This short book is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed, with the necessary concepts introduced where needed, and illustrated graphically. In contrast to traditional treatments a combination of spreadsheet and calculus-based approaches is used. Error analysis is introduced at a level accessible to school leavers, and carried through to research level. The emphasis throughout is on practical strategies to be adopted in the laboratory. Error calculation and propagation is presented though a series of rules-of-thumb, look-up tables and approaches amenable to computer analysis.
1: Errors in the physical sciences 2: Random errors in measurement 3: Uncertainties as probabilities 4: Error propagation 5: Data visualisation and reduction 6: Least-squares fitting of complex functions 7: Computer minimisation and the error matrix 8: Hypothesis testing - how good are our models 9: Topics for further summary
Ifan Hughes took his BSc at Imperial College London, his DPhil at Oxford University, and undertook post-doctoral research at Oxford, Yale and Sussex. He has been at Durham University since 1999, where he is now a Senior Lecturer. Thomas Hase has been an Associate Professor at Warwick University since 2007. Prior to that, he did his BSc, PhD and post-doctoral research at Durham University.
Reviews for Measurements and their Uncertainties: A practical guide to modern error analysis
`With the shift from analytic methods to spreadsheet-based techniques, this book will enable students simultaneously to (a) become fluent in the choice and application of appropriate methods (b) understand the underlying principles. ' David Saxon, University of Glasgow `This is a rather beautiful little book.' David J. Hand, International Statistical Review