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. Author manuscript; available in PMC: 2014 Jan 22.
Published in final edited form as: J Biom Biostat. 2012 May 19;7:15. doi: 10.4172/2155-6180.S7-015

Table 5.

Empirical global type I error rates, empirical significance level for each endpoint and proportion of not terminating the trial early using O’Brien-Fleming boundaries and assuming unequal allocation of the type I error rate of 0.03 for PFS and 0.02 for OS; results based on 10,000 simulations

Type of Copula τ Empirical Global Type I PFS OS

Error Rate 1st Interim Final Analysis Type I Error 1st Interim Final Analysis Type I Error
Type-I error rate 0.05 0.00042 0.02990 0.03 0.0014 0.01938 0.020
Independence 0 0.048 0.0004 0.0305 0.0307 0.0009 0.0176 0.0178
Normal 0.10 0.051 0.0008 0.0310 0.0318 0.0011 0.0199 0.0202
0.30 0.049 0.0005 0.0294 0.0295 0.0016 0.0211 0.0220
0.50 0.046 0.0003 0.0312 0.0315 0.0006 0.0194 0.0195
0.70 0.039 0.0002 0.0302 0.0304 0.0001 0.0188 0.0192
Frank 0.10 0.045 0.0004 0.0254 0.0258 0.0013 0.0192 0.0196
0.30 0.049 0.0006 0.0300 0.0306 0.0015 0.0188 0.0194
0.50 0.045 0.0002 0.0302 0.0304 0.0016 0.0184 0.0191
0.70 0.041 0.0001 0.0301 0.0302 0.0013 0.0176 0.0183
Gumbel 0.10 0.050 0.0005 0.0296 0.0301 0.0016 0.0192 0.0200
0.30 0.047 0.0017 0.0317 0.0324 0.0013 0.0170 0.0173
0.50 0.043 0.0005 0.0299 0.0304 0.0009 0.0178 0.0181
0.70 0.042 0.0005 0.0316 0.0321 0.0011 0.0184 0.0190