A new statistic for testing uniformity of ranking data

Articles > Article · 1996

Authors: Mustafa Serdar KORUKOĞLU, Kadir Ertas

Communications in Statistics - Simulation and Computation, Journal Indexed in SCI Expanded, International, 1996, vol 25, pp 139-156

DOI: 10.1080/03610919608813303

Summary

In this paper, as an alternative to both the average Kendall τ and average Spearman's ρ, we propose a new statistic, τ*, to test the null hypothesis of complete randomness amongst the n judges each rank r objects independently. We define τ* based on Rao's ideas of the diversity coefficient of a population. Monte Carlo experiments we made show that the test based on the proposed statistic has better and desirable power properties relative to competing tests.

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