Rank-one and rank-two departures from symmetry

Gower, John C. (2000). Rank-one and rank-two departures from symmetry. Computational Statistics and Data Analysis, 33(2) pp. 177–188.

DOI: https://doi.org/10.1016/S0167-9473(99)00050-X

Abstract

ten Berge (Comput. Statist. Data Anal. 24, 1997, 357–366) distinguished between rank-one and rank-two departures from symmetry. A re-examination suggests that there is no substantive difference between the two approaches unless the type of symmetry is constrained in some way. The relationship between rank and dimensionality in the context of asymmetry is clarified. Implications for diagnostic methods for distinguishing between different models of asymmetry are discussed, paying special attention to additive adjustments to a distance matrix.

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About

• Item ORO ID
• 22686
• Item Type
• Journal Item
• ISSN
• 0167-9473
• Keywords
• asymmetry; skew-symmetry; symmetry; rank; dimension; model-diagnostics; distance models; graphical methods
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2000 Elsevier Science B.V.
• Depositing User
• Sarah Frain