Advanced search
Publication Cover
Journal of Applied Statistics Volume 36, 2009 - Issue 5
Submit an article Journal homepage
498
Views
36
CrossRef citations to date
0
Altmetric
Original Articles

The performance of diagnostic-robust generalized potentials for the identification of multiple high leverage points in linear regression

M. Habshah Laboratory of Applied and Computational Statistics, Institute for Mathematical Research, University Putra Malaysia, Selangor, MalaysiaCorrespondence[email protected]
,
M. R. Norazan Faculty of Information Technology and Quantitative Sciences, University Technology MARA, Malaysia
&
A. H.M. Rahmatullah Imon Department of Mathematical Sciences, Ball State University, Muncie, USA
Pages 507-520 | Published online: 13 May 2009

Citations (36)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (10)

Siti Zahariah & Habshah Midi. (2023) Minimum regularized covariance determinant and principal component analysis-based method for the identification of high leverage points in high dimensional sparse data. Journal of Applied Statistics 50:13, pages 2817-2835.
Read now
Abdullah Mohammed Rashid, Habshah Midi, Waleed Dhhan & Jayanthi Arasan. (2022) Detection of outliers in high-dimensional data using nu-support vector regression. Journal of Applied Statistics 49:10, pages 2550-2569.
Read now
Habshah Midi & Shelan Saied Ismaeel. (2018) Fast improvised diagnostic robust measure for the identification of high leverage points in multiple linear regression. Journal of Statistics and Management Systems 21:6, pages 1003-1019.
Read now
Xuqing Liu, Feng Gao, Yandong Wu & Zhiguo Zhao. (2018) Detecting outliers and influential points: an indirect classical Mahalanobis distance-based method. Journal of Statistical Computation and Simulation 88:11, pages 2013-2033.
Read now
A.A.M. Nurunnabi, M. Nasser & A.H.M.R. Imon. (2016) Identification and classification of multiple outliers, high leverage points and influential observations in linear regression. Journal of Applied Statistics 43:3, pages 509-525.
Read now
Keya Rani Das & A.H.M. Rahmatullah Imon. (2014) Geometric median and its application in the identification of multiple outliers. Journal of Applied Statistics 41:4, pages 817-831.
Read now
A.H.M. Rahmatullah Imon & Ali S. Hadi. (2013) Identification of multiple high leverage points in logistic regression. Journal of Applied Statistics 40:12, pages 2601-2616.
Read now
Arezoo Bagheri, M. Habshah & R.H. M. R. Imon. (2012) A Novel Collinearity-Influential Observation Diagnostic Measure Based on a Group Deletion Approach. Communications in Statistics - Simulation and Computation 41:8, pages 1379-1396.
Read now
A. A. M. Nurunnabi, A. H. M. Rahmatullah Imon & M. Nasser. (2011) A Diagnostic Measure for Influential Observations in Linear Regression. Communications in Statistics - Theory and Methods 40:7, pages 1169-1183.
Read now
Hossein Riazoshams, HabshahBt. Midi & OlimjonSh. Sharipov. (2010) The Performance of Robust Two-Stage Estimator in Nonlinear Regression with Autocorrelated Error. Communications in Statistics - Simulation and Computation 39:6, pages 1251-1268.
Read now

Articles from other publishers (26)

Ishaq A. Baba, Habshah Midi, Leong W. June & Gafurjan Ibragimov. (2024) A modified reweighted fast consistent and high-breakdown estimator for high-dimensional datasets. Decision Analytics Journal 10, pages 100424.
Crossref
S. U. Hassan & K. H. Ali. (2022) Robust bootstrap regression testing in the presence of outliers. Mathematical Modeling and Computing 9:1, pages 26-35.
Crossref
Ali Mohammed Baba, Habshah Midi, Mohd Bakri Adam & Nur Haizum Abd Abd Rahman. (2021) Detection of Influential Observations in Spatial Regression Model Based on Outliers and Bad Leverage Classification. Symmetry 13:11, pages 2030.
Crossref
Ebru GÜNDOĞAN AŞIK, Arzu ALTİN YAVUZ & Zafer KÜÇÜK. (2021) LOJİSTİK REGRESYON MODELİNDE KÖTÜ KALDIRAÇ NOKTALARININ BELİRLENMESİ İÇİN YENİ SAĞLAM EŞİK DEĞERLERNEW ROBUST CUT-OFF VALUES IN DETERMINING BAD LEVERAGE POINTS IN THE LOGISTIC REGRESSION MODEL. Mehmet Akif Ersoy Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi 8:2, pages 630-650.
Crossref
Divo Dharma Silalahi, Habshah Midi, Jayanthi Arasan, Mohd Shafie Mustafa & Jean-Pierre Caliman. (2021) Kernel Partial Least Square Regression with High Resistance to Multiple Outliers and Bad Leverage Points on Near-Infrared Spectral Data Analysis. Symmetry 13:4, pages 547.
Crossref
Abdullah Mohammed Rashid, Habshah Midi, Waleed Dhhan Slwabi & Jayanthi Arasan. (2021) An Efficient Estimation and Classification Methods for High Dimensional Data Using Robust Iteratively Reweighted SIMPLS Algorithm Based on nu -Support Vector Regression . IEEE Access 9, pages 45955-45967.
Crossref
Youzhi Liu, Hui Zi, Jian Xiao, Chunqi Yang, Yanqiu Hou & Jikeng Lin. (2020) Connotations, Characteristics and New Identification Method of Leverage Measurements. IOP Conference Series: Earth and Environmental Science 603:1, pages 012041.
Crossref
Habshah Midi, Jayanthi Arasan, Hassan Uraibi & Hasan Talib Hendi. (2020) Fast and Robust Diagnostic Technique for the Detection of High Leverage Points. Pertanika Journal of Science and Technology 28:4.
Crossref
Hatim G. Abood, Victor Sreeram & Yateendra Mishra. (2020) An incremental meter placement method for state estimation considering collinear measurements and high leverage points. International Journal on Smart Sensing and Intelligent Systems 13:1, pages 1-12.
Crossref
Divo Dharma Silalahi, Habshah Midi, Jayanthi Arasan, Mohd Shafie Mustafa & Jean-Pierre Caliman. (2020) Kernel partial diagnostic robust potential to handle high-dimensional and irregular data space on near infrared spectral data. Heliyon 6:1, pages e03176.
Crossref
Hossein Riazoshams, Habshah Midi & Gebrenegus Ghilagaber. 2018. Robust Nonlinear Regression. Robust Nonlinear Regression 233 238 .
Divo Dharma Silalahi, Habshah Midi, Jayanthi Arasan, Mohd Shafie Mustafa & Jean-Pierre Caliman. (2018) Robust generalized multiplicative scatter correction algorithm on pretreatment of near infrared spectral data. Vibrational Spectroscopy 97, pages 55-65.
Crossref
M. Habshah, Muhammad Sani & Jayanthi Arasan. (2018) Robust Heteroscedasticity Consistent Covariance Matrix Estimator based on Robust Mahalanobis Distance and Diagnostic Robust Generalized Potential Weighting Methods in Linear Regression. Journal of Modern Applied Statistical Methods 17:1.
Crossref
Kathy Rupar. (2017) Significance of Forecast Precision: The Importance of Investors’ Expectations. Contemporary Accounting Research 34:2, pages 849-870.
Crossref
Nor Mazlina Abu Bakar & Habshah Midi. Robust weights of generalized M-estimator for panel data. Robust weights of generalized M-estimator for panel data.
Hock Ann Lim & Habshah Midi. (2016) Diagnostic Robust Generalized Potential Based on Index Set Equality (DRGP (ISE)) for the identification of high leverage points in linear model. Computational Statistics 31:3, pages 859-877.
Crossref
Loo Yee Peng, Habshah Midi, Sohel Rana & Anwar Fitrianto. (2016) Identification of Multiple Outliers in a Generalized Linear Model with Continuous Variables. Mathematical Problems in Engineering 2016, pages 1-9.
Crossref
Ankur Majumdar & Bikash Chandra Pal. (2016) Bad Data Detection in the Context of Leverage Point Attacks in Modern Power Networks. IEEE Transactions on Smart Grid, pages 1-1.
Crossref
Mohammed Alguraibawi, Habshah Midi & A. H. M. Rahmatullah Imon. (2015) A New Robust Diagnostic Plot for Classifying Good and Bad High Leverage Points in a Multiple Linear Regression Model. Mathematical Problems in Engineering 2015, pages 1-12.
Crossref
Ashkan Shabbak & Habshah Midi. (2012) An Improvement of the Hotelling Statistic in Monitoring Multivariate Quality Characteristics . Mathematical Problems in Engineering 2012, pages 1-15.
Crossref
Arezoo Bagheri & Habshah Midi. (2012) On the Performance of the Measure for Diagnosing Multiple High Leverage Collinearity-Reducing Observations. Mathematical Problems in Engineering 2012, pages 1-16.
Crossref
Habshah Midi & Ashkan Shabbak. (2011) Robust Multivariate Control Charts to Detect Small Shifts in Mean. Mathematical Problems in Engineering 2011, pages 1-19.
Crossref
B.A. Syaiba & M. Habshah. (2010) Robust Logistic Diagnostic for the Identification of High Leverage Points in Logistic Regression Model. Journal of Applied Sciences 10:23, pages 3042-3050.
Crossref
A. Bagheri, Habshah Midi & A.H.M.R. Imon. (2010) The Effect of Collinearity-influential Observations on Collinear Data Set: A Monte Carlo Simulation Study. Journal of Applied Sciences 10:18, pages 2086-2093.
Crossref
H. Midi, A. Bagheri & A.H.M.R. Imon. (2010) The Application of Robust Multicollinearity Diagnostic Method Based on Robust Coefficient Determination to a Non-Collinear Data. Journal of Applied Sciences 10:8, pages 611-619.
Crossref
Kathy Rupar. (2011) Significance of Forecast Precision: The Importance of Ex-Ante Expectations. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.