Abstract
A general class of distribution-free tests for testing homogeneity of location parameters for several samples against ordered alternatives has been proposed in the present paper. This test is based on linear combination of two-sample U-statistics proposed by Kumar (J Comb Inf Syst Sci 40(1–4): 211–223, 2015). The asymptotic distribution of the proposed test is obtained, and comparisons are made with respect to some other competing tests in sense of Pitman asymptotic relative efficiency for different underlying distributions. An optimal choice of sub-sample size is also provided to attain the maximum efficiency. A real-life data set example is provided to see the implementation of the proposed test. Power of the proposed test is also assessed using Monte Carlo simulation.
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The authors thank two anonymous referees and editor for their valuable suggestions, which led to improved presentation of earlier version of manuscript. The first author acknowledges support provided by University Grants Commission, New Delhi, through Junior Research Fellowship (UGC-JRF)
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Goyal, M., Kumar, N. (2019). A General Class of Tests for Testing Homogeneity of Location Parameters Against Ordered Alternatives. In: Deep, K., Jain, M., Salhi, S. (eds) Logistics, Supply Chain and Financial Predictive Analytics. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-0872-7_13
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