Group sequential monitoring based on the weighted log‐rank test statistic with the Fleming–Harrington class of weights in cancer vaccine studies

In recent years, immunological science has evolved, and cancer vaccines are now approved and available for treating existing cancers. Because cancer vaccines require time to elicit an immune response, a delayed treatment effect is expected and is actually observed in drug approval studies. Accordingly, we propose the evaluation of survival endpoints by weighted log-rank tests with the Fleming-Harrington class of weights. We consider group sequential monitoring, which allows early efficacy stopping, and determine a semiparametric information fraction for the Fleming-Harrington family of weights, which is necessary for the error spending function. Moreover, we give a flexible survival model in cancer vaccine studies that considers not only the delayed treatment effect but also the long-term survivors. In a Monte Carlo simulation study, we illustrate that when the primary analysis is a weighted log-rank test emphasizing the late differences, the proposed information fraction can be a useful alternative to the surrogate information fraction, which is proportional to the number of events. Copyright © 2016 John Wiley & Sons, Ltd.

[1]  L. Crinò,et al.  Nivolumab versus Docetaxel in Advanced Squamous-Cell Non-Small-Cell Lung Cancer. , 2015, The New England journal of medicine.

[2]  D. Schadendorf,et al.  Improved survival with ipilimumab in patients with metastatic melanoma. , 2010, The New England journal of medicine.

[3]  C. Rudin,et al.  Nivolumab versus Docetaxel in Advanced Nonsquamous Non-Small-Cell Lung Cancer. , 2015, The New England journal of medicine.

[4]  J. Wolchok,et al.  Durable benefit and the potential for long-term survival with immunotherapy in advanced melanoma. , 2014, Cancer treatment reviews.

[5]  Francisco Louzada,et al.  A New Long-Term Survival Distribution for Cancer Data , 2012, Journal of Data Science.

[6]  T. Treasure,et al.  Adjuvant MAGE-A3 immunotherapy in resected non-small-cell lung cancer: phase II randomized study results. , 2013, Journal of clinical oncology : official journal of the American Society of Clinical Oncology.

[7]  Tai-Tsang Chen Statistical issues and challenges in immuno-oncology , 2013, Journal of Immunotherapy for Cancer.

[8]  J M Lachin,et al.  Sequential monitoring of survival data with the Wilcoxon statistic. , 1995, Biometrics.

[9]  D. Zucker,et al.  Sequential monitoring of clinical trials: the role of information and Brownian motion. , 1993, Statistics in medicine.

[10]  Gil D. Fine,et al.  Consequences of Delayed Treatment Effects on Analysis of Time-to-Event Endpoints , 2007 .

[11]  Anastasios A. Tsiatis,et al.  Repeated Significance Testing for a General Class of Statistics Used in Censored Survival Analysis , 1982 .

[12]  D. Gillen,et al.  Flexibly Monitoring Group Sequential Survival Trials When Testing is Based Upon a Weighted Log-Rank Statistic , 2014, Sequential analysis.

[13]  H. Borghaei,et al.  Nivolumab in Nonsquamous Non-Small-Cell Lung Cancer. , 2016, The New England journal of medicine.

[14]  D. Schadendorf,et al.  Nivolumab in previously untreated melanoma without BRAF mutation. , 2015, The New England journal of medicine.

[15]  P. Kantoff,et al.  Sipuleucel-T immunotherapy for castration-resistant prostate cancer. , 2010, The New England journal of medicine.

[16]  K. K. Lan,et al.  Discrete sequential boundaries for clinical trials , 1983 .

[17]  Takahiro Hasegawa,et al.  Sample size determination for the weighted log‐rank test with the Fleming–Harrington class of weights in cancer vaccine studies , 2014, Pharmaceutical statistics.