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A multidimensional IRT model for continuous and graded responses with error in persons and items
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posted on 2020-11-13, 19:56 authored by Pere FerrandoPere Ferrando, David Navarro-GonzálezDavid Navarro-GonzálezThis article proposes two
multidimensional extensions of existing DMs: the M-DTCRM, intended for (approximately)
continuous responses, and the M-DTGRM, intended for ordered-categorical responses
(including binary). A rationale for the extension to the
multiple-content-dimensions case, which is based on the concept of the
multidimensional location index, is first proposed and discussed. Then, the
models are described using both the factor-analytic and the IRT
parameterizations. Procedures for (a)
calibrating the items, (b) scoring individuals, (c) assessing model
appropriateness, and (d) assessing measurement precision are finally discussed. The proposals
are submitted to be of particular interest for the case of multidimensional
questionnaires in which the number of items per scale would not be enough for
arriving at stable estimates.
Funding
Ministerio de Ciencia, Innovación y Universidades and the European Regional Development Fund (ERDF) (PSI2017-82307-P).
History
Declaration of conflicts of interest
The authors declare no conflicts of interestCorresponding author email
perejoan.ferrando@urv.catLead author country
- Spain
Lead author institution
Universitat Rovira i VirgiliHuman Participants
- No
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