International Journal of Computer
Trends and Technology

Research Article | Open Access | Download PDF

Volume 29 | Number 1 | Year 2015 | Article Id. IJCTT-V29P121 | DOI : https://doi.org/10.14445/22312803/IJCTT-V29P121

A New Method for Detection and Estimation of Outliers in Multiple Linear Regression Model


Dr. Nabeel George Nacy, Dr.Ghazi. I .Raho, Zrean Salam Ahmed

Citation :

Dr. Nabeel George Nacy, Dr.Ghazi. I .Raho, Zrean Salam Ahmed, "A New Method for Detection and Estimation of Outliers in Multiple Linear Regression Model," International Journal of Computer Trends and Technology (IJCTT), vol. 29, no. 1, pp. 120-128, 2015. Crossref, https://doi.org/10.14445/22312803/IJCTT-V29P121

Abstract

This paper aims to suggest a new method to detect outliers in multiple linear regression model and suggest three new methods to estimating this outliers. The suggested new method to detect outliers depending on the statistic DFSTAT proposed by Beasley et al. (1980) and modified the ellipse equation which proposed by Nacy (2001) and it also suggest three new methods to estimating these outliers according to the methods proposed by Nacy (2001) after modifying.

Keywords

Belsely Nacy , multiple linear regression models , detecting outliers , estimating outliers.

References

[1] Akter, S. & Khan, M. H. (2010) “ Multiple-Case Outlier Detection in Multiple Linear Regression Model Using Quantum - Inspired Evolutionary Algorithm” COMPUTERS, Vol. 5, no. 12, p.p. 1779 – 1788.
[2] Belsley, D. A. ,Kuh, E. &Welsch, R. E. (1980) “ Regression Diagnostics Identifying Influential Data and Sources of Collinearity ” , John Wiley, New York.
[3] Billor, N. &Kiral, G. (2008) “A Comparison of Multiple Outlier Detection Methods for Regression Data”Communications in Statistics—Simulation and Computation, no. 37, p.p. 521-545.
[4] Chatterjee, s. &Hadi, A. S. (1988), “ Sensitivity Analysis in linear Regression ” John Wiley, New York, p. p. (129, 95, 96).
[5] Hu, Y. (2011) “linear regression”Journal of Validation technology, Spring 2011, p.p. 15–22.
[6] Rousseuw, P. J. &Leroy, A. M. (1987) “ Robust Regression and Outliers Detection” John Wiley, Ney York.
[7] Raho,Ghazi &nor Burhan (2001) Management information system computerization