rf305_condcorrprod.C File Reference

Detailed Description

'MULTIDIMENSIONAL MODELS' RooFit tutorial macro #305

Multi-dimensional p.d.f.s with conditional p.d.fs in product

pdf = gauss(x,f(y),sx | y ) * gauss(y,ms,sx) with f(y) = a0 + a1*y

Processing /mnt/build/workspace/root-makedoc-v614/rootspi/rdoc/src/v6-14-00-patches/tutorials/roofit/rf305_condcorrprod.C...

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

[#1] INFO:Plotting -- RooAbsReal::plotOn(model) plot on x integrates over variables (y)
[#1] INFO:NumericIntegration -- RooRealIntegral::init([gaussy_NORM[y]_X_gaussx_NORM[x]]_Int[y]) using numeric integrator RooIntegrator1D to calculate Int(y)
[#1] INFO:Plotting -- RooAbsReal::plotOn(model) plot on y integrates over variables (x)

#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooConstVar.h"
#include "RooPolyVar.h"
#include "RooProdPdf.h"
#include "RooPlot.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "TH1.h"
using namespace RooFit ;



void rf305_condcorrprod()
{
   // C r e a t e   c o n d i t i o n a l   p d f   g x ( x | y ) 
   // -----------------------------------------------------------

   // Create observables
   RooRealVar x("x","x",-5,5) ;
   RooRealVar y("y","y",-5,5) ;

   // Create function f(y) = a0 + a1*y
   RooRealVar a0("a0","a0",-0.5,-5,5) ;
   RooRealVar a1("a1","a1",-0.5,-1,1) ;
   RooPolyVar fy("fy","fy",y,RooArgSet(a0,a1)) ;

   // Create gaussx(x,f(y),sx)
   RooRealVar sigmax("sigma","width of gaussian",0.5) ;
   RooGaussian gaussx("gaussx","Gaussian in x with shifting mean in y",x,fy,sigmax) ;  



   // C r e a t e   p d f   g y ( y ) 
   // -----------------------------------------------------------

   // Create gaussy(y,0,5)
   RooGaussian gaussy("gaussy","Gaussian in y",y,RooConst(0),RooConst(3)) ;



   // C r e a t e   p r o d u c t   g x ( x | y ) * g y ( y )
   // -------------------------------------------------------

   // Create gaussx(x,sx|y) * gaussy(y)
   RooProdPdf model("model","gaussx(x|y)*gaussy(y)",gaussy,Conditional(gaussx,x)) ;



   // S a m p l e ,   f i t   a n d   p l o t   p r o d u c t   p d f
   // ---------------------------------------------------------------

   // Generate 1000 events in x and y from model
   RooDataSet *data = model.generate(RooArgSet(x,y),10000) ;

   // Plot x distribution of data and projection of model on x = Int(dy) model(x,y)
   RooPlot* xframe = x.frame() ;
   data->plotOn(xframe) ;
   model.plotOn(xframe) ; 

   // Plot x distribution of data and projection of model on y = Int(dx) model(x,y)
   RooPlot* yframe = y.frame() ;
   data->plotOn(yframe) ;
   model.plotOn(yframe) ; 

   // Make two-dimensional plot in x vs y
   TH1* hh_model = model.createHistogram("hh_model",x,Binning(50),YVar(y,Binning(50))) ;
   hh_model->SetLineColor(kBlue) ;



   // Make canvas and draw RooPlots
   TCanvas *c = new TCanvas("rf305_condcorrprod","rf05_condcorrprod",1200, 400);
   c->Divide(3);
   c->cd(1) ; gPad->SetLeftMargin(0.15) ; xframe->GetYaxis()->SetTitleOffset(1.6) ; xframe->Draw() ;
   c->cd(2) ; gPad->SetLeftMargin(0.15) ; yframe->GetYaxis()->SetTitleOffset(1.6) ; yframe->Draw() ;
   c->cd(3) ; gPad->SetLeftMargin(0.20) ; hh_model->GetZaxis()->SetTitleOffset(2.5) ; hh_model->Draw("surf") ;

}

Author

07/2008 - Wouter Verkerke

Definition in file rf305_condcorrprod.C.