Hypothesis Test Calculator based on the asymptotic formulae for the profile likelihood ratio.
It performs hypothesis tests using the asymptotic formula for the profile likelihood, and uses the Asimov data set to compute expected significances or limits.
See G. Cowan, K. Cranmer, E. Gross and O. Vitells: Asymptotic formulae for likelihood- based tests of new physics. Eur. Phys. J., C71:1–19, 2011. It provides methods to perform hypothesis tests using the likelihood function, and computes the p-values for the null and the alternate hypothesis using the asymptotic formulae for the profile likelihood ratio described in the given paper.
The calculator provides methods to produce the Asimov dataset, i.e. a dataset generated where the observed values are equal to the expected ones. The Asimov data set is then used to compute the observed asymptotic p-value for the alternate hypothesis and the asymptotic expected p-values.
The asymptotic formulae are valid only for one POI (parameter of interest). So the calculator works only for one-dimensional (one POI) models. If more than one POI exists, only the first one is used.
The calculator can generate Asimov datasets from two kinds of PDFs:
- "Counting" distributions: RooPoisson, RooGaussian, or products of RooPoissons.
- Extended, i.e. number of events can be read off from extended likelihood term.
Definition at line 27 of file AsymptoticCalculator.h.
re-implement HypoTest computation using the asymptotic
It performs an hypothesis tests using the likelihood function and computes the p values for the null and the alternate using the asymptotic formulae for the profile likelihood ratio.
See G. Cowan, K. Cranmer, E. Gross and O. Vitells. Asymptotic formulae for likelihood- based tests of new physics. Eur. Phys. J., C71:1–19, 2011. The formulae are valid only for one POI. If more than one POI exists consider as POI only the first one
Reimplemented from RooStats::HypoTestCalculatorGeneric.
Definition at line 474 of file AsymptoticCalculator.cxx.