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. 2022 Jan 28;41(10):1735–1750. doi: 10.1002/sim.9325

TABLE 3.

Bias and mean squared error (MSE) of the log relative incidence θ=log(ρ) (Monte Carlo SE) when a proportion p of cases die of causes unrelated to the event, for selected values of p and ρ

Proportion p
ρ=1
ρ=2
ρ=3
ρ=4
p=0
Bias 0.0021 (0.0028) 0.0010 (0.0028) 0.0023 (0.0028) 0.0020 (0.0028)
MSE 0.0079 (0.0004) 0.0076 (0.0003) 0.0077 (0.0003) 0.0076 (0.0004)
p=0.1
Bias 0.0045 (0.0030) 0.0148 (0.0028) 0.0219 (0.0027) 0.0268 (0.0028)
MSE 0.0089 (0.0004) 0.0081 (0.0004) 0.0077 (0.0004) 0.0086 (0.0004)
p=0.2
Bias 0.0072 (0.0030) 0.0244 (0.0028) 0.0302 (0.0028) 0.0496 (0.0028)
MSE 0.0088 (0.0004) 0.0085 (0.0004) 0.0085 (0.0004) 0.0102 (0.0004)
p=0.3
Bias 0.0076 (0.0031) 0.0285 (0.0028) 0.0526 (0.0029) 0.0651 (0.0030)
MSE 0.0096 (0.0004) 0.0085 (0.0004) 0.0110 (0.0005) 0.0133 (0.0005)