ABSTRACT

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.

chapter 1|12 pages

Introduction

chapter 3|10 pages

Stochastic Orders of Variability

chapter 4|18 pages

Subset System

Mathematical Abstraction of Object and Context

chapter 9|26 pages

Variations on the Theme of Independence

Tasks and Effects of Stroop, Garner, and Townsend

chapter 12|22 pages

Cognitive Psychometrics