TY - JOUR
T1 - A robust regression technique using compound estimation
AU - Simpson, James R.
AU - Montgomery, Douglas
PY - 1998/3
Y1 - 1998/3
N2 - Least squares fitting of regression models is a widely used technique. The presence of outliers in the data can have an adverse effect on the method of least squares, resulting in a model that does not adequately fit to the bulk of the data. For this situation, robust regression techniques have been proposed as an improvement to the method of least squares. We propose a robust regression procedure that performs well relative to the current robust methods against a variety of dataset types. Evaluations are performed using datasets without outliers (testing efficiency), with a large percentage of outliers (testing breakdown), and with high leverage outliers (testing bounded influence). The datasets are based on 2-level factorial designs that include axial points to evaluate leverage effects. A Monte Carlo simulation approach is used to evaluate the estimating capability of the proposed procedure relative to several competing methods. We also provide an application to estimating costs for government satellites.
AB - Least squares fitting of regression models is a widely used technique. The presence of outliers in the data can have an adverse effect on the method of least squares, resulting in a model that does not adequately fit to the bulk of the data. For this situation, robust regression techniques have been proposed as an improvement to the method of least squares. We propose a robust regression procedure that performs well relative to the current robust methods against a variety of dataset types. Evaluations are performed using datasets without outliers (testing efficiency), with a large percentage of outliers (testing breakdown), and with high leverage outliers (testing bounded influence). The datasets are based on 2-level factorial designs that include axial points to evaluate leverage effects. A Monte Carlo simulation approach is used to evaluate the estimating capability of the proposed procedure relative to several competing methods. We also provide an application to estimating costs for government satellites.
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U2 - 10.1002/(SICI)1520-6750(199803)45:2<125::AID-NAV1>3.0.CO;2-A
DO - 10.1002/(SICI)1520-6750(199803)45:2<125::AID-NAV1>3.0.CO;2-A
M3 - Article
AN - SCOPUS:0032024053
SN - 0894-069X
VL - 45
SP - 125
EP - 139
JO - Naval Research Logistics
JF - Naval Research Logistics
IS - 2
ER -