2015
DOI: 10.1155/2015/708948
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Data Transformation Technique to Improve the Outlier Detection Power of Grubbs’ Test for Data Expected to Follow Linear Relation

Abstract: Grubbs test (extreme studentized deviate test, maximum normed residual test) is used in various fields to identify outliers in a data set, which are ranked in the order of 1 ≤ 2 ≤ 3 ≤ ⋅ ⋅ ⋅ ≤ ( = 1, 2, 3, . . . , ). However, ranking of data eliminates the actual sequence of a data series, which is an important factor for determining outliers in some cases (e.g., time series). Thus in such a data set, Grubbs test will not identify outliers correctly. This paper introduces a technique for transforming data from … Show more

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Cited by 30 publications
(13 citation statements)
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“…The logtransformation plays a crucial role here, enabling low concentrations with values of tenths and hundredths of mg/l or µg/l to be separated from each other. This gives the method added value over outlier detection methods that do not use log-transformation (Adikaram et al, 2015;Wang et al, 2020).…”
Section: Discussionmentioning
confidence: 99%
“…The logtransformation plays a crucial role here, enabling low concentrations with values of tenths and hundredths of mg/l or µg/l to be separated from each other. This gives the method added value over outlier detection methods that do not use log-transformation (Adikaram et al, 2015;Wang et al, 2020).…”
Section: Discussionmentioning
confidence: 99%
“…normality can be assumed). We did not perform this test on groups with less than seven data points [49]. We used the 'grubbs.test' function royalsocietypublishing.org/journal/rspb Proc.…”
Section: (D) Statistical Analysesmentioning
confidence: 99%
“…In the statistical calculation method of eliminating outliers, the Grubbs test is not only applicable to the abandonment of one or more suspicious values in a group of data, but also applicable to the limited number of determinations. It is the most reliable test method for the determination of suspicious values (Adikaram et al, 2015).…”
Section: The Influence Of Laboratory Mixing Technology On Voids and Smentioning
confidence: 99%