A gradient-based deletion diagnostic measure for generalized linear mixed models

ABSTRACT

A gradient-statistic-based diagnostic measure is developed in the context of the generalized linear mixed models. Its performance is assessed by some real examples and simulation studies, in terms of ability in detecting influential data structures and of concordance with the most used influence measures.

KEYWORDS:

• Influence
• Outliers
• Deletion diagnostics
• GLMM
• Gradient statistic

MATHEMATICS SUBJECT CLASSIFICATION:

• 62J20

Acknowledgments

The authors are very grateful to Vito Muggeo for his useful suggestions.