A test for using the sum score to obtain a stochastic ordering of subjects

For many psychological test applications, the simple sum score across the items is used to make inferences about subjects. However, most of the item response theory models for psychological test data do not support such usage of the sum score. A simple test is proposed to assess whether the sum scor...

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Bibliographic Details
Published inJournal of multivariate analysis Vol. 133; pp. 136 - 139
Main Author Ligtvoet, R.
Format Journal Article
LanguageEnglish
Published New York Elsevier Inc 01.01.2015
Taylor & Francis LLC
Subjects
Estimating techniques
Item response theory
Psychological tests
Quantitative psychology
Stochastic models
Stochastic ordering
Studies
Totally positive of the order 2
62G30
Stochastic ordering
62G10
Totally positive of the order 2
Item response theory
Online AccessGet full text
ISSN0047-259X
1095-7243
DOI10.1016/j.jmva.2014.09.003

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Summary:For many psychological test applications, the simple sum score across the items is used to make inferences about subjects. However, most of the item response theory models for psychological test data do not support such usage of the sum score. A simple test is proposed to assess whether the sum score can be used to obtain a stochastic ordering of subjects. This test is based on general (nonparametric) conditions and requires only the estimation of the unconstrained proportions.
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ISSN:0047-259X
1095-7243
DOI:10.1016/j.jmva.2014.09.003