Hello Hubert Beaumont ,

You have probably already found these documents I am about to suggest:

[1] Anonymous; Guide To The Expression Of Uncertainty In Measurement (GUM), 1st Ed.; ISO; 1995; ISBN 92-67-10188-9; 101 pp.

[2] Anonymous; International Vocabulary Of Basic And General Terms In Metrology (VIM), 2 nd Ed.; ISO; 1993; ISBN 92-67-01075-1; 59 p.

[3] Les Kirkup, Bob Frenkel; An Introduction to Uncertainty in Measurement; Cambridge University Press; 2006; xiii + 233 pp.

[4] Fluke Corporation; Calibration: Philosophy in Practice, Second Edition; Fluke Corporation; 1994.

When you say "... how can we also account for the uncertainty associated with the Gold Standard (e.g., reference measurements designed by experts) for the item being measured?" Do you mean that the Gold Standard measurand is the same one you are trying to measure, or are the Gold Standard measurands being used in a formula, along with your measurand, to calculate the final desired parameter and its uncertainty? In other words, are you directly measuring the Gold Standard measurand, or are you indirectly employing Gold Standard measurands together with your own measurand to calculate the final parameter and its uncertainty?

Regards,

Tom Cuff

Thank you very much Tom for your nice answer and these very interesting references.

To clarify a bit.

I designed a Gold Standard in asking experts to measure a set of N tumors. therefore, I obtained the mean value of the Gold Standard and the associated variability of the Gold Standard.

In another hand, I run multiple algorithm to measure the same set of N tumors to obtain an estimate of the mean value of the tumor along the associated variability of these measurements.

My final aims it to compute a transformation (linear) able to transform a measurement (knowing its previously estimated CI) to an estimate of the truth with associated CI.

I hope this helps and thank you again,

Cordially,

Hubert