. Author manuscript; available in PMC: 2022 Jan 3.

Published in final edited form as: Stat Med. 2018 Oct 23;38(6):917–932. doi: 10.1002/sim.8015

TABLE 4.

Conditional inferences for survival outcomes: $({\hat{w}}_{1}, {\hat{w}}_{2}, {\hat{w}}_{3}, {\hat{w}}_{4}) = (0.242, 0.059, 0.536, 0.162)$ and $({\hat{π}}_{1}, {\hat{π}}_{2}, {\hat{π}}_{3}, {\hat{π}}_{4}) = (0.178, 0.444, 0.333, 0.510)$ in Australia; $({\hat{w}}_{1}, {\hat{w}}_{2}, {\hat{w}}_{3}, {\hat{w}}_{4}) = (0.272, 0.035, 0.570, 0.123)$ and $({\hat{π}}_{1}, {\hat{π}}_{2}, {\hat{π}}_{3}, {\hat{π}}_{4}) = (0.315, 0.320, 0.320, 0.382)$ in Britain; and $({\hat{w}}_{1}, {\hat{w}}_{2}, {\hat{w}}_{3}, {\hat{w}}_{4}) = (0.196, 0.048, 0.511, 0.245)$ and $({\hat{π}}_{1}, {\hat{π}}_{2}, {\hat{π}}_{3}, {\hat{π}}_{4}) = (0.336, 0.257, 0.330, 0.335)$ in USA. Bias stands for the empirical bias. ESE stands for the empirical standard errors. CP1 and CP2 stand for the empirical coverage levels of upper and lower 97.5% confidence intervals, respectively

Country	n	θ	Bias	ESE	CP1	CP2
Australia	302	$\hat{θ}$	0.067	0.149	0.945	0.990
		${\hat{θ}}_{π w}$	0.003	0.161	0.967	0.961
		${\hat{θ}}_{new}$	0.006	0.160	0.966	0.962

GBR	723	$\hat{θ}$	0.002	0.093	0.980	0.976
		${\hat{θ}}_{π w}$	0.000	0.093	0.976	0.969
		${\hat{θ}}_{new}$	0.000	0.094	0.977	0.970

USA	3894	$\hat{θ}$	0.029	0.041	0.907	0.997
		${\hat{θ}}_{π w}$	0.000	0.042	0.976	0.974
		${\hat{θ}}_{new}$	−0.000	0.042	0.976	0.976