Recent Progress in Mathematical Psychology
Recent Progress in Mathematical Psychology

Author: Cornelia E. Dowling

Publisher: Psychology Press

Published: 2014-03-05

Total Pages: 359

ISBN-13: 1317779320

DOWNLOAD EBOOK

Mathematical psychology is an interdisciplinary area of research in which methods of mathematics, operations research, and computer science in psychology are used. Now more than thirty years old, the field has continued to grow rapidly and has taken on a life of its own. This volume summarizes recent progress in mathematical psychology as seen by some of the leading figures in the field as well as some of its leading young researchers. The papers presented in this volume reflect the most important current directions of research in mathematical psychology. They cover topics in measurement, decision and choice, psychophysics and psychometrics, knowledge representation, neural nets and learning models, and cognitive modeling. Some of the major ideas included are new applications of concepts of measurement theory to social phenomena, new directions in the theory of probabilistic choice, surprising results in nonlinear utility theory, applications of boolean methods in the theory of knowledge spaces, applications of neural net ideas to concept learning, developments in the theory of parallel processing models of response time, new results in inhibition theory, and new concepts about paired associate learning.

Mathematical Psychology in Progress
Mathematical Psychology in Progress

Author: Edward E. Roskam

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 379

ISBN-13: 3642839436

DOWNLOAD EBOOK

This volume is the third volume of papers originating from the European Mathematical Psychology Group. Earlier volumes were: E. Degreef & J. van Buggenhaut (Eds.), Trends In Mathematical Psychology, Amsterdam, North-Holland Publ. Cy., 1984, and E.E. Roskam & R. Suck (Eds.), Progress in Mathematical Psychology, Amsterdam: Elsevier Science Publ. As the title indicates, this volume presents work in progress, which was reported in one of the recent annual meetings of the European Mathematical Psychology Group. The Group finds it worthwhile to disseminate this work, using a review process which is somewhat less strict, and a publication lag which is shorter, than would be the case for standard international journals. The editor is happy that the meetings of the European Mathematical Psychology Group are regularly attended by colleagues from overseas. Their contributions also appear in this volume, as was the case in earlier volumes. Despite apparent heterogeneity, the reader will observe that European mathemati cal psychologists have a keen interest in basic issues of mathematical modeling and measurement theory, and that also substantive topics, such as decision making, per ception, and performance are studied in the context of formal modeling. Also, and per haps of more than casual importance for future developments, is the fact that theory, experiment, and data analysis go closely together. It should therefore not surprise that psychometric topics, and topics in scaling are represented in this volume, alongside with topics of a more 'purely' mathematical nature.

The Oxford Handbook of Computational and Mathematical Psychology
The Oxford Handbook of Computational and Mathematical Psychology

Author: Jerome R. Busemeyer

Publisher:

Published: 2015

Total Pages: 425

ISBN-13: 0199957991

DOWNLOAD EBOOK

This Oxford Handbook offers a comprehensive and authoritative review of important developments in computational and mathematical psychology. With chapters written by leading scientists across a variety of subdisciplines, it examines the field's influence on related research areas such as cognitive psychology, developmental psychology, clinical psychology, and neuroscience. The Handbook emphasizes examples and applications of the latest research, and will appeal to readers possessing various levels of modeling experience. The Oxford Handbook of Computational and mathematical Psychology covers the key developments in elementary cognitive mechanisms (signal detection, information processing, reinforcement learning), basic cognitive skills (perceptual judgment, categorization, episodic memory), higher-level cognition (Bayesian cognition, decision making, semantic memory, shape perception), modeling tools (Bayesian estimation and other new model comparison methods), and emerging new directions in computation and mathematical psychology (neurocognitive modeling, applications to clinical psychology, quantum cognition). The Handbook would make an ideal graduate-level textbook for courses in computational and mathematical psychology. Readers ranging from advanced undergraduates to experienced faculty members and researchers in virtually any area of psychology--including cognitive science and related social and behavioral sciences such as consumer behavior and communication--will find the text useful.

Learning Spaces
Learning Spaces

Author: Jean-Claude Falmagne

Publisher: Springer Science & Business Media

Published: 2010-09-10

Total Pages: 417

ISBN-13: 3642010393

DOWNLOAD EBOOK

Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. Leaning spaces have become the essential structures to be used in assessing students' competence of various topics. A practical example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. At the heart of ALEKS is an artificial intelligence engine that assesses each student individually and continously. The book is of interest to mathematically oriented readers in education, computer science, engineering, and combinatorics at research and graduate levels. Numerous examples and exercises are included, together with an extensive bibliography.

Measurement and Representation of Sensations
Measurement and Representation of Sensations

Author: Hans Colonius

Publisher: Psychology Press

Published: 2013-05-13

Total Pages: 259

ISBN-13: 1136871780

DOWNLOAD EBOOK

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.

The Oxford Handbook of Perceptual Organization
The Oxford Handbook of Perceptual Organization

Author: Johan Wagemans

Publisher: OUP Oxford

Published: 2015-08-21

Total Pages: 1121

ISBN-13: 0191510475

DOWNLOAD EBOOK

Perceptual organization comprises a wide range of processes such as perceptual grouping, figure-ground organization, filling-in, completion, perceptual switching, etc. Such processes are most notable in the context of shape perception but they also play a role in texture perception, lightness perception, color perception, motion perception, depth perception, etc. Perceptual organization deals with a variety of perceptual phenomena of central interest, studied from many different perspectives, including psychophysics, experimental psychology, neuropsychology, neuroimaging, neurophysiology, and computational modeling. Given its central importance in phenomenal experience, perceptual organization has also figured prominently in classic Gestalt writings on the topic, touching upon deep philosophical issues regarding mind-brain relationships and consciousness. In addition, it attracts a great deal of interest from people working in applied areas like visual art, design, architecture, music, and so forth. The Oxford Handbook of Perceptual Organization provides a broad and extensive review of the current literature, written in an accessible form for scholars and students. With chapter written by leading researchers in the field, this is the state-of-the-art reference work on this topic, and will be so for many years to come.

Knowledge Spaces
Knowledge Spaces

Author: Jean-Claude Falmagne

Publisher: Springer Science & Business Media

Published: 2013-06-20

Total Pages: 362

ISBN-13: 3642353290

DOWNLOAD EBOOK

The book describes up-to-date applications and relevant theoretical results. These applications come from various places, but the most important one, numerically speaking, is the internet based educational system ALEKS. The ALEKS system is bilingual English-Spanish and covers all of mathematics, from third grade to the end of high school, and chemistry. It is also widely used in higher education because US students are often poorly prepared when they reach the university level. The chapter by Taagepera and Arasasingham deals with the application of knowledge spaces, independent of ALEKS, to the teaching of college chemistry. The four chapters by Albert and his collaborators strive to give cognitive interpretations to the combinatoric structures obtained and used by the ALEKS system. The contribution by Eppstein is technical and develops means of searching the knowledge structure efficiently.

The International Handbook of Psychology
The International Handbook of Psychology

Author: Kurt Pawlik

Publisher: SAGE

Published: 2000-07-21

Total Pages: 664

ISBN-13: 1847876641

DOWNLOAD EBOOK

The International Handbook of Psychology is an authoritative resource covering all the main areas of psychological science and written by an outstanding set of authors from around the world. The 31 chapters cover not only scientific but also applied cross-disciplinary aspects. Supervised by an International Editorial Advisory Board (IEAB) of 13 eminent psychologists and edited by Professors Kurt Pawlik and Mark R Rosenzweig, it is being published under the auspices of the International Union of Psychological Science (IUPsyS) by SAGE Publications Ltd in London. The International Handbook of Psychology will be invaluable to advanced undergraduates, graduate students and academics in psychology, and will also be of interest to students of education, sociology, political science, humanities, philosophy, informatics, cognitive sciences, neuroscience, legal sciences and criminology, and will serve as a general resource reference text, written at a level comparable to Scientific American. `This impressive volume covers a tremendous amount of work. It is well organized: authors have generally kept to a standard brief. It is also truly international both in authorship and the origin of the work referenced. This will provide a very useful reference book for undergraduate and post-graduate students′ - British Journal of Educational Psychology

New Handbook of Mathematical Psychology: Volume 3, Perceptual and Cognitive Processes
New Handbook of Mathematical Psychology: Volume 3, Perceptual and Cognitive Processes

Author: F. Gregory Ashby

Publisher: Cambridge University Press

Published: 2023-03-31

Total Pages: 575

ISBN-13: 1108905099

DOWNLOAD EBOOK

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.

Stevens' Handbook of Experimental Psychology and Cognitive Neuroscience, Methodology
Stevens' Handbook of Experimental Psychology and Cognitive Neuroscience, Methodology

Author:

Publisher: John Wiley & Sons

Published: 2018-03-13

Total Pages: 848

ISBN-13: 1119170125

DOWNLOAD EBOOK

V. Methodology: E. J. Wagenmakers (Volume Editor) Topics covered include methods and models in categorization; cultural consensus theory; network models for clinical psychology; response time modeling; analyzing neural time series data; models and methods for reinforcement learning; convergent methods of memory research; theories for discriminating signal from noise; bayesian cognitive modeling; mathematical modeling in cognition and cognitive neuroscience; the stop-signal paradigm; hypothesis testing and statistical inference; model comparison in psychology; fmri; neural recordings; open science; neural networks and neurocomputational modeling; serial versus parallel processing; methods in psychophysics.