PD ISO/TR 13587:2012

Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Symbols (and abbreviated terms)
5 The problem addressed
6 Statistical approaches
7 Examples
8 Frequentist approach to uncertainty evaluation
9 Bayesian approach for uncertainty evaluation
10 Fiducial inference for uncertainty evaluation
11 Example 2: calibration of a gauge block
12 Discussion
13 Summary
Bibliography

Describes 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.

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 Guide98-3 (Uncertainty of measurement— Part3: 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.