Implications of marginal and conditional detection parameters for the separabilities and independence of perceptual dimensions
type: Item
instance of: scholarly article
title: Implications of marginal and conditional detection parameters for the separabilities and independence of perceptual dimensions
zbMATH Open document ID: 0791.92028
DOI: 10.1016/0022-2496(92)90027-5
author: Helena Kadlec
author: James T. Townsend
published in: Journal of Mathematical Psychology
publication date: 1993-04-01T00:00:00Z
review text: The second author and \textit{F. G. Ashby} [see `` The stochastic modeling of elementary psychological processes.'' (1983; Zbl 0595.92015)] developed a theory and related methodology for assessing various types of perceptual independence within recognition accuracy experiments. A special case of considerable importance was the General Gaussian Recognition Model based on multivariate normal distributions with arbitrary covariance matrices across stimuli. The General Recognition model can also be viewed as a multidimensional extension of signal detection theory and thereby yields two sets of signal detection analyses, macro- and microanalyses introduced earlier by the second author and his colleagues. The present work develops logical relationships among these two sets of signal detection parameters and the various concepts of ``perceptual independence'' including perceptual and decisional separability, marginal response invariance, sampling independence, and perceptual independence. These relationships lead to new tests of the varieties of independence and permit a qualitative construction of the underlying perceptual space.
Mathematics Subject Classification ID: 91E10
Mathematics Subject Classification ID: 91E30
zbMATH DE Number: 148883
zbMATH Keywords: general Gaussian recognition model
zbMATH Keywords: types of perceptual independence
zbMATH Keywords: recognition accuracy experiments
zbMATH Keywords: multivariate normal distributions
zbMATH Keywords: signal detection
zbMATH Keywords: perceptual and decisional separability
zbMATH Keywords: marginal response invariance
zbMATH Keywords: sampling independence
zbMATH Keywords: perceptual space
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
full work available at URL: 0022-2496(92)90027-5
OpenAlex ID: W1970100822
cites work: Q5456648
cites work: The dimensional representation and the metric structure of similarity data
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description: scientific article; zbMATH DE number 148883