Measurement and Representation of Sensations offers a glimpse into the most sophisticated current mathematical approaches to psychophysical problems. In this book, editors Hans Colonius and Ehtibar N. Dzhafarov, top scholars in the field, present a broad spectrum of innovative approaches and techniques to classical problems in psychophysics at different levels of stimulus complexity. The chapters emphasize rigorous mathematical constructions to define psychophysical concepts and relate them to observable phenomena. The techniques presented, both deterministic and probabilistic, are all original and recent.
Subjects addressed throughout the six chapters of this volume include:
*computing subjective distances from discriminability;
*a new psychophysical theory of intensity judgments;
*computing subjective distances from two discriminability functions;
*an alternative to the model-building approach based on observable probabilities; and
*possible forms of perceptual separability developed within a generalization of General Recognition Theory.
Measurement and Representation of Sensations is a valuable text for both behavioral scientists and applied mathematicians.
Contents: A.A.J. Marley, Foreword. E.N. Dzhafarov, H. Colonius, Regular Minimality: A Fundamental Law of Discrimination. E.N. Dzhafarov, H. Colonius, Reconstructing Distances Among Objects From Their Discriminability. R.D. Luce, R. Steingrimsson, Global Psychophysical Judgments of Intensity: Summary of a Theory and Experiments. J. Zhang, Referential Duality and Representational Duality in the Scaling of Multidimensional and Infinite-Dimensional Stimulus Space. J.D. Balakrishnan, Objective Analysis of Classification Behavior: Applications to Scaling. J.T. Townsend, J. Aisbett, J. Busemeyer, A. Assadi, General Recognition Theory and Methodology for Dimensional Independence on Simple Cognitive Manifolds.