How To Draw Error Bars On A Graph
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How To Add Error Bars In Origin
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How To Calculate Error Bars In Origin
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and shows the uncertainty in that measurement. In the example shown below (Figure 1) we http://www.schoolphysics.co.uk/age16-19/General/text/Uncertainties_in_graphs/index.html will assume that only quantity A has an uncertainty and that this is +/- 1. For example the reading of A for B = 6 is given as 38.4 but https://root.cern.ch/root/html/tutorials/graphs/gerrors.C.html because of the uncertainty actually lies somewhere between 37.4 and 39.4.The line of gradient m is the best-fit line to the points where the two extremes m1 and m2 how to show the maximum and minimum possible gradients that still lie through the error bars of all the points. The percentage uncertainty in the gradient is given by [m1-m2/m =[Δm/m]x100% In the example m1 = [43.2-30.8]/10 = 1.24 and m2 = [41.7-32.7]/10 = 0.90.The slope of the best fit line (m) = [42.4-31.8]/10 = 1.06In the example the uncertainty is [1.24-0.90]/1.06 how to draw = 32%Alternatively the value of the gradient can be written as 1.06 +/-0.17 If the lines are used to measure an intercept (in this case on the Y (quantity A) axis) then there will be an uncertainty in this value also.For the line of gradient m the intercept is 31.8For the line of gradient m1 it is 30.8 and for the line of gradient m2 it is 32.7.So the value for the intercept could be quoted as 31.8 +/-1.0.If there is an uncertainty in both the quantities A and B then instead of an error bar you would have an error rectangle. The maximum and minimum gradient lines should pass through the error rectangle for each point on the graph (see Figure 2). N.B the comments in this section about uncertainty and errors apply to a curve as well as a straight line graph although of course the gradient of the graph would vary along the curve. A VERSION IN WORD IS AVAILABLE ON THE SCHOOLPHYSICS CD Top of page © Keith Gibbs 2016
//Draw a graph with error bars // To see the output of this macro, click begin_html here. end_html //Author: Rene Brun TCanvas *c1 = new TCanvas("c1","A Simple Graph with error bars",200,10,700,500); c1->SetFillColor(42); c1->SetGrid(); c1->GetFrame()->SetFillColor(21); c1->GetFrame()->SetBorderSize(12); const Int_t n = 10; Float_t x[n] = {-0.22, 0.05, 0.25, 0.35, 0.5, 0.61,0.7,0.85,0.89,0.95}; Float_t y[n] = {1,2.9,5.6,7.4,9,9.6,8.7,6.3,4.5,1}; Float_t ex[n] = {.05,.1,.07,.07,.04,.05,.06,.07,.08,.05}; Float_t ey[n] = {.8,.7,.6,.5,.4,.4,.5,.6,.7,.8}; TGraphErrors *gr = new TGraphErrors(n,x,y,ex,ey); gr->SetTitle("TGraphErrors Example"); gr->SetMarkerColor(4); gr->SetMarkerStyle(21); gr->Draw("ALP"); c1->Update(); } gerrors.C:1gerrors.C:2gerrors.C:3gerrors.C:4gerrors.C:5gerrors.C:6gerrors.C:7gerrors.C:8gerrors.C:9gerrors.C:10gerrors.C:11gerrors.C:12gerrors.C:13gerrors.C:14gerrors.C:15gerrors.C:16gerrors.C:17gerrors.C:18gerrors.C:19gerrors.C:20gerrors.C:21gerrors.C:22gerrors.C:23gerrors.C:24gerrors.C:25gerrors.C:26 » Last changed: 2015-09-08 00:33 » Last generated: 2015-09-08 00:33 This page has been automatically generated. For comments or suggestions regarding the documentation or ROOT in general please send a mail to ROOT support.