An Introduction to Error Analysis, third edition

The study of uncertainties in physical measurements
3. Auflage 2022
ISBN: 978-1-940380-08-7
Verlag: Scion Publishing Ltd - IPSUK

Buch, Englisch, 380 Seiten, Format (B × H): 174 mm x 255 mm, Gewicht: 702 g

Reihe: University Science Books

This remarkable text by John R. Taylor has been a non-stop best-selling international hit since it was first published forty years ago. However, the two-plus decades since the second edition was released have seen two dramatic developments; the huge rise in popularity of Bayesian statistics, and the continued increase in the power and availability of computers and calculators. In response to the former, Taylor has added a full chapter dedicated to Bayesian thinking, introducing conditional probabilities and Bayes’ theorem. The several examples presented in the new third edition are intentionally very simple, designed to give readers a clear understanding of what Bayesian statistics is all about as their first step on a journey to become practicing Bayesians. In response to the second development, Taylor has added a number of chapter-ending problems that will encourage readers to learn how to solve problems using computers. While many of these can be solved using programs such as Matlab or Mathematica, almost all of them are stated to apply to commonly available spreadsheet programs like Microsoft Excel. These programs provide a convenient way to record and process data and to calculate quantities like standard deviations, correlation coefficients, and normal distributions; they also have the wonderful ability – if students construct their own spreadsheets and avoid the temptation to use built-in functions – to teach the meaning of these concepts.

Autoren/Hrsg.

Taylor, John R

Inhaltsverzeichnis

PART I

1. Preliminary Description of Error Analysis

2. How to Report and Use Uncertainties

3. Propagation of Uncertainties

4. Statistical Analysis of Random Uncertainties

5. The Normal Distribution

PART II

6. Rejection of Data

7. Weighted Averages

8. Least-Squares Fitting

9. Covariance and Correlation

10. The Binomial Distribution

11. The Poisson Distribution

12. The Chi-Squared Test for a Distribution

13. Bayesian Statistics

APPENDICES

A. Normal Error Integral, I

B. Normal Error Integral, II

C. Probabilities for Correlation Coefficients

D. Probabilities for Chi Squared

E. Two Proofs Concerning Sample Standard Deviations

Answers to Quick Checks and Odd-Numbered Problems

Index