About reasonable number of rankings in preference profile when measuring quality

Sergey V. Muravyov

Abstract

To plan the quality measuring in the form of consensus relation determination for the given m weak order relations (rankings) it is necessary to know a reasonable number of the rankings. If a ranking is produced by an expert then the number of rankings is equal to number of experts. It is proposed to estimate the expert number using simple probabilistic Bernoulli model, where m experts reveal defects (demerits) of an object. The model assumes that the more the number of an expert group participants, the less the probability of a new defect revealing. Based on this assumption, the probability decrease have been evaluated and graphically presented. The investigations allow to suppose that the number of rankings in preference profile can be from 4 to 10 for typical applications.

Keywords

Quality Measurement; Ordinal Scale Measurement; Number of Weak Orders; Number of Experts

Download

IMEKO-TC14-2007-61.pdf

DOI

-

IMEKO TC

TC14 - Measurement of Geometrical Quantities

Back to the proceedings