Premium
Multiple‐Group Logistic Regression Diagnostics
Author(s) -
Lesaffre E.,
Albert A.
Publication year - 1989
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 - 10.2307/2347731
Subject(s) - logistic regression , statistics , group (periodic table) , multinomial logistic regression , mathematics , chemistry , organic chemistry
SUMMARY The regression diagnostics introduced by Pregibon for the dichotomous logistic model are extended to multiple groups viewed as a multivariate generalized linear model. We develop diagnostics which measure the influence of each observation on the performance of the estimated classification rule, thus highlighting possible multivariate outlying and/or influential observations. As an illustration, the diagnostics are applied to enzyme data from liver disease patients. It is shown that multivariate regression diagnostics constitute an indispensable tool for the practitioner to construct appropriate polychotomous logistic models.