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IRT Approach for rating scales: applications for normal and non-normal distributions

Author

Listed:
  • Maud Dampérat

    (UL2 - Université Lumière - Lyon 2)

  • Ping Lei

    (CERAG - Centre d'études et de recherches appliquées à la gestion - UPMF - Université Pierre Mendès France - Grenoble 2 - CNRS - Centre National de la Recherche Scientifique, INSEEC - Institut des hautes études économiques et commerciales | School of Business and Economics)

  • Florence Jeannot

    (CERAG - Centre d'études et de recherches appliquées à la gestion - UGA - Université Grenoble Alpes, INSEEC - Institut des hautes études économiques et commerciales | School of Business and Economics)

Abstract

In administrative sciences, one of the main challenge is to choose the right items for a measurement scale. The purpose of this article is to provide marketing researchers a detailed description of item response theory (IRT) for rating scales. It details the different stages of IRT using the graded response model (GRM) on two rating scales (need for cognition and satisfaction). IRT approach offers a notable advantage due to its ability to precisely assess the quality and the contribution of each of the items to the latent trait. GRM could be used either as a complement or a substitute to the confirmatory factor analysis (CFA), especially for non-normal distributed scales.

Suggested Citation

  • Maud Dampérat & Ping Lei & Florence Jeannot, 2019. "IRT Approach for rating scales: applications for normal and non-normal distributions," Post-Print hal-04325043, HAL.
    • Handle: RePEc:hal:journl:hal-04325043
    Note: View the original document on HAL open archive server: https://hal.science/hal-04325043
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    File URL: https://hal.science/hal-04325043/document
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    References listed on IDEAS

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    1. Geoff Masters, 1982. "A rasch model for partial credit scoring," Psychometrika, Springer;The Psychometric Society, vol. 47(2), pages 149-174, June.
    2. Klaas Sijtsma & Bas Hemker, 1998. "Nonparametric polytomous IRT models for invariant item ordering, with results for parametric models," Psychometrika, Springer;The Psychometric Society, vol. 63(2), pages 183-200, June.
    3. Martijn G. de Jong & Jan-Benedict E. M. Steenkamp & Bernard P. Veldkamp, 2009. "A Model for the Construction of Country-Specific Yet Internationally Comparable Short-Form Marketing Scales," Marketing Science, INFORMS, vol. 28(4), pages 674-689, 07-08.
    4. Singh, Jagdip, 2004. "Tackling measurement problems with Item Response Theory: Principles, characteristics, and assessment, with an illustrative example," Journal of Business Research, Elsevier, vol. 57(2), pages 184-208, February.
    5. Lee Cronbach, 1951. "Coefficient alpha and the internal structure of tests," Psychometrika, Springer;The Psychometric Society, vol. 16(3), pages 297-334, September.
    6. Gordon G. Bechtel, 1985. "Generalizing the Rasch Model for Consumer Rating Scales," Marketing Science, INFORMS, vol. 4(1), pages 62-73.
    7. Leonard Paas & Klaas Sijtsma, 2008. "Nonparametric item response theory for investigating dimensionality of marketing scales: A SERVQUAL application," Marketing Letters, Springer, vol. 19(2), pages 157-170, June.
    Full references (including those not matched with items on IDEAS)

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