#!/usr/bin/env python # coding: utf-8 # # rf607_fitresult # Likelihood and minimization: demonstration of options of the RooFitResult class # # # # # **Author:** Clemens Lange, Wouter Verkerke (C++ version) # This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Wednesday, April 17, 2024 at 11:19 AM. # In[1]: from __future__ import print_function import ROOT # Create pdf, data # -------------------------------- # Declare observable x # In[2]: x = ROOT.RooRealVar("x", "x", 0, 10) # Create two Gaussian PDFs g1(x,mean1,sigma) anf g2(x,mean2,sigma) and # their parameters # In[3]: mean = ROOT.RooRealVar("mean", "mean of gaussians", 5, -10, 10) sigma1 = ROOT.RooRealVar("sigma1", "width of gaussians", 0.5, 0.1, 10) sigma2 = ROOT.RooRealVar("sigma2", "width of gaussians", 1, 0.1, 10) sig1 = ROOT.RooGaussian("sig1", "Signal component 1", x, mean, sigma1) sig2 = ROOT.RooGaussian("sig2", "Signal component 2", x, mean, sigma2) # Build Chebychev polynomial pdf # In[4]: a0 = ROOT.RooRealVar("a0", "a0", 0.5, 0.0, 1.0) a1 = ROOT.RooRealVar("a1", "a1", -0.2) bkg = ROOT.RooChebychev("bkg", "Background", x, [a0, a1]) # Sum the signal components into a composite signal pdf # In[5]: sig1frac = ROOT.RooRealVar("sig1frac", "fraction of component 1 in signal", 0.8, 0.0, 1.0) sig = ROOT.RooAddPdf("sig", "Signal", [sig1, sig2], [sig1frac]) # Sum the composite signal and background # In[6]: bkgfrac = ROOT.RooRealVar("bkgfrac", "fraction of background", 0.5, 0.0, 1.0) model = ROOT.RooAddPdf("model", "g1+g2+a", [bkg, sig], [bkgfrac]) # Generate 1000 events # In[7]: data = model.generate({x}, 1000) # Fit pdf to data, save fit result # ------------------------------------------------------------- # Perform fit and save result # In[8]: r = model.fitTo(data, Save=True, PrintLevel=-1) # Print fit results # --------------------------------- # Summary printing: Basic info plus final values of floating fit parameters # In[9]: r.Print() # Verbose printing: Basic info, of constant parameters, and # final values of floating parameters, correlations # In[10]: r.Print("v") # Visualize correlation matrix # ------------------------------------------------------- # Construct 2D color plot of correlation matrix # In[11]: ROOT.gStyle.SetOptStat(0) ROOT.gStyle.SetPalette(1) hcorr = r.correlationHist() # Visualize ellipse corresponding to single correlation matrix element # In[12]: frame = ROOT.RooPlot(sigma1, sig1frac, 0.45, 0.60, 0.65, 0.90) frame.SetTitle("Covariance between sigma1 and sig1frac") r.plotOn(frame, sigma1, sig1frac, "ME12ABHV") # Access fit result information # --------------------------------------------------------- # Access basic information # In[13]: print("EDM = ", r.edm()) print("-log(L) minimum = ", r.minNll()) # Access list of final fit parameter values # In[14]: print("final value of floating parameters") r.floatParsFinal().Print("s") # Access correlation matrix elements # In[15]: print("correlation between sig1frac and a0 is ", r.correlation(sig1frac, a0)) print("correlation between bkgfrac and mean is ", r.correlation("bkgfrac", "mean")) # Extract covariance and correlation matrix as ROOT.TMatrixDSym # In[16]: cor = r.correlationMatrix() cov = r.covarianceMatrix() # Print correlation, matrix # In[17]: print("correlation matrix") cor.Print() print("covariance matrix") cov.Print() # Persist fit result in root file # ------------------------------------------------------------- # Open ROOT file save save result # In[18]: f = ROOT.TFile("rf607_fitresult.root", "RECREATE") r.Write("rf607") f.Close() # In a clean ROOT session retrieve the persisted fit result as follows: # r = gDirectory.Get("rf607") # In[19]: c = ROOT.TCanvas("rf607_fitresult", "rf607_fitresult", 800, 400) c.Divide(2) c.cd(1) ROOT.gPad.SetLeftMargin(0.15) hcorr.GetYaxis().SetTitleOffset(1.4) hcorr.Draw("colz") c.cd(2) ROOT.gPad.SetLeftMargin(0.15) frame.GetYaxis().SetTitleOffset(1.6) frame.Draw() c.SaveAs("rf607_fitresult.png") # Draw all canvases # In[20]: from ROOT import gROOT gROOT.GetListOfCanvases().Draw()