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

Leontyeva, Yuliya; Bower, Hannah; Gauffin, Oskar; Lambert, Paul C; Andersson, Therese M.-L.

doi:10.1186/s12874-022-01597-7

Table 4 Estimates of 5-year RS and LLE for settings 1S, 2S and scenarios E, J. 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. Results are presented for men and women, aged 55, 65, 75 and 85 years at diagnosis, and in setting 2S, scenario J the LLE estimates are for the Stockholm region. For setting 1S general population mortality rates are stratified by age, sex and calendar year. For setting 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

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

Method	Setting / scenario^b	5-year Relative Survival (RS)					Loss in life expectancy (LLE)^a,^g
		PE	SE	LCI	UCI	RP^c	PE	SE	LCI	UCI	RP
men, 55 years at diagnosis
Conventional^d	1S^f	0.639	0.102	0.406	0.801	0.00	11.28	3.08	5.24	17.31	0.00
Bootstrap-based^e	E	0.639	0.102	0.405	0.801	0.01	11.28	3.08	5.24	17.31	0.03
men, 65 years at diagnosis
Conventional	1S	0.670	0.072	0.507	0.790	0.00	7.47	1.50	4.53	10.41	0.00
Bootstrap-based	E	0.670	0.072	0.507	0.790	0.00	7.47	1.50	4.53	10.41	0.06
men, 75 years at diagnosis
Conventional	1S	0.510	0.075	0.357	0.644	0.00	5.81	0.72	4.39	7.23	0.00
Bootstrap-based	E	0.510	0.075	0.357	0.644	0.00	5.81	0.72	4.39	7.23	0.16
men, 85 years at diagnosis
Conventional	1S	0.619	0.100	0.394	0.781	0.00	1.74	0.44	0.88	2.60	0.00
Bootstrap-based	E	0.619	0.101	0.394	0.781	0.03	1.74	0.44	0.88	2.60	0.18
women, 55 years at diagnosis
Conventional	1S	0.672	0.099	0.440	0.825	0.00	8.83	2.89	3.17	14.49	0.00
Bootstrap-based	E	0.672	0.099	0.440	0.825	0.00	8.83	2.89	3.17	14.49	0.00
women, 65 years at diagnosis
Conventional	1S	0.701	0.060	0.566	0.801	0.00	6.49	1.47	3.61	9.37	0.00
Bootstrap-based	E	0.701	0.060	0.566	0.801	0.00	6.49	1.47	3.61	9.37	0.04
women, 75 years at diagnosis
Conventional	1S	0.550	0.082	0.377	0.693	0.00	5.98	1.05	3.92	8.05	0.00
Bootstrap-based	E	0.550	0.082	0.377	0.693	0.00	5.98	1.05	3.92	8.05	0.07
women, 85 years at diagnosis
Conventional	1S	0.653	0.082	0.470	0.787	0.00	1.89	0.46	0.98	2.80	0.00
Bootstrap-based	E	0.653	0.082	0.470	0.787	0.03	1.89	0.46	0.98	2.80	0.11
men, 55 years at diagnosis
Conventional^d	2S^f	0.637	0.103	0.404	0.800	0.00	11.49	3.12	5.38	17.60	0.00
Bootstrap-based^e	J	0.637	0.102	0.404	0.800	-0.01	11.49	3.12	5.38	17.61	0.05
men, 65 years at diagnosis
Conventional	2S	0.668	0.072	0.505	0.788	0.00	7.65	1.54	4.64	10.66	0.00
Bootstrap-based	J	0.668	0.072	0.505	0.788	0.00	7.65	1.54	4.63	10.67	0.16
men, 75 years at diagnosis
Conventional	2S	0.509	0.074	0.356	0.643	0.00	6.03	0.75	4.56	7.51	0.00
Bootstrap-based	J	0.509	0.074	0.356	0.643	0.00	6.03	0.76	4.55	7.51	0.62
men, 85 years at diagnosis
Conventional	2S	0.612	0.100	0.389	0.774	0.00	1.88	0.47	0.96	2.79	0.00
Bootstrap-based	J	0.612	0.100	0.389	0.774	0.01	1.88	0.47	0.96	2.80	0.50
women, 55 years at diagnosis
Conventional	2S	0.673	0.098	0.443	0.825	0.00	8.93	2.94	3.17	14.69	0.00
Bootstrap-based	J	0.673	0.098	0.443	0.825	-0.01	8.93	2.94	3.17	14.69	0.03
women, 65 years at diagnosis
Conventional	2S	0.702	0.060	0.567	0.802	0.00	6.59	1.50	3.64	9.54	0.00
Bootstrap-based	J	0.702	0.060	0.567	0.802	0.00	6.59	1.50	3.65	9.54	0.06
women, 75 years at diagnosis
Conventional	2S	0.553	0.082	0.380	0.695	0.00	6.17	1.11	4.00	8.33	0.00
Bootstrap-based	J	0.553	0.082	0.380	0.695	0.00	6.17	1.11	4.00	8.33	0.14
women, 85 years at diagnosis
Conventional	2S	0.649	0.081	0.467	0.783	0.00	2.03	0.50	1.05	3.01	0.00
Bootstrap-based	J	0.649	0.081	0.467	0.783	0.00	2.03	0.50	1.05	3.01	0.20

^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
^gLLE estimates in setting 2S and scenario J are presented for the Stockholm region

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