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rf609_xychi2fit.C
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1/// \file
2/// \ingroup tutorial_roofit
3/// \notebook -js
4/// Likelihood and minimization: setting up a chi^2 fit to an unbinned dataset with X,Y,err(Y)
5/// values (and optionally err(X) values)
6///
7/// \macro_image
8/// \macro_output
9/// \macro_code
10///
11/// \date July 2008
12/// \author Wouter Verkerke
13
14#include "RooRealVar.h"
15#include "RooDataSet.h"
16#include "RooPolyVar.h"
17#include "TCanvas.h"
18#include "TAxis.h"
19#include "RooPlot.h"
20#include "TRandom.h"
21
22using namespace RooFit;
23
24void rf609_xychi2fit()
25{
26 // C r e a t e d a t a s e t w i t h X a n d Y v a l u e s
27 // -------------------------------------------------------------------
28
29 // Make weighted XY dataset with asymmetric errors stored
30 // The StoreError() argument is essential as it makes
31 // the dataset store the error in addition to the values
32 // of the observables. If errors on one or more observables
33 // are asymmetric, one can store the asymmetric error
34 // using the StoreAsymError() argument
35
36 RooRealVar x("x", "x", -11, 11);
37 RooRealVar y("y", "y", -10, 200);
38 RooDataSet dxy("dxy", "dxy", RooArgSet(x, y), StoreError(RooArgSet(x, y)));
39
40 // Fill an example dataset with X,err(X),Y,err(Y) values
41 for (int i = 0; i <= 10; i++) {
42
43 // Set X value and error
44 x = -10 + 2 * i;
45 x.setError(i < 5 ? 0.5 / 1. : 1.0 / 1.);
46
47 // Set Y value and error
48 y = x.getVal() * x.getVal() + 4 * fabs(gRandom->Gaus());
49 y.setError(sqrt(y.getVal()));
50
51 dxy.add(RooArgSet(x, y));
52 }
53
54 // P e r f o r m c h i 2 f i t t o X + / - d x a n d Y + / - d Y v a l u e s
55 // ---------------------------------------------------------------------------------------
56
57 // Make fit function
58 RooRealVar a("a", "a", 0.0, -10, 10);
59 RooRealVar b("b", "b", 0.0, -100, 100);
60 RooPolyVar f("f", "f", x, RooArgList(b, a, 1.0));
61
62 // Plot dataset in X-Y interpretation
63 RooPlot *frame = x.frame(Title("Chi^2 fit of function set of (X#pmdX,Y#pmdY) values"));
64 dxy.plotOnXY(frame, YVar(y));
65
66 // Fit chi^2 using X and Y errors
67 f.chi2FitTo(dxy, YVar(y));
68
69 // Overlay fitted function
70 f.plotOn(frame);
71
72 // Alternative: fit chi^2 integrating f(x) over ranges defined by X errors, rather
73 // than taking point at center of bin
74 f.chi2FitTo(dxy, YVar(y), Integrate(true));
75
76 // Overlay alternate fit result
77 f.plotOn(frame, LineStyle(kDashed), LineColor(kRed));
78
79 // Draw the plot on a canvas
80 new TCanvas("rf609_xychi2fit", "rf609_xychi2fit", 600, 600);
81 gPad->SetLeftMargin(0.15);
82 frame->GetYaxis()->SetTitleOffset(1.4);
83 frame->Draw();
84}
#define f(i)
Definition: RSha256.hxx:104
@ kRed
Definition: Rtypes.h:66
@ kDashed
Definition: TAttLine.h:48
Option_t Option_t TPoint TPoint const char GetTextMagnitude GetFillStyle GetLineColor GetLineWidth GetMarkerStyle GetTextAlign GetTextColor GetTextSize void char Point_t Rectangle_t WindowAttributes_t Float_t Float_t Float_t b
R__EXTERN TRandom * gRandom
Definition: TRandom.h:62
#define gPad
Definition: TVirtualPad.h:288
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:56
RooDataSet is a container class to hold unbinned data.
Definition: RooDataSet.h:55
A RooPlot is a plot frame and a container for graphics objects within that frame.
Definition: RooPlot.h:43
TAxis * GetYaxis() const
Definition: RooPlot.cxx:1276
void Draw(Option_t *options=nullptr) override
Draw this plot and all of the elements it contains.
Definition: RooPlot.cxx:649
Class RooPolyVar is a RooAbsReal implementing a polynomial in terms of a list of RooAbsReal coefficie...
Definition: RooPolyVar.h:28
RooRealVar represents a variable that can be changed from the outside.
Definition: RooRealVar.h:40
virtual void SetTitleOffset(Float_t offset=1)
Set distance between the axis and the axis title.
Definition: TAttAxis.cxx:301
The Canvas class.
Definition: TCanvas.h:23
virtual Double_t Gaus(Double_t mean=0, Double_t sigma=1)
Samples a random number from the standard Normal (Gaussian) Distribution with the given mean and sigm...
Definition: TRandom.cxx:274
RooCmdArg YVar(const RooAbsRealLValue &var, const RooCmdArg &arg=RooCmdArg::none())
RooCmdArg StoreError(const RooArgSet &aset)
RooCmdArg Integrate(bool flag)
RooCmdArg LineColor(Color_t color)
RooCmdArg LineStyle(Style_t style)
Double_t y[n]
Definition: legend1.C:17
Double_t x[n]
Definition: legend1.C:17
VecExpr< UnaryOp< Sqrt< T >, VecExpr< A, T, D >, T >, T, D > sqrt(const VecExpr< A, T, D > &rhs)
VecExpr< UnaryOp< Fabs< T >, VecExpr< A, T, D >, T >, T, D > fabs(const VecExpr< A, T, D > &rhs)
The namespace RooFit contains mostly switches that change the behaviour of functions of PDFs (or othe...
Definition: Common.h:18
const char * Title
Definition: TXMLSetup.cxx:68
TArc a
Definition: textangle.C:12