Abstract
This paper is motivated by the question of whether dimension analysis is a valid and practical method for the reduction of data in psychology. The paper presents a short introduction to the analysis of chaotic systems by the Grassberger-Procaccia algorithm. General aspects of this method are demonstrated; we tested the limits of dimension analysis depending on signal-to-noise ratio, length of time series, and resolution of measurement. For this purpose, the Hénon map was used as a basic model. The Grassberger-Procaccia algorithm was also applied to a simulated time series of group processes and an empirical time series of smoking behavior. To compensate for artefacts induced by local correlations a revised dimension analysis was performed with the group simulation data. Results suggest that neither group simulation nor cigarette consumption data can be reduced to a low-dimensional deterministic system.
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© 1992 Springer-Verlag Berlin Heidelberg
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Steitz, A., Tschacher, W., Ackermann, K., Revenstorf, D. (1992). Applicability of Dimension Analysis to Data in Psychology. In: Tschacher, W., Schiepek, G., Brunner, E.J. (eds) Self-Organization and Clinical Psychology. Springer Series in Synergetics, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77534-5_20
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DOI: https://doi.org/10.1007/978-3-642-77534-5_20
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