Mathematical Psychology in Progress

ISBN-13: 9783540516866 / Angielski / Miękka / 1989 / 385 str.

Edward E. Roskam

Opis

This volume is the third volume of papers originating from the European Mathematical Psychology Group. Earlier volumes were: E. Degreef & J. van Buggenhaut (Eds.), Trends In Mathematical Psychology, Amsterdam, North-Holland Publ. Cy., 1984, and E.E. Roskam & R. Suck (Eds.), Progress in Mathematical Psychology, Amsterdam: Elsevier Science Publ. As the title indicates, this volume presents work in progress, which was reported in one of the recent annual meetings of the European Mathematical Psychology Group. The Group finds it worthwhile to disseminate this work, using a review process which is somewhat less strict, and a publication lag which is shorter, than would be the case for standard international journals. The editor is happy that the meetings of the European Mathematical Psychology Group are regularly attended by colleagues from overseas. Their contributions also appear in this volume, as was the case in earlier volumes. Despite apparent heterogeneity, the reader will observe that European mathemati- cal psychologists have a keen interest in basic issues of mathematical modeling and measurement theory, and that also substantive topics, such as decision making, per- ception, and performance are studied in the context of formal modeling. Also, and per- haps of more than casual importance for future developments, is the fact that theory, experiment, and data analysis go closely together. It should therefore not surprise that psychometric topics, and topics in scaling are represented in this volume, alongside with topics of a more 'purely' mathematical nature.

Spis treści

I — Theory, Metatheory, and Measurement.- Current directions in mathematical learning theory.- Transforming probabilities without violating stochastic dominance.- Formal models and axiomatic measurement.- An axiomatic approach towards testing bilinear attitude models.- The representation of dynamic structures.- Random variables and qualitative probability representations.- Elements of a model-theoretic framework for probabilistic measurement.- II — Choice, Perception, Cognition, and Performance.- Some modified inhibition models for response time series.- Mental processing and distraction.- A procedure for facilitating an expert’s judgements on a set of rules.- A generalized “discounting the background” model extending the traditional Grassmannian approach to colour vision.- Choice basis, a model for multi-attribute preference: some more evidence.- An elementary formal categorization of a corpus of spelling errors.- Rules for parallelprocessing networks with adaptive structure.- III — Psychometrics and Theory of Data.- New results in test theory without an answer key.- Item sampling, guessing, partial information and decision-making in achievement testing.- The linear logistic test model and heterogeneity of cognitive strategies.- Testable conditions for the existence of a qualitative J-scale in unfolding.- Graph theoretical representations of proximities by monotonic network analysis (MONA).- Midpoint sequences, intransitive J scales, and scale values in unidimensional unfolding.- Predicting an optimal threshold in Boolean analysis of questionnaires.- An impossibility theorem for fair bidimensional representation: towards a biproportional solution.- Thresholds and independence in proportional representation.- Author index.