BSI PD ISO/TR 13587:2012
$198.66
Three statistical approaches for the assessment and interpretation of measurement uncertainty
| Published By | Publication Date | Number of Pages |
| BSI | 2012 | 54 |
This Technical Report is concerned with three basic statistical approaches for the evaluation and interpretation of measurement uncertainty: the frequentist approach including bootstrap uncertainty intervals, the Bayesian approach, and fiducial inference. The common feature of these approaches is a clearly delineated probabilistic interpretation or justification for the resulting uncertainty intervals. For each approach, the basic method is described and the fundamental underlying assumptions and the probabilistic interpretation of the resulting uncertainty are discussed. Each of the approaches is illustrated using two examples, including an example from ISO/IEC Guide 98-3 (Uncertainty of measurement — Part 3: Guide to the expression of uncertainty in measurement (GUM:1995)). In addition, this document also includes a discussion of the relationship between the methods proposed in the GUM Supplement 1 and these three statistical approaches.
PDF Catalog
| PDF Pages | PDF Title |
|---|---|
| 9 | 1 Scope 2 Normative references 3 Terms and definitions |
| 10 | 4 Symbols (and abbreviated terms) |
| 11 | 5 The problem addressed |
| 12 | 6 Statistical approaches 6.1 Frequentist approach |
| 13 | 6.2 Bayesian approach 6.3 Fiducial approach |
| 14 | 6.4 Discussion 7 Examples 7.1 General 7.2 Example 1a |
| 15 | 7.3 Example 1b 7.4 Example 1c 8 Frequentist approach to uncertainty evaluation 8.1 Basic method |
| 18 | 8.2 Bootstrap uncertainty intervals |
| 21 | 8.3 Example 1 8.3.1 General |
| 22 | 8.3.2 Example 1a |
| 23 | 8.3.3 Example 1b 8.3.4 Example 1c |
| 24 | 9 Bayesian approach for uncertainty evaluation 9.1 Basic method |
| 26 | 9.2 Example 1 9.2.1 General 9.2.2 Example 1a |
| 28 | 9.2.3 Example 1b |
| 29 | 9.2.4 Example 1c 9.2.5 Summary of example 10 Fiducial inference for uncertainty evaluation 10.1 Basic method |
| 31 | 10.2 Example 1 10.2.1 Example 1a |
| 33 | 10.2.2 Example 1b |
| 34 | 10.2.3 Example 1c 11 Example 2: calibration of a gauge block 11.1 General |
| 36 | 11.2 Frequentist approach |
| 38 | 11.3 Bayesian approach |
| 41 | 11.4 Fiducial approach |
| 43 | 12 Discussion 12.1 Comparison of uncertainty evaluations using the three statistical approaches |
| 46 | 12.2 Relation between the methods proposed in GUM Supplement 1 (GUMS1) and the three statistical approaches |
| 48 | 13 Summary |
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