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Selecting a Regression Saturated by Indicators

Soren Johansen, David Hendry and Carlos Santos ()

CREATES Research Papers from Department of Economics and Business Economics, Aarhus University

Abstract: We consider selecting a regression model, using a variant of Gets, when there are more variables than observations, in the special case that the variables are impulse dummies (indicators) for every observation. We show that the setting is unproblematic if tackled appropriately, and obtain the finite-sample distribution of estimators of the mean and variance in a simple location-scale model under the null that no impulses matter. A Monte Carlo simulation confirms the null distribution, and shows power against an alternative of interest.We consider selecting a regression model, using a variant of Gets, when there are more variables than observations, in the special case that the variables are impulse dummies (indicators) for every observation. We show that the setting is unproblematic if tackled appropriately, and obtain the finite-sample distribution of estimators of the mean and variance in a simple location-scale model under the null that no impulses matter. A Monte Carlo simulation confirms the null distribution, and shows power against an alternative of interest.

Keywords: Indicators; regression saturation; subset selection; model selection. (search for similar items in EconPapers)
JEL-codes: C22 C51 (search for similar items in EconPapers)
Pages: 17
Date: 2007-11-07
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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