caa a22 4500 605466203 CHVBK 20210128100306.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00769-015-1111-x doi (NATIONALLICENCE)springer-10.1007/s00769-015-1111-x Huang Hening Teledyne RD Instruments, 14020 Stowe Drive, 92064, Poway, CA, USA aut Optimal estimator for uncertainty-based measurement quality control [Elektronische Daten] [Hening Huang] This paper presents an optimal estimator for uncertainty-based measurement quality control. The optimal estimator is developed based on an acceptance probability approach under a risk balance criterion. It yields a balance between the false acceptance and false rejection when the measurement quality index is equal to unity. This paper also presents a minimum mean absolute percentage error (MAPE) estimator and a minimum mean squared percentage error estimator based on the frequentist decision-theoretic approach. The mathematical formulations for computing the MAPE, relative bias error (RBE), relative precision error (RPE), and root mean squared percentage error (RMSPE) of the three presented estimators and five existing estimators are derived. The performance of these estimators are compared and evaluated in terms of the false acceptance/rejection probability, MAPE, RBE, RPE, and RMSPE. Among the eight estimators considered, the presented optimal estimator is the most meaningful and the best estimator from the measurement quality control perspective. Springer-Verlag Berlin Heidelberg, 2015 Measurement quality control nationallicence Small samples nationallicence Uncertainty nationallicence Uncertainty estimator nationallicence Accreditation and Quality Assurance Springer Berlin Heidelberg 20/2(2015-04-01), 97-106 0949-1775 20:2<97 2015 20 769 https://doi.org/10.1007/s00769-015-1111-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00769-015-1111-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Huang Hening Teledyne RD Instruments, 14020 Stowe Drive, 92064, Poway, CA, USA aut NATIONALLICENCE 773 0- Accreditation and Quality Assurance Springer Berlin Heidelberg 20/2(2015-04-01), 97-106 0949-1775 20:2<97 2015 20 769