Understanding and misunderstanding group mean centering: a commentary on Kelley et al.'s dangerous practice

被引:76
作者
Bell, Andrew [1 ]
Jones, Kelvyn [2 ]
Fairbrother, Malcolm [3 ]
机构
[1] Univ Sheffield, Sheffield Methods Inst, 219 Portobello, Sheffield S1 4DP, S Yorkshire, England
[2] Univ Bristol, Sch Geog Sci, Univ Rd, Bristol BS8 1SS, Avon, England
[3] Umea Univ, Dept Sociol, S-90187 Umea, Sweden
基金
英国经济与社会研究理事会;
关键词
Multilevel models; Random effects; Group-mean centering; Mundlak; Fixed effects; MULTILEVEL MODELS; VARIABLES;
D O I
10.1007/s11135-017-0593-5
中图分类号
C [社会科学总论];
学科分类号
03 ; 0303 ;
摘要
Kelley et al. argue that group-mean-centering covariates in multilevel models is dangerous, since-they claim-it generates results that are biased and misleading. We argue instead that what is dangerous is Kelley et al.'s unjustified assault on a simple statistical procedure that is enormously helpful, if not vital, in analyses of multilevel data. Kelley et al.'s arguments appear to be based on a faulty algebraic operation, and on a simplistic argument that parameter estimates from models with mean-centered covariates must be wrong merely because they are different than those from models with uncentered covariates. They also fail to explain why researchers should dispense with mean-centering when it is central to the estimation of fixed effects models-a common alternative approach to the analysis of clustered data, albeit one increasingly incorporated within a random effects framework. Group-mean-centering is, in short, no more dangerous than any other statistical procedure, and should remain a normal part of multilevel data analyses where it can be judiciously employed to good effect.
引用
收藏
页码:2031 / 2036
页数:6
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