject classification}. 62N02.

Key words and phrases. Pitman efficiency, imperfect ranking, star ordering, equality of variances.

Full paper (PDF)