1/f noise in human cognition: Is it ubiquitous, and what does it mean?

Psychonomic Bulletin and Review

Volumn 13, Issue 4, 2006, Pages 737-741

  Farrell, Simon ^a   Wagenmakers, Eric Jan ^b   Ratcliff, Roger ^c  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845363056     PISSN: 10699384     EISSN: None     Source Type: Journal    
DOI: 10.3758/BF03193989     Document Type: Review

References (31)

1. AKAIKE, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19, 716-723.
2. ANDERSON, J. R., & LEBIERE, C. (1998). The atomic components of thought. Mahwah, NJ: Erlbaum.
3. BERAN, J. (1994). Statistics for long-memory processes. New York: Chapman & Hall.
4. BERAN, J., BHANSALI, R. J., & OCKER, D. (1998). On unified model selection for stationary and non-stationary short- and long-memory autoregressive processes. Biometrika, 85, 921-934.
5. BROCKWELL, P. J., & DAVIS, R. A. (1996). Introduction to time series and forecasting. New York: Springer.
6. CRATO, N., & RAY, B. K. (2002). Semi-parametric smoothing estimators for long-memory processes with added noise. Journal of Statistical Planning & Inference, 105, 283-297.
7. DOORNIK, J. A. (ED.) (2001). Ox: An object-oriented matrix language. London: Timberlake Consultants.
8. EKE, A., HERMAN, P., BASSINGTHWAIGHTE, J. B., RAYMOND, G. M., PERCIVAL, D. B., CANNON, M., ET AL. (2000). Physiological time series: Distinguishing fractal noises from motions. European Journal of Physiology, 439, 403-415.
9. FOX, R., & TAQQU, M. S. (1986). Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Annals of Statistics, 14, 517-532.
10. GILDEN, D. L. (1997). Fluctuations in the time required for elementary decisions. Psychological Science, 8, 296-301.
11. GILDEN, D. L. (2001). Cognitive emissions of 1/f noise. Psychological Review, 108, 33-56.
12. GILDEN, D. L., & WILSON, S. G. (1995). Streaks in skilled performance. Psychonomic Bulletin & Review, 2, 260-265.
13. HASLETT, J., & RAFTERY, A. E. (1989). Space-time modelling with long-memory dependence: Assessing Ireland's wind power resource. Journal of the Royal Statistical Society, 38, 1-50.
14. HAUSER, M. A. (1999). Maximum likelihood estimators for ARMA and ARFIMA models: A Monte Carlo study. Journal of Statistical Planning & Inference, 80, 229-255.
15. HEATHCOTE, A., BROWN, S., & MEWHORT, D. J. K. (2000). The power law repealed: The case for an exponential law of practice. Psychonomic Bulletin & Review, 7, 185-207.
16. HSU, N. J., & BREIDT, F. J. (2003). Bayesian analysis of fractionally integrated ARMA with additive noise. Journal of Forecasting, 22, 491-514.
17. LOGAN, G. D. (1988). Toward an instance theory of automatization. Psychological Review, 95, 492-527.
18. MAECHLER, M. (2005). fracdiff: Fractionally differenced ARIMA (p, d, q) models. Vienna: R Foundation for Statistical Computing. Available at www.R-project.org.
19. NEWELL, A., & ROSENBLOOM, P. S. (1981). Mechanisms of skill acquisition and the law of practice. In J. R. Anderson (Ed.), Cognitive skills and their acquisition (pp. 1-51). Hillsdale, NJ: Erlbaum.
20. NEWELL, K. M. (1990). Unified theories of cognition. Cambridge, MA: Harvard University Press.
21. OHLSSON, S. (1992). The learning curve for writing books: Evidence from Asimov. Psychological Science, 3, 380-382.
22. PAI, J. S., & RAVISHANKER, N. (1998). Bayesian analysis of autoregressive fractionally integrated moving-average processes. Journal of Time Series Analysis, 19, 99-112.
23. RITTER, F. E., & SCHOOLER, L. J. (2001). The learning curve. In W. Kintsch, N. Smelser, & P. Baltes (Eds.), International encyclopedia of the social and behavioral sciences (pp. 8602-8605). Oxford: Pergamon.
24. SOWELL, F. (1992). Maximum likelihood estimation of stationary univariate fractionally integrated time series models. Journal of Econometrics, 53, 165-188.
25. THORNTON, T. L., & GILDEN, D. L. (2005). Provenance of correlations in psychological data. Psychonomic Bulletin & Review, 12, 409-441.
26. TORRE, K., DELIGNIÈRES, D., & LEMOINE, L. (in press). Detection of long-range dependence and estimation of fractal exponents through ARFIMA modelling. British Journal of Mathematical & Statistical Psychology.
27. VAN ORDEN, G. C., HOLDEN, J. G., & TURVEY, M. T. (2003). Self-organization of cognitive performance. Journal of Experimental Psychology: General, 132, 331-350.
28. VAN ORDEN, G. C., HOLDEN, J. G., & TURVEY, M. T. (2005). Human cognition and 1/f scaling. Journal of Experimental Psychology: General, 134, 117-123.
29. a noise in human cognition. Psychonomic Bulletin & Review, 11, 579-615.
30. 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.
31. WAGENMAKERS, E.-J., GRÜNWALD, P., & STEYVERS, M. (2006). Accumulative prediction error and the selection of time series models. Journal of Mathematical Psychology, 50, 149-166.