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Data reduction analyses of animal behaviour: avoiding Kaiser's criterion and adopting more robust automated methods

Morton, F. Blake; Altschul, Drew

Authors

Drew Altschul



Abstract

Data reduction analyses such as principal components and exploratory factor analyses identify relationships within a set of potentially correlated variables, and cluster correlated variables into a smaller overall quantity of groupings. Because of their relative objectivity, these analyses are popular throughout the animal literature to study a wide variety of topics. Numerous authors have highlighted ‘best practice’ guidelines for component/factor ‘extraction’, i.e. determining how many components/factors to extract from a data reduction analysis, because this can greatly impact the interpretation, comparability and replicability of one’s results. Statisticians agree that Kaiser’s criterion, i.e. extracting components/factors with eigenvectors >1.0, should never be used, yet, within the animal literature, a considerable number of authors still use it, even as recently as 2018 and across a wide range of taxa (e.g. insects, birds, fish, mammals) and topics (e.g. personality, cognition, health, morphology, reproduction). It is therefore clear that further awareness is needed to target the animal sciences to ensure that results optimize structural stability and, thus, comparability and reproducibility. In this commentary, we first clarify the distinction between principal components and exploratory factor analyses in terms of analysing simple versus complex structures, and how this relates to component/factor extraction. Second, we highlight empirical evidence from simulation studies to explain why certain extraction methods are more reliable than others, including why automated methods are better, and why Kaiser’s criterion is inappropriate and should therefore never be used. Third, we provide recommendations on what to do if multiple automated extraction methods ‘disagree’ which can arise when dealing with complex structures. Finally, we explain how to perform and interpret more robust and automated extraction tests using R.

Citation

Morton, F. B., & Altschul, D. (2019). Data reduction analyses of animal behaviour: avoiding Kaiser's criterion and adopting more robust automated methods. Animal behaviour, 149, 89-95. https://doi.org/10.1016/j.anbehav.2019.01.003

Journal Article Type Note
Acceptance Date Dec 14, 2018
Online Publication Date Feb 19, 2019
Publication Date 2019-03
Deposit Date Feb 5, 2019
Publicly Available Date Feb 6, 2019
Journal Animal Behaviour
Print ISSN 0003-3472
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 149
Pages 89-95
DOI https://doi.org/10.1016/j.anbehav.2019.01.003
Keywords Factor analysis; Kaiser's criterion; Parallel analysis; Principal components analysis; Scree plot
Public URL https://hull-repository.worktribe.com/output/1277887
Publisher URL https://www.sciencedirect.com/science/article/pii/S0003347219300041

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