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To Miss is Human: Information-Theoretic Rationale for Target Misses in Fitts' Law

Published:02 May 2017Publication History

ABSTRACT

In usual Fitts' law experiments the outcome of a pointing act can be either measured as an error, i.e., a distance from endpoint to target center, or categorized in an all-or-none way as a hit versus a miss. Information theory offers a useful distinction between transmission errors (the received symbol is wrong) and erasures (the received symbol is empty). Although Fitts' law research has been very much inspired by the information theoretic rationale, the error/erasure distinction has escaped attention so far: Target misses have always been treated as normally-distributed errors, through the effective index of difficulty IDe. The paper introduces a new index of difficulty based on the simple observation that a target miss conveys zero bit of information, i.e., it is an erasure. Not only is the new index more consistent with the fundamentals of information theory, it is much simpler to derive than the ISO-recommended IDe.

References

  1. F. Attneave. 1959. Applications of information theory to psychology: A summary of basic concepts, methods, and results. Henry Holt.Google ScholarGoogle Scholar
  2. T. M. Cover and J. A. Thomas. 2012. Elements of information theory. John Wiley & Sons.Google ScholarGoogle Scholar
  3. E. R. F. W. Crossman. 1957. The speed and accuracy of simple hand movements. The nature and acquisition of industrial skills (1957).Google ScholarGoogle Scholar
  4. P. M. Fitts. 1954. The information capacity of the human motor system in controlling the amplitude of movement. Journal of experimental psychology 47, 6 (1954), 381.Google ScholarGoogle ScholarCross RefCross Ref
  5. E. N. Gilbert. 1960. Capacity of a Burst-Noise Channel. Bell system technical journal 39, 5 (1960), 1253--1265. Google ScholarGoogle ScholarCross RefCross Ref
  6. D. M. Green and J. A. Swets. 1966. Signal detection theory and psychophysics. 1966. New York 888 (1966), 889.Google ScholarGoogle Scholar
  7. Y. Guiard, H. B. Olafsdottir, and S. T. Perrault. 2011. Fitt's law as an explicit time/error trade-off. In Proceedings of the SIGCHI Conference on Human Factors in Computing Systems. ACM, 1619--1628. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Y. Guiard and O. Rioul. 2015. A mathematical description of the speed/accuracy trade-off of aimed movement. In Proceedings of the 2015 British HCI Conference. ACM, 91--100. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. W. E. Hick. 1952. On the rate of gain of information. Quarterly Journal of Experimental Psychology 4, 1 (1952), 11--26. DOI: http://dx.doi.org/10.1080/17470215208416600 Google ScholarGoogle ScholarCross RefCross Ref
  10. ISO9241. 2000. 9241-9 Ergonomic requirements for office work with visual display terminals (VDTs)-Part 9: Requirements for non-keyboard input devices (FDIS-Final Draft International Standard), 2000. International Organization for Standardization (2000).Google ScholarGoogle Scholar
  11. I. S. McKenzie. 1989. A note on the information-theoretic basis for Fitts' law. Journal of motor behavior 21, 3 (1989), 323--330. Google ScholarGoogle ScholarCross RefCross Ref
  12. I. S. McKenzie. 1992. Fitts' law as a performance model in human-computer interaction. Ph.D. Dissertation. University of Toronto.Google ScholarGoogle Scholar
  13. I. S. McKenzie. 2002. Bibliography of Fitts' law research. (2002). http://www.yorku.ca/mack/RN-Fitts_bib.htm [Online; last update: June 25, 2002].Google ScholarGoogle Scholar
  14. G. A. Miller. 1956. The magical number seven, plus or minus two: some limits on our capacity for processing information. Psychological Review 63, 2 (1956), 81--97. Google ScholarGoogle ScholarCross RefCross Ref
  15. Richard A. Schmidt, Howard Zelaznik, Brian Hawkins, James S. Frank, and John T. Quinn Jr. 1979. Motor-output variability: a theory for the accuracy of rapid motor acts. Psychological review 86, 5 (1979), 415.Google ScholarGoogle Scholar
  16. C. E. Shannon. 1956. The bandwagon. IRE Transactions on Information Theory 2, 1 (1956), 3.Google ScholarGoogle ScholarCross RefCross Ref
  17. R. W. Soukoreff and I. S. McKenzie. 2004. Towards a Standard for Pointing Device Evaluation, Perspectives on 27 Years of Fitts' Law Research in HCI. Int. J. Hum.-Comput. Stud. 61, 6 (Dec. 2004), 751--789. DOI: http://dx.doi.org/10.1016/j.ijhcs.2004.09.001 Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. A. T. Welford. 1960. The measurement of sensory-motor performance: Survey and reappraisal of twelve years' progress. Ergonomics 3, 3 (1960), 189--230. Google ScholarGoogle ScholarCross RefCross Ref
  19. A. T. Welford, A. H. Norris, and N. W. Shock. 1969. Speed and accuracy of movement and their changes with age. Acta psychologica 30 (1969), 3--15. Google ScholarGoogle ScholarCross RefCross Ref
  20. R. S. Woodworth. 1899. Accuracy of voluntary movement. The Psychological Review: Monograph Supplements 3, 3 (1899), i.Google ScholarGoogle ScholarCross RefCross Ref

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        cover image ACM Conferences
        CHI '17: Proceedings of the 2017 CHI Conference on Human Factors in Computing Systems
        May 2017
        7138 pages
        ISBN:9781450346559
        DOI:10.1145/3025453

        Copyright © 2017 ACM

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        Publication History

        • Published: 2 May 2017

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        CHI '17 Paper Acceptance Rate600of2,400submissions,25%Overall Acceptance Rate6,199of26,314submissions,24%

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