Table 10.
Effect of departure from constant family-specific effects model (μ1 = 5, μ2 = 20)
| Ordinary least square estimates | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Var(αi)=0 | Var(αi)=15 | Var(αi)=25 | |||||||
| True β | Adjusted Mean β̂ | Empirical S.E. | Adjusted Mean β̂ | Empirical S.E. | Increase of S.E. | Adjusted Mean β̂ | Empirical S.E. | Increase of S.E. | |
| 10 | 9.98 | 1.90 | 9.87 | 2.13 | 12% | 9.95 | 2.22 | 17% | |
| 20 | 19.93 | 1.88 | 19.83 | 2.03 | 8% | 19.98 | 2.15 | 14% | |
| 50 | 49.99 | 1.89 | 49.90 | 2.10 | 11% | 50.00 | 2.18 | 15% | |
| 100 | 100.00 | 1.89 | 99.97 | 2.11 | 12% | 99.95 | 2.20 | 16% | |
| Weighted least square estimates | |||||||||
| 10 | 10.02 | 1.49 | 9.93 | 1.51 | 1% | 10.05 | 1.49 | 0% | |
| 20 | 19.95 | 1.48 | 19.87 | 1.51 | 2% | 19.99 | 1.50 | 1% | |
| 50 | 50.02 | 1.48 | 49.93 | 1.50 | 1% | 50.02 | 1.49 | 1% | |
| 100 | 100.05 | 1.47 | 99.99 | 1.48 | 1% | 99.95 | 1.52 | 3% | |