An exact method for the multiple comparison of several polynomial regression models with applications in dose-response study

doi:10.1007/s10182-017-0313-4

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	An exact method for the multiple comparison of several polynomial regression models with applications in dose-response study
	Zhou, Sanyu
刊名	ASTA-ADVANCES IN STATISTICAL ANALYSIS
	2018-07
卷号	102 期号:3 页码:413-429
关键词	Simultaneous inference Confidence band Statistical simulation Multiple comparison
ISSN号	1863-8171
DOI	10.1007/s10182-017-0313-4
英文摘要	Research on the multiple comparison during the past 60 years or so has focused mainly on the comparison of several population means. Spurrier (J Am Stat Assoc 94:483-488, 1999) and Liu et al. (J Am Stat Assoc 99:395-403, 2004) considered the multiple comparison of several linear regression lines. They assumed that there was no functional relationship between the predictor variables. For the case of the polynomial regression model, the functional relationship between the predictor variables does exist. This lack of a full utilization of the functional relationship between the predictor variables may have some undesirable consequences. In this article we introduce an exact method for the multiple comparison of several polynomial regression models. This method sufficiently takes advantage of the feature of the polynomial regression model, and therefore, it can quickly and accurately compute the critical constant. This proposed method allows various types of comparisons, including pairwise, many-to-one and successive, and it also allows the predictor variable to be either unconstrained or constrained to a finite interval. The examples from the dose-response study are used to illustrate the method. MATLAB programs have been written for easy implementation of this method.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000439332100005
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/576]
专题	上海财经大学
通讯作者	Zhou, Sanyu
作者单位	Shanghai Univ Finance & Econ, Sch Urban & Reg Sci, Inst Finance & Econ Res, 777 Guoding Rd, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Sanyu. An exact method for the multiple comparison of several polynomial regression models with applications in dose-response study[J]. ASTA-ADVANCES IN STATISTICAL ANALYSIS,2018,102(3):413-429.
APA	Zhou, Sanyu.(2018).An exact method for the multiple comparison of several polynomial regression models with applications in dose-response study.ASTA-ADVANCES IN STATISTICAL ANALYSIS,102(3),413-429.
MLA	Zhou, Sanyu."An exact method for the multiple comparison of several polynomial regression models with applications in dose-response study".ASTA-ADVANCES IN STATISTICAL ANALYSIS 102.3(2018):413-429.