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Treating ordinal data: a comparison between rating scale and structural equation models

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  • Silvia Golia

  • Anna Simonetto

Abstract

The aim of this study is to apply rating scale model and structural equation model to the same polytomous data in order to highlight the differences and similarities between the two models. For this purpose a simulation study is developed. Moreover, we present a real case regarding the analysis of the quality of work in an Italian municipality. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • Silvia Golia & Anna Simonetto, 2015. "Treating ordinal data: a comparison between rating scale and structural equation models," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(3), pages 903-915, May.
    • Handle: RePEc:spr:qualqt:v:49:y:2015:i:3:p:903-915
    DOI: 10.1007/s11135-014-0087-7
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    References listed on IDEAS

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    1. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 561-573, December.
    2. Eugenio Brentari & Silvia Golia, 2007. "Unidimensionality in the rasch model: how to detect and interpret," Statistica, Department of Statistics, University of Bologna, vol. 67(3), pages 253-261.
    3. Maurizio Carpita & Silvia Golia, 2012. "Measuring the quality of work: the case of the Italian social cooperatives," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(6), pages 1659-1685, October.
    4. Enrico Ciavolino & Mariangela Nitti, 2013. "Using the Hybrid Two-Step estimation approach for the identification of second-order latent variable models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(3), pages 508-526.
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