Table 1.
Proportion censored | Estimated coefficient | Partial | WEE-1 | WEE-2 | Profile | |||||
---|---|---|---|---|---|---|---|---|---|---|
Bias | SE | Bias | SE | Bias | SE | Bias | SE | RE | ||
Scenario I: λ0(t) = 2 | ||||||||||
0% | β̂1 | 6 | 133 | −1 | 98 | −1 | 98 | −2 | 98 | 1.84 |
β̂2 | 5 | 83 | 0 | 65 | 0 | 65 | −2 | 65 | 1.60 | |
30% | β̂1 | 6 | 151 | −46 | 136 | 2 | 120 | 1 | 108 | 1.98 |
β̂2 | 6 | 94 | −57 | 90 | 2 | 82 | 4 | 77 | 1.50 | |
50% | β̂1 | 10 | 171 | −113 | 189 | 10 | 157 | 12 | 122 | 1.96 |
β̂2 | 6 | 112 | −125 | 115 | 2 | 98 | 10 | 90 | 1.53 | |
Scenario II: λ0(t) = 2t | ||||||||||
0% | β̂1 | 4 | 118 | 0 | 98 | 0 | 98 | −1 | 97 | 1.45 |
β̂2 | 2 | 74 | 0 | 63 | 0 | 63 | −1 | 63 | 1.40 | |
30% | β̂1 | 3 | 132 | −21 | 137 | 9 | 121 | 3 | 105 | 1.58 |
β̂2 | 5 | 89 | −28 | 90 | 4 | 80 | 2 | 73 | 1.46 | |
50% | β̂1 | 6 | 159 | −101 | 206 | 10 | 154 | 5 | 118 | 1.82 |
β̂2 | 8 | 100 | −97 | 118 | 6 | 96 | 5 | 79 | 1.62 | |
Scenario III: λ0(t) = 0.5(t − 2)2 | ||||||||||
0% | β̂1 | 6 | 112 | 5 | 104 | 5 | 104 | 5 | 104 | 1.17 |
β̂2 | 6 | 69 | 5 | 65 | 5 | 65 | 5 | 64 | 1.14 | |
30% | β̂1 | 10 | 134 | 10 | 143 | 10 | 130 | 9 | 122 | 1.21 |
β̂2 | 7 | 82 | 0 | 85 | 3 | 80 | 4 | 77 | 1.14 | |
50% | β̂1 | 9 | 151 | −34 | 216 | 7 | 154 | 6 | 134 | 1.27 |
β̂2 | 7 | 97 | −35 | 123 | 7 | 98 | 5 | 88 | 1.20 |
Partial, the maximum partial likelihood estimator; WEE-1 and WEE-2, estimators derived by solving U1(β) = 0 and U2(β) = 0; Profile, the maximum pseudo-profile likelihood estimator; Bias and ES, empirical bias (×1000) and empirical standard deviation (×1000) of 2000 regression parameter estimates; RE, the empirical variance of the maximum partial likelihood estimator divided by that of the maximum pseudo-profile likelihood estimator.