Mathematical Psychology

1. Measurement Theory.- Ordinal Independence and Functional Equations in the Theory of Psychological Difference.- The Principle of Invariance with Special Reference to Perception.- Scalar Invariance in Opponent Colour Theory and the ‘Discounting the Background’ Principle.- Additive Representation of Preferences, a New Foundation of Decision Analysis; The Algebraic Approach.- Bisector Spaces: Geometry for Triadic Data.- 2. Probabilistic Choice and Decision.- On the Interpretation of Strict Utility Choice Models.- Belief Functions, Convex Capacities, and Decision Making.- Probabilistic Measurement Theory.- Circularity in Conjoint Paired Comparisons.- Random Utility Representations of Binary Choice Probabilities.- Connectionist Models of Decision Making.- Uniqueness in Attribute Weighting and in Representation of Qualitative Probabilities.- 3. Knowledge Representation and Psychometrics.- Constructing Knowledge Spaces from Judgements with Differing Degrees of Certainty.- Knowledge Representation of Spatial Relations.- A Rasch Model for the Speed-Accuracy Tradeoff in Time Limited Tests.- Testing Finite State Models of Performance in Objective Tests Using Items with ‘None of the Above’ as an Option.- On Power Series Models and the Specifically Objective Assessment of Change in Event Frequencies.- 4. Information Processing and Cognitive Modelling.- Statistical Inference for Multinomial Processing Tree Models.- Comparison Between Stochastic Models for Visual Selection.- Conflicting Strategies in Dual Control Problems with Different Goals.- A Feature Model for Unfolding and Experimental Results.- A Response Time Theory of Perceptual Independence.- A General Adaptive Filter Model for Human Associative Memory.- Author Index.