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. Author manuscript; available in PMC: 2017 Feb 1.
Published in final edited form as: J R Stat Soc Ser C Appl Stat. 2015 Oct 26;65(2):273–297. doi: 10.1111/rssc.12117

Table 6.

Joint probabilities of final decisions for TTB and PFS for Scenarios 0, 6, 17, and 18 using three interim analyses. Operating characteristics for conventional bivariate sequential design using O’Brien Fleming monitoring boundaries are provided in parentheses, ().

Scenario 0: Identical mean TTB and PFS hazard (global null)
TTB Decision
PBT Better Indeterminate IMRT Better

PBT Better 0.00 (0.00) 0.02 (0.02) 0.00 (0.00)
PFS Decision Indeterminate 0.01 (0.01) 0.93 (0.93) 0.01 (0.01)
IMRT Better 0.00 (0.00) 0.02 (0.02) 0.00 (0.00)

Early Stopping Probability = 0.04 (0.01); Mean Sample Size = 178 (180)

Scenario 6: 50% reduction in mean TTB for PBT and PFS HR= 1 (null case)
TTB Decision
PBT Better Indeterminate IMRT Better

PBT Better 0.01 (0.005) 0.01 (0.01) 0.00 (0.00)
PFS Decision Indeterminate 0.88 (0.66) 0.07 (0.31) 0.00 (0.00)
IMRT Better 0.01 (0.005) 0.02 (0.01) 0.00 (0.00)

Early Stopping Probability = 0.68 (0.30); Mean Sample Size = 144 (167)

Scenario 17: 50% reduction in mean TTB for PBT and PFS HR= 2 (in favor of PBT)
TTB Decision
PBT Better Indeterminate IMRT Better

PBT Better 0.20 (0.16) 0.42 (0.65) 0.00 (0.00)
PFS Decision Indeterminate 0.37 (0.15) 0.01 (0.04) 0.00 (0.00)
IMRT Better 0.00 (0.00) 0.00 (0.00) 0.00 (0.00)

Early Stopping Probability = 0.89 (0.65); Mean Sample Size = 125 (152)

Scenario 18: 50% reduction in mean TTB for PBT and PFS HR= 0.5 (in favor of IMRT)
TTB Decision
PBT Better Indeterminate IMRT Better

PBT Better 0.00 (0.00) 0.00 (0.00) 0.00 (0.00)
PFS Decision Indeterminate 0.33 (0.35) 0.01 (0.02) 0.00 (0.00)
IMRT Better 0.21 (0.29) 0.45 (0.34) 0.00 (0.00)

Early Stopping Probability = 0.88 (0.73); Mean Sample Size = 126 (147)