Influence diagnostics and outlier tests for varying coefficient mixed models

Zaixing Li, Wangli Xu and Lixing Zhu

Journal of Multivariate Analysis, 2009, vol. 100, issue 9, 2002-2017

Abstract: In this paper, we consider subset deletion diagnostics for fixed effects (coefficient functions), random effects and one variance component in varying coefficient mixed models (VCMMs). Some simple updated formulas are obtained, and based on which, Cook's distance, joint influence and conditional influence are also investigated. Besides, since mean shift outlier models (MSOMs) are also efficient to detect outliers, we establish an equivalence between deletion models and MSOMs, which is not only suitable for fixed effects but also for random effects, and test statistics for outliers are then constructed. As a byproduct, we obtain the nonparametric "delete = replace" identity. Our influence diagnostics methods are illustrated through a simulated example and a real data set.

Keywords: Conditional; influence; Cook's; distance; "Delete=Replace"; identity; Influence; diagnostics; Joint; influence; Outlier; tests (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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