Which Robust Regression Technique Is Appropriate Under Violated Assumptions? A Simulation Study

Abstract: Ordinary least squares (OLS) regression is widely employed for statistical prediction and theoretical explanation in psychology studies. However, OLS regression has a critical drawback: it becomes less accurate in the presence of outliers and non-random error distribution. Several robust regression methods have been proposed as alternatives. However, each robust regression has its own strengths and limitations. Consequently, researchers are often at a loss as to which robust regression method to use for their studies. This study uses a Monte Carlo experiment to compare different types of robust regression methods with OLS regression based on relative efficiency (RE), bias, root mean squared error (RMSE), Type 1 error, power, coverage probability of the 95% confidence intervals (CIs), and the width of the CIs. The results show that, with sufficient samples per predictor (n = 100), the robust regression methods are as efficient as OLS regression. When errors follow non-normal distrib.... https://meth.psychopen.eu/index.php/meth/article/view/8285

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Which Robust Regression Technique Is Appropriate Under Violated Assumptions? A Simulation Study ; volume:19 ; number:4 ; day:22 ; month:12 ; year:2023
Methodology ; 19, Heft 4 (22.12.2023)

Creator
Kim, Jaejin
Li, Johnson Ching-Hong

DOI
10.5964/meth.8285
URN
urn:nbn:de:101:1-2023122304174656213760
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:33 AM CEST

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Associated

  • Kim, Jaejin
  • Li, Johnson Ching-Hong

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