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Measurement Uncertainty and Probability
Robin Willink
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Últimas novedades física general
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A measurement result is incomplete without a statement of its ’uncertainty’ or ’margin of error’. But what does this statement actually tell us? By examining the practical meaning of probability, this book discusses what is meant by a ’95 percent interval of measurement uncertainty’, and how such an interval can be calculated. The book argues that the concept of an unknown ’target value’ is essential if probability is to be used as a tool for evaluating measurement uncertainty. It uses statistical concepts, such as a conditional confidence interval, to present ’extended’ classical methods for evaluating measurement uncertainty. The use of the Monte Carlo principle for the simulation of experiments is described. Useful for researchers and graduate students, the book also discusses other philosophies relating to the evaluation of measurement uncertainty. It employs clear notation and language to avoid the confusion that exists in this controversial field of science.
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Part I. Principles: 1. Introduction 2. Foundational ideas in measurement 3. Components of error or uncertainty 4. Foundational ideas in probability and statistics 5. The randomization of systematic errors 6. Beyond the standard confidence interval Part II. Evaluation of Uncertainty: 7. Final preparation 8. Evaluation using the linear approximation 9. Evaluation without the linear approximations 10. Uncertainty information fit for purpose Part III. Related Topics: 11. Measurement of vectors and functions 12. Why take part in a measurement comparison? 13. Other philosophies 14. An assessment of objective Bayesian methods 15. A guide to the expression of uncertainty in measurement 16. Measurement near a limit – an insoluble problem? References Index. AuthorRobin Willink Robin Willink is a physicist-turned-statistician, who until recently worked for Applied Mathematics, Industrial Research Ltd, the parent body of the National Metrology Institute of New Zealand. His work on statistical methods for measurement is highly regarded.
This title is available for institutional purchase via Cambridge Books Online Cambridge Books Online offers access to academic eBooks from our world-renowned publishing programme. Related Books An Introduction to Probability and Inductive Logic An Introduction to Uncertainty in Measurement Using the GUM (Guide to the Expression of Uncertainty in Measurement) Weighing the Odds A Course in Probability and Statistics Statistical Foundations of Econometric Modelling Statistical Analysis of Circular Data Quantile Processes with Statistical Applications An Introduction to Probability and Inductive Logic An Introduction to Uncertainty in Measurement Using the GUM (Guide to the Expression of Uncertainty in Measurement) 123456 PreviousNext |
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