Physics – High Energy Physics – High Energy Physics - Experiment
Scientific paper
2002-03-07
Physics
High Energy Physics
High Energy Physics - Experiment
17 pages,8 figures, corrected version
Scientific paper
We present a new class of multivariate binning-free and nonparametric goodness-of-fit tests. The test quantity \emph{energy} is a function of the distances of observed and simulated observations in the variate space. The simulation follows the probability distribution function $f_{0}$ of the null hypothesis. The distances are weighted with a weighting function which can be adjusted to the variations of $f_{0}$. We have investigated the power of the test for a uniform and a Gaussian distribution of one or two variates, respectively and compared it to that of conventional tests. The energy test with a Gaussian weighting function is closely related to the Pearson $\chi ^{2}$ test but is more powerful in most applications and avoids arbitrary bin boundaries. The test is especially powerful in the multivariate case.
Aslan Berkan
Zech Gabriele
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