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Article Dans Une Revue ACM Transactions on Computer-Human Interaction Année : 2018

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

Résumé

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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Dates et versions

hal-02287935 , version 1 (30-08-2021)

Identifiants

  • HAL Id : hal-02287935 , version 1

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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, 2018, 25 (5), Article 27 (33 pp.). ⟨hal-02287935⟩
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