Outlier detection in multiple circular regression model using DFFITC statistic

This paper presents the identification of outliers in multiple circular regression model (MCRM), where the model studies the relationship between two or more circular variables. To date, most of the published papers concentrating on detecting outliers in circular samples and simple circular regressi...

Full description

Bibliographic Details
Main Authors: Najla Ahmed Alkasadi, Safwati Ibrahim, Abuzaid, Ali H.M., Mohd Irwan Yusoff, Hashibah Hamid, Leow, Wai Zhe, Amelia Abd Razak
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/13750/
http://journalarticle.ukm.my/13750/1/25%20Najla%20Ahmed%20Alkasadi.pdf
_version_ 1848813364867760128
author Najla Ahmed Alkasadi,
Safwati Ibrahim,
Abuzaid, Ali H.M.
Mohd Irwan Yusoff,
Hashibah Hamid,
Leow, Wai Zhe
Amelia Abd Razak,
author_facet Najla Ahmed Alkasadi,
Safwati Ibrahim,
Abuzaid, Ali H.M.
Mohd Irwan Yusoff,
Hashibah Hamid,
Leow, Wai Zhe
Amelia Abd Razak,
author_sort Najla Ahmed Alkasadi,
building UKM Institutional Repository
collection Online Access
description This paper presents the identification of outliers in multiple circular regression model (MCRM), where the model studies the relationship between two or more circular variables. To date, most of the published papers concentrating on detecting outliers in circular samples and simple circular regression model with one independent circular variable. However, no related studies have been found for more than one independent circular variable. The existence of outliers could alert the sign and change the magnitude of regression coefficients and may lead to inaccurate model development and wrong prediction. Hence, the intention is to develop an outlier detection procedure using DFFITS statistic for circular case. This method has been successfully used in multiple linear regression model. Therefore, the DFFITc statistic for circular variable has been derived. The corresponding critical values and the performance of the procedure are studied via simulations. The results of simulation studies show that the proposed statistic perform well in detecting outliers in MCRM using DFFITc statistic. The proposed statistic was applied to a real data for illustration purposes.
first_indexed 2025-11-15T00:17:01Z
format Article
id oai:generic.eprints.org:13750
institution Universiti Kebangasaan Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T00:17:01Z
publishDate 2019
publisher Penerbit Universiti Kebangsaan Malaysia
recordtype eprints
repository_type Digital Repository
spelling oai:generic.eprints.org:137502019-11-29T10:34:13Z http://journalarticle.ukm.my/13750/ Outlier detection in multiple circular regression model using DFFITC statistic Najla Ahmed Alkasadi, Safwati Ibrahim, Abuzaid, Ali H.M. Mohd Irwan Yusoff, Hashibah Hamid, Leow, Wai Zhe Amelia Abd Razak, This paper presents the identification of outliers in multiple circular regression model (MCRM), where the model studies the relationship between two or more circular variables. To date, most of the published papers concentrating on detecting outliers in circular samples and simple circular regression model with one independent circular variable. However, no related studies have been found for more than one independent circular variable. The existence of outliers could alert the sign and change the magnitude of regression coefficients and may lead to inaccurate model development and wrong prediction. Hence, the intention is to develop an outlier detection procedure using DFFITS statistic for circular case. This method has been successfully used in multiple linear regression model. Therefore, the DFFITc statistic for circular variable has been derived. The corresponding critical values and the performance of the procedure are studied via simulations. The results of simulation studies show that the proposed statistic perform well in detecting outliers in MCRM using DFFITc statistic. The proposed statistic was applied to a real data for illustration purposes. Penerbit Universiti Kebangsaan Malaysia 2019-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13750/1/25%20Najla%20Ahmed%20Alkasadi.pdf Najla Ahmed Alkasadi, and Safwati Ibrahim, and Abuzaid, Ali H.M. and Mohd Irwan Yusoff, and Hashibah Hamid, and Leow, Wai Zhe and Amelia Abd Razak, (2019) Outlier detection in multiple circular regression model using DFFITC statistic. Sains Malaysiana, 48 (7). pp. 1557-1563. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil7_2019/KandunganJilid48Bil7_2019.html
spellingShingle Najla Ahmed Alkasadi,
Safwati Ibrahim,
Abuzaid, Ali H.M.
Mohd Irwan Yusoff,
Hashibah Hamid,
Leow, Wai Zhe
Amelia Abd Razak,
Outlier detection in multiple circular regression model using DFFITC statistic
title Outlier detection in multiple circular regression model using DFFITC statistic
title_full Outlier detection in multiple circular regression model using DFFITC statistic
title_fullStr Outlier detection in multiple circular regression model using DFFITC statistic
title_full_unstemmed Outlier detection in multiple circular regression model using DFFITC statistic
title_short Outlier detection in multiple circular regression model using DFFITC statistic
title_sort outlier detection in multiple circular regression model using dffitc statistic
url http://journalarticle.ukm.my/13750/
http://journalarticle.ukm.my/13750/
http://journalarticle.ukm.my/13750/1/25%20Najla%20Ahmed%20Alkasadi.pdf