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Using observed confidence levels to perform principal component analyses

Alan M. Polansky and Santu Ghosh

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 12, 3596-3611

Abstract: This paper focuses on applying the method of observed confidence levels to problems commonly encountered in principal component analyses. In particular, we focus on assigning levels of confidence to the number of components that explain a specified proportion of variation in the original data. Approaches based on the normal model as well as a non parametric model are explored. The usefulness of the methods are discussed using an example and an empirical study.

Date: 2016
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DOI: 10.1080/03610926.2014.904356

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