Call number:
AWI A15-05-0050
;
16/M 07.0043
Description / Table of Contents:
Preliminary Description of Error Analysis. How to Report and Use Uncertainties. Propagation of Uncertainties. Statistical Analysis of Random Uncertainties. The Normal Distribution. Rejection of Data. Weighted Averages. Least-Squares Fitting. Covariance and Correlation. The Binomial Distribution. The Poisson Distribution. The Chi-Squared Test for a Distribution.
Type of Medium:
Monograph available for loan
Pages:
327 S.
,
graph. Darst.
Edition:
2nd ed.
ISBN:
0935702423
Language:
English
Note:
Contents:
Preface to the Second Edition. -
Preface to the First Edition. -
Part 1. -
1 Preliminary Description of Error Analysis. -
1.1 Errors as Uncertainties. -
1.2 Inevitability of Uncertainty. -
1.3 Importance of Knowing the Uncertainties. -
1.4 More Examples. -
1.5 Estimating Uncertainties When Reading Scales. -
1.6 Estimating Uncertainties in Repeatable Measurements. -
2. How to Report and Use Uncertainties. -
2.1 Best Estimate ± Uncertainty. -
2.2 Significant Figures. -
2.3 Discrepancy. -
2.4 Comparison of Measured and Accepted Values. -
2.5 Comparison of Two Measured Numbers. -
2.6 Checking Relationships with a Graph. -
2.7 Fractional Uncertainties. -
2.8 Significant Figures and Fractional Uncertainties. -
2.9 Multiplying Two Measured Numbers. -
Problems for Chapter 2. -
3. Propagation of Uncertainties. -
3.1 Uncertainties in Direct Measurements. -
3.2 The Square-Root Rule for a Counting Experiment. -
3.3 Sums and Differences; Products and Quotients. -
3.4 Two Important Special Cases. -
3.5 Independent Uncertainties in a Sum. -
3.6 More About Independent Uncertainties. -
3.7 Arbitrary Functions of One Variable. -
3.8 Propagation Step by Step. -
3.9 Examples. -
3.10 A More Complicated Example. -
3.11 General Formula for Error Propagation. -
Problems for Chapter 3. -
4. Statistical Analysis of Random Uncertainties. -
4.1 Random and Systematic Errors. -
4.2 The Mean and Standard Deviation. -
4.3 The Standard Deviation as the Uncertainty in a Single Measurement. -
4.4 The Standard Deviation of the Mean. -
4.5 Examples. -
4.6 Systematic Errors. -
Problems for Chapter. -
5. The Normal Distribution. -
5.1 Histograms and Distributions. -
5.2 Limiting Distributions. -
5.3 The Normal Distribution. -
5.4 The Standard Deviation as 68% Confidence Limit. -
5.5 Justification of the Mean as Best Estimate. -
5.6 Justification of Addition in Quadrature. -
5.7 Standard Deviation of the Mean. -
5.8 Acceptability of a Measured Answer . -
Problems for Chapter 5. -
Part II. -
6. Rejection of Data. -
6.1 The Problem of Rejecting Data. -
6.2 Chauvenet's Criterion. -
6.3 Discussion. -
Problems for Chapter 6. -
7. Weighted Averages. -
7.1 The Problem of Combining Separate Measurements. -
7.2 The Weighted Average. -
7.3 An Example. -
Problems for Chapter 7. -
8. Least-Squares Fitting. -
8.1 Data That Should Fit a Straight Line. -
8.2 Calculation of the Constants A and В. -
8.3 Uncertainty in the Measurements of у. -
8.4 Uncertainty in the Constants A and В. -
8.5 An Example. -
8.6 Least-Squares Fits to Other Curves. -
Problems for Chapter 8. -
9. Covariance and Correlation. -
9.1 Review of Error Propagation. -
9.2 Covariance in Error Propagation. -
9.3 Coefficient of Linear Correlation. -
9.4 Quantitative Significance of r. -
9.5 Examples. -
Problems for Chapter 9. -
10. The Binomial Distribution. -
10.1 Distributions. -
10.2 Probabilities in Dice Throwing. -
10.3 Definition of the Binomial Distribution. -
10.4 Properties of the Binomial Distribution. -
10.5 The Gauss Distribution for Random Errors. -
10.6 Applications; Testing of Hypotheses. -
Problems for Chapter 10. -
11. The Poisson Distribution. -
11.1 Definition of the Poisson Distribution. -
11.2 Properties of the Poisson Distribution. -
11.3 Applications. -
11.4 Subtracting a Background. -
Problems for Chapter 11. -
12. The Chi-Squared Test for a Distribution. -
12.1 Introduction to Chi Squared. -
12.2 General Definition of Chi Squared. -
12.3 Degrees of Freedom and Reduced Chi Squared. -
12.4 Probabilities for Chi Squared. -
12.5 Examples. -
Problems for Chapter 12. -
Appendixes. -
Appendix A. Normal Error Integral, I. -
Appendix B. Normal Error Integral, II. -
Appendix C. Probabilities for Correlation Coefficients. -
Appendix D. Probabilities for Chi Squared. -
Appendix E. Two Proofs Concerning Sample Standard Deviations. -
Bibliography. -
Answers to Quick Checks and Odd-Numbered Problems. -
Index.
Location:
AWI Reading room
Location:
Reading room
Branch Library:
AWI Library
Branch Library:
GFZ Library
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