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Procedures for Detecting Outlying Observations in Samples

Frank E. Grubbs
Technometrics
Vol. 11, No. 1 (Feb., 1969), pp. 1-21
DOI: 10.2307/1266761
Stable URL: http://www.jstor.org/stable/1266761
Page Count: 21
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Procedures for Detecting Outlying Observations in Samples
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Abstract

Procedures are given for determining statistically whether the highest observation, the lowest observation, the highest and lowest observations, the two highest observations, the two lowest observations, or more of the observations in the sample are statistical outliers. Both the statistical formulae and the application of the procedures to examples are given, thus representing a rather complete treatment of tests for outliers in single samples. This paper has been prepared primarily as an expository and tutorial article on the problem of detecting outlying observations in much experimental work. We cover only tests of significance in this paper.

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