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Corrigendum: A logrank test-based method for sizing clinical trials with two co-primary time-to-event endpoints (10.1093/biostatistics/kxs057) Tomoyuki Sugimoto Takashi Sozu Toshimitsu Hamasaki Scott R. EvansBiostat (2016) 17 (3): 603-604. DOI: https://doi.org/10.1093/biostatistics/kxw021Published: 15 March 2016This is a correction to: Biostat (2013) 14 (3): 409-421. Views PDFCite Share Tools search filter search input A logrank test-based method for sizing clinical trials with two co-primary time-to-event endpoints ( 10.1093/biostatistics/kxs057 )
In the article by Tomoyuki Sugimoto et al . (’A logrank Test-Based Method for Sizing Clinical Trials With Two Co-Primary Time-to-Event Endpoints'), there were errors on pages 409–421 of issue 14(3) of Biostatistics .
In Section 4.2 on p. 418, the article described “the total sample size is 928 commonly for the three copulas when ρ=0ρ=0 . When ρ=0.3,0.5ρ=0.3,0.5 , and 0.8, they are 928, 926, and 924 for the Clayton copula; 926, 922, and 920 for the Gumbel copula; and 926, 924, and 920 for the Frank copula.” However, these numbers were calculated with the two hazard ratios ψ1=1.77ψ1=1.77 and ψ2=1.39ψ2=1.39 , not ψ−11=1.77ψ1−1=1.77 and ψ−12=1.39ψ2−1=1.39 . The corrected numbers are as follows:
ρρ Clayton Gumbel Frank 0.0 1220 1220 1220 0.3 1218 1210 1212 0.5 1216 1202 1204 0.8 1210 1188 1188 Also Figure 1 on p. 419 is corrected as below. The authors apologize for these errors.
Fig. 1 Contour plots of the required total sample size with the hazard ratios of time-to-events of virologic and regimen failures, and correlation for the three copulas. The sample size was calculated to detect the joint reduction for both time-to-event outcomes with the overall power of 0.90 at the one-sided significance level of 0.0125, where $\rho=\rho^{(1)}=\rho^{(2)}=0.0,\ 0.3,\ 0.5$ and 0.8; $S_1^{(1)}(96)=0.75$ and $S_2^{(1)}(96)=0.55$ ; $\tau_2=0$ , and $\tau_f=96$ ; $a^{(1)}=0.5$ . View largeDownload slideContour plots of the required total sample size with the hazard ratios of time-to-events of virologic and regimen failures, and correlation for the three copulas. The sample size was calculated to detect the joint reduction for both time-to-event outcomes with the overall power of 0.90 at the one-sided significance level of 0.0125, where ρ=ρ(1)=ρ(2)=0.0, 0.3, 0.5ρ=ρ(1)=ρ(2)=0.0, 0.3, 0.5 and 0.8; S(1)1(96)=0.75S1(1)(96)=0.75 and S(1)2(96)=0.55S2(1)(96)=0.55 ; τ2=0τ2=0 , and τf=96τf=96 ; a(1)=0.5a(1)=0.5 .View Original Article© The Author 2016. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com.
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