Signal-detection models for multidimensional stimuli: Probability distributions and combination rules
type: Item
instance of: scholarly article
title: Signal-detection models for multidimensional stimuli: Probability distributions and combination rules
zbMATH Open document ID: 0625.92025
DOI: 10.1016/0022-2496(87)90021-6
author: Norma Graham
author: Patricia Kramer
author: Dean Yager
published in: Journal of Mathematical Psychology
publication date: 1987-01-01T00:00:00Z
review text: Probabilistic independence among multiple random variables (e.g., among the outputs of multiple spatial-frequency channels) has been invoked to explain two effects found with many kinds of stimuli: increments in detection performance due to ``probability summation'' and decrements in detection and identification performance due to ``extrinsic uncertainty.'' Quantitative predictions of such effects, however, depend on the precise assumptions. Here we calculate predictions from multidimensional signal-detection theory assuming any of several different probability distributions characterizing the random variables (including two-state, Gaussian, exponential, and double-exponential distributions) and either of two rules for combining the multiple random variables into a single decision variable (taking the maximum or summing them).
Mathematics Subject Classification ID: 91E99
zbMATH DE Number: 4016673
zbMATH Keywords: multidimensional stimuli
zbMATH Keywords: combination rules
zbMATH Keywords: independence
zbMATH Keywords: increments in detection performance
zbMATH Keywords: probability summation
zbMATH Keywords: decrements in detection and identification performance
zbMATH Keywords: extrinsic uncertainty
zbMATH Keywords: multidimensional signal-detection theory
zbMATH Keywords: Gaussian
zbMATH Keywords: exponential
zbMATH Keywords: double-exponential distributions
MaRDI profile type: Publication
full work available at URL: 0022-2496(87)90021-6
OpenAlex ID: W1991686929
cites work: Q5516567
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cites work: The relationship between Luce's choice axiom, Thurstone's theory of comparative judgment, and the double exponential distribution
description: scientific article; zbMATH DE number 4016673