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Estimation of psychomotor delay from the Fitts’ law coefficients

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Abstract

An intrinsic property of human motor behavior is a trade-off between speed and accuracy. This is classically described by Fitts’ law, a model derived by assuming that the human body has a limited capacity to transmit information in organizing motor behavior. However, Fitts’ law can also be realized as an emergent property of movements generated by delayed feedback. In this article, we describe the relationship between the Fitts’ law coefficients and the physiological parameters of the underlying delayed feedback circuit: the relaxation rate or time constant, and the psychomotor delay of the feedback process. This relationship is then used to estimate the motor circuit delay of several tasks for which Fitts’ law data are available in the literature. We consistently estimate the delay to be between 0 and 112 ms. A further consequence of this model is that not all combinations of slope and Y-intercept in Fitts’ law are possible when movements are generated by delayed feedback. In fact, it is only possible for an observed speed–accuracy trade-off to be generated by delayed feedback if the Fitts’ law coefficients satisfy −0.482 ≤ a/b ≤ 3.343 [bits] where b represents the slope in bits per second and a represents the Y-intercept in seconds. If we assume human movement is generated by delayed feedback, then the Fitts’ law coefficients should always be restricted to this range of values.

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Authors and Affiliations

  1. Chinese Academy of Science, Academy of Mathematics and Systems Science, Beijing, China

    Dan Beamish & Zhujun Jing

  2. Department of Biology, York University, Toronto, Canada

    Shabana Bhatti

  3. University of Ottawa Medical School, Ottawa, Canada

    C. Scott Chubbs

  4. Department of Computer Science and Engineering, York University, Toronto, Canada

    I. Scott MacKenzie

  5. Laboratory for Industrial and Applied Mathematics, York University, Toronto, Canada

    Jianhong Wu

Authors
  1. Dan Beamish
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  2. Shabana Bhatti
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  3. C. Scott Chubbs
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  4. I. Scott MacKenzie
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  5. Jianhong Wu
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  6. Zhujun Jing
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Correspondence to Dan Beamish.

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Beamish, D., Bhatti, S., Chubbs, C.S. et al. Estimation of psychomotor delay from the Fitts’ law coefficients. Biol Cybern 101, 279–296 (2009). https://doi.org/10.1007/s00422-009-0336-3

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