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Reference Guide
rf109_chi2residpull.C
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1/// \file
2/// \ingroup tutorial_roofit
3/// \notebook -js
4///
5/// Basic functionality: Calculating chi^2 from histograms and curves in RooPlots, making
6/// histogram of residual and pull distributions
7///
8/// \macro_image
9/// \macro_output
10/// \macro_code
11///
12/// \date 07/2008
13/// \author Wouter Verkerke
14
15#include "RooRealVar.h"
16#include "RooDataSet.h"
17#include "RooGaussian.h"
18#include "RooConstVar.h"
19#include "TCanvas.h"
20#include "TAxis.h"
21#include "RooPlot.h"
22#include "RooHist.h"
23using namespace RooFit;
24
25void rf109_chi2residpull()
26{
27
28 // S e t u p m o d e l
29 // ---------------------
30
31 // Create observables
32 RooRealVar x("x", "x", -10, 10);
33
34 // Create Gaussian
35 RooRealVar sigma("sigma", "sigma", 3, 0.1, 10);
36 RooRealVar mean("mean", "mean", 0, -10, 10);
37 RooGaussian gauss("gauss", "gauss", x, RooConst(0), sigma);
38
39 // Generate a sample of 1000 events with sigma=3
40 RooDataSet *data = gauss.generate(x, 10000);
41
42 // Change sigma to 3.15
43 sigma = 3.15;
44
45 // P l o t d a t a a n d s l i g h t l y d i s t o r t e d m o d e l
46 // ---------------------------------------------------------------------------
47
48 // Overlay projection of gauss with sigma=3.15 on data with sigma=3.0
49 RooPlot *frame1 = x.frame(Title("Data with distorted Gaussian pdf"), Bins(40));
50 data->plotOn(frame1, DataError(RooAbsData::SumW2));
51 gauss.plotOn(frame1);
52
53 // C a l c u l a t e c h i ^ 2
54 // ------------------------------
55
56 // Show the chi^2 of the curve w.r.t. the histogram
57 // If multiple curves or datasets live in the frame you can specify
58 // the name of the relevant curve and/or dataset in chiSquare()
59 cout << "chi^2 = " << frame1->chiSquare() << endl;
60
61 // S h o w r e s i d u a l a n d p u l l d i s t s
62 // -------------------------------------------------------
63
64 // Construct a histogram with the residuals of the data w.r.t. the curve
65 RooHist *hresid = frame1->residHist();
66
67 // Construct a histogram with the pulls of the data w.r.t the curve
68 RooHist *hpull = frame1->pullHist();
69
70 // Create a new frame to draw the residual distribution and add the distribution to the frame
71 RooPlot *frame2 = x.frame(Title("Residual Distribution"));
72 frame2->addPlotable(hresid, "P");
73
74 // Create a new frame to draw the pull distribution and add the distribution to the frame
75 RooPlot *frame3 = x.frame(Title("Pull Distribution"));
76 frame3->addPlotable(hpull, "P");
77
78 TCanvas *c = new TCanvas("rf109_chi2residpull", "rf109_chi2residpull", 900, 300);
79 c->Divide(3);
80 c->cd(1);
81 gPad->SetLeftMargin(0.15);
82 frame1->GetYaxis()->SetTitleOffset(1.6);
83 frame1->Draw();
84 c->cd(2);
85 gPad->SetLeftMargin(0.15);
86 frame2->GetYaxis()->SetTitleOffset(1.6);
87 frame2->Draw();
88 c->cd(3);
89 gPad->SetLeftMargin(0.15);
90 frame3->GetYaxis()->SetTitleOffset(1.6);
91 frame3->Draw();
92}
#define c(i)
Definition: RSha256.hxx:101
#define gPad
Definition: TVirtualPad.h:287
virtual RooPlot * plotOn(RooPlot *frame, const RooCmdArg &arg1=RooCmdArg::none(), const RooCmdArg &arg2=RooCmdArg::none(), const RooCmdArg &arg3=RooCmdArg::none(), const RooCmdArg &arg4=RooCmdArg::none(), const RooCmdArg &arg5=RooCmdArg::none(), const RooCmdArg &arg6=RooCmdArg::none(), const RooCmdArg &arg7=RooCmdArg::none(), const RooCmdArg &arg8=RooCmdArg::none()) const
Calls RooPlot* plotOn(RooPlot* frame, const RooLinkedList& cmdList) const ;.
Definition: RooAbsData.cxx:546
RooDataSet is a container class to hold unbinned data.
Definition: RooDataSet.h:33
Plain Gaussian p.d.f.
Definition: RooGaussian.h:25
A RooHist is a graphical representation of binned data based on the TGraphAsymmErrors class.
Definition: RooHist.h:27
A RooPlot is a plot frame and a container for graphics objects within that frame.
Definition: RooPlot.h:44
RooHist * residHist(const char *histname=0, const char *pdfname=0, bool normalize=false, bool useAverage=kFALSE) const
Return a RooHist containing the residuals of histogram 'histname' with respect to curve 'curvename'.
Definition: RooPlot.cxx:1157
Double_t chiSquare(int nFitParam=0) const
Shortcut for RooPlot::chiSquare(const char* pdfname, const char* histname, int nFitParam=0)
Definition: RooPlot.h:176
TAxis * GetYaxis() const
Definition: RooPlot.cxx:1277
RooHist * pullHist(const char *histname=0, const char *pdfname=0, bool useAverage=false) const
Uses residHist() and sets normalize=true.
Definition: RooPlot.h:181
void addPlotable(RooPlotable *plotable, Option_t *drawOptions="", Bool_t invisible=kFALSE, Bool_t refreshNorm=kFALSE)
Add the specified plotable object to our plot.
Definition: RooPlot.cxx:591
virtual void Draw(Option_t *options=0)
Draw this plot and all of the elements it contains.
Definition: RooPlot.cxx:712
RooRealVar represents a variable that can be changed from the outside.
Definition: RooRealVar.h:35
virtual void SetTitleOffset(Float_t offset=1)
Set distance between the axis and the axis title.
Definition: TAttAxis.cxx:294
The Canvas class.
Definition: TCanvas.h:27
RooConstVar & RooConst(Double_t val)
RooCmdArg Bins(Int_t nbin)
RooCmdArg DataError(Int_t)
const Double_t sigma
Double_t x[n]
Definition: legend1.C:17
The namespace RooFit contains mostly switches that change the behaviour of functions of PDFs (or othe...
static constexpr double gauss
const char * Title
Definition: TXMLSetup.cxx:67