发表状态 | 已发表Published |
题名 | Modelling conditional covariance in the linear mixed model |
作者 | |
发表日期 | 2007 |
发表期刊 | Statistical Modelling
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ISSN/eISSN | 1471-082X |
卷号 | 7期号:1页码:49-71 |
摘要 | We provide a data-driven method for modelling the conditional, within-subject covariance matrix arising in linear mixed models (Laird and Ware, 1982). Given an agreed structure for the between-subject covariance matrix we use a regression equation approach to model the within-subject covariance matrix. Using an EM algorithm we estimate all of the parameters in the model simultaneously and obtain analytical expressions for the standard errors. By re-analyzing Kenward's (1987) cattle data, we compare our new model with classical menu-selection-based modelling techniques, demonstrating its superiority using the Bayesian Information Criterion. We also conduct a simulation study, which confirms our observational findings. The paper extends our previous covariance modelling work (Pan and MacKenzie, 2003, 2006) to the conditional covariance space of the linear mixed model (LMM). © 2007 SAGE Publications. |
关键词 | Cholesky decomposition Conditional covariance EM algorithm Joint mean-covariance models Linear mixed models Longitudinal data |
DOI | 10.1177/1471082X0600700104 |
URL | 查看来源 |
收录类别 | SCIE |
语种 | 英语English |
WOS研究方向 | Mathematics |
WOS类目 | Statistics & Probability 2.039 |
WOS记录号 | WOS:000248921200003 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/5060 |
专题 | 个人在本单位外知识产出 |
作者单位 | 1.School of Mathematics, University of Manchester, Manchester, United Kingdom 2.Centre of Biostatistics, University of Limerick, Limerick, Ireland |
推荐引用方式 GB/T 7714 | Pan, Jianxin,MacKenzie, Gilbert. Modelling conditional covariance in the linear mixed model[J]. Statistical Modelling, 2007, 7(1): 49-71. |
APA | Pan, Jianxin, & MacKenzie, Gilbert. (2007). Modelling conditional covariance in the linear mixed model. Statistical Modelling, 7(1), 49-71. |
MLA | Pan, Jianxin,et al."Modelling conditional covariance in the linear mixed model". Statistical Modelling 7.1(2007): 49-71. |
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