2026-04-14T08:37:28Zhttps://recercat.cat/oai/request

oai:recercat.cat:10459.1/4686732025-10-06T18:11:35Zcom_2072_3622col_2072_479130

Linear and Nonlinear Indices of Score Accuracy and Item Effectiveness for Measures That Contain Locally Dependent Items Ferrando, Pere J. Navarro-González, David Morales-Vives, Fabia Sum scores Local dependencies Correlated residuals The problem of local item dependencies (LIDs) is very common in personality and attitude measures, particularly in those that measure narrow-bandwidth dimensions. At the structural level, these dependencies can be modeled by using extended factor analytic (FA) solutions that include correlated residuals. However, the effects that LIDs have on the scores based on these extended solutions have received little attention so far. Here, we propose an approach to simple sum scores, designed to assess the impact of LIDs on the accuracy and effectiveness of the scores derived from extended FA solutions with correlated residuals. The proposal is structured at three levels—(a) total score, (b) bivariate-doublet, and (c) item-by-item deletion—and considers two types of FA models: the standard linear model and the nonlinear model for ordered-categorical item responses. The current proposal is implemented in SINRELEF.LD, an R package available through CRAN. The usefulness of the proposal for item analysis is illustrated with the data of 928 participants who completed the Family Involvement Questionnaire-High School Version (FIQ-HS). The results show not only the distortion that the doublets cause in the omega reliability estimate when local independency is assumed but also the loss of information/efficiency due to the local dependencies. The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the Spanish Ministry of Science and Innovation under grant PID2020-112894GB-I00 and by the Catalan Ministry of Universities, Research and the Information Society under the grant 2021 SGR 00036. The funding source was not involved in any step of the research process, neither in the writing and publication process. 2025 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-112894GB-I00/ES/FREE-FA: UN MODELO EXTENDIDO DE ANALISIS FACTORIAL NO RESTRICTO BASADO EN RESIDUALES LIBRES CON APLICACION AL ANALISIS DE ITEMS EN MEDIDAS DE RENDIMIENTO TIPICO/ Reproducció del document publicat a https://doi.org/10.1177/00131644241257602 Educational and Psychological Measurement, 2025, vol. 85, núm. 1, p. 60-81 cc-by-nc (c) Pere J. Ferrando, David Navarro-González, Fabia Morales-Vives, 2025 Attribution-NonCommercial 4.0 International info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc/4.0/ Sage