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Branch Rickey's Equation Fifty Years Later

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  • Ray Fair
  • Danielle Catambay

Abstract

This paper reviews recent developments in methods for dealing with weak instruments (IVs) in IV regression models. The focus is more on tests (and confidence intervals derived from tests) than estimators. The paper also presents new testing results under "many weak IV asymptotics," which are relevant when the number of IVs is large and the coefficients on the IVs are relatively small. Asymptotic power envelopes for invariant tests are established. Power comparisons of the conditional likelihood ratio (CLR), Anderson-Rubin, and Lagrange multiplier tests are made. Numerical results show that the CLR test is on the asymptotic power envelope. This holds no matter what the relative magnitude of the IV strength to the number of IVs.

Suggested Citation

  • Ray Fair & Danielle Catambay, 2005. "Branch Rickey's Equation Fifty Years Later," Yale School of Management Working Papers amz2390, Yale School of Management, revised 01 Aug 2007.
    • Handle: RePEc:ysm:wpaper:amz2390
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    File URL: https://repec.som.yale.edu/icfpub/publications/2390.pdf
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    References listed on IDEAS

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    1. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
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