English

Degrees of Equivalence in a Key Comparison

Other Statistics 2011-12-14 v2

Abstract

In an interlaboratory key comparison, a data analysis procedure for this comparison was proposed and recommended by CIPM [1, 2, 3], therein the degrees of equivalence of measurement standards of the laboratories participated in the comparison and the ones between each two laboratories were introduced but a corresponding clear and plausible measurement model was not given. Authors in [4] offered possible measurement models for a given comparison and a suitable model was selected out after rigorous analyzing steps for expectation values of these degrees of equivalence. The systematic laboratory-effects model was then selected as a right one in this report. Those models were all based on the one true value existence assumption. However in the year 2008, a new version of the Vocabulary for International Metrology (VIM) [7] was issued where the true value of a given measurement standard should be now perceived as multi true values which following a given statistics distribution. Applying this perception of true values of a measurement standard with combination of the steps in [4], measurement models have been developed and degrees of equivalence have been analyzed. The results show that although with new definition, the systematic laboratory-effects model is still the reasonable one in a given key comparison.

Keywords

Cite

@article{arxiv.1012.1069,
  title  = {Degrees of Equivalence in a Key Comparison},
  author = {Thang H. Le and Nguyen D. Do},
  journal= {arXiv preprint arXiv:1012.1069},
  year   = {2011}
}

Comments

multiple true values, key comparison

R2 v1 2026-06-21T16:53:49.869Z