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. Author manuscript; available in PMC: 2022 May 3.
Published in final edited form as: Ann Stat. 2021 Apr 2;49(2):793–819. doi: 10.1214/20-aos1978

TABLE 1.

Simulation study: results for individual package component effects. Unit costs were c1 = 1 and c2 = 8

eβ n 1j n 2j J β^11
β^12
%RelBias SEEMP.SD(×100) CP95 %RelBias SEEMP.SD(×100) CP95
Scenario 1 (J1 = J2 = J)
(1.2, 1.5) 50 100 6 −2.3 96.5 95.1 −1.9 84.1 94.0
10 −2.7 98.8 94.9 −1.2 92.2 95.2
20 −1.4 101.3 95.2 −0.3 102.7 95.6
200 6 −1.8 95.0 94.9 −2.6 81.0 95.4
10 −4.4 92.7 94.2 −1.0 91.9 95.2
20 −2.1 102.2 95.5 −0.2 99.7 95.2
100 100 6 −1.7 92.9 94.7 −1.5 86.2 95.5
10 2.8 101.9 95.7 −1.4 100.9 95.4
20 2.1 101.1 95.5 −0.5 101.6 95.0
200 6 −3.2 91.4 94.6 −0.8 83.6 95.5
10 −1.6 99.5 95.4 −0.6 94.9 95.3
20 −0.4 98.4 95.0 −0.3 97.5 94.5
(1.2, 2) 50 100 6 −16.0 91.6 95.4 0.7 86.0 96.0
10 −7.4 101.4 95.8 0.2 102.2 96.0
20 −3.6 99.6 95.2 −0.1 101.4 94.8
200 6 −11.8 89.9 95.1 0.7 89.7 95.1
10 −9.2 94.9 95.5 0.1 97.6 96.0
20 −2.7 100.0 95.0 −0.2 101.4 96.2
100 100 6 −7.6 94.5 95.8 −0.1 94.1 95.2
10 −2.1 98.2 94.8 −0.0 102.7 95.2
20 −3.7 100.3 95.2 0.2 102.7 95.5
200 6 −7.1 84.6 95.2 0.3 95.8 95.9
10 −4.6 96.4 94.7 0.0 99.6 95.5
20 −3.5 98.0 94.6 0.1 104.8 95.9
Scenario 2a (J1 = 6, J2 = 12)
(1.2, 1.5) 50 200 −3.8 96.4 95.5 −0.5 91.0 94.8
(1.2, 2) 50 200 −7.4 95.6 95.9 0.7 94.7 95.5
Scenario 2b (J1 = 10, J2 = 20)
(1.2, 1.5) 50 200 −3.1 96.9 94.6 −0.7 95.5 95.5
(1.2, 2) 50 200 −6.2 93.4 94.7 0.2 100.1 95.2

%RelBias, percent relative bias 100(β^β)/β; SE, mean estimated standard error; EMP.SD, empirical standard deviation; CP95, empirical coverage rate of 95% confidence intervals.