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      A New Test of Throughput Invariance in Fitts’ Law: Role of the Intercept and of Jensen’s Inequality

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      , , ,

      The 26th BCS Conference on Human Computer Interaction (HCI)

      Human Computer Interaction

      12 - 14 September 2012

      Throughput, Fitts’ law, y-intercept, Jensen’s inequality, statistics, aggregation order

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            Abstract

            Fitts’ law states that movement time varies linearly with the index of difficulty or, equivalently, that throughput ( TP ) is conserved across variations of the speed/accuracy strategy. Replicating a recent study by MacKenzie and Isokoski (2008), we tested the throughput invariance hypothesis with some fresh data and found the TP to be systematically affected by the strategy. This result, we suggest, pleads against the currently popular definition of the TP inherited from Fitts (1954), namely TP = ID/MT , which we recall is incompatible with the Shannon equation of Fitts’ law. We also show that the statistical elaboration of the TP suffers from a problematic amount of uncontrolled variability due to the multiple inadvertent impact of Jensen’s inequality.

            Content

            Author and article information

            Contributors
            Conference
            September 2012
            September 2012
            : 119-126
            Affiliations
            [0001]Institut Mines-Telecom

            Telecom ParisTech

            CNRS LTCI
            [0002]CNRS LTCI

            Institut Mines-Telecom

            Telecom ParisTech
            Article
            10.14236/ewic/HCI2012.17
            9411f48d-f365-475d-a8e7-628c11cfefc8
            © Halla B. Olafsdottir et al. Published by BCS Learning and Development Ltd. The 26th BCS Conference on Human Computer Interaction, Birmingham, UK

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            The 26th BCS Conference on Human Computer Interaction
            HCI
            26
            Birmingham, UK
            12 - 14 September 2012
            Electronic Workshops in Computing (eWiC)
            Human Computer Interaction
            Product
            Product Information: 1477-9358BCS Learning & Development
            Self URI (journal page): https://ewic.bcs.org/
            Categories
            Electronic Workshops in Computing

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