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Implications of Dimensionality on Measurement Reliability

In: Statistical Inference, Econometric Analysis and Matrix Algebra

Author

Listed:
  • Kimmo Vehkalahti

    (University of Helsinki, Department of Mathematics and Statistics)

  • Simo Puntanen

    (University of Tampere, Department of Mathematics and Statistics)

  • Lauri Tarkkonen

    (University of Helsinki, Department of Mathematics and Statistics)

Abstract

We study some topics of the reliability of measurement, especially certain implications of multidimensionality and unidimensionality. We consider these aspects within a measurement framework focusing on one hand on the dimensionality of the measurement model and on the other hand on the dimensionality of the measurement scale. Working through theorems and examples we compare two reliability estimators, namely Cronbach's alpha and Tarkkonen's rho. It seems that there is not much use for Cronbach's alpha. It is based on unidimensional models and scales, while the models and scales used in practice are multidimensional. Tarkko-nen's rho seems to work well in multidimensional studies, giving support to the real purpose of reliability estimation which seems to have been lost for a quite long time.

Suggested Citation

  • Kimmo Vehkalahti & Simo Puntanen & Lauri Tarkkonen, 2009. "Implications of Dimensionality on Measurement Reliability," Springer Books, in: Bernhard Schipp & Walter Kräer (ed.), Statistical Inference, Econometric Analysis and Matrix Algebra, pages 143-160, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-2121-5_10
    DOI: 10.1007/978-3-7908-2121-5_10
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