The Metric Number and Non-essential Approximate Multicollinearity

Román Salmerón Gómez (), Catalina B. García-García () and Donald Ramírez ()
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Román Salmerón Gómez: University of Granada
Catalina B. García-García: Polígono La Cartuja, s/n
Donald Ramírez: University of Virginia

Chapter Chapter 5 in Advances in Quantitative Methods for Economics and Business, 2025, pp 79-98 from Springer

Abstract: Abstract Within the possible linear relationships that can exist in a multiple linear regression model (multicollinearity), one relationship that is often overlooked is the one between the constant term of the model and the rest of the independent variables. This type of approximate multicollinearity is ignored by the variance inflation factor while it can be detected through the condition number or the coefficient of variation. In this work, the utility of the metric number is analyzed for detecting this type of approximate multicollinearity from a geometric perspective.

Keywords: Metric number; Non-essential; Detection; Multicollinerity; Linear regression (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-84782-0_5

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DOI: 10.1007/978-3-031-84782-0_5

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