Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 518-527.

• Articles • Previous Articles     Next Articles

Local Influential Analysis in Contingency Tables

 HE Li-Ping2, SHI Lei2   

  1. 1.Faculty of Public Health, Kunming Medical University, Kunming 650031|2.Statistics and Mathematics College, Yunnan University of Finance and Economics, Kunming 650221
  • Received:2008-12-05 Revised:2010-03-29 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10761010)、国家社科基金(XTJ001)和云南省自然科学基金资助

Abstract:

This paper studies the local influence in contingency tables. Based on power-divergence statistics, the I distance function, associated influential graph and the conformal normal curvature are constructed, and a new local influence method is proposed to detect the influential cells in r×c contingency table. The results are applied to detect the influential observations in the independent model of the contingency tables. Finally an example  is used for illustration.

Key words: Discrete data, Local influence, Power-divergence statistics, Contingence table,  distance function, Conformal normal curvature

CLC Number: 

  • 62F03
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