Abstract
A standard test for weak instruments compares the first-stage F-statistic to a table of critical values obtained by Stock and Yogo (2005) using simulations. We derive a closed-form solution for the expectation from which these critical values are derived, as well as present some second-order asymptotic approximations that may be of value in the presence of multiple endogenous regressors. Inspection of this new result provides insights not available from simulation, and will allow software
6 implementations to be generalised and improved. Finally, we explore the calculation of p-values for the first-stage F-statistic weak instruments test.
6 implementations to be generalised and improved. Finally, we explore the calculation of p-values for the first-stage F-statistic weak instruments test.
Original language | English |
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Article number | 44 |
Number of pages | 23 |
Journal | Econometrics |
Volume | 6 |
Issue number | 4 |
Early online date | 13 Nov 2018 |
DOIs | |
Publication status | Published - Dec 2018 |
Structured keywords
- ECON Econometrics
- ECON CEPS Data
Keywords
- Hypergeometric functions
- Hypothesis testing
- p-values
- Quadratic forms
- Stock-Yogo tables
- Weak instruments