Invariant ordering of item-total regressions


Tijmstra, Jesper, Hessen, David J., van der Heijden, Peter G.M. and Sijtsma, Klaas (2011) Invariant ordering of item-total regressions. Psychometrika, 76, (2), 217-227. (doi:10.1007/s11336-011-9201-0).

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Description/Abstract

A new observable consequence of the property of invariant item ordering is presented, which holds under Mokken’s double monotonicity model for dichotomous data. The observable consequence is an invariant ordering of the item-total regressions. Kendall’s measure of concordance W and a weighted version of this measure are proposed as measures for this property. Karabatsos and Sheu proposed a Bayesian procedure (Appl. Psychol. Meas. 28:110–125, 2004), which can be used to determine whether the property of an invariant ordering of the item-total regressions should be rejected for a set of items. An example is presented to illustrate the application of the procedures to empirical data

Item Type: Article
ISSNs: 0033-3123 (print)
1860-0980 (electronic)
Keywords: double monotonicity Mokken model, invariant item ordering, invariant ordering of item-total regressions, Kendall’s W, manifest invariant item ordering, nonparametric item response theory
Subjects: H Social Sciences > HA Statistics
Divisions: Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute
ePrint ID: 344659
Date Deposited: 07 Nov 2012 15:14
Last Modified: 27 Mar 2014 20:26
URI: http://eprints.soton.ac.uk/id/eprint/344659

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