Table 3.
Efficiency of TPS relative to various alternative estimators for estimating risk model coefficients.
| γwv | γsv | γwp | γsp | β0 | β1 | β2 | β3 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| TPS | TEL | WPS | WEL | TPS | TEL | WPS | WEL | TPS | TEL | WPS | WEL | TPS | TEL | WPS | WEL | ||||
| BIP-only Designs | |||||||||||||||||||
| 1 | 1 | 1 | 0 | 1.00 | 0.88 | 1.23 | 1.26 | 1.00 | 1.02 | 1.59 | 1.60 | 1.00 | 0.89 | 1.26 | 1.30 | 1.00 | 1.03 | 1.59 | 1.61 |
| 1 | 1 | 2 | 0 | 1.00 | 0.81 | 0.87 | 0.89 | 1.00 | 0.99 | 1.22 | 1.22 | 1.00 | 0.82 | 0.88 | 0.91 | 1.00 | 0.99 | 1.21 | 1.21 |
| 1 | 1 | 5 | 0 | 1.00 | 0.83 | 0.76 | 0.77 | 1.00 | 1.02 | 1.10 | 1.09 | 1.00 | 0.84 | 0.77 | 0.78 | 1.00 | 1.02 | 1.10 | 1.09 |
| 1 | 1 | 10 | 0 | 1.00 | 0.96 | 0.93 | 0.94 | 1.00 | 1.04 | 1.14 | 1.13 | 1.00 | 0.97 | 0.94 | 0.96 | 1.00 | 1.05 | 1.14 | 1.12 |
| 2 | 1 | 2 | 0 | 1.00 | 0.86 | 1.01 | 1.04 | 1.00 | 0.99 | 1.21 | 1.24 | 1.00 | 0.87 | 1.02 | 1.06 | 1.00 | 1.00 | 1.20 | 1.24 |
| 5 | 1 | 5 | 0 | 1.00 | 0.91 | 0.92 | 0.95 | 1.00 | 1.02 | 1.01 | 1.07 | 1.00 | 0.92 | 0.93 | 0.96 | 1.00 | 1.03 | 1.01 | 1.07 |
| 10 | 1 | 10 | 0 | 1.00 | 1.02 | 0.99 | 1.03 | 1.00 | 1.06 | 1.00 | 1.07 | 1.00 | 1.03 | 0.99 | 1.04 | 1.00 | 1.07 | 1.00 | 1.08 |
| 2 | 2 | 1 | 0 | 1.00 | 0.95 | 1.51 | 1.52 | 1.00 | 1.00 | 1.65 | 1.65 | 1.00 | 0.96 | 1.53 | 1.54 | 1.00 | 1.01 | 1.65 | 1.65 |
| 2 | 2 | 2 | 0 | 1.00 | 0.86 | 1.04 | 1.04 | 1.00 | 0.94 | 1.20 | 1.20 | 1.00 | 0.87 | 1.04 | 1.05 | 1.00 | 0.95 | 1.19 | 1.19 |
| 2 | 2 | 5 | 0 | 1.00 | 0.87 | 0.85 | 0.86 | 1.00 | 0.96 | 1.02 | 1.02 | 1.00 | 0.87 | 0.85 | 0.86 | 1.00 | 0.96 | 1.02 | 1.01 |
| 2 | 2 | 10 | 0 | 1.00 | 0.96 | 0.94 | 0.95 | 1.00 | 1.01 | 1.05 | 1.04 | 1.00 | 0.97 | 0.94 | 0.95 | 1.00 | 1.01 | 1.04 | 1.04 |
| 5 | 5 | 2 | 0 | 1.00 | 0.98 | 1.30 | 1.30 | 1.00 | 0.99 | 1.29 | 1.29 | 1.00 | 0.98 | 1.31 | 1.31 | 1.00 | 0.99 | 1.29 | 1.29 |
| 5 | 5 | 5 | 0 | 1.00 | 0.93 | 0.98 | 0.98 | 1.00 | 0.96 | 1.02 | 1.02 | 1.00 | 0.93 | 0.98 | 0.98 | 1.00 | 0.96 | 1.02 | 1.02 |
| 5 | 5 | 10 | 0 | 1.00 | 0.98 | 0.98 | 0.98 | 1.00 | 0.99 | 1.00 | 1.00 | 1.00 | 0.98 | 0.98 | 0.98 | 1.00 | 0.99 | 1.00 | 1.00 |
| 10 | 10 | 10 | 0 | 1.00 | 0.99 | 1.00 | 1.00 | 1.00 | 0.99 | 1.00 | 1.00 | 1.00 | 0.99 | 1.00 | 1.00 | 1.00 | 0.99 | 1.00 | 1.00 |
| BIP+CPV Designs | |||||||||||||||||||
| 1 | 1 | 1 | 1 | 1.00 | 1.16 | 3.53 | 5.17 | 1.00 | 1.22 | 4.05 | 5.52 | 1.00 | 1.17 | 3.68 | 5.31 | 1.00 | 1.23 | 4.09 | 5.53 |
| 1 | 1 | 2 | 2 | 1.00 | 1.16 | 2.21 | 4.42 | 1.00 | 1.32 | 2.79 | 4.75 | 1.00 | 1.18 | 2.30 | 5.27 | 1.00 | 1.33 | 2.81 | 5.32 |
| 1 | 1 | 5 | 5 | 1.00 | 1.50 | 1.32 | 3.77 | 1.00 | 1.84 | 1.88 | 4.05 | 1.00 | 1.54 | 1.34 | 3.84 | 1.00 | 1.85 | 1.86 | 4.04 |
| 1 | 1 | 10 | 10 | 1.00 | 2.51 | 1.08 | 3.65 | 1.00 | 2.89 | 1.57 | 3.95 | 1.00 | 2.59 | 1.08 | 3.73 | 1.00 | 2.90 | 1.55 | 3.95 |
| 2 | 1 | 2 | 1 | 1.00 | 1.04 | 1.78 | 2.67 | 1.00 | 1.15 | 1.95 | 2.98 | 1.00 | 1.05 | 1.88 | 2.93 | 1.00 | 1.16 | 2.01 | 3.14 |
| 5 | 1 | 5 | 1 | 1.00 | 1.02 | 1.07 | 1.24 | 1.00 | 1.16 | 1.11 | 1.49 | 1.00 | 1.03 | 1.08 | 1.28 | 1.00 | 1.17 | 1.10 | 1.50 |
| 10 | 1 | 10 | 1 | 1.00 | 1.04 | 1.00 | 1.06 | 1.00 | 1.18 | 1.01 | 1.24 | 1.00 | 1.05 | 1.00 | 1.08 | 1.00 | 1.19 | 1.01 | 1.26 |
| 2 | 2 | 1 | 1 | 1.00 | 1.09 | 5.22 | 5.64 | 1.00 | 1.08 | 5.03 | 5.44 | 1.00 | 1.10 | 7.26 | 5.79 | 1.00 | 1.09 | 6.66 | 5.49 |
| 2 | 2 | 2 | 2 | 1.00 | 1.04 | 2.07 | 3.13 | 1.00 | 1.09 | 2.26 | 3.20 | 1.00 | 1.05 | 2.12 | 3.22 | 1.00 | 1.09 | 2.27 | 3.22 |
| 2 | 2 | 5 | 5 | 1.00 | 1.17 | 1.23 | 2.36 | 1.00 | 1.29 | 1.45 | 2.44 | 1.00 | 1.19 | 1.24 | 2.41 | 1.00 | 1.30 | 1.44 | 2.45 |
| 2 | 2 | 10 | 10 | 1.00 | 1.66 | 1.04 | 2.25 | 1.00 | 1.79 | 1.23 | 2.33 | 1.00 | 1.69 | 1.04 | 2.29 | 1.00 | 1.80 | 1.23 | 2.34 |
| 5 | 5 | 2 | 2 | 1.00 | 1.03 | 2.20 | 2.69 | 1.00 | 1.03 | 2.08 | 2.48 | 1.00 | 1.04 | 2.25 | 2.76 | 1.00 | 1.03 | 2.10 | 2.51 |
| 5 | 5 | 5 | 5 | 1.00 | 1.04 | 1.22 | 1.71 | 1.00 | 1.06 | 1.25 | 1.65 | 1.00 | 1.04 | 1.23 | 1.74 | 1.00 | 1.07 | 1.25 | 1.66 |
| 5 | 5 | 10 | 10 | 1.00 | 1.22 | 1.03 | 1.48 | 1.00 | 1.23 | 1.07 | 1.46 | 1.00 | 1.23 | 1.03 | 1.50 | 1.00 | 1.23 | 1.07 | 1.46 |
| 10 | 10 | 10 | 10 | 1.00 | 1.08 | 1.03 | 1.24 | 1.00 | 1.07 | 1.03 | 1.20 | 1.00 | 1.08 | 1.03 | 1.25 | 1.00 | 1.08 | 1.03 | 1.20 |
Efficiency TPS relative to estimator A = variance of A/variance of TPS.