n | Estimator | Normal Exogenous Variables | Uniform Exogenous Variables | ||||||||||
Exact | Over | Exact | Over | ||||||||||
Equation (1) | Equation (3) | Tot | Equation (2) | Equation (4) | Tot | Equation (1) | Equation (3) | Tot | Equation (2) | Equation (4) | Tot | ||
10 | OLS | 4 | 4 | 8 | 3 | 3 | 6 | 4 | 4 | 8 | 3 | 3 | 6 |
2SLS | 8 | 8 | 16 | 6 | 6 | 12 | 8 | 8 | 16 | 6 | 6 | 12 | |
3SLS | 13 | 15 | 28 | 9 | 9 | 18 | 12 | 15 | 27 | 9 | 9 | 18 | |
FIML | 15 | 13 | 28 | 12 | 12 | 24 | 16 | 13 | 29 | 12 | 12 | 24 | |
20 | OLS | 4 | 4 | 8 | 3 | 3 | 6 | 4 | 4 | 8 | 3 | 3 | 6 |
2SLS | 8 | 8 | 16 | 6 | 6 | 12 | 8 | 8 | 16 | 6 | 6 | 12 | |
3SLS | 12 | 12 | 24 | 9 | 9 | 18 | 12 | 12 | 24 | 9 | 9 | 18 | |
FIML | 16 | 16 | 32 | 12 | 12 | 24 | 16 | 16 | 32 | 12 | 12 | 24 | |
30 | OLS | 4 | 4 | 8 | 3 | 12 | 15 | 4 | 4 | 8 | 3 | 3 | 6 |
2SLS | 8 | 8 | 16 | 6 | 3 | 9 | 8 | 8 | 16 | 6 | 6 | 12 | |
3SLS | 12 | 13 | 25 | 9 | 6 | 15 | 12 | 12 | 24 | 9 | 9 | 18 | |
FIML | 16 | 15 | 31 | 12 | 9 | 21 | 16 | 16 | 32 | 12 | 12 | 24 | |
50 | OLS | 4 | 4 | 8 | 6 | 12 | 18 | 4 | 4 | 8 | 3 | 3 | 6 |
2SLS | 8 | 8 | 16 | 9 | 3 | 12 | 8 | 8 | 16 | 6 | 6 | 12 | |
3SLS | 13 | 12 | 25 | 3 | 6 | 9 | 12 | 13 | 25 | 9 | 10 | 19 | |
FIML | 15 | 16 | 31 | 12 | 9 | 21 | 16 | 15 | 31 | 12 | 11 | 23 | |
100 | OLS | 13 | 4 | 17 | 12 | 12 | 24 | 4 | 4 | 8 | 3 | 4 | 7 |
2SLS | 11 | 8 | 19 | 9 | 3 | 12 | 8 | 8 | 16 | 8 | 5 | 13 | |
3SLS | 5 | 13 | 18 | 6 | 9 | 15 | 12 | 13 | 25 | 7 | 9 | 16 | |
FIML | 11 | 15 | 26 | 3 | 6 | 9 | 16 | 15 | 31 | 12 | 12 | 24 | |
250 | OLS | 16 | 16 | 32 | 12 | 12 | 24 | 4 | 4 | 8 | 3 | 12 | 15 |
2SLS | 4 | 8 | 12 | 9 | 4.5 | 13.5 | 8 | 8 | 16 | 6 | 3 | 9 | |
3SLS | 8 | 6.5 | 14.5 | 6 | 9 | 15 | 12 | 14 | 26 | 9 | 7 | 16 | |
FIML | 12 | 9.5 | 21.5 | 3 | 4.5 | 7.5 | 16 | 14 | 30 | 12 | 8 | 20 | |
500 | OLS | 16 | 16 | 32 | 12 | 12 | 24 | 4 | 4 | 8 | 12 | 12 | 24 |
2SLS | 4 | 6 | 10 | 9 | 3 | 12 | 8 | 8 | 16 | 9 | 3 | 12 | |
3SLS | 8 | 7.5 | 15.5 | 6 | 9 | 15 | 13 | 14.5 | 27.5 | 3 | 7 | 10 | |
FIML | 12 | 10.5 | 22.5 | 3 | 6 | 9 | 15 | 13.5 | 28.5 | 6 | 8 | 14 |