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Decision Theory Applied to Selecting the Winners, Ranking, and Classification
Author(s) -
Nicholas T. Longford
Publication year - 2016
Publication title -
journal of educational and behavioral statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.066
H-Index - 59
eISSN - 1935-1054
pISSN - 1076-9986
DOI - 10.3102/1076998616644991
Subject(s) - ranking (information retrieval) , computer science , variable (mathematics) , set (abstract data type) , decision theory , value (mathematics) , machine learning , data mining , statistics , mathematics , artificial intelligence , mathematical analysis , programming language
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 decisiontheoretical framework, incorporating the consequences (ramifications) of the various 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 involving retention rates in the undergraduate courses of a university

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