科研成果详情

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
ISSN/eISSN1471-082X
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
DOI10.1177/1471082X0600700104
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
被引频次:16[WOS]   [WOS记录]     [WOS相关记录]
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.
条目包含的文件
条目无相关文件。
个性服务
查看访问统计
谷歌学术
谷歌学术中相似的文章
[Pan, Jianxin]的文章
[MacKenzie, Gilbert]的文章
百度学术
百度学术中相似的文章
[Pan, Jianxin]的文章
[MacKenzie, Gilbert]的文章
必应学术
必应学术中相似的文章
[Pan, Jianxin]的文章
[MacKenzie, Gilbert]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。