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Reference Guide
rf803_mcstudy_addons2.C File Reference

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View in nbviewer Open in SWAN Validation and MC studies: RooMCStudy - Using the randomizer and profile likelihood add-on models

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RooFit v3.60 -- Developed by Wouter Verkerke and David Kirkby
Copyright (C) 2000-2013 NIKHEF, University of California & Stanford University
All rights reserved, please read http://roofit.sourceforge.net/license.txt
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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.
#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooConstVar.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;
void rf803_mcstudy_addons2()
{
// 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(kTRUE),
// 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", -40, -40);
TH1 *z_vs_ngen = mcs->fitParDataSet().createHistogram("ngen,significance_nullhypo_nsig", -40, -40);
TH1 *errnsig_vs_ngen = mcs->fitParDataSet().createHistogram("ngen,nsigerr", -40, -40);
TH1 *errnsig_vs_nsig = mcs->fitParDataSet().createHistogram("nsig,nsigerr", -40, -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);
}
Author
07/2008 - Wouter Verkerke

Definition in file rf803_mcstudy_addons2.C.