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. Townsends 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. Introduction Leslie M. Blaha and Joseph W. Houpt
2. High-Probability
Logic and Inheritance Donald Bamber
3. Stochastic Orders of Variability Hans
Colonius
4. Subset System: Mathematical Abstraction of Object and Context Jun
Zhang and Yitong Sun
5. Uniqueness of a Multinomial Processing Tree
Constructed by Knowing Which Pairs of Processes are Ordered Richard
Schweickert and Hye Joo Han
6. Simple Factorial Tweezers for Detecting
Delicate Serial and Parallel Processes Mario Fifi“c
7. Identifying
Spatiotemporal Information Joseph S. Lappin
8. Models of Intertemporal Choice
Junyi Dai and Jerome R. Busemeyer
9. Variations on the Theme of Independence:
Tasks and Effects of Stroop, Garner, and Townsend Daniel Algom
10. Modeling
Interactive Dimensions in a Component Comparison Task using General
Recognition Theory Robin D. Thomas, Noah H. Silbert, Emily Grossman and Shawn
Ell
11. Symmetry Provides a Turing-type Test for 3D Vision Zygmunt Pizlo
12.
Cognitive Psychometrics William H. Batchelder
Joseph W. Houpt is Assistant Professor of Psychology, Wright State University, USA.
Leslie M. Blaha is Engineering Research Psychologist, United States Air Force Research Laboratory, USA.
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