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Selecting a Regression Saturated by Indicators

Soren Johansen (), David F. Hendry () and Carlos Santos ()

CREATES Research Papers from School of Economics and Management, University of Aarhus

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: C51 C22 (search for similar items in EconPapers)
Date: 2007-11-07
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