On size and power of heteroskedasticity and autocorrelation robust tests
Journal
Econometric Theory
Type
journal article
Date Issued
2016
Author(s)
Preinerstorfer, David
;
Pötscher, Benedikt M.
Abstract
Testing restrictions on regression coefficients in linear models often requires correcting the conventional F-test for potential heteroskedasticity or autocorrelation amongst the disturbances, leading to so-called heteroskedasticity and autocorrelation robust test procedures. These procedures have been developed with the purpose of attenuating size distortions and power deficiencies present for the uncorrected F-test. We develop a general theory to establish positive as well as negative finite-sample results concerning the size and power properties of a large class of heteroskedasticity and autocorrelation robust tests. Using these results we show that nonparametrically as well as parametrically corrected F-type tests in time series regression models with stationary disturbances have either size equal to one or nuisance-infimal power equal to zero under very weak assumptions on the covariance model and under generic conditions on the design matrix. In addition we suggest an adjustment procedure based on artificial regressors. This adjustment resolves the problem in many cases in that the so-adjusted tests do not suffer from size distortions. At the same time their power function is bounded away from zero. As a second application we discuss the case of heteroskedastic disturbances.
Language
English
HSG Classification
contribution to scientific community
Refereed
Yes
Publisher
Cambridge University Press
Volume
32
Number
2
Start page
261
End page
358
Subject(s)
Eprints ID
266216