Using 1/f noise to examine planning and control in a discrete aiming task

Experimental Brain Research

Volumn 187, Issue 2, 2008, Pages 303-319

  Valdez, André B ^a   Amazeen, Eric L ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

1 f Noise; Control; Fractal; Long range correlation; Planning

Indexed keywords

ARTICLE; CONTROLLED STUDY; DISPERSION; FEMALE; HUMAN; HUMAN EXPERIMENT; KINEMATICS; MALE; MODEL; MOTOR PERFORMANCE; NOISE; NORMAL HUMAN; PLANNING; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; RESPONSE TIME; TASK PERFORMANCE; TREND STUDY; VELOCITY;

ADULT; ANALYSIS OF VARIANCE; BIOMECHANICS; FEMALE; HUMANS; MALE; MODELS, NEUROLOGICAL; MOVEMENT; PSYCHOMOTOR PERFORMANCE;

EID: 42649120663     PISSN: 00144819     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00221-008-1305-0     Document Type: Article

References (54)

1. Akaike H (1973) Information theory and an extension of maximum likelihood principle. In: Petrov BN, Csaki F (eds) Proceedings of the 2nd international symposium on information theory. Academiai Kiado, Budapest
2. J Bassingthwaighte 1988 Physiological heterogeneity: fractals link determinism and randomness in structures and functions News Physiol Sci 3 5 10 Bassingthwaighte J (1988) Physiological heterogeneity: fractals link determinism and randomness in structures and functions. News Physiol Sci 3:5–10
3. J Bassingthwaighte G Raymond 1995 Evaluation of the dispersional analysis method for fractal time series Ann Biomed Eng 23 491 505 7486356 10.1007/BF02584449 1:STN:280:DyaK28%2FptVSksw%3D%3D Bassingthwaighte J, Raymond G (1995) Evaluation of the dispersional analysis method for fractal time series. Ann Biomed Eng 23:491–505
4. DC Caccia DB Percival MJ Cannon GM Raymond JB Bassingthwaighte 1997 Analyzing exact fractal time series: evaluating dispersional analysis and rescaled range methods Physica A 246 609 632 10.1016/S0378-4371(97)00363-4 Caccia DC, Percival DB, Cannon MJ, Raymond GM, Bassingthwaighte JB (1997) Analyzing exact fractal time series: evaluating dispersional analysis and rescaled range methods. Physica A 246:609–632
5. Y Chen M Ding JAS Kelso 1997 Long memory processes (1/ f type) in human coordination Phys Rev Lett 79 4501 4504 10.1103/PhysRevLett.79.4501 1:CAS:528:DyaK2sXnvVShtrc%3D Chen Y, Ding M, Kelso JAS (1997) Long memory processes (1/ f type) in human coordination. Phys Rev Lett 79:4501–4504
6. D Delignieres S Ramdani L Lemoine K Torre M Fortes G Ninot 2006 Fractal analyses for ‘short’ time series: a re-assessment of classical methods J Math Psychol 50 525 544 10.1016/j.jmp.2006.07.004 Delignieres D, Ramdani S, Lemoine L, Torre K, Fortes M, Ninot G (2006) Fractal analyses for ‘short’ time series: a re-assessment of classical methods. J Math Psychol 50:525–544
7. M Desmurget S Grafton 2000 Forward modeling allows feedback control for fast reaching movements Trends Cogn Sci 11 423 431 10.1016/S1364-6613(00)01537-0 Desmurget M, Grafton S (2000) Forward modeling allows feedback control for fast reaching movements. Trends Cogn Sci 11:423–431
8. M Ding Y Chen JA Kelso 2002 Statistical analysis of timing errors Brain Cogn 48 98 106 11812035 10.1006/brcg.2001.1306 Ding M, Chen Y, Kelso JA (2002) Statistical analysis of timing errors. Brain Cogn 48:98–106
9. JA Doornik 2001 Ox: an object-oriented matrix language Timberlake Consultants Press London Doornik JA (2001) Ox: an object-oriented matrix language. Timberlake Consultants Press, London
10. Doornik JA, Ooms M (1999) A package for estimating, forecasting, and simulating Arfima models: Arfima package 1.0 for Ox. http://www.doornik.com/download/arfima.pdf
11. H Eke J Bassingthwaighte G Raymond D Percival M Cannon I Balla C Ikrenyi 2000 Physiological time series: distinguishing fractal noises from motions Eur J Physiol 439 403 415 10.1007/s004240050957 1:CAS:528:DC%2BD3cXhslWlt7o%3D Eke H, Bassingthwaighte J, Raymond G, Percival D, Cannon M, Balla I, Ikrenyi C (2000) Physiological time series: distinguishing fractal noises from motions. Eur J Physiol 439:403–415
12. H Eke P Herman L Kocsis L Kozak 2002 Fractal characterization of complexity in temporal physiological signals Physiol Meas 23 R1 R38 11876246 10.1088/0967-3334/23/1/201 1:STN:280:DC%2BD387kt1ygsw%3D%3D Eke H, Herman P, Kocsis L, Kozak L (2002) Fractal characterization of complexity in temporal physiological signals. Physiol Meas 23:R1–R38
13. D Elliott G Binsted M Heath 1999 The control of goal-directed limb movements: correcting errors in the trajectory Hum Mov Sci 18 121 136 10.1016/S0167-9457(99)00004-4 Elliott D, Binsted G, Heath M (1999) The control of goal-directed limb movements: correcting errors in the trajectory. Hum Mov Sci 18:121–136
14. D Elliott WF Helsen R Chua 2001 A century later: Woodworth’s (1899) two-component model of goal-directed aiming Psychol Bull 127 342 357 11393300 10.1037/0033-2909.127.3.342 1:STN:280:DC%2BD3MzhvVyitQ%3D%3D Elliott D, Helsen WF, Chua R (2001) A century later: Woodworth’s (1899) two-component model of goal-directed aiming. Psychol Bull 127:342–357
15. D Elliott S Hansen J Mendoza L Tremblay 2004 Learning to optimize speed, accuracy, and energy expenditure: a framework for understanding speed-accuracy relations in goal-directed aiming J Mot Behav 3 339 351 10.3200/JMBR.36.3.339-351 Elliott D, Hansen S, Mendoza J, Tremblay L (2004) Learning to optimize speed, accuracy, and energy expenditure: a framework for understanding speed-accuracy relations in goal-directed aiming. J Mot Behav 3:339–351
16. S Farrell EJ Wagenmakers R Ratcliff 2006 1/ f noise in human cognition: is it ubiquitous, and what does it mean? Psychon Bull Rev 4 737 741 Farrell S, Wagenmakers EJ, Ratcliff R (2006) 1/ f noise in human cognition: is it ubiquitous, and what does it mean? Psychon Bull Rev 4:737–741
17. M Gardner 1978 Mathematical games: white and brown music, fractal curves and one-over-f fluctuations Sci Am 238 16 32 10.1038/scientificamerican0478-16 Gardner M (1978) Mathematical games: white and brown music, fractal curves and one-over-f fluctuations. Sci Am 238:16–32
18. S Glover 2004 Separate visual representations in the planning and control of action Behav Brain Sci 27 3 78 15481943 Glover S (2004) Separate visual representations in the planning and control of action. Behav Brain Sci 27:3–78
19. J Gordon C Ghez 1987 Trajectory control in targeted force impulses: III. Compensatory adjustments for initial errors Exp Brain Res 2 253 269 10.1007/BF00248547 Gordon J, Ghez C (1987) Trajectory control in targeted force impulses: III. Compensatory adjustments for initial errors. Exp Brain Res 2:253–269
20. S Hansen CM Glazebrook JG Anson DJ Weeks D Elliott 2006 The influence of advance information about target location and visual feedback on movement planning and execution Can J Exp Psychol 60 200 208 17076435 Hansen S, Glazebrook CM, Anson JG, Weeks DJ, Elliott D (2006) The influence of advance information about target location and visual feedback on movement planning and execution. Can J Exp Psychol 60:200–208
21. S Hansen D Elliott L Tremblay 2007 Online control of discrete action following visual perturbation Perception 36 268 287 17402668 10.1068/p5629 Hansen S, Elliott D, Tremblay L (2007) Online control of discrete action following visual perturbation. Perception 36:268–287
22. J Hausdorff P Purdon C Peng Z Ladin J Wei A Goldberger 1996 Fractal dynamics in human gait: stability of long-range correlations in stride interval fluctuations J Appl Physiol 80 1448 1457 8727526 1:STN:280:DyaK28zitlemug%3D%3D Hausdorff J, Purdon P, Peng C, Ladin Z, Wei J, Goldberger A (1996) Fractal dynamics in human gait: stability of long-range correlations in stride interval fluctuations. J Appl Physiol 80:1448–1457
23. Holden J (2005) Gauging the fractal dimension of response times from cognitive tasks. In: Riley MA, Van Orden GC (eds) Contemporary nonlinear methods for behavioral scientists: a webbook tutorial, pp 267–318
24. SW Keele 1968 Movement control in skilled motor performance Psychol Bull 70 387 403 10.1037/h0026739 Keele SW (1968) Movement control in skilled motor performance. Psychol Bull 70:387–403
25. MA Khan D Elliott J Coull R Chua J Lyons 2002 Optimal control strategies under different feedback schedules: kinematic evidence J Motor Behav 34 45 47 10.1080/00222890209601930 Khan MA, Elliott D, Coull J, Chua R, Lyons J (2002) Optimal control strategies under different feedback schedules: kinematic evidence. J Motor Behav 34:45–47
26. P Killeen 2005 Complex dynamic process in sign tracking with an omission contingency (negative automaintenance) J Exp Psychol Anim Behav Process 29 49 61 10.1037/0097-7403.29.1.49 Killeen P (2005) Complex dynamic process in sign tracking with an omission contingency (negative automaintenance). J Exp Psychol Anim Behav Process 29:49–61
27. DRJ Laming 1968 Information theory of choice-reaction times Academic Press London Laming DRJ (1968) Information theory of choice-reaction times. Academic Press, London
28. DRJ Laming 1979 Autocorrelation of choice–reaction times Acta Psychol 43 381 412 10.1016/0001-6918(79)90032-5 1:STN:280:DyaL3c%2FjvV2lsQ%3D%3D Laming DRJ (1979a) Autocorrelation of choice–reaction times. Acta Psychol 43:381–412
29. G Madison 2001 Variability in isochronous tapping: higher order dependencies as a function of intertap interval J Exp Psychol Hum Percept Perform 27 411 422 11318056 10.1037/0096-1523.27.2.411 1:STN:280:DC%2BD3MvkslGgtQ%3D%3D Madison G (2001) Variability in isochronous tapping: higher order dependencies as a function of intertap interval. J Exp Psychol Hum Percept Perform 27:411–422
30. WJ Merrill CA Bennett 1956 The application of temporal correlation techniques in psychology J Appl Psychol 40 272 280 10.1037/h0043648 Merrill WJ, Bennett CA (1956) The application of temporal correlation techniques in psychology. J Appl Psychol 40:272–280
31. J Messier J Kalaska 1999 Comparison of variability of initial kinematics and endpoints of reaching movements Exp Brain Res 125 139 152 10204767 10.1007/s002210050669 1:STN:280:DyaK1M3hvFClsw%3D%3D Messier J, Kalaska J (1999) Comparison of variability of initial kinematics and endpoints of reaching movements. Exp Brain Res 125:139–152
32. M Miyazaki H Kadota K Kudo K Masani T Ohtsuki 2001 Fractal correlation of initial trajectory dynamics vanishes at the movement endpoint in human rapid goal-directed movements Neurosci Lett 3 173 176 10.1016/S0304-3940(01)01779-7 Miyazaki M, Kadota H, Kudo K, Masani K, Ohtsuki T (2001) Fractal correlation of initial trajectory dynamics vanishes at the movement endpoint in human rapid goal-directed movements. Neurosci Lett 3:173–176
33. T Musha K Katsurai Y Teramachi 1985 Fluctuations of human tapping intervals IEEE Trans Biomed Eng (BME) 32 578 582 10.1109/TBME.1985.325457 1:STN:280:DyaL2M3oslanuw%3D%3D Musha T, Katsurai K, Teramachi Y (1985) Fluctuations of human tapping intervals. IEEE Trans Biomed Eng BME 32:578–582
34. KM Newell L Hoshizaki MJ Carlton 1979 Movement time and velocity as determinants of movement timing accuracy J Mot Behav 1 49 58 Newell KM, Hoshizaki L, Carlton MJ (1979) Movement time and velocity as determinants of movement timing accuracy. J Mot Behav 1:49–58
35. Ooms M, Doornik JA (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
36. R Plamondon A Alimi 1997 Speed/accuracy trade-offs in target-directed movements Behav Brain Sci 20 279 349 10096999 1:STN:280:DyaK1M7psFGgtw%3D%3D Plamondon R, Alimi A (1997) Speed/accuracy trade-offs in target-directed movements. Behav Brain Sci 20:279–349
37. G Rangarajan M Ding 2000 Integrated approach to the assessment of long range correlation in time series data Phys Rev E 61 4991 5001 10.1103/PhysRevE.61.4991 1:CAS:528:DC%2BD3cXivFCktb8%3D Rangarajan G, Ding M (2000) Integrated approach to the assessment of long range correlation in time series data. Phys Rev E 61:4991–5001
38. N Scafetta L Griffin BJ West 2003 Holder exponent spectra for human gait Physica A 328 561 583 10.1016/S0378-4371(03)00527-2 Scafetta N, Griffin L, West BJ (2003) Holder exponent spectra for human gait. Physica A 328:561–583
39. R Schmidt T Lee 2005 Motor control and learning: a behavioral emphasis Human Kinetics Champaign Schmidt R, Lee T (2005) Motor control and learning: a behavioral emphasis. Human Kinetics, Champaign
40. JBJ Smeets CJ Erkelens JJ Gon van der 1990 Adjustments of fast goal-directed movements in response to an unexpected inertial load Exp Brain Res 81 303 312 2397758 10.1007/BF00228120 1:STN:280:DyaK3cznsVyiug%3D%3D Smeets JBJ, Erkelens CJ, van der Gon JJ (1990) Adjustments of fast goal-directed movements in response to an unexpected inertial load. Exp Brain Res 81:303–312
41. MS Taqqu V Teverosvsky 1998 On estimating the intensity of long-range dependence in finite and infinite variance time series R Adler R Feidman MS Taqqu A practical guide to heavy tails: statistical techniques and applications Birkhauser Boston 177 217 Taqqu MS, Teverosvsky V (1998) On estimating the intensity of long-range dependence in finite and infinite variance time series. In: Adler R, Feidman R, Taqqu MS (eds) A practical guide to heavy tails: statistical techniques and applications. Birkhauser, Boston, pp 177–217
42. T Thornton D Gilden 2005 Provenance of correlations in psychological data Psychon Bull Rev 12 409 441 16235626 Thornton T, Gilden D (2005) Provenance of correlations in psychological data. Psychon Bull Rev 12:409–441
43. K Torre D Delignieres L Lemoine 2007 Detection of long-range dependence and estimation of fractal exponents through ARFIMA modelling Br J Math Stat Psychol 60 85 106 17535581 10.1348/000711005X89513 Torre K, Delignieres D, Lemoine L (2007) Detection of long-range dependence and estimation of fractal exponents through ARFIMA modelling. Br J Math Stat Psychol 60:85–106
44. G Orden Van J Holden M Turvey 2003 Self-organization of cognitive performance J Exp Psychol Gen 132 331 350 13678372 10.1037/0096-3445.132.3.331 Van Orden G, Holden J, Turvey M (2003) Self-organization of cognitive performance. J Exp Psychol Gen 132:331–350
45. W Verplanck G Collier J Cotton 1952 Nonindependence of successive responses in measurements of the visual threshold J Exp Psychol 44 273 281 13000069 10.1037/h0054948 1:STN:280:DyaG3s%2FisVCqtg%3D%3D Verplanck W, Collier G, Cotton J (1952) Nonindependence of successive responses in measurements of the visual threshold. J Exp Psychol 44:273–281
46. E-J Wagenmakers S Farrell 2004 AIC model selection using Akaike weights Psychon Bull Rev 11 192 196 15117008 Wagenmakers E-J, Farrell S (2004) AIC model selection using Akaike weights. Psychon Bull Rev 11:192–196
47. E-J Wagenmakers S Farrell R Ratcliff 2004 Estimation and interpretation of 1/ f α noise in human cognition Psychon Bull Rev 11 579 615 15581115 Wagenmakers E-J, Farrell S, Ratcliff R (2004) Estimation and interpretation of 1/ f α noise in human cognition. Psychon Bull Rev 11:579–615
48. E-J Wagenmakers S Farrell R Ratcliff 2005 Human cognition and a pile of sand: a discussion on serial correlation and self-organized criticality J Exp Psychol Gen 132 108 116 10.1037/0096-3445.134.1.108 Wagenmakers E-J, Farrell S, Ratcliff R (2005) Human cognition and a pile of sand: a discussion on serial correlation and self-organized criticality. J Exp Psychol Gen 132:108–116
49. B Weiss PD Coleman RF Green 1955 A stochastic model for the time-ordered dependencies in continuous scale repetitive judgments J Exp Psychol 50 237 244 13263491 10.1037/h0044062 1:STN:280:DyaG28%2FhsFCisQ%3D%3D Weiss B, Coleman PD, Green RF (1955) A stochastic model for the time-ordered dependencies in continuous scale repetitive judgments. J Exp Psychol 50:237–244
50. DM Wolpert Z Gharamani 2000 Computational principles of movement neuroscience Nat Neurosci Suppl 3 1212 1217 10.1038/81497 1:CAS:528:DC%2BD3cXotlKit7k%3D Wolpert DM, Gharamani Z (2000) Computational principles of movement neuroscience. Nat Neurosci Suppl 3:1212–1217
51. DM Wolpert Z. Gharamani M Jordan 1995 An internal model for sensorimotor integration Science 269 1880 1882 7569931 10.1126/science.7569931 1:CAS:528:DyaK2MXotlKqtbw%3D Wolpert DM, Gharamani Z., Jordan M (1995) An internal model for sensorimotor integration. Science 269:1880–1882
52. RS Woodworth 1899 The accuracy of voluntary movement Psychol Rev 3 3, Suppl 13 1 119 Woodworth RS (1899) The accuracy of voluntary movement. Psychol Rev 3(3, Suppl. 13):1–119
53. M Yamada 1996 Temporal control mechanism in equaled interval tapping Appl Hum Sci 15 105 110 10.2114/jpa.15.105 1:STN:280:DyaK28zjtl2jtQ%3D%3D Yamada M (1996) Temporal control mechanism in equaled interval tapping. Appl Hum Sci 15:105–110
54. M Yamada S Yonera 2001 Temporal control mechanism of repetitive tapping with simple rhythmic patterns Acoustical Sci Technol 22 245 252 10.1250/ast.22.245 Yamada M, Yonera S (2001) Temporal control mechanism of repetitive tapping with simple rhythmic patterns. Acoustical Sci Technol 22:245–252