Title
Influence diagnostics and outlier tests for varying coefficient mixed models
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.
Year
DOI
Venue
2009
10.1016/j.jmva.2009.06.008
J. Multivariate Analysis
Keywords
Field
DocType
joint influence,influence diagnostics,conditional influence,62g10,outlier tests,secondary,outlier test,62g35,random effect,subset deletion diagnostics,fixed effect,coefficient mixed model,“delete=replace” identity,deletion model,primary,62g08,coefficient function,mean shift outlier model,influence diagnostics method,cook’s distance,cook s distance,mixed model,mean shift,random effects,fixed effects
Econometrics,Random effects model,Conditional probability distribution,Test statistic,Outlier,Nonparametric statistics,Mixed model,Cook's distance,Statistics,Mathematics,Random function
Journal
Volume
Issue
ISSN
100
9
Journal of Multivariate Analysis
Citations 
PageRank 
References 
1
0.46
0
Authors
3
Name
Order
Citations
PageRank
Zaixing Li110.46
Wangli Xu296.40
Lixing Zhu311634.41