Some notes about nonparametric tests for the equality of two populations

• Autores: Claudio G. Borroni
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 10, Nº. 1, 2001, págs. 147-159
• Idioma: inglés
• DOI: 10.1007/bf02595829
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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 under H0 shows an interesting link with Brownian motion in [0,1].