Quantifying the average of the time-varying hazard ratio via a class of transformations

Verfasser / Beitragende:
[Qingxia Chen, Donglin Zeng, Joseph Ibrahim, Ming-Hui Chen, Zhiying Pan, Xiaodong Xue]
Ort, Verlag, Jahr:
2015
Enthalten in:
Lifetime Data Analysis, 21/2(2015-04-01), 259-279
Format:
Artikel (online)
ID: 605476292
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024 7 0 |a 10.1007/s10985-014-9301-0  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10985-014-9301-0 
245 0 0 |a Quantifying the average of the time-varying hazard ratio via a class of transformations  |h [Elektronische Daten]  |c [Qingxia Chen, Donglin Zeng, Joseph Ibrahim, Ming-Hui Chen, Zhiying Pan, Xiaodong Xue] 
520 3 |a The hazard ratio derived from the Cox model is a commonly used summary statistic to quantify a treatment effect with a time-to-event outcome. The proportional hazards assumption of the Cox model, however, is frequently violated in practice and many alternative models have been proposed in the statistical literature. Unfortunately, the regression coefficients obtained from different models are often not directly comparable. To overcome this problem, we propose a family of weighted hazard ratio measures that are based on the marginal survival curves or marginal hazard functions, and can be estimated using readily available output from various modeling approaches. The proposed transformation family includes the transformations considered by Schemper et al. (Statist Med 28:2473-2489, 2009) as special cases. In addition, we propose a novel estimate of the weighted hazard ratio based on the maximum departure from the null hypothesis within the transformation family, and develop a Kolmogorov $$-$$ - Smirnov type of test statistic based on this estimate. Simulation studies show that when the hazard functions of two groups either converge or diverge, this new estimate yields a more powerful test than tests based on the individual transformations recommended in Schemper et al. (Statist Med 28:2473-2489, 2009), with a similar magnitude of power loss when the hazards cross. The proposed estimates and test statistics are applied to a colorectal cancer clinical trial. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Average hazard ratios  |2 nationallicence 
690 7 |a Crossing hazards  |2 nationallicence 
690 7 |a Non-proportional hazards  |2 nationallicence 
690 7 |a Survival analysis  |2 nationallicence 
690 7 |a Weighted estimation  |2 nationallicence 
700 1 |a Chen  |D Qingxia  |u Department of Biostatistics, Vanderbilt University, 37232, Nashville, TN, USA  |4 aut 
700 1 |a Zeng  |D Donglin  |u Department of Biostatistics, University of North Carolina, 27599, Chapel Hill, NC, USA  |4 aut 
700 1 |a Ibrahim  |D Joseph  |u Department of Biostatistics, University of North Carolina, 27599, Chapel Hill, NC, USA  |4 aut 
700 1 |a Chen  |D Ming-Hui  |u Department of Statistics, University of Connecticut, 215 Glenbrook Road, U-4120, 06269, Storrs, CT, USA  |4 aut 
700 1 |a Pan  |D Zhiying  |u Amgen Inc., One Amgen Center Drive, 91320, Thousand Oaks, CA, USA  |4 aut 
700 1 |a Xue  |D Xiaodong  |u Amgen Inc., One Amgen Center Drive, 91320, Thousand Oaks, CA, USA  |4 aut 
773 0 |t Lifetime Data Analysis  |d Springer US; http://www.springer-ny.com  |g 21/2(2015-04-01), 259-279  |x 1380-7870  |q 21:2<259  |1 2015  |2 21  |o 10985 
856 4 0 |u https://doi.org/10.1007/s10985-014-9301-0  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10985-014-9301-0  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chen  |D Qingxia  |u Department of Biostatistics, Vanderbilt University, 37232, Nashville, TN, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zeng  |D Donglin  |u Department of Biostatistics, University of North Carolina, 27599, Chapel Hill, NC, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ibrahim  |D Joseph  |u Department of Biostatistics, University of North Carolina, 27599, Chapel Hill, NC, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chen  |D Ming-Hui  |u Department of Statistics, University of Connecticut, 215 Glenbrook Road, U-4120, 06269, Storrs, CT, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Pan  |D Zhiying  |u Amgen Inc., One Amgen Center Drive, 91320, Thousand Oaks, CA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xue  |D Xiaodong  |u Amgen Inc., One Amgen Center Drive, 91320, Thousand Oaks, CA, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Lifetime Data Analysis  |d Springer US; http://www.springer-ny.com  |g 21/2(2015-04-01), 259-279  |x 1380-7870  |q 21:2<259  |1 2015  |2 21  |o 10985