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Percentage Points for a Generalized ESD Many-Outlier Procedure
Abstract
A generalized (extreme Studentized deviate) ESD many-outlier procedure is given for detecting from 1 to k outliers in a data set. This procedure has an advantage over the original ESD many-outlier procedure (Rosner 1975) in that it controls the type I error both under the hypothesis of no outliers and under the alternative hypotheses of 1, 2, …. k-l outliers. A method is given for approximating percentiles for this procedure based on the t distribution. This method is shown to be adequately accurate using Monte Carlo simulation, for detecting up to 10 outliers in samples as small as 25. Tables are given for implementing this method for n = 25(1)50(10)100(50)500; k = 10, α = .05, .Ol, .005.
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Cites
Hawkins, D. M. (1980) · doi:10.1007/978-94-015-3994-4 · Cited by 2,982
Sample criteria for testing outlying observations
Grubbs, F. E. (1950) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729885 · Cited by 1,631
Cited by
Chandola, V., Banerjee, A., & Kumar, V. (2009) · ACM Computing Surveys · doi:10.1145/1541880.1541882 · Cited by 11,687
Inferring tumour purity and stromal and immune cell admixture from expression data
Yoshihara, K., Shahmoradgoli, M., Martínez, E., Vegesna, R., Kim, H., Torres-Garcia, W., Treviño, V., Shen, H., Laird, P. W., Levine, D. A., et al. (2013) · Nature Communications · doi:10.1038/ncomms3612 · Cited by 9,778
Fine-Tuning Some Resistant Rules for Outlier Labeling
Hoaglin, D. C., & Iglewicz, B. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478551 · Cited by 1,211
The identification of multiple outliers
Davies, L., & Gather, U. (1993) · Journal of the American Statistical Association · doi:10.1080/01621459.1993.10476339 · Cited by 709
Rapid DNA methylation changes after exposure to traffic particles
Baccarelli, A., Wright, R. O., Bollati, V., Tarantini, L., Litonjua, A. A., Suh, H. H., Zanobetti, A., Sparrow, D., Vokonas, P. S., & Schwartz, J. (2009) · American Journal of Respiratory and Critical Care Medicine · doi:10.1164/rccm.200807-1097oc · Cited by 653
Metadata
- Authors
- Rosner, B.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1983-05
- Volume
- 25
- Issue
- 2
- Pages
- 165-172
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W1969456163
- Cited by
- 1,268
- References
- 2
- FWCI
- 0.97
- Type
- journal article
- Language
- en
- Open access
- closed
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