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Unidimensionality in the rasch model: how to detect and interpret

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  • Eugenio Brentari
  • Silvia Golia

Abstract

Unidimensionality, or the fact that the items in a questionnaire measure only a single construct, is a fundamental requirement for the Rasch model. The paper deals with the detection of unidimensionality making use of principal components analysis of residuals and item fit statistics. Simulated bi-dimensional data sets are analized in order to find regolarities in the behavoiur of these statistical tools. The results are applied to a real database coming from the satisfaction section of the first national survey concerning the social services sector realized in Italy.

Suggested Citation

  • 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.
    • Handle: RePEc:bot:rivsta:v:67:y:2007:i:3:p:253-261
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    Cited by:

    1. 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.
    2. Mohamed A. Shahat & William J. Boone & Khalsa A. Al-Alawi & Sulaiman M. Al-Balushi, 2024. "Rasch analysis in developing a questionnaire to measure self-efficacy beliefs of Omani preservice science teachers for teaching through engineering design," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-17, December.

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