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20 - Signal Detection Theory and Models for Trade-Offs in Decision Making

Published online by Cambridge University Press:  05 June 2012

Andrew Gelman
Affiliation:
Columbia University, New York
Jeronimo Cortina
Affiliation:
University of Houston
Andrew Gelman
Affiliation:
Columbia University, New York
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Summary

SIGNAL DETECTION THEORY

The first topic we will cover in this chapter is signal detection theory (SDT). Let's begin by considering an area of psychology closely associated with SDT – psychophysics. The first psychological experiments ever conducted were in psychophysics. Psychophysics describes how physical stimuli, such as light or sound waves, are translated into subjective impressions – what we see and hear. For example, we know that the wavelength of light determines the color we perceive.

But our subjective impressions do not map onto physical stimuli in a one-to-one fashion. There are several variables that can affect our subjective impression. Take the physical environment. Imagine that you are listening to another person at a cocktail party, and the party grows so loud that you have a difficult time hearing the person. This is an example of the physical environment interfering with your perception. The neural structure of the perceiver can make a difference as well; if the person has some sort of neural damage, it can interfere with or alter his or her perceptions of a physical stimulus. People who are red-green color-blind do not have the subjective impressions of green or red. Finally, the motivation of the perceiver can make a difference, especially when a task is difficult. Imagine that you are looking in a Where's Waldo puzzle.

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Publisher: Cambridge University Press
Print publication year: 2009

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