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An axiomatic approach towards testing bilinear attitude models

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Mathematical Psychology in Progress

Part of the book series: Recent Research in Psychology ((PSYCHOLOGY))

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Abstract

Two basic properties of bilinear models are what may be called “intra-attributive multiplicativity” and “interattributive additivity”. The axiomatic foundations of bilinear models can thus be studied largely in terms of multiplicatiive conjoint measurement with 2 components) and additive conjoint measurement (with n > 3 components). A suitable combination of axioms from both types of conjoint measurement yields necessary conditions for bilinear models. These axioms were tested empirically in a study on attitudes towards some fictitious jobs constructed in accordance with an appropriate factorial design.

This work was supported by grant Or53/1 from Deutsche Forschungsgemeinschaft.

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© 1989 Springer-Verlag Berlin Heidelberg

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Diederich, A., Orth, B. (1989). An axiomatic approach towards testing bilinear attitude models. In: Roskam, E.E. (eds) Mathematical Psychology in Progress. Recent Research in Psychology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83943-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-83943-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51686-6

  • Online ISBN: 978-3-642-83943-6

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