Skip to main content
. Author manuscript; available in PMC: 2016 Nov 30.
Published in final edited form as: Stat Med. 2015 Jul 14;34(27):3590–3605. doi: 10.1002/sim.6577

Table 1.

Bias in the estimated attenuation factor and correlation with true usual intake based on a fixed-intake model when a time-varying intake model pertains – a simple examplea

ω ϕ 0.1 0.5 2.0
ρ 12 0.9 0.5 0.1 0.9 0.5 0.1 0.9 0.5 0.1
True λR 0.32 0.25 0.19 0.30 0.24 0.17 0.24 0.19 0.14
Bias of λ^RF (%)b 2.6 3.7 4.4 12.9 16.6 22.2 52.5 66.8 90.9
Asymptotic Relative Bias (%) 2.6 3.3 4.5 13.2 16.7 22.7 52.6 66.7 90.9

True ρR 0.40 0.36 0.31 0.39 0.35 0.30 0.35 0.31 0.27
Bias of ρ^RF (%)b 0.0 −10.2 −22.4 10.0 0.9 −9.5 48.8 44.5 41.7
Asymptotic Relative Bias (%) 0.0 −10.5 −22.5 10.3 1.0 −9.0 48.8 44.3 41.6
a

For details of the example see Section 4

b

Relative bias: [(Mean of Estimate – True Value)/True Value] × 100%