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 | 4 | 3 | 7 |
2SLS | 8 | 8 | 16 | 6 | 6 | 12 | 8 | 8 | 16 | 5 | 6 | 11 | |
3SLS | 12 | 13 | 25 | 9 | 9 | 18 | 12 | 14 | 26 | 9 | 9 | 18 | |
FIML | 16 | 15 | 31 | 12 | 12 | 24 | 16 | 14 | 30 | 12 | 12 | 24 | |
20 | OLS | 4 | 4 | 8 | 10 | 12 | 22 | 4 | 4 | 8 | 5 | 6 | 11 |
2SLS | 8 | 8 | 16 | 3 | 3 | 6 | 8 | 8 | 16 | 4 | 4 | 8 | |
3SLS | 12 | 12 | 24 | 6 | 6 | 12 | 12 | 12 | 24 | 9 | 8 | 17 | |
FIML | 16 | 16 | 32 | 11 | 9 | 20 | 16 | 16 | 32 | 12 | 12 | 24 | |
30 | OLS | 4 | 4 | 8 | 12 | 12 | 24 | 4 | 4 | 8 | 9 | 5 | 14 |
2SLS | 8 | 8 | 16 | 3 | 3 | 6 | 8 | 8 | 16 | 3 | 4 | 7 | |
3SLS | 12 | 13 | 25 | 9 | 6 | 15 | 12 | 12 | 24 | 6 | 9 | 15 | |
FIML | 16 | 15 | 31 | 6 | 9 | 15 | 16 | 16 | 32 | 12 | 12 | 24 | |
50 | OLS | 5 | 4 | 9 | 12 | 12 | 24 | 4 | 4 | 8 | 6 | 9 | 15 |
2SLS | 7 | 8 | 15 | 6 | 3 | 9 | 8 | 8 | 16 | 3 | 4 | 7 | |
3SLS | 12 | 12 | 24 | 3 | 6 | 9 | 12 | 13 | 25 | 9 | 7 | 16 | |
FIML | 16 | 16 | 32 | 9 | 9 | 18 | 16 | 15 | 31 | 12 | 10 | 22 | |
100 | OLS | 16 | 10 | 26 | 12 | 12 | 24 | 4 | 4 | 8 | 10 | 11 | 21 |
2SLS | 4 | 4 | 8 | 9 | 3 | 12 | 8 | 8 | 16 | 5 | 3 | 8 | |
3SLS | 8 | 12 | 20 | 6 | 9 | 15 | 12 | 13 | 25 | 4 | 7 | 11 | |
FIML | 12 | 14 | 26 | 3 | 6 | 9 | 16 | 15 | 31 | 11 | 9 | 20 | |
250 | OLS | 16 | 16 | 32 | 12 | 12 | 24 | 4 | 4 | 8 | 12 | 12 | 24 |
2SLS | 4 | 6 | 10 | 9 | 5 | 14 | 8 | 8 | 16 | 3 | 3 | 6 | |
3SLS | 8 | 8 | 16 | 6 | 9 | 15 | 12 | 13 | 25 | 6 | 8 | 14 | |
FIML | 12 | 10 | 22 | 3 | 4 | 7 | 16 | 15 | 31 | 9 | 7 | 16 | |
500 | OLS | 16 | 16 | 32 | 12 | 12 | 24 | 10 | 5 | 15 | 12 | 12 | 24 |
2SLS | 4 | 6 | 10 | 9 | 5.5 | 14.5 | 6 | 7 | 13 | 9 | 3 | 12 | |
3SLS | 8 | 8.5 | 16.5 | 6 | 8 | 14 | 10 | 14 | 24 | 5 | 8 | 13 | |
FIML | 12 | 9.5 | 21.5 | 3 | 4.5 | 7.5 | 14 | 14 | 28 | 4 | 7 | 11 |