Marginal versus joint Box-Cox transformation with applications to percentile curve construction for IgG subclasses and blood pressures

doi:10.1002/sim.1305

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	Marginal versus joint Box-Cox transformation with applications to percentile curve construction for IgG subclasses and blood pressures
	He, XM ; Ng, KW ; Shi, J
	2003-02-15
发表期刊	STATISTICS IN MEDICINE
ISSN	0277-6715
卷号	22 期号:3 页码:397-408
摘要	When age-specific percentile curves are constructed for several correlated variables, the marginal method of handling one variable at a time has typically been used. We address the question, frequently asked by practitioners, of whether we can achieve efficiency gains by joint estimation. We focus on a simple but common method of Box-Cox transformation and assess the statistical impact of a joint transformation to multivariate normality on the percentile curve estimation for correlated variables. We find that there is little gain from the joint transformation for estimating percentiles around the median but a noticeable reduction in variances is possible for estimating extreme percentiles that are usually of main interest in medical and biological applications. Our study is motivated by problems in constructing percentile charts for IgG subclasses of children and for blood pressures in adult populations, both of which are discussed in the paper as examples, and yet our general findings are applicable to a wide range of other problems. Copyright (C) 2003 John Wiley Sons, Ltd.
关键词	Box-Cox joint transformation percentile curves IgG blood pressures
DOI	10.1002/sim.1305
语种	英语
WOS研究方向	Mathematical & Computational Biology ; Public, Environmental & Occupational Health ; Medical Informatics ; Research & Experimental Medicine ; Mathematics
WOS类目	Mathematical & Computational Biology ; Public, Environmental & Occupational Health ; Medical Informatics ; Medicine, Research & Experimental ; Statistics & Probability
WOS记录号	WOS:000180723000005
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18729
专题	中国科学院数学与系统科学研究院
通讯作者	Ng, KW
作者单位	1.Univ Hong Kong, Dept Stat & Actuarial Sci, Hong Kong, Hong Kong, Peoples R China 2.Univ Illinois, Dept Stat, Chicago, IL 60680 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	He, XM,Ng, KW,Shi, J. Marginal versus joint Box-Cox transformation with applications to percentile curve construction for IgG subclasses and blood pressures[J]. STATISTICS IN MEDICINE,2003,22(3):397-408.
APA	He, XM,Ng, KW,&Shi, J.(2003).Marginal versus joint Box-Cox transformation with applications to percentile curve construction for IgG subclasses and blood pressures.STATISTICS IN MEDICINE,22(3),397-408.
MLA	He, XM,et al."Marginal versus joint Box-Cox transformation with applications to percentile curve construction for IgG subclasses and blood pressures".STATISTICS IN MEDICINE 22.3(2003):397-408.