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. Author manuscript; available in PMC: 2017 Jan 30.
Published in final edited form as: Stat Med. 2015 Aug 26;35(2):282–293. doi: 10.1002/sim.6623

Table 2.

Simulation result for comparison of two methods in stratified case-cohort study [β1, β2] = [0.1, 0]

Event Proportion [ν, η] τθ Proposed method
Kang et al.’s method
SRE1 Proposed method
Kang et al.’s method
SRE2
β̃1 SEp1 SDp1 CR β̂1 SEk1 SDk1 CR β̃2 SEp2 SDp2 CR β̂2 SEk2 SDk2 CR
[3%, 8%]
γ= [1, 1]		 [0.5, 0.5] 0.83 0.12 0.45 0.47 0.92 0.12 0.46 0.47 0.93 1.02 0.00 1.18 1.21 0.96 −0.01 1.19 1.21 0.96 1.00
0.43 0.09 0.44 0.45 0.93 0.09 0.46 0.46 0.93 1.04 −0.03 1.18 1.20 0.95 −0.03 1.19 1.20 0.95 1.01
0.11 0.12 0.45 0.46 0.92 0.12 0.46 0.47 0.92 1.04 0.01 1.17 1.17 0.96 0.01 1.19 1.18 0.96 1.02
0 0.10 0.45 0.45 0.93 0.10 0.46 0.46 0.93 1.04 0.00 1.17 1.19 0.96 0.00 1.19 1.21 0.96 1.03
[0.7, 0.7] 0.83 0.11 0.44 0.44 0.92 0.11 0.45 0.45 0.93 1.03 −0.04 1.14 1.14 0.96 −0.04 1.15 1.14 0.96 1.00
0.43 0.10 0.44 0.45 0.93 0.10 0.45 0.45 0.93 1.03 0.03 1.13 1.13 0.96 0.02 1.15 1.13 0.96 1.02
0.11 0.11 0.44 0.46 0.92 0.11 0.45 0.47 0.92 1.03 0.02 1.13 1.14 0.95 0.02 1.14 1.15 0.96 1.01
0 0.09 0.44 0.44 0.93 0.09 0.45 0.44 0.93 1.01 −0.02 1.12 1.12 0.96 −0.02 1.14 1.12 0.96 1.02
[11%, 50%]
γ= [0.35, 0.35]		 [0.5, 0.5] 0.83 0.10 0.31 0.32 0.96 0.09 0.40 0.40 0.96 1.60 0.00 1.67 1.70 0.95 0.01 1.68 1.72 0.95 1.02
0.43 0.11 0.33 0.33 0.95 0.12 0.40 0.40 0.96 1.44 0.05 1.67 1.71 0.95 0.05 1.68 1.72 0.95 1.01
0.11 0.11 0.35 0.34 0.95 0.11 0.40 0.40 0.96 1.41 −0.03 1.64 1.67 0.94 0.01 1.69 1.73 0.95 1.06
0 0.11 0.34 0.34 0.96 0.10 0.40 0.40 0.95 1.42 0.00 1.62 1.63 0.95 −0.02 1.68 1.70 0.95 1.08
[0.7, 0.7] 0.83 0.10 0.31 0.29 0.97 0.10 0.40 0.38 0.97 1.66 0.01 1.67 1.55 0.97 0.01 1.68 1.56 0.97 1.02
0.43 0.11 0.33 0.32 0.97 0.11 0.40 0.39 0.96 1.43 0.06 1.70 1.59 0.97 0.06 1.68 1.62 0.97 1.03
0.11 0.11 0.34 0.34 0.95 0.11 0.40 0.40 0.95 1.42 0.00 1.64 1.62 0.96 −0.02 1.67 1.65 0.96 1.05
0 0.11 0.34 0.32 0.97 0.11 0.40 0.37 0.97 1.35 0.00 1.63 1.57 0.96 0.00 1.68 1.61 0.96 1.05

SEi, the average of the estimates of standard error for βi; SDi, sample standard deviation for βi; CR, the coverage rate of the nominal 95% confidence intervals; SREi=SDki2/SDpi2, sample relative efficiency