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Item Response Theory Models for Person Dependence in Paired Samples

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Quantitative Psychology Research

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 167))

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Abstract

When paired samples (e.g., spouses, couples, twins, or siblings) are surveyed, the item responses of the paired samples may be locally dependent between the paired persons because the investigated latent traits often involve a relationship between the paired persons (e.g., marriage satisfaction). Standard item response theory (IRT) models fail to consider the dependence between paired persons and thus are not applicable. In this study, we developed new IRT models to account for person dependence and conducted simulation studies to evaluate the parameter recovery of the new models and the consequences for parameter estimation and test reliability when the dependence was ignored. Results showed that the parameters of the new models were recovered well with the freeware WinBUGS. Fitting the new models to data without the person dependence did little harm to parameter estimation, but ignoring the person dependence by fitting standard IRT models yielded a shrunken scale and underestimated test reliability. We provided an empirical example of marital satisfaction to demonstrate the implications and applications of the new models.

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Author information

Authors and Affiliations

  1. Assessment Research Centre, The Hong Kong Institute of Education, Tai Po, Hong Kong

    Kuan-Yu Jin

  2. The Hong Kong Institute of Education, Tai Po, Hong Kong

    Wen-Chung Wang

Authors
  1. Kuan-Yu Jin
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  2. Wen-Chung Wang
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Corresponding author

Correspondence to Kuan-Yu Jin .

Editor information

Editors and Affiliations

  1. University of Amsterdam, Amsterdam, The Netherlands

    L. Andries van der Ark

  2. University of Wisconsin, Madison, Wisconsin, USA

    Daniel M. Bolt

  3. Education University of Hong Kong, Hong Kong, China

    Wen-Chung Wang

  4. University of Illinois, Champaign, Illinois, USA

    Jeffrey A. Douglas

  5. Umeå University, Umeå, Sweden

    Marie Wiberg

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© 2016 Springer International Publishing Switzerland

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Jin, KY., Wang, WC. (2016). Item Response Theory Models for Person Dependence in Paired Samples. In: van der Ark, L., Bolt, D., Wang, WC., Douglas, J., Wiberg, M. (eds) Quantitative Psychology Research. Springer Proceedings in Mathematics & Statistics, vol 167. Springer, Cham. https://doi.org/10.1007/978-3-319-38759-8_9

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