. Author manuscript; available in PMC: 2022 Jan 1.

Published in final edited form as: J Am Stat Assoc. 2020 Feb 10;116(535):1330–1345. doi: 10.1080/01621459.2020.1713792

Table 6:

Joint survival probability estimators $(\hat{F})$ for breast cancer incidence and total mortality in the Women’s Health Initiative Dietary Modification Trial (n = 48,835, with 1764 women with incident breast cancers, 2508 deaths, and 134 women with both breast cancer and death during the 8.5 year average trial intervention period).

Follow-up Years for Breast Cancer (T₁)		Comparison Group (z = 0)			Intervention Group (z = 1)
		Follow-up Years for Mortality (T₂)			Follow-up Years for Mortality (T₂)
		3	6	9	3	6	9

3	$\hat{F}$	0.979	0.961	0.936	0.980	0.962	0.937
	95% CI^a	(0.978,0.980)	(0.959,0.963)	(0.933,0.939)	(0.979,0.981)	(0.960,0.965)	(0.934,0.941)
	95% CB^b	(0.975,0.983)	(0.957,0.965)	(0.932,0.940)	(0.975,0.985)	(0.957,0.968)	(0.932,0.942)
6	$\hat{F}$	0.965	0.947	0.923	0.967	0.949	0.925
	95% CI	(0.962,0.967)	(0.945,0.950)	(0.919,0.926)	(0.965,0.969)	(0.947,0.952)	(0.921,0.929)
	95% CB	(0.961,0.968)	(0.943,0.951)	(0.919,0.926)	(0.962,0.972)	(0.944,0.954)	(0.920,0.930)
9	$\hat{F}$	0.951	0.933	0.909	0.954	0.937	0.912
	95% CI	(0.948,0.953)	(0.930,0.936)	(0.905,0.913)	(0.951,0.957)	(0.933,0.940)	(0.908,0.917)
	95% CB	(0.947,0.955)	(0.929,0.937)	(0.905,0.913)	(0.949,0.959)	(0.932,0.942)	(0.907,0.917)

95% confidence intervals for F given z based on 200 bootstrap replicates.

95% supremum-type confidence bands for F given z over the region [0, 9] × [0, 9] years, based on 200 bootstrap replicates.