A new cure model that corrects for increased risk of non-cancer death: analysis of reliability and robustness, and application to real-life data

Table 4 Performance indicators of Model(1) when applied to data generated with exponential-Weibull distribution of survival for uncured patients

Scenario	θ	AB				SD				CVR
Scenario	θ	α	π₆₀	β	δ	α	π₆₀	β	δ	α	π₆₀	β	δ
BREAST^a	0.25	− 0.021	− 0.058	− 0.069	0.038	0.061	0.057	0.152	0.125	92%	96%	95%	92%
	0.5	−0.024	− 0.045	− 0.069	0.040	0.072	0.040	0.156	0.126	93%	93%	94%	93%
	0.625	−0.021	−0.035	−0.058	0.031	0.078	0.038	0.160	0.129	94%	95%	94%	94%
	0.8	−0.011	−0.019	−0.034	0.015	0.084	0.037	0.169	0.134	94%	96%	94%	93%
	1.25	0.010	0.013	0.018	−0.020	0.095	0.036	0.184	0.144	92%	87%	93%	93%
	1.6	0.009	0.029	0.027	−0.027	0.096	0.037	0.190	0.148	93%	80%	93%	93%
	2	−0.003	0.038	0.017	−0.026	0.092	0.038	0.193	0.150	94%	73%	94%	94%
	4	−0.014	0.082	0.018	−0.026	0.062	0.047	0.315	0.227	96%	35%	97%	94%
LUNG^b	0.25	−0.106	− 0.001	0.003	0.002	0.185	0.004	0.061	0.027	91%	94%	95%	94%
	0.5	−0.105	−0.001	− 0.003	0.005	0.193	0.004	0.063	0.024	91%	95%	95%	95%
	0.625	−0.092	0.000	− 0.005	0.005	0.198	0.004	0.064	0.023	93%	96%	95%	95%
	0.8	−0.056	0.001	−0.002	0.004	0.201	0.004	0.064	0.023	95%	94%	96%	95%
	1.25	0.072	0.005	0.014	0.001	0.213	0.005	0.065	0.023	95%	85%	95%	94%
	1.6	0.194	0.008	0.032	−0.003	0.225	0.005	0.066	0.023	87%	65%	92%	94%
	2	0.340	0.012	0.056	−0.007	0.239	0.005	0.066	0.023	70%	36%	86%	93%
	4	0.815	0.028	0.158	−0.029	0.270	0.006	0.071	0.027	7%	0%	36%	76%

Absolute Bias (AB) = Mean(estimates - true value); Standard Deviation (SD) = standard deviation over the set of 1000 estimates; Coverage (CVR) = the proportion of the time that the estimated 95% confidence intervals contained the true value
Estimated over 1000 simulation runs; Sample size 10,000; follow-up 15 years
The performance indicators for λ and γ are omitted from the table, even if estimated, due to impossibility to compare the estimated values with the fixed true values used in the simulation process
^aTrue values: α = 1.2, π₆₀,=0.7, λ = 0.1, γ = 1.1, β = − 0.15 and δ = 0
^bTrue values: α = 2, π₆₀,=0.1, λ = 0.9, γ = 0.8, β = − 0.75 and δ = − 0.3.

ISSN: 1471-2288