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Abstract

A consensus of critical reviews of single-process theories of vigilance or sustained attention has supported the view that the vigilance decrement must be the result of two or more coacting or interacting processes or systems. One theoretical position, as well as the ubiquity of exponential functions in characterizing the time course of biological processes, led to the hypothesis that the time course of sustained attention could be best modeled by the function

A[e^-T1-time 11(1 + e^T2*time)].

An experimental test (n = 613) using 23 points showed that this function accounted for 96.7% of the variance of detection accuracy and was 1.2 times better than a previously proposed single-term model. All parameter estimates were highly statistically significant. Fits to data from three other studies also supported the two-term exponential model. The model fitted target response time less well, accounting for 75.6% of the variance.

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A Two-Term Exponential Functional Description of the Time Course of Sustained Attention

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