Effect of Correlations Between Model Parameters and Nuisance Parameters When Model Parameters are Fit to Data

Byron Roe

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arXiv · 1309.6146

Effect of Correlations Between Model Parameters and Nuisance Parameters When Model Parameters are Fit to Data

Byron Roe

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Abstract

The effect of correlations between model parameters and nuisance parameters is discussed, in the context of fitting model parameters to data. Modifications to the usual $χ^2$ method are required. Fake data studies, as used at present, will not be optimum. Problems will occur for applications of the Maltoni-Schwetz \cite{ms} theorem. Neutrino oscillations are used as examples, but the problems discussed here are general ones, which are often not addressed.

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Byron Roe. 2013-09-24. Effect of Correlations Between Model Parameters and Nuisance Parameters When Model Parameters are Fit to Data. https://arxiv.org/abs/1309.6146

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