Table 7.
Efficiency loss due to misspecification of W: with family-specific effects, μ1 = μ2 = 5, var(αi) = 25
| Ordinary least square estimates | ||||||||
|---|---|---|---|---|---|---|---|---|
| p=0.2 | p=0.4 | p=0.9 | ||||||
| True β | Adjusted Mean β̂ | Empirical S.E. | Adjusted Mean β̂ | Empirical S.E. | Efficiency Loss | Adjusted Mean β̂ | Empirical S.E. | Efficiency loss |
| 10 | 10.02 | 1.61 | 9.99 | 1.67 | 4% | 10.00 | 1.64 | 2% |
| 20 | 19.96 | 1.59 | 19.99 | 1.66 | 4% | 20.05 | 1.69 | 6% |
| 50 | 50.03 | 1.63 | 49.99 | 1.66 | 2% | 49.94 | 1.67 | 2% |
| 100 | 99.99 | 1.60 | 99.95 | 1.60 | 0% | 100.00 | 1.64 | 2% |
| Weighted least square estimates | ||||||||
| 10 | 10.03 | 1.42 | 9.99 | 1.46 | 3% | 10.00 | 1.49 | 5% |
| 20 | 19.98 | 1.43 | 20.02 | 1.49 | 4% | 20.05 | 1.45 | 1% |
| 50 | 50.00 | 1.43 | 50.01 | 1.50 | 5% | 49.96 | 1.51 | 6% |
| 100 | 99.98 | 1.43 | 99.95 | 1.44 | 1% | 100.00 | 1.50 | 5% |