A new test for the multivariate two-sample problem based on the concept of minimum energy

Details A new test for the multivariate two-sample problem based on the concept of minimum energy A new test for the multivariate two-sample problem based on the concept of minimum energy

2003-09-09

arxiv.org/abs/math/0309164v1

Mathematics

Probability

13 pages, 8 tables

Scientific paper

We introduce a new statistical quantity the energy to test whether two samples originate from the same distributions. The energy is a simple logarithmic function of the distances of the observations in the variate space. The distribution of the test statistic is determined by a resampling method. The power of the energy test in one dimension was studied for a variety of different test samples and compared to several nonparametric tests. In two and four dimensions a comparison was performed with the Friedman-Rafsky and nearest neighbor tests. The two-sample energy test was shown to be especially powerful in multidimensional applications.

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