A new single linkage robust clustering outlier detection procedures for multivariate data
Outliers are abnormal data, and the detection of outliers in multivariate data has always been of interest. Unlike univariate data, outlier detection for multivariate data is insufficient with a visual inspection. In this study, we developed a new single linkage robust clustering outlier detection p...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English English |
Published: |
Penerbit Universiti Kebangsaan Malaysia
2023
|
Subjects: | |
Online Access: | http://umpir.ump.edu.my/id/eprint/40889/1/A%20new%20single%20linkage%20robust%20clustering%20outlier%20detection.pdf http://umpir.ump.edu.my/id/eprint/40889/2/A%20new%20single%20linkage%20robust%20clustering%20outlier%20detection%20procedures%20for%20multivariate%20data_ABS.pdf |
_version_ | 1825815578109018112 |
---|---|
author | Sharifah Sakinah, Syed Abd Mutalib Siti Zanariah, Satari Wan Nur Syahidah, Wan Yusoff |
author_facet | Sharifah Sakinah, Syed Abd Mutalib Siti Zanariah, Satari Wan Nur Syahidah, Wan Yusoff |
author_sort | Sharifah Sakinah, Syed Abd Mutalib |
collection | UMP |
description | Outliers are abnormal data, and the detection of outliers in multivariate data has always been of interest. Unlike univariate data, outlier detection for multivariate data is insufficient with a visual inspection. In this study, we developed a new single linkage robust clustering outlier detection procedure for multivariate data. A robust estimator, Test on Covariance (TOC) is used to robustified the similarity distance measure, producing robust single linkage clustering. The performance of the new single linkage robust clustering outlier detection procedure is investigated via a simulation study using three outlier scenarios and historical multivariate datasets as illustrative examples. Three performance measures are used, which are pout, pmask, and pswamp. The performance of the new single linkage robust clustering procedure also compared with single linkage clustering using Euclidean and Mahalanobis distances as similarity distance measures as well as TOC. It is found that the new single linkage robust clustering procedure performs well in Outlier Scenario 3 when the mean and covariance matrix are shifted. The new procedure also performs well by successfully detecting all outliers, does not have masking effects in two out of five datasets and does not have swamping effect in all datasets. In conclusion, the new single linkage robust clustering outlier detection procedure is a practical and promising approach and good for simultaneously identifying multiple outliers in multivariate data. |
first_indexed | 2024-09-25T03:48:32Z |
format | Article |
id | UMPir40889 |
institution | Universiti Malaysia Pahang |
language | English English |
last_indexed | 2024-09-25T03:48:32Z |
publishDate | 2023 |
publisher | Penerbit Universiti Kebangsaan Malaysia |
record_format | dspace |
spelling | UMPir408892024-05-28T08:04:38Z http://umpir.ump.edu.my/id/eprint/40889/ A new single linkage robust clustering outlier detection procedures for multivariate data Sharifah Sakinah, Syed Abd Mutalib Siti Zanariah, Satari Wan Nur Syahidah, Wan Yusoff Q Science (General) QA Mathematics Outliers are abnormal data, and the detection of outliers in multivariate data has always been of interest. Unlike univariate data, outlier detection for multivariate data is insufficient with a visual inspection. In this study, we developed a new single linkage robust clustering outlier detection procedure for multivariate data. A robust estimator, Test on Covariance (TOC) is used to robustified the similarity distance measure, producing robust single linkage clustering. The performance of the new single linkage robust clustering outlier detection procedure is investigated via a simulation study using three outlier scenarios and historical multivariate datasets as illustrative examples. Three performance measures are used, which are pout, pmask, and pswamp. The performance of the new single linkage robust clustering procedure also compared with single linkage clustering using Euclidean and Mahalanobis distances as similarity distance measures as well as TOC. It is found that the new single linkage robust clustering procedure performs well in Outlier Scenario 3 when the mean and covariance matrix are shifted. The new procedure also performs well by successfully detecting all outliers, does not have masking effects in two out of five datasets and does not have swamping effect in all datasets. In conclusion, the new single linkage robust clustering outlier detection procedure is a practical and promising approach and good for simultaneously identifying multiple outliers in multivariate data. Penerbit Universiti Kebangsaan Malaysia 2023-08 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/40889/1/A%20new%20single%20linkage%20robust%20clustering%20outlier%20detection.pdf pdf en http://umpir.ump.edu.my/id/eprint/40889/2/A%20new%20single%20linkage%20robust%20clustering%20outlier%20detection%20procedures%20for%20multivariate%20data_ABS.pdf Sharifah Sakinah, Syed Abd Mutalib and Siti Zanariah, Satari and Wan Nur Syahidah, Wan Yusoff (2023) A new single linkage robust clustering outlier detection procedures for multivariate data. Sains Malaysiana, 52 (8). pp. 2431-2451. ISSN 0126-6039. (Published) https://doi.org/10.17576/jsm-2023-5208-19 https://doi.org/10.17576/jsm-2023-5208-19 |
spellingShingle | Q Science (General) QA Mathematics Sharifah Sakinah, Syed Abd Mutalib Siti Zanariah, Satari Wan Nur Syahidah, Wan Yusoff A new single linkage robust clustering outlier detection procedures for multivariate data |
title | A new single linkage robust clustering outlier detection procedures for multivariate data |
title_full | A new single linkage robust clustering outlier detection procedures for multivariate data |
title_fullStr | A new single linkage robust clustering outlier detection procedures for multivariate data |
title_full_unstemmed | A new single linkage robust clustering outlier detection procedures for multivariate data |
title_short | A new single linkage robust clustering outlier detection procedures for multivariate data |
title_sort | new single linkage robust clustering outlier detection procedures for multivariate data |
topic | Q Science (General) QA Mathematics |
url | http://umpir.ump.edu.my/id/eprint/40889/1/A%20new%20single%20linkage%20robust%20clustering%20outlier%20detection.pdf http://umpir.ump.edu.my/id/eprint/40889/2/A%20new%20single%20linkage%20robust%20clustering%20outlier%20detection%20procedures%20for%20multivariate%20data_ABS.pdf |
work_keys_str_mv | AT sharifahsakinahsyedabdmutalib anewsinglelinkagerobustclusteringoutlierdetectionproceduresformultivariatedata AT sitizanariahsatari anewsinglelinkagerobustclusteringoutlierdetectionproceduresformultivariatedata AT wannursyahidahwanyusoff anewsinglelinkagerobustclusteringoutlierdetectionproceduresformultivariatedata AT sharifahsakinahsyedabdmutalib newsinglelinkagerobustclusteringoutlierdetectionproceduresformultivariatedata AT sitizanariahsatari newsinglelinkagerobustclusteringoutlierdetectionproceduresformultivariatedata AT wannursyahidahwanyusoff newsinglelinkagerobustclusteringoutlierdetectionproceduresformultivariatedata |