Abstract

The inverse relationship between movement speed and accuracy in goal-directed aiming is mostly investigated using the classic Fitts’ paradigm. According to Fitts’ law, movement time scales linearly with a single quantity, the index of difficulty (ID), which quantifies task difficulty through the quotient of target width and distance. Fitts’ law remains silent, however, on how ID affects the dynamic and kinematic patterns (i.e., perceptual-motor system’s organization) in goal-directed aiming, a question that is still partially answered only. Therefore, we here investigated the Fitts’ task performed in a discrete as well as a cyclic task under seven IDs obtained either by scaling target width under constant amplitude or by scaling target distance under constant target width. Under all experimental conditions Fitts’ law approximately held. However, qualitative and quantitative dynamic as well as kinematic differences for a given ID were found in how the different task variants were performed. That is, while ID predicted movement time, its value in predicting movement organization appeared to be limited. We conclude that a complete description of Fitts’ law has yet to be achieved and speculate that the pertinence of the index of difficulty in studying the dynamics underlying goal-directed aiming may have to be reconsidered.

Highlights

  • The inverse relationship between movement speed and accuracy in goal-directed aiming is mostly investigated using the classic Fitts’ paradigm

  • Movement time (MT) increased with IDe (F(1.449,17.383) = 148.827, p < .0001, η2 = .925), but did so in a manner that interacted with Task (F(2.903,34.842) = 18.228, p < .0001, η2 = .603; Fig. 1b), and Task and Manipulation

  • Within the cyclic task mode, low index of difficulty (ID) were associated with limit cycles or fixed points dependent on whether target width or distance was manipulated, respectively

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Summary

Introduction

The inverse relationship between movement speed and accuracy in goal-directed aiming is mostly investigated using the classic Fitts’ paradigm. According to Fitts’ law, movement time scales linearly with a single quantity, the index of difficulty (ID), which quantifies task difficulty through the quotient of target width and distance. By systematically varying D and W, he found that movement time MT related linearly to the ratio of D and W, MT = a + b × log (2D/W). This linear relation, known as Fitts’ law, was found to hold for discrete aiming [2]. In Fitts’ law, the index of difficulty ID = log (2D/W) quantifies task difficulty as an informational quantity in bits [2, 3]. Regardless, few will debate that as a first approximation, MT scales linearly with the ID, which has been repeatedly shown in discrete and cyclical performances alike [9,10,11,12,13]

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