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Nonparametric Tests for Testing Equality of Location Parameters of Two Multivariate Distributions


Abstract


In this paper, we have proposed two nonparametric tests for testing equal-ity of location parameters of two multivariate distributions based on thenotion of data depth. The proposed tests are extensions of the M-basedtest due to Li and Liu (2004). The performance of proposed tests has beenassessed for symmetric as well as skewed multivariate distributions by sim-ulation experiments. The tests have better performance in terms of poweras compared to the M-based test and some of their competitors. The use oftests is illustrated with body dimension data due to Heinz et al.(2003).

DOI Code: 10.1285/i20705948v9n2p417

Keywords: nonparametric tests;data depth; permutation test

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