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Global Model Analysis of Cognitive Variability
Author(s) -
Gilden David L.
Publication year - 2009
Publication title -
cognitive science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.498
H-Index - 114
eISSN - 1551-6709
pISSN - 0364-0213
DOI - 10.1111/j.1551-6709.2009.01060.x
Subject(s) - residual , generalization , statistical physics , basis (linear algebra) , representativeness heuristic , range (aeronautics) , power law , fractal , mathematics , exponential function , flexibility (engineering) , econometrics , statistics , algorithm , physics , mathematical analysis , engineering , geometry , aerospace engineering
Abstract Residual fluctuations produced in typical experimental methodologies are examined as correlated noises. The effective range of the correlations was assessed by determining whether the decay over look‐back time is better described as a power law or exponential. Both of these decay laws contain free parameters and it is argued that it is not possible to distinguish their models on the basis of simple measures of goodness‐of‐fit. Global analyses that evaluate models on the basis of how well they generalize are conducted. The models are examined in terms of three constructs that all bear on generalization: cross‐validity, flexibility, and representativeness. Quantitative assessment of a large ensemble of data suggests that the correlations decay over time as a power law. The conclusion is that human residual fluctuation is a correlated fractal.