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 |
|---|---|
| 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 |
Research Groups and Themes
- ECON Econometrics
- ECON CEPS Data
Keywords
- Hypergeometric functions
- Hypothesis testing
- p-values
- Quadratic forms
- Stock-Yogo tables
- Weak instruments