Power vs. logarithmic model of Fitts' law: A mathematical analysis

Olivier Rioul 1, 2 Yves Guiard 3, 4
1 COMNUM - Communications Numériques
LTCI - Laboratoire Traitement et Communication de l'Information
3 DIVA - Design, Interaction, Visualization & Applications
LTCI - Laboratoire Traitement et Communication de l'Information
Abstract : Whether Fitts’ law, a well-known model of human pointing movement, is a logarithmic law or a power law has remained unclear so far. In two widely cited papers, Meyer & al. have claimed that the power model they derived from their celebrated stochastic optimized- submovement theory encompasses the logarithmic model as a limiting case, when the number of submovements grows large. We review the Meyer & al. submovement theory and show that this claim is questionable mathematically. Our analysis reveals that Meyer & al.’s theory implies in fact a quasi-logarithmic, rather than quasi-power model, the two models not being equivalent. Awareness that the two classes of candidate mathematical descriptions of Fitts’ law are not equivalent should stimulate experimental research in the field.
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https://hal.telecom-paristech.fr/hal-02299930
Contributor : Olivier Rioul <>
Submitted on : Sunday, September 29, 2019 - 12:58:19 AM
Last modification on : Thursday, October 17, 2019 - 12:36:59 PM

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  • HAL Id : hal-02299930, version 1

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Olivier Rioul, Yves Guiard. Power vs. logarithmic model of Fitts' law: A mathematical analysis. Revue internationale : Mathématics & Sciences humaines / Mathematics and Social Sciences, 2012, 2012(3) (199), pp.85-96. ⟨hal-02299930⟩

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