Decision theory for selecting the winners, ranking and classification
N. T. Longford
Abstract
We address the problem of selecting the best of a set of units
based on a criterion variable, when its value is recorded for every
unit subject to estimation, measurement, or another source of error.
The solution is constructed in a decision-theoretical framework,
incorporating the consequences (ramifications) of the two kinds of error
that can be committed. The related problems of classifying the units
to a small number of groups and ranking them are solved by a similar approach.
An application is presented to the rates of satisfactory outcomes
in the undergraduate courses of a university.
Journal of Educational and Behavioral Statistics 41, 420-442,
2016.
August 2016