The VIF and MSE in Raise Regression

Autor: Román Salmerón Gómez, Ainara Rodríguez Sánchez, Catalina García García, José García Pérez
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematics, Vol 8, Iss 4, p 605 (2020)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math8040605
Popis: The raise regression has been proposed as an alternative to ordinary least squares estimation when a model presents collinearity. In order to analyze whether the problem has been mitigated, it is necessary to develop measures to detect collinearity after the application of the raise regression. This paper extends the concept of the variance inflation factor to be applied in a raise regression. The relevance of this extension is that it can be applied to determine the raising factor which allows an optimal application of this technique. The mean square error is also calculated since the raise regression provides a biased estimator. The results are illustrated by two empirical examples where the application of the raise estimator is compared to the application of the ridge and Lasso estimators that are commonly applied to estimate models with multicollinearity as an alternative to ordinary least squares.
Databáze: Directory of Open Access Journals
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