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 |
DOI | 10.1002/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:. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论