Causality, Criticality, and Reading Words: Distinct Sources of Fractal Scaling in Behavioral Sequences

Cognitive Science 35 (5):785-837 (2011)
The finding of fractal scaling (FS) in behavioral sequences has raised a debate on whether FS is a pervasive property of the cognitive system or is the result of specific processes. Inferences about the origins of properties in time sequences are causal. That is, as opposed to correlational inferences reflecting instantaneous symmetrical relations, causal inferences concern asymmetric relations lagged in time. Here, I integrate Granger-causality with inferences about FS. Four simulations illustrate that causal analyses can isolate distinct FS sources, whereas correlational techniques cannot. I then analyze three simultaneous sequences of responses from a database of word-naming trials. I find that two, or perhaps three, distinct sources account for the presence of FS in these sequences, but FS is not a general property of the system. This suggests that FS arises due to the properties of a limited number of identifiable psychological and/or neural processes. Finally, I reanalyze a previously published dataset of acoustic frequency spectra using the new tools. The causality/criticality combination introduced here offers a new important perspective in the study of cognition
Keywords Word naming  Bayesian assessment of scaling  Transfer entropy  Reaction time  Fractal scaling  Granger causality
Categories (categorize this paper)
DOI 10.1111/j.1551-6709.2011.01184.x
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,182
Through your library
References found in this work BETA
A Mathematical Theory of Communication.Claude Shannon - 1948 - Bell System Technical Journal 27:379–423.
Self-Organization of Cognitive Performance.Guy C. Van Orden, John G. Holden & Michael T. Turvey - 2003 - Journal of Experimental Psychology: General 132 (3):331.
Cortical Coordination Dynamics and Cognition.S. L. Bressler & J. A. Kelso - 2001 - Trends in Cognitive Sciences 5 (1):26-36.

Add more references

Citations of this work BETA

Add more citations

Similar books and articles
A Theory of Probability.T. V. Reeves - 1988 - British Journal for the Philosophy of Science 39 (2):161-182.
General Random Sequences and Learnable Sequences.C. P. Schnorr & P. Fuchs - 1977 - Journal of Symbolic Logic 42 (3):329-340.
Process Causality and Asymmetry.Phil Dowe - 1992 - Erkenntnis 37 (2):179-196.
Relative Lawlessness in Intuitionistic Analysis.Joan Rand Moschovakis - 1987 - Journal of Symbolic Logic 52 (1):68-88.
Similarity Among Nucleotides Sequences.Feng Shi & Zhongxi Mo - 2002 - Acta Biotheoretica 50 (2):95-99.
Reducing Causality to Transmission.Max Kistler - 1998 - Erkenntnis 48 (1):1-25.
The Metaphysics of Causation.Jonathan Schaffer - 2008 - Stanford Encyclopedia of Philosophy.
Infinite Sequences: Finitist Consequence.Martin C. Cooke - 2003 - British Journal for the Philosophy of Science 54 (4):591-599.
Creative Sequences and Double Sequences.M. Adrian Carpentier - 1968 - Notre Dame Journal of Formal Logic 9 (1):35-61.

Monthly downloads

Added to index


Total downloads

23 ( #219,746 of 2,172,023 )

Recent downloads (6 months)

6 ( #46,502 of 2,172,023 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums