UPM Institutional Repository

Effects of a single outlier on the coefficient of determination: an empirical study


Fitrianto, Anwar and Rana, Md. Sohel and Midi, Habshah and Hydara, Kutub (2014) Effects of a single outlier on the coefficient of determination: an empirical study. In: 2nd ISM International Statistical Conference 2014 (ISM-II), 12-14 Aug. 2014, MS Garden Hotel, Kuantan, Pahang. (pp. 409-413).


This article investigates the effects of outliers on the coefficient of determination, R2 which is computed by Ordinary Least Squares (OLS) estimator. It is now evident that the OLS is greatly affected by outliers and hence the R2 is also affected. This problem can be solved by using the robust estimators such as Least Trimmed Squares (LTS) estimator. In this article, we compare the value of R2 which is computed by OLS and LTS estimators. We modify a regression data set to effectively generate outliers in both X and Y directions. Then the coefficient of determination (OLS and LTS) is investigated from the modified data sets (data with outliers). The numerical results show the merit of using the LTS based R2 estimator compared to the OLS estimator.

Download File

PDF (Abstract)
Effects of a single outlier on the coefficient of determination an empirical study.pdf

Download (34kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4907473
Publisher: AIP Publishing LLC
Keywords: Outlier; Coefficient of determination; LTS estimator
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:02
Last Modified: 26 Sep 2017 04:02
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4907473
URI: http://psasir.upm.edu.my/id/eprint/57301
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item