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Normal probability plots with confidence
Chantarangsi, Wanpen1,2; Liu, Wei1,2; Bretz, Frank3,4; Kiatsupaibul, Seksan5; Hayter, Anthony J.6; Wan, Fang1,2
2015-01
关键词Graphical method Hypotheses testing Normal distribution Normal probability plot Power Simultaneous inference.
卷号57
期号1
DOI10.1002/bimj.201300244
页码52-63
英文摘要Normal probability plots are widely used as a statistical tool for assessing whether an observed simple random sample is drawn from a normally distributed population. The users, however, have to judge subjectively, if no objective rule is provided, whether the plotted points fall close to a straight line. In this paper, we focus on how a normal probability plot can be augmented by intervals for all the points so that, if the population distribution is normal, then all the points should fall into the corresponding intervals simultaneously with probability 1 - alpha. These simultaneous 1 - alpha probability intervals provide therefore an objectivemean to judge whether the plotted points fall close to the straight line: the plotted points fall close to the straight line if and only if all the points fall into the corresponding intervals. The powers of several normal probability plot based (graphical) tests and the most popular nongraphical Anderson-Darling and Shapiro-Wilk tests are compared by simulation. Based on this comparison, recommendations are given in Section 3 on which graphical tests should be used in what circumstances. An example is provided to illustrate the methods.
会议录出版者WILEY-BLACKWELL
会议录出版地111 RIVER ST, HOBOKEN 07030-5774, NJ USA
语种英语
WOS研究方向Mathematical & Computational Biology ; Mathematics
WOS记录号WOS:000347536500005
内容类型会议论文
源URL[http://10.2.47.112/handle/2XS4QKH4/3046]  
专题上海财经大学
作者单位1.Univ Southampton, S3RI, Southampton SO17 1TB, Hants, England;
2.Univ Southampton, Sch Math, Southampton SO17 1TB, Hants, England;
3.Novartis Pharma AG, Basel, Switzerland;
4.Shanghai Univ Finance & Econ, Shanghai, Peoples R China;
5.Chulalongkorn Univ, Dept Stat, Bangkok, Thailand;
6.Univ Denver, Dept Business Informat & Analyt, Denver, CO 80208 USA
推荐引用方式
GB/T 7714
Chantarangsi, Wanpen,Liu, Wei,Bretz, Frank,et al. Normal probability plots with confidence[C]. 见:.
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