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auterman |
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#include <iostream>
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#include <iomanip>
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#include <sstream>
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#include <cstdlib>
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#include <cmath>
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#include <algorithm>
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#ifndef __CINT__
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#include "RooGlobalFunc.h"
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#endif
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#include "RooProfileLL.h"
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#include "RooAbsPdf.h"
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#include "RooStats/HypoTestResult.h"
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#include "RooRealVar.h"
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#include "RooPlot.h"
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#include "RooDataSet.h"
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#include "RooTreeDataStore.h"
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#include "TTree.h"
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#include "TCanvas.h"
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#include "TLine.h"
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#include "TStopwatch.h"
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#include "RooStats/ProfileLikelihoodCalculator.h"
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#include "RooStats/MCMCCalculator.h"
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#include "RooStats/UniformProposal.h"
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#include "RooStats/FeldmanCousins.h"
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#include "RooStats/NumberCountingPdfFactory.h"
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#include "RooStats/ConfInterval.h"
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#include "RooStats/PointSetInterval.h"
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#include "RooStats/LikelihoodInterval.h"
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#include "RooStats/LikelihoodIntervalPlot.h"
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#include "RooStats/RooStatsUtils.h"
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#include "RooStats/ModelConfig.h"
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#include "RooStats/MCMCInterval.h"
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#include "RooStats/MCMCIntervalPlot.h"
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#include "RooStats/ProposalFunction.h"
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#include "RooStats/ProposalHelper.h"
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#include "RooFitResult.h"
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#include <iostream>
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#include <iomanip>
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#include <cmath>
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#include <fstream>
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#include <time.h>
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#include "ConfigFile.h"
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// use this order for safety on library loading
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using namespace RooFit ;
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using namespace RooStats ;
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double simpleProfile2(ConfigFile * config, string Type,
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int dat, double bkg, double bkg_uncertainty, double sig, double
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sig_uncertainty, double xsec, double ExpNsigLimit ) //absolute uncertainties!
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{
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TStopwatch t;
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t.Start();
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/////////////////////////////////////////
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// The Model building stage
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/////////////////////////////////////////
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char * name = new char[1024];
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RooWorkspace* wspace = new RooWorkspace();
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sprintf(name,"Poisson::countingModel(obs[150,0,300],sum(s[%d,0,%d]*ratioSigEff[1.,0,2.],b[100,0,300]*ratioBkgEff[1.,0.,2.]))", (int)ExpNsigLimit,(int)(ExpNsigLimit*2.5));
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wspace->factory(name); // counting model
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//wspace->factory("Gaussian::sigConstraint(1,ratioSigEff,0.257)"); // 5% signal efficiency uncertainty
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//wspace->factory("Gaussian::bkgConstraint(1,ratioBkgEff,0.136)"); // 10% background efficiency uncertainty
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sprintf(name,"Gaussian::sigConstraint(1,ratioSigEff,%f)",sig_uncertainty/sig);
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wspace->factory(name); // 5% signal efficiency uncertainty
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sprintf(name,"Gaussian::bkgConstraint(1,ratioBkgEff,%f)",sig_uncertainty/sig);
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wspace->factory(name); // 10% background efficiency uncertainty
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wspace->factory("PROD::modelWithConstraints(countingModel,sigConstraint,bkgConstraint)"); // product of terms
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wspace->Print();
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RooAbsPdf* modelWithConstraints = wspace->pdf("modelWithConstraints"); // get the model
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RooRealVar* obs = wspace->var("obs"); // get the observable
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RooRealVar* s = wspace->var("s"); // get the signal we care about
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RooRealVar* b = wspace->var("b"); // get the background and set it to a constant. Uncertainty included in ratioBkgEff
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b->setConstant();
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RooRealVar* ratioSigEff = wspace->var("ratioSigEff"); // get uncertaint parameter to constrain
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RooRealVar* ratioBkgEff = wspace->var("ratioBkgEff"); // get uncertaint parameter to constrain
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RooArgSet constrainedParams(*ratioSigEff, *ratioBkgEff); // need to constrain these in the fit (should change default behavior)
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// Create an example dataset with 160 observed events
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obs->setVal(dat);
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b->setVal(bkg);
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s->setVal(sig);
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RooDataSet* data = new RooDataSet("exampleData", "exampleData", RooArgSet(*obs));
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data->add(*obs);
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RooArgSet all(*s, *ratioBkgEff, *ratioSigEff);
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// not necessary
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modelWithConstraints->fitTo(*data, RooFit::Constrain(RooArgSet(*ratioSigEff, *ratioBkgEff)));
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// Now let's make some confidence intervals for s, our parameter of interest
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RooArgSet paramOfInterest(*s);
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ModelConfig modelConfig(new RooWorkspace());
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modelConfig.SetPdf(*modelWithConstraints);
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modelConfig.SetParametersOfInterest(paramOfInterest);
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// First, let's use a Calculator based on the Profile Likelihood Ratio
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//ProfileLikelihoodCalculator plc(*data, *modelWithConstraints, paramOfInterest);
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ProfileLikelihoodCalculator plc(*data, modelConfig);
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plc.SetTestSize(.05);
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ConfInterval* lrint = plc.GetInterval(); // that was easy.
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// Let's make a plot
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TCanvas* dataCanvas = new TCanvas("dataCanvas");
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dataCanvas->Divide(2,2);
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dataCanvas->cd(3);
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// --- Generate a toyMC sample from composite PDF ---
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//RooDataSet *pseudodata = modelWithConstraints->generate(*b,2000) ;
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// --- Perform extended ML fit of composite PDF to toy data ---
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//modelWithConstraints.fitTo(*pseudodata,Extended());
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// don't skip drawing, doesnt work without!!!
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RooPlot* mesframe = b->frame();
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modelWithConstraints->plotOn(mesframe);
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mesframe->Draw();
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dataCanvas->cd(1);
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LikelihoodIntervalPlot plotInt((LikelihoodInterval*)lrint);
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plotInt.SetTitle("Profile Likelihood Ratio and Posterior for S");
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plotInt.Draw();
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// Second, use a Calculator based on the Feldman Cousins technique
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FeldmanCousins fc(*data, modelConfig);
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fc.UseAdaptiveSampling(true);
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fc.FluctuateNumDataEntries(false); // number counting analysis: dataset always has 1 entry with N events observed
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fc.SetNBins(100); // number of points to test per parameter
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fc.SetTestSize(.05);
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// fc.SaveBeltToFile(true); // optional
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ConfInterval* fcint = NULL;
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fcint = fc.GetInterval(); // that was easy.
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RooFitResult* fit = modelWithConstraints->fitTo(*data, Save(true));
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// Third, use a Calculator based on Markov Chain monte carlo
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// Before configuring the calculator, let's make a ProposalFunction
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// that will achieve a high acceptance rate
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ProposalHelper ph;
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ph.SetVariables((RooArgSet&)fit->floatParsFinal());
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ph.SetCovMatrix(fit->covarianceMatrix());
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ph.SetUpdateProposalParameters(true);
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ph.SetCacheSize(100);
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ProposalFunction* pdfProp = ph.GetProposalFunction(); // that was easy
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MCMCCalculator mc(*data, modelConfig);
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mc.SetNumIters(20000); // steps to propose in the chain
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mc.SetTestSize(.05); // 95% CL
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mc.SetNumBurnInSteps(40); // ignore first N steps in chain as "burn in"
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mc.SetProposalFunction(*pdfProp);
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mc.SetLeftSideTailFraction(0.5); // find a "central" interval
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MCMCInterval* mcInt = (MCMCInterval*)mc.GetInterval(); // that was easy
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// Get Lower and Upper limits from Profile Calculator
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double up = ((LikelihoodInterval*) lrint)->UpperLimit(*s);
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cout << Type << ": d:"<<dat<<", b:"<<bkg<<"+-"<<bkg_uncertainty
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<<"; s:"<<sig<<"+-"<<sig_uncertainty <<std::endl;
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cout << "Profile lower limit on s = " << ((LikelihoodInterval*) lrint)->LowerLimit(*s) << endl;
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cout << "Profile upper limit on s = " << up << endl;
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config->add("RooSimpleProfile.signal."+Type+"UpperLimit", up);
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config->add("RooSimpleProfile.xsec."+Type+"UpperLimit", up/sig * xsec);
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// Get Lower and Upper limits from FeldmanCousins with profile construction
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if (fcint != NULL) {
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double fcul = ((PointSetInterval*) fcint)->UpperLimit(*s);
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double fcll = ((PointSetInterval*) fcint)->LowerLimit(*s);
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cout << "FC lower limit on s = " << fcll << endl;
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cout << "FC upper limit on s = " << fcul << endl;
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config->add("RooFC.signal."+Type+"UpperLimit", fcul);
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config->add("RooFC.xsec."+Type+"UpperLimit", fcul/sig * xsec);
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//TLine* fcllLine = new TLine(fcll, 0, fcll, 1);
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//TLine* fculLine = new TLine(fcul, 0, fcul, 1);
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//fcllLine->SetLineColor(kRed);
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//fculLine->SetLineColor(kRed);
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//fcllLine->Draw("same");
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//fculLine->Draw("same");
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dataCanvas->Update();
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}
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/*
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// Plot MCMC interval and print some statistics
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MCMCIntervalPlot mcPlot(*mcInt);
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mcPlot.SetLineColor(kMagenta);
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mcPlot.SetLineWidth(2);
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mcPlot.Draw("same");
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*/
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double mcul = mcInt->UpperLimit(*s);
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double mcll = mcInt->LowerLimit(*s);
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cout << "MCMC lower limit on s = " << mcll << endl;
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cout << "MCMC upper limit on s = " << mcul << endl;
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cout << "MCMC Actual confidence level: "
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<< mcInt->GetActualConfidenceLevel() << endl;
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config->add("RooMCMC.signal."+Type+"UpperLimit", mcul);
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config->add("RooMCMC.xsec."+Type+"UpperLimit", mcul/sig * xsec);
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/*
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// 3-d plot of the parameter points
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dataCanvas->cd(2);
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// also plot the points in the markov chain
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TTree& chain = ((RooTreeDataStore*) mcInt->GetChainAsDataSet()->store())->tree();
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chain.SetMarkerStyle(6);
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chain.SetMarkerColor(kRed);
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chain.Draw("s:ratioSigEff:ratioBkgEff","weight_MarkovChain_local_","box"); // 3-d box proporional to posterior
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// the points used in the profile construction
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TTree& parameterScan = ((RooTreeDataStore*) fc.GetPointsToScan()->store())->tree();
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parameterScan.SetMarkerStyle(24);
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parameterScan.Draw("s:ratioSigEff:ratioBkgEff","","same");
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delete wspace;
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delete lrint;
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delete mcInt;
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delete fcint;
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delete data;
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*/
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/// print timing info
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t.Stop();
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t.Print();
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return up;
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}
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void rooStat(int argc, char *argv[])
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{
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//myPDF();
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//rooStatOrig();
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if (argc<1){
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std::cerr<<"Error: Expected '"<<argv[0]<<" <limit config>'!"<<std::endl;
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exit(1);
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}
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for (int file=1; file<argc; ++file){
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std::cout << "opening: "<<argv[file]<<std::endl;
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ConfigFile config(argv[file]);
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int data = config.read<int>("data");
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double bkg = config.read<double>("background");
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double bkgUncert = config.read<double>("background.uncertainty");
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double sig = config.read<double>("signal");
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double sigUncert = config.read<double>("signal.uncertainty");
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double xsec = config.read<double>("Xsection",1.0);
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double ExpNsigLimit = config.read<double>("ExpNsigLimit",100.0);
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simpleProfile2(&config, "Obs", data, bkg, bkgUncert, sig, sigUncert, xsec, ExpNsigLimit);
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simpleProfile2(&config, "Exp", (int)bkg, bkg, bkgUncert, sig, sigUncert, xsec, ExpNsigLimit);
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//write stuff:
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time_t rawtime;
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struct tm * timeinfo;
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time ( &rawtime );
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timeinfo = localtime ( &rawtime );
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ofstream ofile;
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ofile.open (argv[file]);
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ofile << config.getComment() << asctime (timeinfo)
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<< config.getComment()<< "\n"
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<< config;
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}
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}
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int main(int argc, char *argv[])
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{
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rooStat(argc,argv);
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}
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