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Speed-Accuracy Tradeoff: A Formal Information-Theoretic Transmission Scheme (FITTS)

Julien Gori 1, 2 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 : The rationale for Fitts’ law is that pointing tasks have the information-theoretic analogy of sending a signal over a noisy channel, thereby matching Shannon’s capacity formula. Yet, the currently received analysis is incomplete and unsatisfactory: There is no explicit communication model for pointing; there is a confusion between central concepts of capacity (a mathematical limit), throughput (an average performance measure) and bandwidth (a physical quantity); and there is also a confusion between source and channel coding so that Shannon’s Theorem 17 can be misinterpreted. We develop an information-theoretic model for pointing tasks where the index of difficulty ID is the expression of both a source entropy and a zero-error channel capacity. Then, we extend the model to include misses at rate ε and prove that ID should be adjusted to (1 − ε )ID. Finally, we reflect on Shannon’s channel coding theorem and argue that only minimum movement times, not performance averages, should be considered
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Submitted on : Monday, August 30, 2021 - 11:06:06 AM
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Julien Gori, Olivier Rioul, yves Guiard. Speed-Accuracy Tradeoff: A Formal Information-Theoretic Transmission Scheme (FITTS). ACM Transactions on Computer-Human Interaction, Association for Computing Machinery, 2018, 25 (5), Article 27 (33 pp.). ⟨hal-02287935⟩

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