Testing for the presence of 1/f noise in continuation tapping data

Canadian Journal of Experimental Psychology

Volumn 60, Issue 4, 2006, Pages 247-257

  Lemoine, Loïc ^a   Torre, Kjerstin ^a   Delignières, Didier ^a  

^a UNIVERSITY OF MONTPELLIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ARTICLE; ATTENTION; AUDITORY STIMULATION; FEMALE; HEARING; HUMAN; MALE; METHODOLOGY; MIDDLE AGED; NOISE; PHYSIOLOGY; PSYCHOMOTOR PERFORMANCE; RADIATION RESPONSE; SPECTROSCOPY; TIME PERCEPTION;

ACOUSTIC STIMULATION; ADULT; ATTENTION; AUDITORY PERCEPTION; DOSE-RESPONSE RELATIONSHIP, RADIATION; FEMALE; HUMANS; MALE; MIDDLE AGED; NOISE; PSYCHOMOTOR PERFORMANCE; SPECTRUM ANALYSIS; TIME PERCEPTION;

EID: 33947516824     PISSN: 11961961     EISSN: None     Source Type: Journal    
DOI: 10.1037/cjep2006023     Document Type: Article

References (49)

1. Bak, P., & Chen, K. (1991). Self-organized criticality. Scientific American, 264, 46-53.
2. Box, G. E. P., & Jenkins, G. M. (1976). Time series analysis: Forecasting and control. Oakland, CA: Holden-Day.
3. Chen, Y., Ding, M., & Kelso, J. A. S. (1997). Long memory processes (1/f type) in human coordination. Physical Review Letters, 79, 4501-4504.
4. Chen, Y., Ding, M., & Kelso, J. A. S. (2001), Origins of timing errors in human sensorimotor coordination. Journal of Motor Behavior, 33, 3-8.
5. Chen, Y., Repp, B. H., & Patel, A. D. (2002). Spectral decomposition of variability in synchronization and continuation tapping: Comparisons between auditory and visual pacing and feedback conditions. Human Movement Science, 21, 515-532.
6. Creelman, C. D. (1962). Human discrimination of auditory duration. Journal of Acoustical Society of America, 34, 582-593.
7. Davidsen, J., & Schuster, H. G. (2000). 1/f noise from self-organized critical models with uniform driving. Physical Review E, 62, 6111-6115.
8. De Los Rios, P., & Zhang Y. C. (1999). Universal 1/f noise from dissipative self-organized criticality models. Physical Review Letters, 82, 472-475.
9. Delignières, D., Lemoine, L., & Torre, K. (2004). Time intervals production in tapping and oscillatory motion. Human Movement Science, 23, 87-103.
10. Delignières, D., Ramdani. S., Lemoine, L., Torre, K., Fortes, M., & Ninot, G. (2006). Fractal analysis for short time series: A reassessment of classical methods. Journal of Mathematical Psychology, 50, 525-544.
11. Diebolt, C., & Guiraud, V. (2005). A note on long memory time series. Quality & Quantity, 39, 827-836.
12. Doornik, J. A. (2001). Ox: An object-oriented matrix Language. London: Timberlake Consultants Press.
13. Doornik, J. A., & Ooms, M. (1999). A package for estimating, forecasting, and simulating Arfima models: Arfima package 1.0 for Ox [On-line]. Available at: http://www.doornik.com/download/arfima.pdf
14. Eke, A., Herman, P., Bassingthwaighte, J. B., Raymond, G. M., Percival, D. B., Cannon, M., el al. (2000). Physiological time series: Distinguishing fractal noises from motions. Pflügers Archives, 439, 403-415.
15. Eke, A., Hermann, P., Kocsis, L., & Kozak, L. R. (2002). Fractal characterization of complexity in temporal physiological signals. Physiological Measurement, 23, R1-R38.
16. Farrell, S., Wagenmakers, E.-J., & Ratcliff, R. (2005). ARFIMA time series modeling of serial correlations in human performance. Manuscript submitted for publication.
17. Fougère, P. F. (1985). On the accuracy of spectrum analysis of red noise processes using maximum entropy and periodogram methods: Simulation studies and application to geographical data. Journal of Geographical Research, 90(A5), 4355-4366.
18. Gilden, D. L. (2001). Cognitive emissions of 1/f noise. Psychological Review, 108, 33-56.
19. Gilden, D. L., Thornton, T., & Mallon, M. W. (1995). 1/f noise in human cognition, Science, 267, 1837-1839.
20. Granger, C. W. J., & Joyeux, R. (1980). An introduction to long-memory models and fractional differencing. Journal of Time Series Analysis, 1, 15-29.
21. Hoagland, H. (1933). The physiological control of judgment of duration: Evidence of a chemical clock. Journal of General Psychology, 9, 267-287.
22. Kadota, H., Kudo, K., & Ohtsuki, T. (2004). Time-series pattern changes related to movement rate in synchronized human tapping. Neurosciences Letters, 370, 97-101.
23. Kelso, J. A. S (1995), Dynamics patterns: The self-organization of brain and behavior. Cambridge, MA: MIT Press.
24. Madison, G. (2004). Fractal modeling of human isochronous serial interval production. Biological Cybernetics, 90, 105-112.
25. Ogden, R. T., & Collier, G. L. (1999). On detecting and modeling deterministic drift in long run sequences of tapping data. Communications in Statistics - Thoeory and Methods, 28, 977-987.
26. Ooms, M., & Doornik, J. A. (1998 June). Estimation, simulation and forecasting for fractional autoregressive integrated moving average models. Discussion paper, Econometric Institute. Erasmus University Rotterdam, presented at the fourth annual meeting of the Society for Computational Economics, Cambridge, UK.
27. Peng, C. K., Mietus, J., Hausdorff, J. M., Havlin, S., Stanley, H. E., & Goldberger, A. L. (1993). Long-range anti-correlations and non-Gaussian behavior of the heartbeat. Physical Review Letter, 70, 1343-1346.
28. Pressing, J., & Jolley-Rogers, G. (1997). Spectral properties of human cognition and skill. Biological Cybernetics, 76, 339-347.
29. Rangarajan, G., & Ding, M. (2000). Integrated approach to the assessment of long range correlation in time series data. Physical Review E. 61(5A), 4991-5001.
30. Stevens, L. T. (1886). On the time sense. Mind, 11, 393-404.
31. Schöner, G. (2002). Timing, clocks, and dynamical systems. Brain and Cognition, 48, 31-51.
32. Taqqu, M. S., & Teverovsky, V. (1998). On estimating the intensity of long-range dependence in finite and infinite variance time series. In R. Adler, R. Feldman, & M. S. Taqqu (Eds.), A practical guide to heavy tails: Statistical techniques and applications (pp. 177-217). Boston, MA: Birkhauser.
33. Thornton, T. L., & Gilden D. L. (2005). Provenances of correlations in psychophysical data. Psychonomic Bulletin & Review, 12, 403-408.
34. Torre, K., Delignières, D., & Lemoine, L. (in press). Detection of long-range dependence and estimation of fractal exponents through ARFIMA modeling. British Journal of Statistical and Mathematical Psychology.
35. Treisman, M. (1963). Temporal discrimination and the indifference interval: Implications for a model of the internal clock. Psychological Monograph. 77, 1-31.
36. Treisman, M., Faulkner, A., & Naish, P. L. (1992). On the relation between time perception and the timing of motor action: Evidence for a temporal oscillator controlling the timing of movement. Quarterly Journal of Experimental Psychology A, 45, 235-63.
37. Van Gelder, T. (1998). The dynamical hypothesis in cognitive science. Behavioral and Brain Science, 21, 615-665.
38. Van Orden, G. C., Holden, J. C., & Turvey, M. T. (2003). Self-organization of cognitive performance. Journal of Experimental Psychology: General, 132, 331-350.
39. Wagenmakers, E.-J., & Farrell, S. (2004). AIC model selection using Akaike weights. Psychonomic Bulletin & Review, 11, 192-196.
40. Wagenmakers, E.-J., Farrell, S., & Ratcliff, R. (2004). Estimation and interpretation of 1/f noise in human cognition. Psychonomic Bulletin & Revieiv, 11, 579-615.
41. Wagenmakers, E.-J., Farrell, S., & Ratcliff, R. (2005). Human cognition and a pile of sand: A discussion on serial correlations and self-organized criticality. Journal of Experimental Psychology: General, 134, 108-116.
42. West, B. J., & Shlesinger, M. F. (1989). On the ubiquity of 1/f noise. International Journal of Modern Physics B, 3, 795-819.
43. West, B. J., & Shlesinger, M. F. (1990). The noise in natural phenomena. American Scientist, 78, 40-45.
44. Wing, A. M., & Kristofferson, A. B. (1973a). The timing of interresponse intervals. Perception and Psychophysics, 13, 455-460.
45. Wing, A. M., & Kristofferson, A. B. (1973b). Response delays and the timing of discrete motor responses. Perception and Psychophysics, 14, 5-12.
46. Yamada, M. (1996). Temporal control mechanism in equaled interval tapping. Applied Human Science, 15, 105-110.
47. Yamada, M., & Yonera, S. (2001). Temporal control mechanism of repetitive tapping with simple rhythmic patterns. Acoustical Science and Technology, 22, 245-252.
48. Yamada, N. (1995). Nature of variability in rhythmical movement. Human Movement Science, 14, 371-384.
49. Yoshinaga, H., Miyazima, S., & Mitake, S. (2000). Fluctuation of biological rhythm in finger tapping. Physica A, 280, 582-586.