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

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 resid...

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Publicado en:Educational & Psychological Measurement Vol. 85; no. 1; pp. 60 - 82
Autores principales: Ferrando, Pere J., Navarro-González, David, Morales-Vives, Fabia
Formato: Artículo
Publicado: Sage Publications Inc. Feb2025
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Feb2025
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      pub: Sage Publications Inc.
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        atl: Linear and Nonlinear Indices of Score Accuracy and Item Effectiveness for Measures That Contain Locally Dependent Items.
      aug:
        au:
          Ferrando, Pere J.
          Navarro-González, David
          Morales-Vives, Fabia
        affil:
          Research Center for Behavior Assessment, Universitat Rovira i Virgili, Tarragona, Spain
          Universitat de Lleida, Spain
      su:
        Reliability (Personality trait)
        Chaos theory
        Statistical models
        Research methodology evaluation
        Factor analysis
        Predictive validity
        Sampling errors
      sug:
        subj:
          Reliability (Personality trait)
          Chaos theory
          Statistical models
          Research methodology evaluation
          Factor analysis
          Predictive validity
          Sampling errors
      keyword:
        correlated residuals
        linear and nonlinear factor analysis
        local dependencies
        omega reliability coefficient
        personality measurement
        relative efficiency
        sum scores
        correlated residuals
        linear and nonlinear factor analysis
        local dependencies
        omega reliability coefficient
        personality measurement
        relative efficiency
        sum scores
      ab: 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.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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