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Full Description
The field of mathematical psychology began in the 1950s and includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics motivated by substantive problems in psychology. Central to its success was the publication of the first Handbook of Mathematical Psychology in the 1960s. The psychological sciences have since expanded to include new areas of research, and significant advances have been made both in traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the original Handbook, the New Handbook of Mathematical Psychology reflects the current state of the field by exploring the mathematical and computational foundations of new developments over the last half-century. The third volume provides up-to-date, foundational chapters on early vision, psychophysics and scaling, multisensory integration, learning and memory, cognitive control, approximate Bayesian computation, and encoding models in neuroimaging.
Contents
List of figures; List of tables; List of contributors; Preface: mathematical psychology in a quest for conceptual clarity; 1. Principles and consequences of the initial visual en-coding Brian Wandell and David Brainard; 2. Measuring multisensory integration in selected paradigms Adele Diederich and Hans Colonius; 3. Fechnerian scaling: dissimilarity cumulation theory Ehtibar N. Dzhafarov and Hans Colonius; 4. Mathematical models of human learning F. Gregory Ashby, Matthew J. Crossley, and Jeffrey B. Inglis; 5. Formal models of memory based on temporally-varying representations Marc W. Howard; 6. Statistical decision theory F. Gregory Ashby and Michael J. Wenger; 7. Modeling response inhibition in the stop signal task Hans Colonius and Adele Diederich; 8. Approximate bayesian computation Noah Thomas, Brandon M. Turner and Trisha Van Zandt; 9. Cognitive diagnosis models Jimmy de la Torre and Miguel A. Sorrel; 10. Encoding models in neuroimaging Fabián A. Soto and F. Gregory Ashby; Index.
