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. Author manuscript; available in PMC: 2015 Jun 15.
Published in final edited form as: Stat Med. 2014 Jan 8;33(13):2178–2190. doi: 10.1002/sim.6083

Table 3.

Summary of Type I error simulation with N = 216 and balanced allocation of subjects to B groups. Results are displayed as the number (%) of cells in simulation experiment where type I error was significantly below or above the nominal 5% based on simulation error bounds, and the range of observed type I error rates.

Model Below Above Type I Error Range
nB = 6 AB (KR nobound) 13 (41%) 16 (50%) 1.8–13.1
AB (KR bound) 25 (78%) 0 (0%) 1.4–4.5
A (KR nobound) 1 (3%) 13 (41%) 3.5–27.0
A (emp) 0 (0%) 31 (97%) 6.3–36.5
B (KR nobound) 1 (3%) 14 (44%) 3.6–27.5
B (emp) 0 (0%) 32 (100%) 6.9–36.3
IND 0 (0%) 24 (75%) 4.6–53.3

nB = 18 AB (KR nobound) 17 (35%) 0 (0%) 2.7–6.1
AB (KR bound) 30 (63%) 1 (2%) 1.4–6.4
A (KR nobound) 0 (0%) 9 (19%) 4.0–15.2
A (emp) 0 (0%) 48 (100%) 6.5–22.0
B (KR nobound) 1 (2%) 24 (50%) 3.5–35.5
B (emp) 0 (0%) 32 (67%) 5.2–38.5
IND 0 (0%) 33 (69%) 4.6–42.7

nB = 36 AB (KR nobound) 17 (35%) 2 (4%) 2.3–6.5
AB (KR bound) 27 (56%) 1 (2%) 1.5–6.5
A (KR nobound) 1 (2%) 10 (21%) 3.3–12.3
A (emp) 0 (0%) 48 (100%) 7.0–18.1
B (KR nobound) 1 (2%) 25 (52%) 3.5–38.1
B (emp) 0 (0%) 28 (58%) 4.3–39.4
IND 0 (0%) 33 (69%) 4.5–39.9

nB = 72 AB (KR nobound) 18 (38%) 1 (2%) 2.2–6.7
AB (KR bound) 23 (48%) 1 (2%) 1.9–7.0
A (KR nobound) 1 (2%) 6 (13%) 3.6–7.6
A (emp) 0 (0%) 48 (100%) 6.5–12.2
B (KR nobound) 0 (0%) 25 (52%) 3.7–39.7
B (emp) 0 (0%) 25 (52%) 4.0–40.1
IND 0 (0%) 31 (65%) 4.1–38.7