Abstract

Abstract This paper makes two contributions: (a) it provides a new derivation of 2SLS and 3SLS estimators in which they are represented as restricted least squares and restricted generalized least squares, respectively; (b) in the convext thus created it provides a perfectly routine and flexible vehicle for carrying out ‘identifiability’ and specification tests utilizing 2SLS or 3SLS estimators. The tests in question are simple Lagrange multiplier tests (LMT) carried out directly on the prior restrictions, in contrast to the current literature which approaches the problem indirectly through tests on the implications of such prior restrictions on the reduced form. In addition, it provides a limited Monte Carlo study comparing the performance of the newly created tests to that of the Hausman test (HT).

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