Author, as appears in the article.: Ferrando PJ; Navarro-González D

Department: Psicologia

e-ISSN: 1552-3888

URV's Author/s: Ferrando Piera, Pere Joan / Navarro González, David

Keywords: Personality measurement Person fluctuation Multidimensional location Multidimensional item response theory Item discrimination Factor analysis

Abstract: © The Author(s) 2021. Item response theory “dual” models (DMs) in which both items and individuals are viewed as sources of differential measurement error so far have been proposed only for unidimensional measures. This article proposes two multidimensional extensions of existing DMs: the M-DTCRM (dual Thurstonian continuous response model), intended for (approximately) continuous responses, and the M-DTGRM (dual Thurstonian graded response model), 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 item response theory parameterizations. Procedures for (a) calibrating the items, (b) scoring individuals, (c) assessing model appropriateness, and (d) assessing measurement precision are finally discussed. The simulation results suggest that the proposal is quite feasible, and an illustrative example based on personality data is also provided. 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 if the existing unidimensional DMs were fitted on a separate-scale basis.

Thematic Areas: Psychology, mathematical Psychology, educational Psychology (miscellaneous) Psychology Psicología Pedagogical & educational research Mathematics, miscellaneous Mathematics, interdisciplinary applications Matemática / probabilidade e estatística Interdisciplinar Education Educació Economia Developmental and educational psychology Ciencias sociales Applied psychology Applied mathematics

licence for use: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 0013-1644

Author's mail: david.navarro@urv.cat perejoan.ferrando@urv.cat

Author identifier: 0000-0002-9843-5058 0000-0002-3133-5466

Record's date: 2023-02-19

Papper version: info:eu-repo/semantics/publishedVersion

Link to the original source: https://journals.sagepub.com/doi/full/10.1177/0013164421998412

Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/

Papper original source: Educational And Psychological Measurement. 81 (0013164421998412): 1029-1053

APA: Ferrando PJ; Navarro-González D (2021). A Multidimensional Item Response Theory Model for Continuous and Graded Responses With Error in Persons and Items. Educational And Psychological Measurement, 81(0013164421998412), 1029-1053. DOI: 10.1177/0013164421998412

Article's DOI: 10.1177/0013164421998412

Entity: Universitat Rovira i Virgili

Journal publication year: 2021

Publication Type: Journal Publications