Sankhya: The Indian Journal of Statistics

2000, Volume 62, Series A, Pt. 1, pp. 144--149

A CONNECTION BETWEEN LOCAL AND DELETION INFLUENCE

By

M. MERCEDES SUÁREZ RANCEL and MIGUEL A. GONZÁLEZ SIERRA, University of La Laguna, Spain

SUMMARY. In this paper we show that the influence approach of Hadi (1992) for overall potential influence of a subset of observations, is closely related to a variant of Cook's (1986) absolute measure of local influence. This result indicates that the structure of the local influence concept is quite useful for identifying influential subset, and provides a further justification for local influence analysis.

AMS (1991) subject classification. 62J20.

Key words and phrases. Case deletion, Hadi's measure, local influence, masking, regression, swamping.

Full paper (PDF)