Mathematical Psychology in Progress

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. R

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Springer-Verlag Geschaftsbibliothek - Heidelberg

Edward E. Roskam (Ed.)

MatheITlatical Psychology in Progress

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong

Editor

Edward E. Roskam University of Nijmegen, Department of Psychology P.O. Box 9104, 6500 HE Nijmegen, The Netherlands

ISBN-13 :978-3-540-51686-6 e- ISBN-13 :978-3-642-83943-6 DOl: 10.1007/978-3-642-83943-6 This work is subject to copyright. All rights are reserved, whether the whole or part ofthe material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9,1965, in its version of June 24,1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1989

2126/3140-543210 - Printed on acid-free paper

Preface 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 mathematical psychologists have a keen interest in basic issues of mathematical modeling and measurement theory, and that also substantive topics, such as decision making, perception, and performance are studied in the context of formal modeling. Also, and perhaps 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. The present collection of papers is partitioned into three groups: first: Theory, Metatheory, and Measurement; secondly: Choice, Perception, Cognition, and Performance; and thirdly: Psychometrics and Theory of Data. For some papers, the allocation to one of these areas may appear arbitrary: this demonstrates how close these main streams are intertwined. The editor wishes to express his gratitude to many friends an