ENBIS-17 in Naples

9 – 14 September 2017; Naples (Italy) Abstract submission: 21 November 2016 – 10 May 2017

How to Evaluate Uncertainty of Categorical Measurements?

12 September 2017, 10:10 – 10:30


Submitted by
Emil Bashkansky
Emil Bashkansky (ORT Braude College of Engineering), Tamar Gadrich (ORT Braude College of Engineering)
We show how to interpret sampled measurement results when they belong to a categorical scale. The proposed approach takes into account the sampled nature of observations and observation errors, and combines both with prior information (if it exists) about the studied population. The appropriate mathematical tools are presented, considering all these aspects, and providing an adequate description of the partition of the studied property by categories and its parameters. We demonstrate that the most likely or expected estimators may differ significantly from those observed in the sample, and sometimes-even conflict with the assumed confusion matrix. The technique of determining the conflict-free region is presented, as well as the two-stage procedure of assessment updating, based on the verification of the accordance of the new observed information to the already available one. The main propositions of the paper are supported by numerical examples including acceptance sampling for quality control and others.
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