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Invariance and the Wald Test

Kemp, GCR (2000) Invariance and the Wald Test. UNSPECIFIED. University of Essex, Department of Economics, Economics Discussion Papers 526.

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Abstract

Many models and hypotheses of interest in econometrics are invariant to certain types of data transformations such as measurement unit changes. Dagenais and Dufour (1991, 1992) and Dufour and Dagenais (1992) have shown that Wald test are not invariant in general to such data transformations. In this paper, I provide a simple set of sufficient conditions to ensure that a Wald test for a null hypothesis is invariant to such a data transformation. I then use this set of conditions to help account for certain features of the Monte Carlo results from Gregory and Veall (1986) on the properties of a variety of Wald tests for Sargan's COMFAC restriction (Sargan 1980) in the first-order autoregressive distributed-lag model.

Item Type: Monograph (UNSPECIFIED)
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics, Department of
Depositing User: Jim Jamieson
Date Deposited: 17 Jul 2012 12:03
Last Modified: 17 Aug 2017 18:11
URI: http://repository.essex.ac.uk/id/eprint/2887

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