Confidence Regions and Approximate p-values for Classical and Non Symmetric Correspondence Analysis

Eric J. Beh and Rosaria Lombardo

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 1, 95-114

Abstract: Recently, a procedure was developed for constructing 100(1–α)% confidence ellipses for points in a low-dimensional plot obtained from performing classical correspondence analysis. This article reviews the construction of confidence regions for classical and non symmetric correspondence analysis and proposes a simple procedure for determining p-values of each of the points in this space. Such features enable the researcher to determine the statistical significance of a category to the association structure between the categorical variables being analyzed. They also reflect the information contained in dimensions higher than those that typically allow for a visual inspection of the association structure.

Date: 2015
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DOI: 10.1080/03610926.2013.768665

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