Invariant ordering of item-total regressions
Invariant ordering of item-total regressions
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
double monotonicity Mokken model, invariant item ordering, invariant ordering of item-total regressions, Kendall’s W, manifest invariant item ordering, nonparametric item response theory
217-227
Tijmstra, Jesper
99554796-5398-4d3b-9e4a-155a2b36f14f
Hessen, David J.
5e4ddabd-0df6-48e4-8c6e-478e2f1940ec
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
Sijtsma, Klaas
81829e5f-1844-4f8a-9333-b0d889b949cc
2011
Tijmstra, Jesper
99554796-5398-4d3b-9e4a-155a2b36f14f
Hessen, David J.
5e4ddabd-0df6-48e4-8c6e-478e2f1940ec
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
Sijtsma, Klaas
81829e5f-1844-4f8a-9333-b0d889b949cc
Tijmstra, Jesper, Hessen, David J., van der Heijden, Peter G.M. and Sijtsma, Klaas
(2011)
Invariant ordering of item-total regressions.
Psychometrika, 76 (2), .
(doi:10.1007/s11336-011-9201-0).
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
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Published date: 2011
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
Organisations:
Statistical Sciences Research Institute
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Local EPrints ID: 344659
URI: http://eprints.soton.ac.uk/id/eprint/344659
ISSN: 0033-3123
PURE UUID: d3279461-d5d3-44f9-80b9-747f99752c5e
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Date deposited: 07 Nov 2012 15:14
Last modified: 15 Mar 2024 03:46
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Author:
Jesper Tijmstra
Author:
David J. Hessen
Author:
Klaas Sijtsma
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