Possibly dependent probability summation of reaction time

doi:10.1016/0022-2496(90)90032-5

Journal of Mathematical Psychology

Volume 34, Issue 3, September 1990, Pages 253-275

https://doi.org/10.1016/0022-2496(90)90032-5 Get rights and content

Abstract

The redundant target effect is frequently observed in certain reaction time experiments. A probability summation mechanism is commonly invoked to explain the observed decrease of reaction time (RT). Here, probability summation models of RT are generalized by dropping the assumption of stochastic independence among processing times. An upper bound for the amount of statistical facilitation possible under negative dependence is derived for the bivariate case. Consequences for models of binocular summation and bisensory interaction are outlined and the main result is illustrated by a comparison of visual/auditory RT data with a simulated dependent probability summation mechanism. The impact of a base time component of reaction time in these simulations is characterized. Finally, it is shown that the detection paradigm can formally be treated under the reaction time paradigm.

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Possibly dependent probability summation of reaction time

Abstract

Cognitive Psychology

Vision Research

Varieties of perceptual independence

Psychological Review

The psychophysical inquiry into binocular summation

Perception and Psychophysics

Reaction time as a measure of binocular interaction in human vision

Investigative Ophthalmology and Visual Science

Estimating probability summation for binocular reaction time data

Perception and Psychophysics

Further developments in binocular summation

Perception and Psychophysics

The relation of frequency of detection to intensity of stimulus for a system of many independent detectors each of which is stimulated by a m-quantum coincidence

Journal of Physiology

Monocular versus binocular visual acuity

Nature

Measuring channel dependence in separate activation models

Perception and Psychophysics

Intersensory facilitation in the motor component? A reaction time analysis

Psychological Research

The ordering of negative dependence

Communications in Statistics-Theory and Methods

Binocular summation over time in the perception of form at brief durations

Journal of Experimental Psychology

On the simultaneous associativity of F(x, y) and x + y − F(x, y)

Aequationes Mathematicae

Sur les tableaux de corrélation dont les marges sont données

Annales de l'Université de Lyon, Section A, Séries 3

Frank's family of bivariate distributions

Biometrika

On the nature of intersensory facilitation of reaction time

Perception and Psychophysics

Absence of a redundant-signals effect in a reaction time task with divided attention

Perception and Psychophysics

Bivariate exponential distributions

Journal of the American Statistical Association

Monte Carlo methods