| Description |
1 online resource (237 p.) |
| Series |
New York Academy of Sciences Ser |
|
New York Academy of Sciences Ser
|
| Contents |
Intro -- Title Page -- Copyright -- Dedication -- Introduction -- Why would you read an introduction? -- What is this book about? -- Who is this book for? -- About maths -- Acknowledgements -- Chapter 1: Why do we need to evaluate errors? -- Chapter 2: Probability distributions -- 2.1 Random variables -- 2.2 What is a probability distribution? -- 2.3 Mean, median, variance and standard deviation -- 2.4 Gaussian distribution -- 2.5 Central limit theorem -- 2.6 Log-normal distribution -- 2.7 Binomial distribution -- 2.8 Poisson distribution -- 2.9 Student's t-distribution -- 2.10 Exercises |
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Notes -- Chapter 3: Measurement errors -- 3.1 Where do errors come from? -- 3.2 Simple model of random measurement errors -- 3.3 Intrinsic variability -- 3.4 Sampling error -- 3.5 Simple measurement errors -- 3.6 Exercises -- Note -- Chapter 4: Statistical estimators -- 4.1 Population and sample -- 4.2 What is a statistical estimator? -- 4.3 Estimator bias -- 4.4 Commonly used statistical estimators -- 4.5 Standard error -- 4.6 Standard error of the weighted mean -- 4.7 Error in the error -- 4.8 Degrees of freedom -- 4.9 Exercises -- Notes -- Chapter 5: Confidence intervals |
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5.1 Sampling distribution -- 5.2 Confidence interval: what does it really mean? -- 5.3 Why 95%? -- 5.4 Confidence interval of the mean -- 5.5 Standard error versus confidence interval -- 5.6 Confidence interval of the median -- 5.7 Confidence interval of the correlation coefficient -- 5.8 Confidence interval of a proportion -- 5.9 Confidence interval for count data -- 5.10 Bootstrapping -- 5.11 Replicates -- 5.12 Exercises -- Notes -- Chapter 6: Error bars -- 6.1 Designing a good plot -- 6.2 Error bars in plots -- 6.3 When can you get away without error bars? -- 6.4 Quoting numbers and errors |
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8.3 Confidence intervals of linear fit parameters -- 8.4 Linear fit prediction errors -- 8.5 Regression through the origin -- 8.6 General curve fitting -- 8.7 Derivation of errors on fit parameters -- 8.8 Exercises -- Notes -- Chapter 9: Worked example -- 9.1 The experiment -- 9.2 Results -- 9.3 Discussion -- 9.4 The final paragraph -- Notes -- Solutions to exercises -- Appendix A -- Bibliography -- Index -- EULA |
| Summary |
6.5 Exercises -- Notes -- Chapter 7: Propagation of errors -- 7.1 What is propagation of errors? -- 7.2 Single variable -- 7.3 Multiple variables -- 7.4 Correlated variables -- 7.5 To use error propagation or not? -- 7.6 Example: distance between two dots -- 7.7 Derivation of the error propagation formula for one variable -- 7.8 Derivation of the error propagation formula for multiple variables -- 7.9 Exercises -- Note -- Chapter 8: Errors in simple linear regression -- 8.1 Linear relation between two variables -- 8.2 Straight line fit |
| Notes |
Description based upon print version of record |
| Genre/Form |
Electronic books
|
| Form |
Electronic book
|
| ISBN |
9781119106890 |
|
1119106893 |
|
