Contributions to mathematical psychology, psychometrics, and methodology ; [the present volume, summarizing research presented at the 22nd EMPG Meeting in Vienna, Austria, September 9th to 12th, 1991

Contributions to Mathematical Psychology, Psycho§ metrics and Methodology presents the most esteemed research findings of the 22nd European Mathematical Psychology Group meeting in Vienna, Austria, September 1991. The selection of work appearing in this volume contains not only contributions to mathematical psychology in the narrow sense, but also work in psychometrics and methodology, with the common element of all contributions being their attempt to deal with scientific problems in psychology with rigorous mathematics reasoning. The book contains 28 chapters divided into five parts: Perception, Learning, and Cognition; Choice and Reaction Time; Social Systems; Measurement and Psychometrics; and Methodology. It is of interest to all mathematical psychologists, educational psychologists, and graduate students in these areas. Front Matter....Pages i-ix Front Matter....Pages 1-1 Metrics in Color Spaces: Im Kleinen und im Großen....Pages 3-17 Color Similarity Represented as a Metric of Color Space....Pages 19-37 The Gravity Lens Illusion and its Mathematical Model....Pages 39-50 Analysis of a Model for Source Monitoring....Pages 51-65 Feature Representations in Connectionist Systems....Pages 67-74 Finite Markov Learning Models for Knowledge Structures....Pages 75-89 Stochastic Learning Paths — Estimation and Simulation....Pages 91-110 Knowledge Spaces and Skill Assignments....Pages 111-121 Construction of Knowledge Spaces for Problem Solving in Chess....Pages 123-135 The Construction of Knowledge Spaces by Querying Experts....Pages 137-147 Integrating Different Knowledge Spaces....Pages 149-158 Abstract Decomposition of Spelling Errors....Pages 159-169 Front Matter....Pages 171-171 From Binary Choices to Random Utility Representations....Pages 173-184 Collective Choice Probabilities....Pages 185-194 Random Walk Models of Digit Comparison: Some Problems and a Solution....Pages 195-205 A Diffusion Model For Intersensory Facilitation of Reaction Time....Pages 207-220 Front Matter....Pages 221-221 Cooperation in Heterogeneous Populations....Pages 223-235 Front Matter....Pages 237-237 An Axiomatization for Bilinear Models....Pages 239-247 On Item Parameter Estimation in Certain Latent Trait Models....Pages 249-263 The Uniqueness Structure of Simple Latent Trait Models....Pages 265-275 Front Matter....Pages 237-237 Some LBTL and LLTM Relationships....Pages 277-303 Optimum Design in Item Response Theory: Test Assembly and Item Calibration....Pages 305-318 Parameters of the Latent Distribution in Rasch’s Poisson Counts Model....Pages 319-326 Front Matter....Pages 327-327 On Connecting Network Analysis and Cluster Analysis....Pages 329-344 Single Case Studies: The Time Series vs. the Smoothing Regression Approach....Pages 345-357 Effects of Collapsing Data from Crossover Designs....Pages 359-374 Natural Sampling: Rationality without Base Rates....Pages 375-388 A Dichotomization Method for Boolean Analysis of Quantifiable Co-Occurrence Data....Pages 389-402 Back Matter....Pages 403-421