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Influence in Correspondence Analysis

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  • P. Pack
  • I. T. Jolliffe

Abstract

The influence of individual observations in a correspondence analysis is investigated. Two alternative definitions of ‘observation’ are possible. For each definition, expressions are presented for influence on the plotting positions of rows and columns of the contingency table being analysed. Formulae for influence on the corresponding eigenvalues (principal inertias) are also given. There are connections for one definition of observation with results for canonical correlation analysis. An example is discussed in detail.

Suggested Citation

  • P. Pack & I. T. Jolliffe, 1992. "Influence in Correspondence Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 41(2), pages 365-380, June.
    • Handle: RePEc:bla:jorssc:v:41:y:1992:i:2:p:365-380
    DOI: 10.2307/2347568
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    Cited by:

    1. Tanaka, Yutaka & Zhang, Fanghong & Mori, Yuichi, 2003. "Local influence in principal component analysis: relationship between the local influence and influence function approaches revisited," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 143-160, October.

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