Journal
JOURNAL OF INSTRUMENTATION
Volume 5, Issue -, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1748-0221/5/09/P09004
Keywords
Analysis and statistical methods; Data processing methods
Categories
Funding
- STFC [ST/H000992/1]
- STFC [ST/H000992/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/H000992/1] Funding Source: researchfish
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Multivariate analyses play an important role in high energy physics. Such analyses often involve performing an unbinned maximum likelihood fit of a probability density function (p.d.f.) to the data. This paper explores a variety of unbinned methods for determining the goodness of fit of the p.d.f. to the data. The application and performance of each method is discussed in the context of a real-life high energy physics analysis (a Dalitz-plot analysis). Several of the methods presented in this paper can also be used for the non-parametric determination of whether two samples originate from the same parent p.d.f. This can be used, e.g., to determine the quality of a detector Monte Carlo simulation without the need for a parametric expression of the efficiency.
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