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rf203_ranges.py File Reference

Namespaces

namespace  rf203_ranges
 

Detailed Description

View in nbviewer Open in SWAN Addition and convolution: fitting and plotting in sub ranges

from __future__ import print_function
import ROOT
# Set up model
# ---------------------
# Construct observables x
x = ROOT.RooRealVar("x", "x", -10, 10)
# Construct gaussx(x,mx,1)
mx = ROOT.RooRealVar("mx", "mx", 0, -10, 10)
gx = ROOT.RooGaussian("gx", "gx", x, mx, ROOT.RooFit.RooConst(1))
# px = 1 (flat in x)
px = ROOT.RooPolynomial("px", "px", x)
# model = f*gx + (1-f)px
f = ROOT.RooRealVar("f", "f", 0., 1.)
model = ROOT.RooAddPdf(
"model", "model", ROOT.RooArgList(gx, px), ROOT.RooArgList(f))
# Generated 10000 events in (x,y) from pdf model
modelData = model.generate(ROOT.RooArgSet(x), 10000)
# Fit full range
# ---------------------------
# Fit pdf to all data
r_full = model.fitTo(modelData, ROOT.RooFit.Save(ROOT.kTRUE))
# Fit partial range
# ----------------------------------
# Define "signal" range in x as [-3,3]
x.setRange("signal", -3, 3)
# Fit pdf only to data in "signal" range
r_sig = model.fitTo(modelData, ROOT.RooFit.Save(
ROOT.kTRUE), ROOT.RooFit.Range("signal"))
# Plot/print results
# ---------------------------------------
# Make plot frame in x and add data and fitted model
frame = x.frame(ROOT.RooFit.Title("Fitting a sub range"))
modelData.plotOn(frame)
model.plotOn(
frame, ROOT.RooFit.Range("Full"), ROOT.RooFit.LineStyle(
ROOT.kDashed), ROOT.RooFit.LineColor(
ROOT.kRed)) # Add shape in full ranged dashed
model.plotOn(frame) # By default only fitted range is shown
# Print fit results
print("result of fit on all data ")
r_full.Print()
print("result of fit in in signal region (note increased error on signal fraction)")
r_sig.Print()
# Draw frame on canvas
c = ROOT.TCanvas("rf203_ranges", "rf203_ranges", 600, 600)
ROOT.gPad.SetLeftMargin(0.15)
frame.GetYaxis().SetTitleOffset(1.4)
frame.Draw()
c.SaveAs("rf203_ranges.png")
Date
February 2018
Authors
Clemens Lange, Wouter Verkerke (C++ version)

Definition in file rf203_ranges.py.