Detrended windowed (lag one) autocorrelation: A new method for distinguishing between event-based and emergent timing

REFERENCES

• Cannon , M. J. , Percival , D. B. , Caccia , D. C. , Raymond , G. M. and Bassingthwaighte , J. B. 1997 . Evaluated scaled windowed variance methods for estimating the Hurst coefficient of time series . Physica A , 241 : 606 – 626 .
   PubMed Web of Science ®Google Scholar
• Collier , G. L. and Ogden , R. T. 2004 . Adding drift to the decomposition of simple isochronous tapping: An extension of the Wing–Kristofferson model . Journal of Experimental Psychology: Human Perception and Performance , 30 : 853 – 872 .
   PubMedGoogle Scholar
• Davies , R. B. and Harte , D. S. 1987 . Tests for Hurst effect . Biometrika , 74 : 95 – 101 .
   Web of Science ®Google Scholar
• Delignières , D. , Lemoine , L. and Torre , K. 2004 . Time intervals production in tapping and oscillatory motion . Human Movement Science , 23 : 87 – 103 .
   PubMed Web of Science ®Google Scholar
• Delignières , D. , Ramdani , S. , Lemoine , L. , Torre , K. , Fortes , M. and Ninot , G. 2006 . Fractal analyses for “short” time series: A re-assessment of classical methods . Journal of Mathematical Psychology , 50 : 525 – 544 .
   Web of Science ®Google Scholar
• Delignières , D. , Torre , K. and Lemoine , L. 2005 . Methodological issues in the application of monofractal analyses in psychological and behavioral research . Nonlinear Dynamics in Psychology and Life Science , 9 : 435 – 461 .
   PubMedGoogle Scholar
• Delignières , D. , Torre , K. and Lemoine , L. 2008 . Fractal models for event-based and dynamical timers . Acta Psychologica , 127 : 382 – 397 .
   PubMed Web of Science ®Google Scholar
• Deriche , M. and Tewfik , A. H. 1993 . Maximum likelihood estimation of the parameters of discrete fractionally differenced Gaussian noise process . IEEE Transactions on Signal Processing , 41 : 2977 – 2989 .
   Google Scholar
• Eke , A. , Herman , P. , Bassingthwaighte , J. B. , Raymond , G. M. , Percival , D. B. Cannon , M. 2000 . Physiological time series: Distinguishing fractal noises from motions . Pflugers Archiv , 439 : 403 – 415 .
   PubMed Web of Science ®Google Scholar
• 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 : 4355 – 4366 .
   Google Scholar
• Gilden , D. L. , Thornton , T. and Mallon , M. W. 1995 . 1/f noise in human cognition . Science , 267 : 1837 – 1839 .
   PubMed Web of Science ®Google Scholar
• Ivry , R. B. and Corcos , D. M. 1993 . “ Slicing the variability pie: Component analysis of coordination and motor dysfunction ” . In Variability and motor control , Edited by: Newell , K. M. and Corcos , D. M. 415 – 447 . Urbana, IL : Human Kinetics .
   Google Scholar
• Ivry , R. B. and Hazeltine , R. E. 1995 . Perception and production of temporal intervals across a range of durations: Evidence for a common timing mechanism . Journal of Experimental Psychology: Human Perception and Performance , 21 : 3 – 18 .
   PubMed Web of Science ®Google Scholar
• Keele , S. W. , Ivry , R. I. and Pokorny , R. 1987 . Force control and its relation to timing . Journal of Motor Behavior , 19 : 96 – 114 .
   PubMed Web of Science ®Google Scholar
• Keele , S. W. , Pokorny , R. A. , Corcos , D. M. and Ivry , R. 1985 . Do perception and motor production share common timing mechanisms: A correctional analysis . Acta Psychologica (Amst) , 60 : 173 – 191 .
   PubMed Web of Science ®Google Scholar
• Lemoine , L. , Torre , K. and Delignières , D. 2006 . Testing for the presence of 1/f noise in continuation tapping data . Canadian Journal of Experimental Psychology , 60 : 247 – 257 .
   PubMed Web of Science ®Google Scholar
• Madison , G. 2004 . Fractal modeling of human isochronous serial interval production . Biological Cybernetics , 90 : 105 – 112 .
   PubMedGoogle Scholar
• McAuley , J. D. , Jones , M. R. , Holub , S. , Johnston , H. M. and Miller , N. S. 2006 . The time of our lives: Life span development of timing and event tracking . Journal of Experimental Psychology: General , 135 : 348 – 367 .
   PubMed Web of Science ®Google Scholar
• Ogden , R. T. and Collier , G. L. 1999 . On detecting and modeling deterministic drift in long run sequences of tapping data . Communications in Statistics—Theory and Methods , 28 : 977 – 987 .
   Google Scholar
• Pressing , J. and Jolley-Rogers , G. 1997 . Spectral properties of human cognition and skill . Biological Cybernetics , 76 : 339 – 347 .
   PubMed Web of Science ®Google Scholar
• Rangarajan , G. and Ding , M. 2000 . Integrated approach to the assessment of long range correlation in time series data . Physical Review E , 61 : 4991 – 5001 .
   PubMed Web of Science ®Google Scholar
• Robertson , S. D. , Zelaznik , H. N. , Lantero , D. A. , Bojczyk , K. G. , Spencer , R. M. Doffin , J. G. 1999 . Correlations for timing consistency among tapping and drawing tasks: Evidence against a single timing process for motor control . Journal of Experimental Psychology: Human Perception and Performance , 25 : 1316 – 1330 .
   PubMed Web of Science ®Google Scholar
• Schöner , G. 2002 . Timing, clocks, and dynamical systems . Brain and Cognition , 48 : 31 – 51 .
   PubMed Web of Science ®Google Scholar
• Vorberg , D. and Wing , A. 1996 . “ Modeling variability and dependence in timing ” . In Handbook of perception and action , Edited by: Heuer , H. and Keele , S. W. Vol. 2 , 181 – 262 . London : Academic Press .
   Google Scholar
• Wing , A. M. and Kristofferson , A. B. 1973a . Response delays and the timing of discrete motor responses . Perception and Psychophysics , 14 : 5 – 12 .
   Web of Science ®Google Scholar
• Wing , A. M. and Kristofferson , A. B. 1973b . The timing of interresponse intervals . Perception and Psychophysics , 13 : 455 – 460 .
   Web of Science ®Google Scholar
• Zelaznik , H. N. , Spencer , R. M. and Ivry , R. B. 2002 . Dissociation of explicit and implicit timing in repetitive tapping and drawing movements . Journal of Experimental Psychology: Human Perception and Performance , 28 : 575 – 588 .
   PubMed Web of Science ®Google Scholar