Glejserʹs test revisited

Godfrey (1996, Journal of Econometrics 72, 275–299) has shown that the Glejser test for heteroskedasticity is valid only under conditional symmetry. Here, modifications of the Glejser test are suggested. The proposed test statistics are asymptotically valid even when the disturbances are not symmetrically distributed and can be used to test for heteroskedasticity when conditional location functions other than the conditional mean are estimated.