In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend’s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.
1. The Neural Basis of General Recognition Theory F. Gregory Ashby and Fabian A. Soto 2. Visual Processing Capacity Søren Kyllingsbæk 3. On the Relationship between Perceived Structural Complexity and Temporal Judgments Ronaldo Vigo and Derek E. Zeigler 4. The Mental Representation of Roman Letters: Revisiting Townsend’s 1971 Letter-identification Data Peter Cassey and Ami Eidels 5. Exposing the Hidden Ideal Stephen W. Link 6. Hearing What We See: The Temporal Dynamics of Audiovisual Speech Integration Nicholas Altieri 7. Processing Characteristics of Monaural Tone Detection: A Reaction Time Perspective on a Classic Psychoacoustic Problem Jennifer J. Lentz, Yuan He, Joseph W. Houpt, Julia M. Delong and James T. Townsend 8. Characterizing and Quantifying Human Bandwidth: On the Utility and Criticality of the Construct of Capacity Michael J. Wenger and Stephanie E. Rhoten 9.Modeling Stress Effects on Coping-Related Cognition Richard W. J. Neufeld 10. Systems Factorial Technology Provides New Insights on the Perceptual Comparison and Decision Process in Change Detection Yang Cheng-Ta 11. Individual Differences C(t) Leslie M. Blaha and Joseph W. Houpt