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Mathematical Psychology: Current Developments

✍ Scribed by John M. Miyamoto (auth.), Jean-Paul Doignon Ph.D., Jean-Claude Falmagne Ph.D. (eds.)


Publisher
Springer-Verlag New York
Year
1991
Tongue
English
Leaves
441
Series
Recent Research in Psychology
Edition
1
Category
Library

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✦ Synopsis


Sometime in the late sixties, one of the editors of this volume realized that the mathematica psychologists in Europe-an odd lot mostly concentrated in Germany, the Netherlands, France, England and Belgium-were suffering from an acute sense of isolation. The papers that they presented at meetings of their national or regional societies had to be 'sanitized' to the point of misrepresentation. They were misunderstood. The mood was grim, depression was lurking. He decided that urgent action was required: a European gathering of mathematical psychologists was called in April 1971. Not being foolhardy, however, he took the precaution of choosing Paris as the meeting place. Around thirty mathematical psychologists received an invitation. They all came, justifying at least Paris's reputation. The meeting took place at the 'Maison des Belges' of the Cite Universitaire, Boulevard Jourdan, in front of the Parc Montsouris. As far as everyone remembers, the meeting was a full success. A happy birth had taken place. This editor then irresponsibly accepted a position in a university in the US, leaving an infant to the whims of the passers-by. Fortunately, a godfather came along. The next meeting took place in Nijmegen, in November 1971, under the loving care of Eddy Roskam. A tradition was established. The third meeting was in Oxford (1972); then in Marseilles (1973), Regensburg (1974), Stirling (1975), Stockholm (1976) . . . The infant became a toddler, then a vigorous child. This annual meeting is now an important event in the field.

✦ Table of Contents


Front Matter....Pages i-ix
Front Matter....Pages 1-1
Ordinal Independence and Functional Equations in the Theory of Psychological Difference....Pages 3-33
The Principle of Invariance with Special Reference to Perception....Pages 35-53
Scalar Invariance in Opponent Colour Theory and the β€˜Discounting the Background’ Principle....Pages 55-69
Additive Representations of Preferences, A New Foundation of Decision Analysis; The Algebraic Approach....Pages 71-87
Bisector Spaces: Geometry for Triadic Data....Pages 89-105
Front Matter....Pages 107-107
On the Interpretation of Strict Utility Choice Models....Pages 109-125
Belief Functions, Convex Capacities, and Decision Making....Pages 127-134
Probabilistic Measurement Theory....Pages 135-155
Circularity in Conjoint Paired Comparisons....Pages 157-180
Random Utility Representations of Binary Choice Probabilities....Pages 181-201
Connectionist Models of Decision Making....Pages 203-210
Uniqueness in Attribute Weighting and in Representation of Qualitative Probabilities....Pages 211-218
Front Matter....Pages 219-219
Constructing Knowledge Spaces from Judgements with Differing Degrees of Certainty....Pages 221-231
Knowledge Representation of Spatial Relations....Pages 233-249
A Rasch Model for the Speed-Accuracy Tradeoff In Time limited Tests....Pages 251-271
Testing Finite State Models of Performance in Objective Tests Using Items with β€˜None of the Above’ as an Option....Pages 273-291
On Power Series Models and the Specifically Objective Assessment of Change in Event Frequencies....Pages 293-310
Front Matter....Pages 311-311
Statistical Inference for Multinomial Processing Tree Models....Pages 313-335
Comparison Between Stochastic Models for Visual Selection....Pages 337-356
Conflicting Strategies in Dual Control Problems with Different Goals....Pages 357-375
Front Matter....Pages 311-311
A Feature Model for Unfolding and Experimental Results....Pages 377-387
A Response Time Theory of Perceptual Independence....Pages 389-413
A General Adaptive Filter Model For Human Associative Memory....Pages 415-436
Back Matter....Pages 437-453

✦ Subjects


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


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