Christian Hansen (Institute for Fiscal Studies and Chicago GSB) Jerry Hausman () (Institute for Fiscal Studies and Massachusetts Institute of Technology) Whitney Newey () (Institute for Fiscal Studies and Massachusetts Institute of Technology)
Abstract
Using many valid instrumental variables has the potential to improve efficiency but makes the usual inference procedures inaccurate. We give corrected standard errors, an extension of Bekker (1994) to nonnormal disturbances, that adjust for many instruments. We find that this adujstment is useful in empirical work, simulations, and in the asymptotic theory. Use of the corrected standard errors in t-ratios leads to an asymptotic approximation order that is the same when the number of instrumental variables grow as when the number of instruments is fixed. We also give a version of the Kleibergen (2002) weak instrument statistic that is robust to many instruments.
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Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number
CWP19/06.
Length: 54 pp. Date of creation: Sep 2006 Date of revision: Handle: RePEc:ifs:cemmap:19/06
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