Contributions to Mathematical Psychology, Psychometrics, and Methodology

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.

I: Perception, Learning, and Cognition.- 1. Metrics in Color Spaces: Im Kleinen und im Großen.- 2. Color Similarity Represented as a Metric of Color Space.- 3. The Gravity Lens Illusion and its Mathematical Model.- 4. Analysis of a Model for Source Monitoring.- 5. Feature Representations in Connectionist Systems.- 6. Finite Markov Learning Models for Knowledge Structures.- 7. Stochastic Learning Paths — Estimation and Simulation.- 8. Knowledge Spaces and Skill Assignments.- 9. Construction of Knowledge Spaces for Problem Solving in Chess.- 10. The Construction of Knowledge Spaces by Querying Experts.- 11. Integrating Different Knowledge Spaces.- 12. Abstract Decomposition of Spelling Errors.- II: Choice and Reaction Time.- 13. From Binary Choices to Random Utility Representations.- 14. Collective Choice Probabilities.- 15. Random Walk Models of Digit Comparison: Some Problems and a Solution.- 16. A Diffusion Model for Intersensory Facilitation of Reaction Time.- III: Social Systems.- 17. Cooperation in Heterogeneous Populations.- IV: Measurement and Psychometrics.- 18. An Axiomatization for Bilinear Models.- 19. On Item Parameter Estimation in Certain Latent Trait Models.- 20. The Uniqueness Structure of Simple Latent Trait Models.- 21. Some LBTL and LLTM Relationships.- 22. Optimum Design in Item Response Theory: Test Assembly and Item Calibration.- 23. Parameters of the Latent Distribution in Rasch’s Poisson Counts Model.- V: Methodology.- 24. On Connecting Network Analysis and Cluster Analysis.- 25. Single Case Studies: The Time Series vs. the Smoothing Regression Approach.- 26. Effects of Collapsing Data from Crossover Designs.- 27. Natural Sampling: Rationality without Base Rates.- 28. A Dichotomization Method for Boolean Analysis of Quantifiable Co-OccurenceData.- Author Index.