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The coefficient of determination in the ridge regression
dc.contributor.author | Rodríguez Sánchez, Ainara | |
dc.contributor.author | Salmerón Gómez, Román | |
dc.contributor.author | García García, Catalina | |
dc.date.accessioned | 2024-02-29T09:52:24Z | |
dc.date.available | 2024-02-29T09:52:24Z | |
dc.date.issued | 2019-01-08 | |
dc.identifier.citation | Published version: Ainara Rodríguez Sánchez, Román Salmerón Gómez & Catalina García (2022) The coefficient of determination in the ridge regression, Communications in Statistics - Simulation and Computation, 51:1, 201-219. https://doi.org/10.1080/03610918.2019.1649421 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/89674 | |
dc.description.abstract | In a linear regression, the coefficient of determination, R2, is a relevant measure that represents the percentage of variation in the dependent variable that is explained by a set of independent variables. Thus, it measures the predictive ability of the estimated model. For an ordinary least squares (OLS) estimator, this coefficient is calculated from the decomposition of the sum of squares. However, when the model presents collinearity problems (a strong linear relation between the independent variables), the OLS estimation is unstable, and other estimation methodologies are proposed, with the ridge estimation being the most widely applied. This paper shows that the decomposition of the sum of squares is not verified in the ridge regression and proposes how the coefficient of determination should be calculated in this case. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Taylor and Francis | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Multicolinealidad | es_ES |
dc.subject | Multicollinearity | es_ES |
dc.subject | Ridge Regression | es_ES |
dc.subject | Goodness of fit | es_ES |
dc.subject | Sum of squares decomposition | es_ES |
dc.subject | Transformation of variables | es_ES |
dc.title | The coefficient of determination in the ridge regression | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1080/03610918.2019.1649421 | |
dc.type.hasVersion | SMUR | es_ES |