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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kahneman, D. and Tversky, A. (1979). Prospect theory. An analysis of decision under risk. Econometrica, 47, 263–291.
Kendall, M. (1975). Rank correlation methods. (4th. Ed.) London: Charles Griffin.
Krantz, D.H., Luce, R.D., Suppes, P. and Tversky, A. (1971). Foundations of measurement, Vol. I. New York: Academic Press.
Roskies, R.A. (1965). A measurement axiomatization for an essentially multiplicative representation of two factors. Journal of Mathematical Psychology, 2, 226–276.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive