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Gauss-Newton, Milliken-Graybill, and Exact Misspecification Testing Using Artificial Regressions

Kenneth Stewart

No 9811, Econometrics Working Papers from Department of Economics, University of Victoria

Abstract: The Gauss-Newton regression (GNR) is widely used to compute Lagrange multiplier statistics. A regression described by Milliken and Graybill yields an exact F test in a certain class of nonlinear models which are linear under the null. This paper shows that the Milliken- Graybill regression is a GNR. Hence one interpretation of Milliken- Graybill is that they identi ed a class of nonlinear models for which the GNR yields an exact test.

Keywords: Specification testing; Milliken-Graybill Theorem; Gauss- Newton regression (search for similar items in EconPapers)
JEL-codes: C12 (search for similar items in EconPapers)
Pages: 9 pages
Date: 1998-11-30
New Economics Papers: this item is included in nep-ecm
Note: ISSN 1485-6441
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Journal Article: GNR, MGR, and exact misspeclfication testing (2000) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:vic:vicewp:9811

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