, Volume 10, Issue 1, pp 147–159 | Cite as

Some notes about nonparametric tests for the equality of two populations

  • Claudio G. Borroni


A new nonparametric test for the equality of two populations is proposed. The test is a generalization of the Girone-Cifarelli test (see Girone 1964, and Cifarelli 1974, 1975) which has been shown to be occasionally more powerful than other nonparametric tests, such as the Kolmogorov-Smirnov test. The test is based on a measure of dissimilarity between the sequences of ranks corresponding to the samples drawn from the two populations. The test can be adapted to verify the hypothesis of equality against one-sided and two-sided alternatives. Exact and asymptotic critical values of the test are provided. The asymptotic distribution of the test-statistic underH o shows an interesting link with Brownian motion in [0,1].

Key Words

Brownian motion Girone-Cifarelli test nonparametric tests 

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Copyright information

© Sociedad Española de Estadistica e Investigación Operativa 2001

Authors and Affiliations

  1. 1.Dipartimento di Metodi Quantitativi per l'EconomiaUniversità degli Studi, di Milano BicoccaMilanoItaly

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