Role of Categorical Variables in Multicollinearity in the Linear Regression Model

Wißmann, Malte; Toutenburg, Helge and ---, Shalabh (10. December 2007): Role of Categorical Variables in Multicollinearity in the Linear Regression Model. Department of Statistics: Technical Reports, No.8

Abstract

The present article discusses the role of categorical variable in the problem of multicollinearity in linear regression model. It exposes the diagnostic tool condition number to linear regression models with categorical explanatory variables and analyzes how the dummy variables and choice of reference category can affect the degree of multicollinearity. Such an effect is analyzed analytically as well as numerically through simulation and real data application.

• Item Type: Paper (Technical Report)
• Keywords: Linear regression model, multicollinearity, dummy variable, condition number
• Subjects: Mathematics, Computer Science and Statistics > Statistics > Technical Reports
• Language: English