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On Linear Combinations of Binary Item Scores

Published online by Cambridge University Press:  01 January 2025

T. Krishnan
T. Krishnan*
Affiliation:
Indian Statistical Institute The University of Western Australia
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Abstract

A method is given for finding a linear combination of binary item scores that minimizes the expected frequency of misclassification, in discriminating between two groups. The item scores are not assumed to be stochastically independent. The method uses the theory of threshold functions, developed by electrical engineers. Since psychometricians may not be familiar with this theory an elementary introduction to the required material is also given.

Type
Original Paper
Information
Psychometrika , Volume 38 , Issue 3 , September 1973 , pp. 291 - 304
Copyright
Copyright © 1973 The Psychometric Society

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