Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 9, Iss. 4, October, 2005, pp. 435-461
@2005 Society for Chaos Theory in Psychology & Life Sciences


Methodological Issues in the Application of Monofractal Analyses in Psychological and Behavioral Research

Didier Delignières, University of Montpellier I, France
Kjerstin Torre, University of Montpellier I, France
Loïc Lemoine, University of Montpellier I, France

Abstract: A number of recent research works tried to apply fractal methods to psychological or behavioral variables. Quite often, nevertheless, the use of fractal analyses remains rudimentary, and the goal of researchers seems limited to evidencing the presence of long- range correlation in data sets. This article presents some recent developments in monofractals theory, and some related methodological refinements. We also discuss a number of specific issues related to the application of fractal methods in psychological and behavioral research. Finally, we consider the potential use of such approach for a renewal of classical issues in psychology and behavioral science.

Keywords: fractal analysis, fractional Gaussian noise, fractional Brownian motion, Hurst exponent, series length