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rf803_mcstudy_addons2.C File Reference

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Validation and MC studies: RooMCStudy - Using the randomizer and profile likelihood add-on models

#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooChebychev.h"
#include "RooAddPdf.h"
#include "RooMCStudy.h"
#include "RooPlot.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "TH1.h"
#include "TDirectory.h"
using namespace RooFit;
{
// C r e a t e m o d e l
// -----------------------
// Simulation of signal and background of top quark decaying into
// 3 jets with background
// Observable
RooRealVar mjjj("mjjj", "m(3jet) (GeV)", 100, 85., 350.);
// Signal component (Gaussian)
RooRealVar mtop("mtop", "m(top)", 162);
RooRealVar wtop("wtop", "m(top) resolution", 15.2);
RooGaussian sig("sig", "top signal", mjjj, mtop, wtop);
// Background component (Chebychev)
RooRealVar c0("c0", "Chebychev coefficient 0", -0.846, -1., 1.);
RooRealVar c1("c1", "Chebychev coefficient 1", 0.112, -1., 1.);
RooRealVar c2("c2", "Chebychev coefficient 2", 0.076, -1., 1.);
RooChebychev bkg("bkg", "combinatorial background", mjjj, RooArgList(c0, c1, c2));
// Composite model
RooRealVar nsig("nsig", "number of signal events", 53, 0, 1e3);
RooRealVar nbkg("nbkg", "number of background events", 103, 0, 5e3);
RooAddPdf model("model", "model", RooArgList(sig, bkg), RooArgList(nsig, nbkg));
// C r e a t e m a n a g e r
// ---------------------------
// Configure manager to perform binned extended likelihood fits (Binned(),Extended()) on data generated
// with a Poisson fluctuation on Nobs (Extended())
RooMCStudy *mcs = new RooMCStudy(model, mjjj, Binned(), Silence(), Extended(true),
FitOptions(Extended(true), PrintEvalErrors(-1)));
// C u s t o m i z e m a n a g e r
// ---------------------------------
// Add module that randomizes the summed value of nsig+nbkg
// sampling from a uniform distribution between 0 and 1000
//
// In general one can randomize a single parameter, or a
// sum of N parameters, using either a uniform or a Gaussian
// distribution. Multiple randomization can be executed
// by a single randomizer module
randModule.sampleSumUniform(RooArgSet(nsig, nbkg), 50, 500);
mcs->addModule(randModule);
// Add profile likelihood calculation of significance. Redo each
// fit while keeping parameter nsig fixed to zero. For each toy,
// the difference in -log(L) of both fits is stored, as well
// a simple significance interpretation of the delta(-logL)
// using Dnll = 0.5 sigma^2
RooDLLSignificanceMCSModule sigModule(nsig, 0);
mcs->addModule(sigModule);
// R u n m a n a g e r , m a k e p l o t s
// ---------------------------------------------
// Run 1000 experiments. This configuration will generate a fair number
// of (harmless) MINUIT warnings due to the instability of the Chebychev polynomial fit
// at low statistics.
mcs->generateAndFit(500);
// Make some plots
TH1 *dll_vs_ngen = mcs->fitParDataSet().createHistogram("ngen,dll_nullhypo_nsig", AutoBinning(40), AutoBinning(40));
TH1 *z_vs_ngen = mcs->fitParDataSet().createHistogram("ngen,significance_nullhypo_nsig", AutoBinning(40), AutoBinning(40));
TH1 *errnsig_vs_ngen = mcs->fitParDataSet().createHistogram("ngen,nsigerr", AutoBinning(40), AutoBinning(40));
TH1 *errnsig_vs_nsig = mcs->fitParDataSet().createHistogram("nsig,nsigerr", AutoBinning(40), AutoBinning(40));
// Draw plots on canvas
TCanvas *c = new TCanvas("rf803_mcstudy_addons2", "rf802_mcstudy_addons2", 800, 800);
c->Divide(2, 2);
c->cd(1);
gPad->SetLeftMargin(0.15);
dll_vs_ngen->GetYaxis()->SetTitleOffset(1.6);
dll_vs_ngen->Draw("box");
c->cd(2);
gPad->SetLeftMargin(0.15);
z_vs_ngen->GetYaxis()->SetTitleOffset(1.6);
z_vs_ngen->Draw("box");
c->cd(3);
gPad->SetLeftMargin(0.15);
errnsig_vs_ngen->GetYaxis()->SetTitleOffset(1.6);
errnsig_vs_ngen->Draw("box");
c->cd(4);
gPad->SetLeftMargin(0.15);
errnsig_vs_nsig->GetYaxis()->SetTitleOffset(1.6);
errnsig_vs_nsig->Draw("box");
// Make RooMCStudy object available on command line after
// macro finishes
gDirectory->Add(mcs);
}
#define c(i)
Definition RSha256.hxx:101
#define gDirectory
Definition TDirectory.h:384
#define gPad
TH1 * createHistogram(const char *name, const RooAbsRealLValue &xvar, const RooCmdArg &arg1={}, const RooCmdArg &arg2={}, const RooCmdArg &arg3={}, const RooCmdArg &arg4={}, const RooCmdArg &arg5={}, const RooCmdArg &arg6={}, const RooCmdArg &arg7={}, const RooCmdArg &arg8={}) const
Calls createHistogram(const char *name, const RooAbsRealLValue& xvar, const RooLinkedList& argList) c...
Efficient implementation of a sum of PDFs of the form.
Definition RooAddPdf.h:33
RooArgList is a container object that can hold multiple RooAbsArg objects.
Definition RooArgList.h:22
RooArgSet is a container object that can hold multiple RooAbsArg objects.
Definition RooArgSet.h:24
Chebychev polynomial p.d.f.
Add-on module to RooMCStudy that calculates the significance of a signal by comparing the likelihood ...
Plain Gaussian p.d.f.
Definition RooGaussian.h:24
Helper class to facilitate Monte Carlo studies such as 'goodness-of-fit' studies, that involve fittin...
Definition RooMCStudy.h:32
const RooDataSet & fitParDataSet()
Return a RooDataSet containing the post-fit parameters of each toy cycle.
bool generateAndFit(Int_t nSamples, Int_t nEvtPerSample=0, bool keepGenData=false, const char *asciiFilePat=nullptr)
Generate and fit 'nSamples' samples of 'nEvtPerSample' events.
void addModule(RooAbsMCStudyModule &module)
Insert given RooMCStudy add-on module to the processing chain of this MCStudy object.
Add-on module to RooMCStudy that allows you to randomize input generation parameters.
void sampleSumUniform(const RooArgSet &paramSet, double lo, double hi)
Request uniform smearing of sum of parameters in paramSet uniform smearing in range [lo,...
Variable that can be changed from the outside.
Definition RooRealVar.h:37
virtual void SetTitleOffset(Float_t offset=1)
Set distance between the axis and the axis title.
Definition TAttAxis.cxx:298
The Canvas class.
Definition TCanvas.h:23
TH1 is the base class of all histogram classes in ROOT.
Definition TH1.h:59
TAxis * GetYaxis()
Definition TH1.h:326
void Draw(Option_t *option="") override
Draw this histogram with options.
Definition TH1.cxx:3068
return c1
Definition legend1.C:41
return c2
Definition legend2.C:14
The namespace RooFit contains mostly switches that change the behaviour of functions of PDFs (or othe...
Definition CodegenImpl.h:64
[#0] WARNING:InputArguments -- The parameter 'wtop' with range [-inf, inf] of the RooGaussian 'sig' exceeds the safe range of (0, inf). Advise to limit its range.
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[#0] WARNING:Generation -- Fit parameter 'mtop' does not have an error. A pull distribution cannot be generated. This might be caused by the parameter being constant or because the fits were not run.
[#0] WARNING:Generation -- Fit parameter 'wtop' does not have an error. A pull distribution cannot be generated. This might be caused by the parameter being constant or because the fits were not run.
Date
July 2008
Author
Wouter Verkerke

Definition in file rf803_mcstudy_addons2.C.