In the literature, many influence measures proposed for Generalized Linear Mixed Models (GLMMs) require the information matrix that can be difficult to calculate. In the present paper, a known influence measure is approximated to get a simpler form, for which the information matrix is no more necessary. The proposed measure is showed to have a form similar to the gradient statistic, recently introduced. Good performances have been obtained through simulation studies.
Enea, M., Plaia, A. (2013). Influence diagnostics for generalized linear mixed models: a gradient-like statistic. In Cladag 2013 9th Meeting of the Classification and Data Analysis Group: Book of Abstracts (pp.178-181).
Influence diagnostics for generalized linear mixed models: a gradient-like statistic
ENEA, Marco;PLAIA, Antonella
2013-01-01
Abstract
In the literature, many influence measures proposed for Generalized Linear Mixed Models (GLMMs) require the information matrix that can be difficult to calculate. In the present paper, a known influence measure is approximated to get a simpler form, for which the information matrix is no more necessary. The proposed measure is showed to have a form similar to the gradient statistic, recently introduced. Good performances have been obtained through simulation studies.
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