Scandinavian Working Papers in Economics

Discussion Papers,
Statistics Norway, Research Department

No 190: Panel Data with Errors-in-Variables: A Note on Essential and Redundant Orthogonality Conditions in GMM-estimation

Erik Biørn and Tor Jakob Klette
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Tor Jakob Klette: Statistics Norway

Abstract: General Method of Moments (GMM) estimation of a linear one-equation model using panel data with errors-in-variables is considered. To eliminate fixed individual heterogeneity, the equation is differenced across one or more than one periods and estimated by means of instrumental variables. With non-autocorrelated measurement error, we show that only the one-period and a few two-period differences are essential, i.e. relevant for GMM-estimation. GMM estimation based on all orthogonality conditions on the basis of a generalized inverse formulation is shown to be equivalent to estimation using only the essential orthogonality conditions

Keywords: Panel Data; Errors-in-Variables; Instrumental Variables; GMM Estimation; Generalized inverse

JEL-codes: C23; C33; C12; C13 March 1997

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