Robust correspondence analysis. Issue 5 (27th July 2022)

• Record Type: Journal Article
• Authors: Riani, Marco; Atkinson, Anthony C.; Torti, Francesca; Corbellini, Aldo
• Is Part Of: Journal of the Royal Statistical Society. Volume 71:Issue 5(2022)
• Page Start: 1381
• Page End: 1401
• Publication Date: 2022-07-27
• Subjects: automobile comparisons -- contingency table analysis -- informative plotting -- minimum covariance determinant estimation -- outlier detection -- robustness; Statistics -- Periodicals; 519.5
• DOI: 10.1111/rssc.12580
• Languages: English
• ISSNs: 0035-9254

Abstract

Abstract: Correspondence analysis is a method for the visual display of information from two‐way contingency tables. We introduce a robust form of correspondence analysis based on minimum covariance determinant estimation. This leads to the systematic deletion of outlying rows of the table and to plots of greatly increased informativeness. Our examples are trade flows of clothes and consumer evaluations of the perceived properties of cars. The robust method requires that a specified proportion of the data be used in fitting. To accommodate this requirement we provide an algorithm that uses a subset of complete rows and one row partially, both sets of rows being chosen robustly. We prove the convergence of this algorithm.