Journal
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
Volume 51, Issue 10, Pages 6159-6169Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610918.2020.1797793
Keywords
Dynamic penalty function; Genetic algorithms; Multicollinearity; Ridge regression; Variance Inflation Factor
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This article proposes a new method for determining the ridge parameter in ridge regression and compares ordinary ridge regression with generalized ridge regression. The findings indicate that the generalized ridge regression provides better prediction results.
Ridge regression is an alternative to the ordinary least squares method when multicollinearity presents among the regressor variables in multiple linear regression analysis. The selection of the ridge parameter is an important issue to obtain a good performance of the ridge regression. In this article, a new method is proposed for determining the ridge parameter in ridge regression. This method is based on minimizing the statistic measures, which are mean squared error (MSE), mean absolute error (MAE), mean absolute prediction error (MAPE), by using genetic algorithms with the dynamic penalty function and also managing the values of Variance Inflation Factors to be less than or equal to 10. The ordinary ridge regression (ORR) and generalized ridge regression (GRR) are compared by performing a simulation study with many scenarios and a numerical example. Findings show that the GRR provides better (minimum MSE, MAE, and MAPE) results than the ORR.
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