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Discriminant Function Analyses In Archaeology: Are Classification Rates Too Good To Be True?

Kovarovic, K.; Aiello, L.C.; Cardini, A.; Lockwood, C.A.

Authors

L.C. Aiello

A. Cardini

C.A. Lockwood



Abstract

The use of discriminant function analyses (DFA) in archaeological and related research is on the increase, however many of the assumptions of this method receive a mixed treatment in the literature. Statisticians frequently use complex statistical models to investigate analytical parameters, but such idealised datasets may be hard to relate to “real-life” examples and the literature difficult to assess. Using two faunal datasets that are more typical of archaeological and related research, one comprised of size-corrected linear measurements of bovid humeri and another of 3D geometric morphometric (GMM) shape data of African monkey skulls, and two simulated datasets, we illustrate some of the most important but often ignored issues of DFA. We specifically show why it is paramount to address “over-fitting” by cross-validation when applying this method and how the probability of correctly classifying cases by chance can be properly and explicitly taken into account.

Journal Article Type Article
Publication Date Jan 1, 2011
Deposit Date Jun 28, 2011
Journal Journal of Archaeological Science
Print ISSN 0305-4403
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 38
Issue 11
Pages 3006-3018
DOI https://doi.org/10.1016/j.jas.2011.06.028
Keywords Discriminant function analysis, Resampling, Over-fitting Cross-validation, Classification accuracy.
Public URL https://durham-repository.worktribe.com/output/1508202