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In the context of data that lie on the simplex, we investigate use ofempirical and exponential empirical likelihood, and Hotelling and Jamesstatistics, to test the null hypothesis of equal population means based on twoindependent samples. We perform an extensive numerical study using datasimulated from various distributions on the simplex. The results, takentogether with practical considerations regarding implementation, support theuse of bootstrap-calibrated James statistic.

Nonparametric hypothesis testing for equality of means on the simplex