Elements of Psychophysical TheoryThis book presents the basic concepts of classical psychophysics, derived from Gustav Fechner, as seen from the perspective of modern measurement theory. The theoretical discussion is elucidated with examples and numerous problems, and solutions to one-quarter of the problems are provided in the text. |
Contents
Preliminaries | 3 |
On the Uniqueness of Models and Representations | 4 |
Laws Versus Models | 6 |
On the Content of This Book | 7 |
Notation and Conventions | 9 |
Part I BACKGROUND | 11 |
Part II THEORY | 111 |
References | 353 |
Answers or Hints to Selected Exercises | 366 |
377 | |
381 | |
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Common terms and phrases
a₁ argument assume assumption Axiom B₁ B₂ background binary relation biorder Chapter choice probabilities conjoint Weber's law constant continuous function defined Definition 2.6 denote detection dimensionally invariant discrimination family discrimination system discussed distribution empirical equivalent estimation example Exercise exists experimental fact Falmagne family F Fechner's Fechnerian function F functional equation holds implies inequality intensity Iverson Krantz Lemma Luce mapping Mathematical Psychology meaningful method monotonicity notation Notice numerical codes obtain open interval Pa,b Pa(x pair paradigm particular Pax,by payoff matrix procedure psychometric family psychometric functions psychophysical quadruple condition random representation random variables ratio scale real-valued function relation result ROC curve S. S. Stevens satisfying scale family sensation sensitivity function sensory stimulus strictly increasing function subset subtractive Suppose Theorem theory trial weak order Weber functions Weber's law yields