Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 1

Lecture 23

Introduction to Error Analysis

Experimental Nuclear Physics PHYS 741

heeger@wisc.edu

References and Figures from:- Bevington “Data Reduction and Error Analysis”

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Combining Experiments

2

from PDG

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Historical Perspective

3

from PDG

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Accuracy and Precision

4

a) precise but inaccurate datab) accurate but imprecise data

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Histogram of Measurements

5

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Mean, Median, Mode

6

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Binomial Distribution

7

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Binomial Distribution

8

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Histogram of Counts & Poisson Distribution

9

- Poission distribution is an estimate of the parent distribution- based on measured mean- shown as continuous curve although function is only defined at discrete points

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Histogram of Counts & Poisson Distribution

10

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Gaussian/Normal Distribution

11

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin

Lorentzian and Gaussian Distribution

12

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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 14

Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 15

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Experimental Nuclear Physics - PHYS741Karsten Heeger, Univ. Wisconsin 17