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We consider an empirical process based upon ratios of selected pairs of spacings, generated by independent samples of arbitrary sizes. As a main result, we show that when both samples are uniformly distributed on (possibly shifted) intervals of equal lengths, this empirical process converges to a mean-centered Brownian bridge of the form B C(u) = B(u)−6Cu(1−u) Σ0 1 B(s)ds, where B(·) denotes a Brownian bridge, and C, a constant. The investigation of the class of Gaussian processes {B C(·): C ∈ ℝ} leads to some unexpected distributional identities such as B 2(·)

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B(·). We discuss this and similar results in an extended framework.

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MAAG, U. R. and STEPHENS, M. A., The V NM two-sample test, Ann. Math. Statist . 39 (1968), 923-935. MR 37 #3710 The V NM two-sample test Ann. Math

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127 307 315 Lee, E.T., M.M. Desu and E.A. Gehan. 1975. A Monte Carlo study of the power of some two-sample tests. Biometrika 62: 425

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. 1979. Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests. Ann. Statist. 7: 697-717. Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests

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), using the χ 2 -test and two-sample-test (isolation frequency and resistance trends). P values <0.05 were considered statistically significant. Ethics The study was deemed exempt from ethics review by the Institutional Review Board of the University of

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