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ABSTRACT
The present paper deals with the problem of testing equality of locations of two multivariate distributions using a notion of data depth. A notion of data depth has been used to measure centrality/outlyingness of a given point in a given data cloud. The paper proposes two nonparametric tests for testing equality of locations of two multivariate populations which are developed by observing the behavior of the depth versus depth plot. Simulation study reveals that the proposed tests are superior to the existing tests based on the data depth with regard to power. Illustrations with real data are provided.
Acknowledgment
Authors would like to thank reviewers for their valuable comments and suggestions to improve the quality of the paper. This work is supported by the University Grants Commission New Delhi (INDIA) under innovative program- Teaching and Research in Interdisciplinary and Emerging Area and University Grants Commission New Delhi (INDIA) under Special Assistance Program (SAP) sanctioned to Department of Statistics, Shivaji University, Kolhapur (INDIA).