Assessing the impact of including variation in general population mortality on standard errors of relative survival and loss in life expectancy

Table 5 Marginal estimates of 5-year RS and LLE for all investigated settings and scenarios. Marginal point estimates (PE) of 5-year relative survival (RS) and loss in life expectancy (LLE), with lower (LCI) and upper (UCI) confidence intervals, standard errors (SE) and relative % precision (RP) from different methods, settings and scenarios for including uncertainty in the general population mortality when estimating SEs. For settings 1 and 1S general population mortality rates are stratified by age, sex and calendar year. For settings 2 and 2S general population mortality rates are stratified by age, sex, calendar year and region. RP illustrates comparison of the conventional method to a bootstrap-based method

Method	Setting / scenario^b	5-year Relative Survival (RS)					Loss in life expectancy (LLE)^a
		PE	SE	LCI	UCI	RP^c	PE	SE	LCI	UCI	RP
Conventional^d	1	0.632	0.011	0.611	0.654	0.00	5.40	0.16	5.09	5.71	0.00
Bootstrap-based^e	A	0.632	0.011	0.611	0.654	0.01	5.40	0.16	5.09	5.71	0.11
	B	0.632	0.011	0.611	0.654	0.16	5.40	0.16	5.08	5.71	1.08
	C	0.632	0.011	0.610	0.655	3.08	5.40	0.17	5.06	5.74	21.82
	D	0.632	0.013	0.608	0.658	30.55	5.40	0.28	4.85	5.95	214.25
Conventional	2	0.631	0.011	0.610	0.653	0.00	5.40	0.16	5.09	5.71	0.00
Bootstrap-based	F	0.631	0.011	0.610	0.653	0.02	5.40	0.16	5.09	5.71	0.11
	G	0.631	0.011	0.610	0.653	0.15	5.40	0.16	5.09	5.72	1.09
	H	0.631	0.011	0.609	0.654	3.07	5.41	0.18	5.07	5.76	22.41
	I	0.631	0.013	0.606	0.656	30.06	5.58	0.32	4.95	6.21	313.01
Conventional	1S^f	0.619	0.037	0.550	0.695	0.00	5.19	0.51	4.19	6.19	0.00
Bootstrap-based	E	0.619	0.037	0.550	0.695	0.02	5.19	0.51	4.19	6.19	0.11
Conventional	2S^f	0.617	0.037	0.549	0.693	0.00	5.19	0.51	4.19	6.19	0.00
Bootstrap-based	J	0.616	0.037	0.549	0.693	-0.01	5.19	0.51	4.19	6.19	0.15

^aLLE is presented in years
^bSee Table 1 for information on the different settings and scenarios
^cRP is presented in %
^dConventional refers to the standard method for estimating SEs, where the general population mortality is assumed to be measured without uncertainty
^eBootstrap-based refers to the parametric bootstrap approach used for including uncertainty in population mortality rates in the estimation of SEs
^fS stands for small and refers to the setting to investigate what would be observed for a smaller population

ISSN: 1471-2288