New Handbook of Mathematical Psychology: Volume 2, Modeling and Measurement

William H. Batchelder, Hans Colonius, Ehtibar N. Dzhafarov

• Publisher: Cambridge University Press
• Year: 2018
• Print ISBN: 9781107029071
• eBook ISBN: 9781108641029
• Topic: Psychology
• Subtopic: Research & Methodology in Psychology
• Index: Psychology

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.

Table of contents

• Cover
• Half-title page
• Title page
• Copyright page
• Contents
• List of contributors
• List of abbreviations
• Preface
• 1 Stochastic Methods for Modeling Decision-making
• 2 The Diffusion Model of Speeded Choice, from a Rational Perspective
• 3 Stochastic Foundations of Elementary Mental Architectures
• 4 Identifiability of Probabilistic Models, with Examples from Knowledge Structure Theory
• 5 Quantum Models of Cognition and Decision
• 6 Computational Cognitive Neuroscience
• 7 Discovering Aggregation Properties via Voting
• 8 Categorization Based on Similarity and Features: The Reproducing Kernel Banach Space (RKBS) Approach
• 9 The Axiom of Meaningfulness in Science and Geometry
• Index