Upload
others
View
1
Download
0
Embed Size (px)
Citation preview
Advanced Physics Laboratory PHY 326/327 and PHY 426/427/428/429
Lectures on Error Analysis in Scientific Measurement:
Part 1: The meaning and calculation of uncertainty Part 2: The least-squares method of fitting data
J. H. Thywissen September 12, 2006.
Outline: 1.1 Illegitimate Errors 1.2 Accuracy versus Precision 1.3 Recording Error 1.4 What is meant by statistical uncertainty? 1.5 Error propagation 1.6 Examples of error propagation 1.7 The Normal distribution 1.8 Weighted average & standard deviation of the mean 2.1 Fitting a function to data 2.2 Definition of χ2 2.3 Finding the best fit 2.4 Uncertainty in fit parameters 2.5 Linear and polynomial fit solutions 2.6 Including x uncertainty 2.7 Goodness of fit 2.8 Summary
References: J. R. Taylor, An Introduction to Error Analysis (University Science Books, 1982) P. R. Bevington & D. K. Robinson, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill) J. Orear, Notes on Statistics for Physicists, revised (unpublished, 1982) online: http://nedwww.ipac.caltech.edu/level5/Sept01/Orear/Orear.html
Part 1: The meaning and calculation of uncertainty
Outline: 1.1 Illegitimate Errors 1.2 Accuracy versus Precision 1.3 Recording Error 1.4 What is meant by statistical uncertainty? 1.5 Error propagation 1.6 Examples of error propagation 1.7 The Normal distribution 1.8 Weighted average & standard deviation of the mean
Part 2: The least-squares method of fitting data
Outline: 2.1 Fitting a function to data 2.2 Definition of χ2 2.3 Finding the best fit 2.4 Uncertainty in fit parameters 2.5 Linear and polynomial fit solutions 2.6 Including x uncertainty 2.7 Goodness of fit 2.8 Summary