Mathematical Psychology And Psychophysiology

Mathematical Psychology and Psychophysiology promotes an understanding of the mind and its neural substrates by applying interdisciplinary approaches to issues concerning behavior and the brain. The contributions present model from many disciplines that share common, conceptual, functional, or mechanistic substrates and summarize recent models and data from neural networks, mathematical genetics, psychoacoustics, olfactory coding, visual perception, measurement, psychophysics, cognitive development, and other areas. The contributors to Mathematical Psychology and Psychophysiology show the conceptual and mathematical interconnectedness of several approaches to the fundamental scientific problem of understanding mind and brain. The book's interdisciplinary approach permits a deeper understanding of theoretical advances as it formally structures a broad overview of the data.

Handbook of Perception, Volume II: Psychophysical Judgment and Measurement brings together a very large, diverse, and widely scattered literature on human perception, with emphasis on psychophysical judgement and measurement. The book reviews the history of research on choice, judgement, and measurement in order to provide a background for contemporary work. This volume is organized into five sections encompassing 14 chapters and begins with a historical background on psychophysics and the evolution of thinking about the central measurement problem in judgement. The basic psychological context in which choice and judgement occur is considered next, touching on topics such as the problem of information selection and the sources of bias and variability in judgemental processes in relation to memory. The chapters that follow discuss the theoretical frame of measurement models and their applications. In particular, examples of algebraic fundamental measurement, algebraic derived measurement, and probabilistic derived measurement are given. The book also introduces the reader to various psychophysical scaling methods and theories of scaling. This book will serve as a basic source and reference work for psychologists and natural scientists, as well as for anyone in the arts or sciences or those who are interested in human perception.

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 in both 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 second volume focuses on areas of mathematics that are used in constructing models of cognitive phenomena and decision making, and on the role of measurement in psychology.

This authoritative volume provides a well balanced and comprehensive treatment of the mathematical theory of human response time and the role it plays in our understanding of the mind's organization.

This volume presents a series of studies that expand laws, invariants, and principles of psychophysics beyond its classical domain of sensation. This book's goal is to demonstrate the extent of the domain of psychophysics, ranging from sensory processes, through sensory memory and short-term memory issues, to the interaction between sensation and action. The dynamics and timing of human performance are a further important issue within this extended framework of psychophysics: Given the similarity of the various cortical areas in terms of their neuroanatomical structure, it is an important question whether this similarity is paralleled by a similarity of processes. These issues are addressed by the contributions in the present volume using state-of-the-art research methods in behavioral research, psychophysiology, and mathematical modeling. The book is divided into four sections. Part I presents contributions concerning the classical domain of psychophysical judgment. The next two parts are concerned with elementary and higher-order processes and the concluding section deals with psychophysical models. The sections are introduced by guest editorials contributed by independent authors. These editorials present the authors' personals view on the respective section, providing an integrated account of the various contributions or highlighting their focus of interest among them. While also voicing their own and sometimes different point of view, they contribute to the process of discussion that makes science so exciting. This volume should be of great interest to advanced students in neuroscience, cognitive science, psychology, neuropsychology, and related areas who seek to evaluate the range and power of psychological work today. Established scientists in those fields will also appreciate the variety of issues addressed within the same methodological framework and their multiple interconnections and stimulating "cross-talk."

This book presents the basic concepts of classical psychophysics, derived from Gustav Fechner, as seen from the perspective of modern measurement theory. The theoretical discussion is elucidated with examples and numerous problems, and solutions to one-quarter of the problems are provided in the text.

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.