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Linear and Nonlinear Indices of Score Accuracy and Item Effectiveness for Measures That Contain Locally Dependent Items

Title: Linear and Nonlinear Indices of Score Accuracy and Item Effectiveness for Measures That Contain Locally Dependent Items
Language: English
Authors: Pere J. Ferrando (ORCID 0000-0002-3133-5466); David Navarro-González; Fabia Morales-Vives (ORCID 0000-0002-2095-0244)
Source: Educational and Psychological Measurement. 2025 85(1):60-81.
Availability: SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: https://sagepub.com
Peer Reviewed: Y
Page Count: 22
Publication Date: 2025
Document Type: Journal Articles; Reports - Research
Education Level: High Schools; Secondary Education
Descriptors: Scores; Accuracy; Evaluation Methods; Factor Analysis; Correlation; Item Analysis; Programming Languages; Family Involvement; Questionnaires; High School Students; Efficiency; Personality Measures; Sampling; Error of Measurement; Goodness of Fit; Reliability
DOI: 10.1177/00131644241257602
ISSN: 0013-1644; 1552-3888
Abstract: 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.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1457455
Database: ERIC