Empirical evaluation of a model of global psychophysical judgments: III. A form for the psychophysical function and intensity filtering

Steingrimsson, Ragnar; Luce, R. Duncan

doi:10.1016/j.jmp.2005.11.005

Cited by 32 publications

(35 citation statements)

References 14 publications

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“…Strong support, some obtained under this grant, for the behavioral axioms has been established for loudness, brightness, and perceived contrast, focusing on the data from individual respondents, (Steingrimsson & Luce,2005a, 2005b, 2006, 2007Steingrimsson, 2009Steingrimsson, , 2011. These experiments demonstrate that we can successfully apply this theoretical approach to give a formal and unified description of the three domains of loudness, (achromatic) brightness, and perceived contrast.…”

Section: Technical Approachmentioning

confidence: 69%

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Empirical and Theoretical Studies of Psychophysical Phenomena

Luce¹,

Steingrimsson²

2013

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Section: Technical Approachmentioning

confidence: 69%

“…In the axiomatic approach, invariance properties are formulated that if hold imply certain functional forms. On basis of such invariances, we have established that ψ has a power function form and W is a Prelec function (Steingrimsson & Luce, 2006, 2007.…”

Section: Technical Approachmentioning

confidence: 99%

Empirical and Theoretical Studies of Psychophysical Phenomena

Luce¹,

Steingrimsson²

2013

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“…9, for the psychophysical function. This assumption was substantiated for each respondent, which involved their satisfying the behavioral invariance property of multiplicative invariance (see Steingrimsson & Luce, 2006, Exp. 1, for details).…”

Section: Methodsmentioning

confidence: 99%

“…Information about y i and W The form of y i : Steingrimsson and Luce (2006) examined one possible mathematical form for y i , i0l, r: namely, power functions…”

Section: A Theory Of Nemmentioning

confidence: 99%

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Predictions from a model of global psychophysics about differences between perceptual and physical matches

Steingrimsson

Luce

2012

Atten Percept Psychophys

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A well-known phenomenon is that "matched" successive signals do not result in physical identity. This phenomenon has mostly been studied in terms of how much the second of two signals varies from the first, which is called the time-order error (TOE). Here, theoretical predictions led us to study the more general question of how much the matching signal differs from the standard signal, independent of the position of the matching signal as the first or second in a presentation. This we call non-equal matches (NEM). Using Luce's (Psychological Review, 109, 520-532, 2002, Psychological Review, 111, 446-454, 2004, Psychological Review, 115, 601, 2008, Psychological Review, 119, 373-387, 2012 global psychophysical theory, we predicted NEM when an intensity z is perceived to be "1 times a standard signal x." The theory predicts two different types of individual behaviors for the NEM, and these predictions were evaluated and confirmed in an experiment. We showed that the traditional definition of TOE precludes the observation, and thus the study, of the NEM phenomenon, and that the NEM effect is substantial enough to alter conclusions based on data that it affects. Furthermore, we demonstrated that the custom of averaging data over individuals clearly leads to quite misleading results. An important parameter in this modeling is a reference point that plays a central role in creating variability in the data, so that the key to obtaining regular data from respondents is to stabilize the reference point.Keywords Audition . Loudness . Weighting function . 2IFC . 2AFC . Matching . Method of adjustment . Non-equal matches . Time-order error . Mathematical modelingThe time-order error, or TOE, is reported by Stevens (1975) as a "constant error discovered long ago by Fechner . . .[where] on average the second of two equal stimuli tends to be judged greater than the first" (p. 139). For additional remarks on the TOE, see Appendix A.Hellström (2003) lamented how relatively little work had been carried out on the TOE phenomenon. Indeed, we were quite surprised to realize how dramatic these effects can be, and so we second Hellström's (2003) sentiment, adding that these effects are probably only ignored at the peril of arriving at erroneous conclusions. We came to realize that both the definition of the TOE and the prevailing practice of averaging over individual data has precluded the study of a much more fundamental phenomenon: When a respondent provides a perceptual "match" between two successively presented signals differing in intensity only, in general, the signals are not physically identical. We call this general phenomenon non-equal matches (NEM).Let x denote the signal that is presented as a standard that is to be matched, and let z denote the matching signal. Any respondent-selected signal is written in boldface (to emphasize that it is a random variable). With any method of matching, the standard x can be in either the temporally first or second interval. When it is first and z is presented second, we write ...

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