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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.

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          Most cited references 10

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          Strong Inference: Certain systematic methods of scientific thinking may produce much more rapid progress than others.

           Robert Platt (1964)
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            INFORMATION CAPACITY OF DISCRETE MOTOR RESPONSES.

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              Fitts' Law as a Research and Design Tool in Human-Computer Interaction

               I. MacKenzie (2009)
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                Author and article information

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

                Telecom ParisTech

                CNRS LTCI
                CNRS LTCI

                Institut Mines-Telecom

                Telecom ParisTech
                Article
                10.14236/ewic/HCI2012.17
                © 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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