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. Author manuscript; available in PMC: 2022 Jan 8.
Published in final edited form as: Stat Med. 2021 Apr 28;40(17):3865–3880. doi: 10.1002/sim.9003

TABLE 1.

Assumed design parameters when the true sensitivity function is Se(k) = fH(p, k, d = 0.075) and k^opt is chosen with the assumption that d = 0.01, 0.05, 0.1, or 0.3

Unconstrained
Constrained
p d k^opt kopt Se^(k^opt) Se(k^opt) Se(kopt) E^(Tk^opt) E^(Tk^opt) E(T|kopt) k^opt kopt Se^(k^opt) Se(k^opt) Se(kopt) E^(Tk^opt) E^(Tk^opt) E(T|kopt)
0.01 0 11 12 1 0.836 0.831 0.196 0.178 0.178 11 1 1 0.836 1 0.196 0.178 1
0.01 11 12 0.976 0.836 0.831 0.193 0.178 0.178 11 1 0.976 0.836 1 0.193 0.178 1
0.05 12 12 0.884 0.831 0.831 0.184 0.178 0.178 2 1 0.966 0.95 1 0.519 0.519 1
0.1 13 12 0.775 0.826 0.831 0.172 0.178 0.178 1 1 1 1 1 1 1 1
0.3 21 12 0.404 0.797 0.831 0.125 0.199 0.178 1 1 1 1 1 1 1 1
0.05 0 5 6 1 0.889 0.877 0.426 0.401 0.399 5 2 1 0.889 0.951 0.426 0.401 0.593
0.01 5 6 0.984 0.889 0.877 0.423 0.401 0.399 5 2 0.984 0.889 0.951 0.423 0.401 0.593
0.05 5 6 0.925 0.889 0.877 0.409 0.401 0.399 2 2 0.967 0.951 0.951 0.594 0.593 0.593
0.1 6 6 0.84 0.877 0.877 0.389 0.399 0.399 1 2 1 1 0.951 1 1 0.593
0.3 10 6 0.514 0.845 0.877 0.306 0.439 0.399 1 2 1 1 0.951 1 1 0.593
0.1 0 4 4 1 0.906 0.906 0.594 0.562 0.562 4 2 1 0.906 0.952 0.594 0.562 0.681
0.01 4 4 0.987 0.906 0.906 0.589 0.562 0.562 4 2 0.987 0.906 0.952 0.589 0.562 0.681
0.05 4 4 0.937 0.906 0.906 0.572 0.562 0.562 2 2 0.968 0.952 0.952 0.684 0.681 0.681
0.1 4 4 0.877 0.906 0.906 0.552 0.562 0.562 1 2 1 1 0.952 1 1 0.681
0.3 25 4 0.414 0.797 0.906 0.424 0.779 0.562 1 2 1 1 0.952 1 1 0.681

Note: Results are given for designs chosen based on solving the unconstrained and constrained optimization problems.