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Improved Added Variable and Partial Residual Plots for the Detection of Influential Observations in Generalized Linear Models
Author(s) -
Hines R.J. O'Hara,
Carter E. M.
Publication year - 1993
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2347405
Subject(s) - residual , mathematics , variable (mathematics) , statistics , generalized linear model , econometrics , algorithm , mathematical analysis
SUMMARY The added variable plots proposed by Pregibon and Wang and the partial residual plots proposed by Pregibon and Landwehr and co‐workers for generalized linear models have been found useful for examining the relationship between the dependent variable and an independent variable; however, they can give misleading impressions about influential observations. Alternative procedures in which the plots are based on the full rather than the reduced model, or on weighted rather than unweighted variables, prove to be more informative about such observations, giving information which is consistent with Pregibon's influence diagnostics in generalized linear models.