PREFACE xi UNIT 1 Introduction and Overview 3 1-1. Course Coverage 3 1-2. Purpose 3 1-3. Audience and Prerequisites 4 1-4. Study Material 4 1-5. Organization and Sequence 5 1-6. Course Objectives/Learning Objectives 5 1-7. Course Length 6 1-8.
Additional Study/Computational Aids 6 UNIT 2 Fundamentals of Measurement Uncertainty Analysis 11 2-1. The Purpose of Engineering, Experimental, or Test Measurements 11 2-2. Measurement Error Definition 13 2-3. Summary 36 2-4. References 36 2-5. Exercises 38 UNIT 3 The Measurement Uncertainty Model 43 3-1. The Statement of Measurement Uncertainty 43 3-2. Grouping and Categorizing Error Sources 44 3-3.
The Calculation of Measurement Uncertainty (Symmetrical Systematic Uncertainties) 47 3-4. The Uncertainty Statement (Symmetrical Systematic Standard Uncertainties) 53 3-5. Computing the Uncertainty Interval (Symmetrical Systematic Uncertainty) 57 3-6. The Calculation of Measurement Uncertainty (Nonsymmetrical Standard Systematic Uncertainties) 59 3-7. Common Uncertainty Model Summary 64 3-8. Detailed Experiment--Temperature--Without any Uncertainty Propagation 67 3-9. Summary 71 3-10. References 71 3-11.
Exercises 73 UNIT 4 How To Do It Summary 77 4-1. Review of Nomenclature 77 4-2. How To Do It Summary 79 4-3. Calculation of Random Standard Uncertainties 79 4-4. Obtaining and Combining Systematic Standard Uncertainties 84 4-5. Nonsymmetrical Systematic Standard Uncertainties 90 4-6. Step-by-Step Instructions 91 4-7. Treatment of Calibration Errors (Uncertainties) 94 4-8.
Simplified Uncertainty Analysis for Calibrations 96 4-9. Interplay of Random and Systematic Effects on an Uncertainty Analysis 108 4-10. Business Decisions and the Impact of Measurement Uncertainty 112 4-11. The Timing of an Uncertainty Analysis 116 4-12. Conclusion 120 4-13. References 120 4-14. Exercises 120 UNIT 5 Uncertainty (Error) Propagation 129 5-1. General Considerations 129 5-2.
The Need for Uncertainty Propagation 130 5-3. Theoretical Considerations: Methods for Uncertainty Propagation 131 5-4. Uncertainty Propagation Examples 145 5-5. Detailed Equation for Uncertainty Propagation 162 5-6. Uncertainty of Results Derived from X-Y Plots 162 5-7. Class Experiment--Weighing--Requiring Uncertainty Propagation 166 5-8. Summary 172 5-9. References 173 5-10.
Exercises 174 UNIT 6 Weighting Method for Multiple Results 181 6-1. The Purpose of Multiple Measurements of the Same Test Result 181 6-2. Fundamentals of Weighting by Uncertainty 181 6-3. References 189 6-4. Exercises 189 UNIT 7 Applied Considerations 193 7-1. General Considerations 193 7-2. Choice of Error (and Uncertainty) Units 194 7-3. Treatment of Outliers 196 7-4.
Curve Fitting 199 7-5. Correlation Coefficients: Their Use and Misuse 210 7-6. Tests for Normality, Probability Plots 212 7-7. Sampling Error 217 7-8. Selecting Instrumentation Based on Vendor Uncertainty Statements 222 7-9. References 224 7-10. Exercises 225 UNIT 8 Presentation of Results 231 8-1. General Considerations 231 8-2.
Presentation Content 232 8-3. Illustration 232 8-4. Summary 236 APPENDIX A. Suggested Reading and Study Materials 239 APPENDIX B. Glossary 245 APPENDIX C. Nomenclature 253 APPENDIX D. Student''s t for 95% Confidence 261 APPENDIX E. 5% Significant Thompson''s 265 APPENDIX F.
Areas Under the Normal Curve 269 APPENDIX G. Pressure Instrumentation Selection Example 273 APPENDIX H. Alternate Measurement Uncertainty Analysis Approach 287 APPENDIX I. Key Words and Phrases in Uncertainty Analysis 291 APPENDIX J. Prime Equations for Standard Uncertainty Analysis 297 APPENDIX K. Condensed Measurement Uncertainty 305 APPENDIX L. Discussion of the Advantages and Disadvantages of the Basic, the ISO, and the ASME Uncertainty Models 323 APPENDIX M. Solutions to All Exercises 341 APPENDIX N.
359 INDEX 367.