Modified boxplot for extreme data
A boxplot is an exploratory data analysis (EDA) tool for a compact distributional summary of a data set. It is designed to captures all typical observations and displays the location, spread, skewness and the tail of the data. The precision of some of this functionality is considered to be more reli...
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2016
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Online Access: | http://psasir.upm.edu.my/id/eprint/57312/1/Modified%20boxplot%20for%20extreme%20data.pdf http://psasir.upm.edu.my/id/eprint/57312/ |
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my.upm.eprints.573122017-09-26T04:02:36Z http://psasir.upm.edu.my/id/eprint/57312/ Modified boxplot for extreme data Babura, Babangida Ibrahim Adam, Mohd Bakri Fitrianto, Anwar Abdul Samad, Abdul Rahim A boxplot is an exploratory data analysis (EDA) tool for a compact distributional summary of a data set. It is designed to captures all typical observations and displays the location, spread, skewness and the tail of the data. The precision of some of this functionality is considered to be more reliable for symmetric data type and thus less appropriate for skewed data such as the extreme data. Many observations from extreme data were erroneously marked as outliers by the Tukeys standard boxplot. We proposed a modified boxplot fence adjustment using the Bowley coefficient, a robust skewness measure. The adjustment will enable us to detect inconsistent observations without any parametric assumption about the distribution of the data. The new boxplot is capable of displaying some additional features such as the location parameter region of the Gumbel fitted extreme data. A simulated and real life data were used to show the advantages of this development over those found in the literature. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57312/1/Modified%20boxplot%20for%20extreme%20data.pdf Babura, Babangida Ibrahim and Adam, Mohd Bakri and Fitrianto, Anwar and Abdul Samad, Abdul Rahim (2016) Modified boxplot for extreme data. In: 3rd ISM International Statistical Conference 2016 (ISM III), 9-11 Aug. 2016, Institute of Mathematical Sciences, University of Malaya. (pp. 1-9). 10.1063/1.4982872 |
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A boxplot is an exploratory data analysis (EDA) tool for a compact distributional summary of a data set. It is designed to captures all typical observations and displays the location, spread, skewness and the tail of the data. The precision of some of this functionality is considered to be more reliable for symmetric data type and thus less appropriate for skewed data such as the extreme data. Many observations from extreme data were erroneously marked as outliers by the Tukeys standard boxplot. We proposed a modified boxplot fence adjustment using the Bowley coefficient, a robust skewness measure. The adjustment will enable us to detect inconsistent observations without any parametric assumption about the distribution of the data. The new boxplot is capable of displaying some additional features such as the location parameter region of the Gumbel fitted extreme data. A simulated and real life data were used to show the advantages of this development over those found in the literature. |
format |
Conference or Workshop Item |
author |
Babura, Babangida Ibrahim Adam, Mohd Bakri Fitrianto, Anwar Abdul Samad, Abdul Rahim |
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Babura, Babangida Ibrahim Adam, Mohd Bakri Fitrianto, Anwar Abdul Samad, Abdul Rahim Modified boxplot for extreme data |
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Babura, Babangida Ibrahim Adam, Mohd Bakri Fitrianto, Anwar Abdul Samad, Abdul Rahim |
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Babura, Babangida Ibrahim |
title |
Modified boxplot for extreme data |
title_short |
Modified boxplot for extreme data |
title_full |
Modified boxplot for extreme data |
title_fullStr |
Modified boxplot for extreme data |
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Modified boxplot for extreme data |
title_sort |
modified boxplot for extreme data |
publisher |
AIP Publishing |
publishDate |
2016 |
url |
http://psasir.upm.edu.my/id/eprint/57312/1/Modified%20boxplot%20for%20extreme%20data.pdf http://psasir.upm.edu.my/id/eprint/57312/ |
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