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Mitigating the Multicollinearity Problem and Its Machine Learning Approach: A Review

Jireh Yi-Le Chan, Steven Mun Hong Leow, Khean Thye Bea, Wai Khuen Cheng, Seuk Wai Phoong, Zeng‐Wei Hong, Yen‐Lin Chen

2022Mathematics579 citationsDOIOpen Access PDF

Abstract

Technologies have driven big data collection across many fields, such as genomics and business intelligence. This results in a significant increase in variables and data points (observations) collected and stored. Although this presents opportunities to better model the relationship between predictors and the response variables, this also causes serious problems during data analysis, one of which is the multicollinearity problem. The two main approaches used to mitigate multicollinearity are variable selection methods and modified estimator methods. However, variable selection methods may negate efforts to collect more data as new data may eventually be dropped from modeling, while recent studies suggest that optimization approaches via machine learning handle data with multicollinearity better than statistical estimators. Therefore, this study details the chronological developments to mitigate the effects of multicollinearity and up-to-date recommendations to better mitigate multicollinearity.

Topics & Concepts

MulticollinearityVariance inflation factorEstimatorComputer scienceFeature selectionVariable (mathematics)EconometricsMachine learningBig dataVariablesStatisticsData miningData scienceRegression analysisMathematicsMathematical analysisSpectroscopy and Chemometric AnalysesAdvanced Statistical Methods and ModelsComputational Drug Discovery Methods
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