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Ewa Orłowska on Relational Methods in Logic and Computer Science pp 355–370Cite as

Guttman Algebras and a Model Checking Procedure for Guttman Scales

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Part of the book series: Outstanding Contributions to Logic ((OCTR,volume 17))

Abstract

We consider Guttman scales both from an algebraic and a statistical point of view. We present a duality between a class of algebras and Guttman scalable response structures, and show that the index of reproducibility is not always a reliable indicator for the Guttman scalability of a data set. Furthermore, we present a model checking procedure, and close with an example.

Dedicated to our friend and esteemed colleague Ewa Orłowska, with gratitude for a long lasting and fruitful cooperation

The ordering of authors is alphabetical and equal authorship is implied.

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Acknowledgements

We should like to express our gratitude to the anonymous referees for careful reading and useful suggestions.

Author information

Authors and Affiliations

  1. Brock University, St. Catherines, ON, Canada, L2S 3A1

    Ivo Düntsch

  2. Institut für Evaluation und Marktanalysen, Brinkstr. 19, 49143, Jeggen, Germany

    Günther Gediga

Authors
  1. Ivo Düntsch
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  2. Günther Gediga
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Corresponding author

Correspondence to Ivo Düntsch .

Editor information

Editors and Affiliations

  1. Institute of Philosophy, University of Warsaw, Warsaw, Poland

    Joanna Golińska-Pilarek

  2. Department of Logic and Methodology of Science, University of Lodz, Łódź, Poland

    Michał Zawidzki

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Düntsch, I., Gediga, G. (2018). Guttman Algebras and a Model Checking Procedure for Guttman Scales. In: Golińska-Pilarek, J., Zawidzki, M. (eds) Ewa Orłowska on Relational Methods in Logic and Computer Science. Outstanding Contributions to Logic, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-319-97879-6_14

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