This paper develops a general method for constructing exactly similar tests based on the conditional distribution of nonpivotal statistics in a simultaneous equations model with normal errors and known reduced-form covariance matrix. These tests are shown to be similar under weak-instrument asymptotics when the reduced-form covariance matrix is estimated and the errors are non-normal. The conditional test based on the likelihood ratio statistic is particularly simple and has good power properties. Like the score test, it is optimal under the usual local-to-null asymptotics, but it has better power when identification is weak. Copyright The Econometric Society 2003.
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Article provided by Econometric Society in its journal Econometrica.
Volume (Year): 71 (2003) Issue (Month): 4 (07) Pages: 1027-1048 Download reference. The following formats are available: HTML,
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