Mathematical Psychology in Progress

✍ Scribed by Patrick Suppes (auth.), Edward E. Roskam (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1989
• Tongue: English
• Leaves: 378
• Series: Recent Research in Psychology
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-VIII
Front Matter....Pages 1-1
Current Directions in Mathematical Learning Theory....Pages 3-28
Transforming Probabilities without Violating Stochastic Dominance....Pages 29-47
Formal Models and Axiomatic Measurement....Pages 49-67
An axiomatic approach towards testing bilinear attitude models....Pages 69-75
The Representation of Dynamic Structures....Pages 77-84
Random Variables and Qualitative Probability Representations....Pages 85-98
Elements of a Model-Theoretic Framework for Probabilistic Measurement....Pages 99-112
Front Matter....Pages 113-113
Some Modified Inhibition Models for Response Time series....Pages 115-132
Mental Processing and Distraction....Pages 133-156
A Procedure for Facilitating an Expert’s Judgements on a Set of Rules....Pages 157-170
A Generalized “Discounting the Background” Model Extending the Traditional Grassmannian Approach to Colour Vision....Pages 171-177
Choice Basis, a Model for Multi-attribute Preference: some more Evidence....Pages 179-196
An Elementary Formal Categorization of a Corpus of Spelling Errors....Pages 197-213
Rules for parallelprocessing networks with adaptive structure....Pages 215-226
Front Matter....Pages 227-227
New Results in Test Theory Without an Answer Key....Pages 229-248
Item Sampling, Guessing, Partial Information and Decision-Making in Achievement Testing....Pages 249-265
The Linear Logistic Test Model and heterogeneity of cognitive strategies....Pages 267-287
Testable conditions for the existence of a qualitative J scale in unfolding....Pages 289-298
Graph theoretical representations of proximities by monotonic network analysis (MONA)....Pages 299-308
Midpoint Sequences, Intransitive J Scales and Scale Values in Unidimensional Unfolding....Pages 309-328
Front Matter....Pages 227-227
Predicting an optimal threshold in Boolean analysis of questionnaires....Pages 329-343
An Impossibility Theorem for Fair Bidimensional Representation: Towards a Biproportional Solution....Pages 345-365
Thresholds and Independence in Proportional Representation....Pages 367-373
Back Matter....Pages 375-385

✦ Subjects

Psychology, general; Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law