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 3 Estimates of 5-year RS and LLE for setting 2 and scenarios F-I. 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 setting 2, different methods 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 LLE estimates are for the Stockholm region. 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,^f
		PE	SE	LCI	UCI	RP^c	PE	SE	LCI	UCI	RP
men, 55 years at diagnosis
Conventional^d	2	0.639	0.026	0.585	0.687	0.00	12.74	0.87	11.03	14.44	0.00
Bootstrap^e	F	0.639	0.026	0.585	0.687	0.00	12.74	0.87	11.03	14.44	0.10
-based	G	0.639	0.026	0.585	0.687	0.01	12.74	0.87	11.02	14.45	0.86
	H	0.639	0.026	0.585	0.687	0.23	12.72	0.94	10.87	14.57	17.68
	I	0.640	0.026	0.586	0.689	2.32	12.73	1.47	9.84	15.62	186.49
men, 65 years at diagnosis
Conventional	2	0.636	0.021	0.593	0.675	0.00	7.83	0.45	6.95	8.70	0.00
Bootstrap	F	0.636	0.021	0.593	0.675	0.00	7.83	0.45	6.95	8.70	0.20
-based	G	0.636	0.021	0.593	0.675	0.03	7.83	0.45	6.95	8.71	1.81
	H	0.636	0.021	0.593	0.676	0.55	7.82	0.52	6.80	8.85	37.16
	I	0.638	0.022	0.594	0.679	5.58	7.89	1.00	5.92	9.85	403.74
men, 75 years at diagnosis
Conventional	2	0.629	0.021	0.586	0.669	0.00	4.34	0.24	3.86	4.81	0.00
Bootstrap	F	0.629	0.021	0.586	0.669	0.01	4.34	0.24	3.86	4.81	0.37
-based	G	0.629	0.021	0.586	0.669	0.07	4.34	0.25	3.86	4.82	3.21
	H	0.629	0.021	0.586	0.670	1.43	4.34	0.31	3.73	4.95	65.54
	I	0.630	0.023	0.584	0.673	13.86	4.45	0.73	3.02	5.88	810.92
men, 85 years at diagnosis
Conventional	2	0.581	0.030	0.520	0.638	0.00	2.03	0.14	1.75	2.30	0.00
Bootstrap	F	0.581	0.030	0.520	0.638	0.03	2.03	0.14	1.75	2.30	0.46
-based	G	0.581	0.030	0.519	0.638	0.20	2.03	0.14	1.74	2.31	3.96
	H	0.580	0.031	0.517	0.638	3.95	2.04	0.19	1.66	2.41	84.42
	I	0.575	0.036	0.502	0.642	41.27	2.16	0.53	1.13	3.19	1286.02
women, 55 years at diagnosis
Conventional	2	0.662	0.025	0.611	0.709	0.00	12.26	0.92	10.46	14.06	0.00
Bootstrap	F	0.662	0.025	0.611	0.709	0.00	12.26	0.92	10.46	14.06	0.05
-based	G	0.662	0.025	0.611	0.709	0.01	12.26	0.92	10.45	14.06	0.48
	H	0.663	0.025	0.611	0.709	0.36	12.25	0.96	10.36	14.14	10.37
	I	0.665	0.025	0.612	0.711	4.08	12.18	1.30	9.64	14.72	99.20
women, 65 years at diagnosis
Conventional	2	0.660	0.020	0.619	0.697	0.00	7.93	0.48	6.99	8.88	0.00
Bootstrap	F	0.660	0.020	0.619	0.697	0.01	7.93	0.48	6.99	8.88	0.10
-based	G	0.660	0.020	0.619	0.697	0.02	7.93	0.48	6.98	8.88	1.04
	H	0.660	0.020	0.619	0.697	0.48	7.93	0.53	6.88	8.97	21.90
	I	0.662	0.020	0.621	0.701	5.50	7.93	0.85	6.26	9.61	214.02
women, 75 years at diagnosis
Conventional	2	0.653	0.020	0.612	0.692	0.00	4.73	0.28	4.18	5.29	0.00
Bootstrap	F	0.653	0.020	0.612	0.692	0.01	4.73	0.28	4.18	5.29	0.18
-based	G	0.653	0.020	0.612	0.692	0.03	4.73	0.29	4.17	5.29	1.71
	H	0.654	0.020	0.612	0.692	0.66	4.73	0.33	4.09	5.38	36.30
	I	0.655	0.021	0.612	0.695	6.68	4.80	0.64	3.55	6.05	406.77
women, 85 years at diagnosis
Conventional	2	0.607	0.027	0.553	0.658	0.00	2.35	0.16	2.04	2.67	0.00
Bootstrap	F	0.608	0.027	0.553	0.658	0.03	2.35	0.16	2.03	2.67	0.25
-based	G	0.607	0.027	0.552	0.658	0.15	2.36	0.16	2.03	2.68	2.28
	H	0.607	0.027	0.551	0.658	3.13	2.37	0.20	1.98	2.75	48.53
	I	0.602	0.031	0.539	0.660	32.32	2.48	0.47	1.56	3.39	718.93

^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-used refers to the parametric bootstrap approach used for including uncertainty in population mortality rates in the estimation of SEs
^fLLE estimates are presented for the Stockholm region

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