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Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography
Published on: June 15, 2018
Measuring self-complexity: a critical analysis of Linville's H statistic
Wenshu Luo1, David Watkins, Raymond Y H Lam
1Centre for Research in Pedagogy and Practice (CRPP), National Institute of Education, 1 Nanyang Walk, Singapore 637616. wenshu.luo@nie.edu.sg
Abstract:
The paper argues that the most commonly used measure of self-complexity, Linville's H statistic, cannot measure this construct appropriately. It first examines the mathematical properties of H and its relationships with five related indices: the number of self-aspects, the overlap among self-aspects, the average inter-aspect correlation, the ratio of endorsement, and the HICLAS attribute class number. Then, a demonstration study using simulations is reported. Three conclusions are drawn. H and the HICLAS attribute class number are similar in the way they are calculated. Both indices are highly related to the number of self-aspects, while their relationship to overlap is not monotonic. Overlap is affected by the ratio of endorsement and the average inter-aspect correlation but cannot represent the notion of redundancy among traits which directly determines Linville's H statistic. These conclusions are employed to explain the inconsistent findings relating self-complexity and adaptation and an alternative measurement approach is proposed.
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