The Sampling Ratio in Multilevel Structural Equation Models: Considerations to Inform Study Design.

Multilevel structural equation modeling (MSEM) allows researchers to model latent factor structures at multiple levels simultaneously by decomposing within- and between-group variation. Yet the extent to which the sampling ratio (i.e., proportion of cases sampled from each group) influences the resu...

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Publicado en:Educational & Psychological Measurement Vol. 82; no. 3; pp. 409 - 444
Autores principales: Kush, Joseph M., Konold, Timothy R., Bradshaw, Catherine P.
Formato: Artículo
Publicado: Sage Publications Inc. Jun2022
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Jun2022
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      pub: Sage Publications Inc.
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        10.1177/00131644211020112
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        atl: The Sampling Ratio in Multilevel Structural Equation Models: Considerations to Inform Study Design.
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        au:
          Kush, Joseph M.
          Konold, Timothy R.
          Bradshaw, Catherine P.
        affil: University of Virginia, Charlottesville, VA, USA
      su:
        Analysis of variance
        Structural equation modeling
        Experimental design
        Effect sizes (Statistics)
        Regression analysis
        Sampling errors
        Factor analysis
        Statistical correlation
        Measurement errors
      sug:
        subj:
          Analysis of variance
          Structural equation modeling
          Experimental design
          Effect sizes (Statistics)
          Regression analysis
          Sampling errors
          Factor analysis
          Statistical correlation
          Measurement errors
      keyword:
        doubly latent
        interchangeability and exchangeability
        multilevel
        sampling and measurement error
        sampling ratio
        structural equation model
        doubly latent
        interchangeability and exchangeability
        multilevel
        sampling and measurement error
        sampling ratio
        structural equation model
      ab: Multilevel structural equation modeling (MSEM) allows researchers to model latent factor structures at multiple levels simultaneously by decomposing within- and between-group variation. Yet the extent to which the sampling ratio (i.e., proportion of cases sampled from each group) influences the results of MSEM models remains unknown. This article explores how variation in the sampling ratio in MSEM affects the measurement of Level 2 (L2) latent constructs. Specifically, we investigated whether the sampling ratio is related to bias and variability in aggregated L2 construct measurement and estimation in the context of doubly latent MSEM models utilizing a two-step Monte Carlo simulation study. Findings suggest that while lower sampling ratios were related to increased bias, standard errors, and root mean square error, the overall size of these errors was negligible, making the doubly latent model an appealing choice for researchers. An applied example using empirical survey data is further provided to illustrate the application and interpretation of the model. We conclude by considering the implications of various sampling ratios on the design of MSEM studies, with a particular focus on educational research.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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