Guttman Algebras and a Model Checking Procedure for Guttman Scales

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In Michał Zawidzki & Joanna Golińska-Pilarek (eds.), Ewa Orłowska on Relational Methods in Logic and Computer Science. Cham, Switzerland: Springer Verlag (2018)
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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.

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10.1007/978-3-319-97879-6_14

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