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Performance of Beta Ridge Regression Estimator in Addressing Multicollinearity within Beta Distribution

Authors: Ratna Arum Sari1, Netti Herawati2*, Misgiyati3, Khoirin Nisa4;

Performance of Beta Ridge Regression Estimator in Addressing Multicollinearity within Beta Distribution

Abstract

Abstract Beta Ridge Regression (BRR) is a ridge method applied in the beta regression model used to overcome the problem of multicollinearity, which is a condition in which the independent variables in the regression model have a high correlation. This problem can cause parameter estimates to be unstable and less accurate. This study aims to determine the performance of BRR estimator in overcoming multicollinearity in simulated data with small sample size. The analysis is done by comparing the estimation results based on the Mean Squared Error (MSE) and Mean Absolute Error (MAE) values. The results show that the proposed BRR estimator has superior performance compared to the Maximum Likelihood Estimation (MLE) method, by producing lower MSE and MAE values than MLE. Keywords: Multicollinearity, Beta Ridge Regression, Beta Distribution, Simulated Data, Mean Squared Error, Mean Absolute Error

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green