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| Preface | |
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| The importance of uncertainty in science and technology | |
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| Measurement matters | |
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| Review | |
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| Measurement fundamentals | |
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| The system of units of measurement | |
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| Scientific and engineering notations | |
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| Rounding and significant figures | |
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| Another way of expressing proportional uncertainty | |
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| Review | |
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| Terms used in measurement | |
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| Measurement and related terms | |
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| Review | |
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| Introduction to uncertainty in measurement | |
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| Measurement and error | |
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| Uncertainty is a parameter that characterises the dispersion of values | |
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| Standard deviation as a basic measure of uncertainty | |
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| The uncertainty in the estimate of uncertainty | |
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| Combining standard uncertainties | |
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| Review | |
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| Some statistical concepts | |
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| Sampling from a population | |
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| The least-squares model and least-squares fitting | |
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| Covariance and correlation | |
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| Review | |
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| Systematic errors | |
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| Systematic error revealed by specific information | |
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| Systematic error revealed by changed conditions | |
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| Review | |
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| Calculation of uncertainties | |
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| The measurand model and propagation of uncertainties from inputs to measurand | |
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| Correlated inputs | |
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| Review | |
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| Probability density, the Gaussian distribution and central limit theorem | |
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| Distribution of scores when tossing coins or dice | |
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| General properties of probability density | |
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| The uniform or rectangular distribution | |
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| The Gaussian distribution | |
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| Experimentally observed non-Gaussian distributions | |
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| The central limit theorem | |
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| Review | |
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| Sampling a Gaussian distribution | |
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| Sampling the distribution of the mean of a sample of size n, from a Gaussian population | |
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| Sampling the distribution of the variance of a sample of size n, from a Gaussian population | |
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| Sampling the distribution of the standard deviation of a sample of size n, from a Gaussian population | |
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| Review | |
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| The t-distribution and Welch-Satterthwaite formula | |
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| The coverage interval for a Gaussian distribution | |
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| The coverage interval using a t-distribution | |
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| The Welch-Satterthwaite formula | |
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| Review | |
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| Case studies in measurement uncertainty | |
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| Reporting measurement results | |
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| Determination of the coefficient of static friction for glass on glass | |
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| A crater-formation experiment | |
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| Determination of the density of steel | |
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| The rate of evaporation of water from an open container | |
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| Review | |
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| Solutions to exercises | |
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| 95% Coverage factors, k, as a function of the number of degrees of freedom, v | |
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| Further discussion following from the Welch-Satterthwaite formula | |
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| References | |
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| Index | |