Normal probability plots with confidence

Chantarangsi, Wanpen and Liu, Wei and Bretz, Frank and Kiatsupaibul, Seksan and Hayter, Anthony and Wan, Fang (2015) Normal probability plots with confidence. Biometrical Journal, 57 (1). pp. 52-53. ISSN 0323-3847

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Abstract

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 inline image. These simultaneous inline image probability intervals provide therefore an objective mean 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.

Item Type:
Journal Article
Journal or Publication Title:
Biometrical Journal
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2700
Subjects:
ID Code:
79020
Deposited By:
Deposited On:
11 Apr 2016 12:06
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 09:41