An Introduction to Uncertainty in Measurement : Using the GUM (Guide to the Expression of Uncertainty in Measurement)

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An Introduction to Uncertainty in Measurement : Using the GUM (Guide to the Expression of Uncertainty in Measurement) / Les Kirkup, Bob Frenkel, R. B. Frenkel, Robert B. Frenkel, L. Kirkup

資料種別:

電子ブック

出版情報:

Cambridge University Press Online Books
Cambridge : Cambridge University Press, 2006

著者名:

ISBN:

9780521844284 [0521844282]
9780511648328 [0511648324]
9780521605793 [0521605792]

書誌ID:

OB00232116

子書誌情報

フルテキスト

所蔵情報

書誌詳細

その他の標題:

INTRODUCTION TO UNCERTAINTY IN MEASUREMENT : USING THE GUM (GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT)
AN INTRODUCTION TO UNCERTAINTY IN MEASUREMENT
AN INTRODUCTION TO UNCERTAINTY IN MEASUREMENT USING THE GUM
INTRODUCTION TO MEASUREMENT UNCERTAINTY FOR STUDENTS AND PROFESSIONALS

主題:

Physics - General and Others

言語:

英語

目次情報:

Preface

The importance of uncertainty in science and technology / 1：

Measurement fundamentals / 2：

Terms used in measurement / 3：

Introduction to uncertainty in measurement / 4：

Some statistical concepts / 5：

Systematic errors / 6：

Calculation of uncertainties / 7：

Probability density, the Gaussian distribution and the Central Limit Theorem / 8：

Sampling a Gaussian distribution / 9：

The t-distribution, and the Welch-Satterthwaite formula / 10：

Case studies in measurement uncertainty / 11：

Appendices

References

Index

Measurement matters / 1.1：

Review / 1.2：

The system of units of measurement / 2.1：

Scientific and engineering notations / 2.2：

Rounding and significant figures / 2.3：

Another way of expressing proportional uncertainty / 2.4：

Measurement and related terms / 2.5：

Measurement and error / 3.2：

Uncertainty is a parameter that characterises the dispersion of values / 4.2：

Standard deviation as a basic measure of uncertainty / 4.3：

The uncertainty in the estimate of uncertainty / 4.4：

Combining standard uncertainties / 4.5：

Sampling from a population / 4.6：

The least-squares model and least-squares fitting / 5.2：

Covariance and correlation / 5.3：

Systematic error revealed by specific information / 5.4：

Systematic error revealed by changed conditions / 6.2：

The measurand model and propagation of uncertainties from inputs to measurand / 6.3：

Correlated inputs / 7.2：

Probability density, the Gaussian distribution and central limit theorem / 7.3：

Distribution of scores when tossing coins or dice / 8.1：

General properties of probability density / 8.2：

The uniform or rectangular distribution / 8.3：

The Gaussian distribution / 8.4：

Experimentally observed non-Gaussian distributions / 8.5：

The central limit theorem / 8.6：

Sampling the distribution of the mean of a sample of size n, from a Gaussian population / 8.7：

Sampling the distribution of the variance of a sample of size n, from a Gaussian population / 9.2：

Sampling the distribution of the standard deviation of a sample of size n, from a Gaussian population / 9.3：

The t-distribution and Welch-Satterthwaite formula / 9.4：

The coverage interval for a Gaussian distribution / 10.1：

The coverage interval using a t-distribution / 10.2：

The Welch-Satterthwaite formula / 10.3：

Reporting measurement results / 10.4：

Determination of the coefficient of static friction for glass on glass / 11.2：

A crater-formation experiment / 11.3：

Determination of the density of steel / 11.4：

The rate of evaporation of water from an open container / 11.5：

Solutions to exercises / 11.6：

95% Coverage factors, k, as a function of the number of degrees of freedom, v / Appendix B：

Further discussion following from the Welch-Satterthwaite formula / Appendix C：

Preface

The importance of uncertainty in science and technology / 1：

Measurement fundamentals / 2：

Terms used in measurement / 3：

Introduction to uncertainty in measurement / 4：

Some statistical concepts / 5：

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