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A New Approach to Modeling the Prediction of Movement Time

Department of Industrial Management, National Taiwan University of Science and Technology, Taipei 106, Taiwan
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Academic Editor: Anatoliy Swishchuk
Mathematics 2021, 9(14), 1585; https://doi.org/10.3390/math9141585
Received: 23 April 2021 / Revised: 1 June 2021 / Accepted: 15 June 2021 / Published: 6 July 2021
Fitts’ law predicts the human movement response time for a specific task through a simple linear formulation, in which the intercept and the slope are estimated from the task’s empirical data. This research was motivated by our pilot study, which found that the linear regression’s essential assumptions are not satisfied in the literature. Furthermore, the keystone hypothesis in Fitts’ law, namely that the movement time per response will be directly proportional to the minimum average amount of information per response demanded by the particular amplitude and target width, has never been formally tested. Therefore, in this study we developed an optional formulation by combining the findings from the fields of psychology, physics, and physiology to fulfill the statistical assumptions. An experiment was designed to test the hypothesis in Fitts’ law and to validate the proposed model. To conclude, our results indicated that movement time could be related to the index of difficulty at the same amplitude. The optional formulation accompanies the index of difficulty in Shannon form and performs the prediction better than the traditional model. Finally, a new approach to modeling movement time prediction was deduced from our research results. View Full-Text
Keywords: Fitts’ law; information theory; index of difficulty; SQRT_MT model Fitts’ law; information theory; index of difficulty; SQRT_MT model
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MDPI and ACS Style

Lin, C.J.; Cheng, C.-F. A New Approach to Modeling the Prediction of Movement Time. Mathematics 2021, 9, 1585. https://doi.org/10.3390/math9141585

AMA Style

Lin CJ, Cheng C-F. A New Approach to Modeling the Prediction of Movement Time. Mathematics. 2021; 9(14):1585. https://doi.org/10.3390/math9141585

Chicago/Turabian Style

Lin, Chiuhsiang J., and Chih-Feng Cheng. 2021. "A New Approach to Modeling the Prediction of Movement Time" Mathematics 9, no. 14: 1585. https://doi.org/10.3390/math9141585

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