Testing the statistical compatibility of independent data sets

Details Testing the statistical compatibility of independent data sets Testing the statistical compatibility of independent data sets

2003-04-17

arxiv.org/abs/hep-ph/0304176v2

Phys.Rev. D68 (2003) 033020

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, LaTeX file using RevTEX4, 2 figures and 2 tables included. Minor improvements to the text, one section added. Accept

Scientific paper

10.1103/PhysRevD.68.033020

We discuss a goodness-of-fit method which tests the compatibility between statistically independent data sets. The method gives sensible results even in cases where the chi^2-minima of the individual data sets are very low or when several parameters are fitted to a large number of data points. In particular, it avoids the problem that a possible disagreement between data sets becomes diluted by data points which are insensitive to the crucial parameters. A formal derivation of the probability distribution function for the proposed test statistic is given, based on standard theorems of statistics. The application of the method is illustrated on data from neutrino oscillation experiments, and its complementarity to the standard goodness-of-fit is discussed.

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