Tests for Two-Sample Location Problem Based on Subsample Quantiles

Parameshwar V. Pandit, Savitha Kumari, S. B. Javali

Department of Public Health Dentistry, SDM College of Dental Sciences and Hospital, Dharwad, India.
Department of Statistics, Bangalore University, Bangalor, India.
Department of Statistics, SDM College, Ujire, India.

DOI: 10.4236/ojs.2014.41007                

Abstract

This paper presents a new class of test procedures for two-sample location problem based on subsample quantiles. The class includes Mann-Whitney test as a special case. The asymptotic normality of the class of tests proposed is established. The asymptotic relative performance of the proposed class of test with respect to the optimal member of Xie and Priebe (2000) is studied in terms of Pitman efficiency for various underlying distributions.

Keywords

U-Statistic; Class of Tests; Two-Sample Location Problem; Asymptotic Normality; Pitman ARE; Subsample Quantiles

Conflicts of Interest

The authors declare no conflicts of interest.

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