Research into multiple outliers in linear regression analysis

AŞIKGİL, BARIŞ; ERAR, Aydın

Research into multiple outliers in linear regression analysis

Barış AŞIKGİL, (Mimar Sinan Üniversitesi, Fen Edebiyat Fakültesi, İstatistik Bölümü, İstanbul, Türkiye)

Aydın ERAR (Mimar Sinan Üniversitesi, Fen Edebiyat Fakültesi, İstatistik Bölümü, İstanbul, Türkiye)

Hacettepe Journal of Mathematics and Statistics

1 0

Yıl: 2009 Cilt: 38 Sayı: 2 Sayfa Aralığı: 185 - 198 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Research into multiple outliers in linear regression analysis

Öz:

Studying the observations in regression analysis it is seen that the out- put of regression is affected from outliers in the direction of the depen- dent and / or the independent variables. In this paper multiple outliers are examined in two real data sets. The results concerned with which method can determine multiple outliers better are examined with the help of some statistics and REC curve which can be used for determin- ing efficiency. Also, the results are tried to support by using Monte Carlo Simulation.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Asikgil, B. The Examination of Outliers and Influential Observations in Multiple Linear Regression Analysis and an Application (Msc. Thesis, Mimar Sinan University, Istanbul, 2006).
[2] Atkinson, A.C. Fast very robust methods for the detection of multiple outliers, Journal of the American Statistical Association 89, 1329–1339, 1994.
[3] Atkinson, A.C. and Riani, M. Robust Diagnostic Regression Analysis (Springer, New York, 2000).
[4] Barnett, V. and Lewis, T. Outliers In Statistical Data (Third Edition, John Wiley&Sons Ltd., Chichester, 1994).
[5] Bi, J. and Bennett, K. P. Regression Error Characteristic Curves (Proceedings of the Twen- tieth International Conference on Machine Learning (ICML), Washington, 2003).
[6] Candan, M. Robust Estimators in Linear Regression Analysis (Msc. Thesis, Hacettepe Uni- versity, Ankara, 1995).
[7] Chatterjee, S. and Hadi, A. S. Influential observations, high leverage points and outliers in linear regression, Statistical Science 1, 379–416, 1986.
[8] Hadi, A. S. and Simonoff, J. S. Procedures for the identification of multiple outliers in linear models, Journal of the American Statistical Association 88, 1264–1272, 1993.
[9] Lawrence, D.K. and Arthur, J. L. Robust Regression; Analysis and Applications (Marcel Dekker, Inc., New York and Basel, 1990).
[10] Neter, J., Kutner, M.H., Nachtsheim, C. J. and Wasserman, W. Applied Linear Statistical Models (Fourth Edition, The McGraw-Hill Companies Inc., 1996).
[11] Rousseeuw, P. J. and Leroy, A.M. Robust Regression and Outlier Detection (John Wi- ley&Sons Inc., 2003).
[12] Tatlidil, H. Test of Suspicious Observations in Linear Regression Analysis and Multivariate Data (PhD. Thesis, Hacettepe University, Ankara, 1981).

APA	AŞIKGİL B, ERAR A (2009). Research into multiple outliers in linear regression analysis. , 185 - 198.
Chicago	AŞIKGİL BARIŞ,ERAR Aydın Research into multiple outliers in linear regression analysis. (2009): 185 - 198.
MLA	AŞIKGİL BARIŞ,ERAR Aydın Research into multiple outliers in linear regression analysis. , 2009, ss.185 - 198.
AMA	AŞIKGİL B,ERAR A Research into multiple outliers in linear regression analysis. . 2009; 185 - 198.
Vancouver	AŞIKGİL B,ERAR A Research into multiple outliers in linear regression analysis. . 2009; 185 - 198.
IEEE	AŞIKGİL B,ERAR A "Research into multiple outliers in linear regression analysis." , ss.185 - 198, 2009.
ISNAD	AŞIKGİL, BARIŞ - ERAR, Aydın. "Research into multiple outliers in linear regression analysis". (2009), 185-198.

APA	AŞIKGİL B, ERAR A (2009). Research into multiple outliers in linear regression analysis. Hacettepe Journal of Mathematics and Statistics, 38(2), 185 - 198.
Chicago	AŞIKGİL BARIŞ,ERAR Aydın Research into multiple outliers in linear regression analysis. Hacettepe Journal of Mathematics and Statistics 38, no.2 (2009): 185 - 198.
MLA	AŞIKGİL BARIŞ,ERAR Aydın Research into multiple outliers in linear regression analysis. Hacettepe Journal of Mathematics and Statistics, vol.38, no.2, 2009, ss.185 - 198.
AMA	AŞIKGİL B,ERAR A Research into multiple outliers in linear regression analysis. Hacettepe Journal of Mathematics and Statistics. 2009; 38(2): 185 - 198.
Vancouver	AŞIKGİL B,ERAR A Research into multiple outliers in linear regression analysis. Hacettepe Journal of Mathematics and Statistics. 2009; 38(2): 185 - 198.
IEEE	AŞIKGİL B,ERAR A "Research into multiple outliers in linear regression analysis." Hacettepe Journal of Mathematics and Statistics, 38, ss.185 - 198, 2009.
ISNAD	AŞIKGİL, BARIŞ - ERAR, Aydın. "Research into multiple outliers in linear regression analysis". Hacettepe Journal of Mathematics and Statistics 38/2 (2009), 185-198.