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. Author manuscript; available in PMC: 2011 Nov 9.
Published in final edited form as: Ann Appl Stat. 2011 Sep 1;5(3):2003–2023. doi: 10.1214/11-aoas458

Table 1.

Simulation results for parameter estimation (ϑ̂) based on 200 Monte Carlo data sets, where ϑ = 1. PL-AFT, partly linear AFT model with r knots; SK-AFT, stratified AFT estimator with K strata; AFT, standard linear AFT model with both Xi and Zi modeled linearly; and AFT-φ, AFT model with true φ plugged in. Range of SEs, the range of SEs for the corresponding performance measure in each column. NA, SE of a performance measure can not be computed for SD. All numbers are multiplied by 1000.

φ(X) = 2X φ(X) = 2X2
Bias SD MSE Bias SD MSE

n = 50
PL-AFT (r = 2) -12 159 25 -2 166 28
PL-AFT (r = 4) -10 159 25 -1 168 28
S5-AFT 95 288 92 -65 436 195
S10-AFT 28 223 50 -43 299 91
S25-AFT 31 303 93 -38 381 146
AFT -4 153 23 21 1214 1475
AFT-φ -7 154 24 -5 158 25
n = 100
PL-AFT (r = 2) -9 113 13 -2 115 13
PL-AFT (r = 4) -9 113 13 -1 115 13
S10-AFT 44 163 29 -23 210 45
S25-AFT 1 157 25 -9 185 34
S50-AFT -7 193 37 8 209 44
AFT -8 113 13 71 755 575
AFT-φ -9 113 13 -2 111 12

Range of SEs 8-21 NA 1-12 8-86 NA 1-209