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. 2012 Jan 27;99(1):199–210. doi: 10.1093/biomet/asr072

Table 1.

Summary statistics for the estimated regression parameters under independent censoring

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.