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On the Application of Flexible Designs When Searching for the Better of Two Anticancer Treatments

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Statistical Modeling for Biological Systems
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Abstract

In search for better treatment, biomedical researchers have defined an increasing number of new anticancer compounds attacking the tumour disease with drugs targeted to specific molecular structure and acting very differently from standard cytotoxic drugs. This has put high pressure on early clinical drug testing since drugs may need to be tested in parallel when only a limited number of patients—e.g., in rare diseases—or limited funding for a single compound is available. Furthermore, at planning stage, basic information to define an adequate design may be rudimentary. Therefore, flexibility in design and conduct of clinical studies has become one of the methodological challenges in the search for better anticancer treatments. Using the example of a comparative phase II study in patients with rare non-clear cell renal cell carcinoma and high uncertainty about effective treatment options, three flexible design options are explored for two-stage two-armed survival trials. Whereas the two considered classical group sequential approaches integrate early stopping for futility in two-sided hypothesis tests, the presented adaptive group sequential design enlarges these methods by sample size recalculation after the interim analysis if the study has not been stopped for futility. Simulation studies compare the characteristics of the different design approaches.

This work has been done in memoriam of Andrei Yakovlev (1944–2008) whom the second author and the Department of Biostatistics of the German Cancer Research Center is obliged for a more than 15 years collaboration and friendship, remembering with great thanks his always vivid and enthusiastic stimulations and contributions giving guidance to good statistical science and practice.

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References

  1. Bauer, P., Bretz, F., Dragalin, V., König, F., & Wassmer, G. (2016). Twenty-five years of confirmatory adaptive designs: opportunities and pitfalls. Statistics in Medicine, 35, 325–347.

    Article  MathSciNet  Google Scholar 

  2. Bauer, P., & Köhne, K. (1994). Evaluation of experiments with adaptive interim analyses. Biometrics, 50, 1029–1041.

    Article  Google Scholar 

  3. Bauer, P., & Posch, M. (2004). Letter to the editor. Modification of the sample size and the schedule of interim analyses in survival trials based on data inspections, by H. Müller, H.-H. Schäfer, Statistics in Medicine 2001; 20:3741–3751. Statistics in Medicine, 23, 1333–1335.

    Google Scholar 

  4. Brannath, W., Posch, M., & Bauer, P. (2002). Recursive combination tests. Journal of the American Statistical Association, 97, 236–244.

    Article  MathSciNet  Google Scholar 

  5. Chang, M. N., Hwang, I. K., & Shih, W. J. (1998). Group sequential designs using both type I and type II error probability spending functions. Communications in Statistics, Theory and Methods, A27(6), 1323–1339.

    Google Scholar 

  6. Cox, D. R. (1972). Regression models and life tables (with discussion). Journal of the Royal Statistical Society, B34, 187–220.

    MATH  Google Scholar 

  7. Cox, D. R. (1975). Partial likelihood. Biometrika, 62(2), 269–276.

    Google Scholar 

  8. Denne, J. S. (2001). Sample size recalculation using conditional power. Statistics in Medicine, 20, 2645–2660.

    Article  Google Scholar 

  9. Desseaux, K., & Porcher, R. (2007). Flexible two-stage design with sample size reassessment for survival trials. Statistics in Medicine, 26(27), 5002–5013.

    Google Scholar 

  10. FDA. (2010). Adaptive design clinical trials for drugs and biologics – Draft guidance. U.S. Department of Health and Human Services, Food and Drug Administration. http://www.fda.gov/Drugs/GuidanceComplianceRegulatoryInformation/Guidances/ucm121568.htm

  11. FDA. (2016). Adaptive designs for medical device clinical studies – Guidance for industry and food and drug administration staff. U.S. Department of Health and Human Services, Food and Drug Administration. https://www.fda.gov/downloads/medicaldevices/deviceregulationandguidance/guidancedocuments/ucm446729.pdf

  12. Gu, M., & Ying, Z. (1995). Group sequential methods for survival data using partial likelihood score processes with covariate adjustment. Statistica Sinica, 5, 793–804.

    MathSciNet  MATH  Google Scholar 

  13. Hwang, I. K., Shih, W. J., & De Cani, J. S. (1990). Group sequential designs using a family of type I error probability spending functions. Statistics in Medicine, 9, 1439–1445.

    Article  Google Scholar 

  14. Irle, S., & Schäfer, H. (2012). Interim design modifications in time-to-event studies. Journal of the American Statistical Association, 107, 341–348.

    Article  MathSciNet  Google Scholar 

  15. Jahn-Eimermacher, A., & Ingel, K. (2009). Adaptive trial design: A general methodology for censored time to event data. Contemporary Clinical Trials, 30, 171–177.

    Article  Google Scholar 

  16. Jenkins, M., Stone, A., & Jennison, C. (2011). An adaptive seamless phase II/III design for oncology trials with subpopulation selection using correlated survival endpoints. Pharmaceutical Statistics, 10(4), 347–356.

    Google Scholar 

  17. Jennison, C., & Turnbull, B. W. (2000). Group sequential methods with applications to clinical trials. London: Chapman and Hall/CRC.

    MATH  Google Scholar 

  18. Lachin, J. M., & Foulkes, M. A. (1986). Evaluation of sample size and power for analyses of survival with allowance for nonuniform patient entry, losses to follow-up, noncompliance and stratification. Biometrics, 42, 507–519.

    Article  Google Scholar 

  19. Lan, K. K. G., & DeMets, D. L. (1983). Discrete sequential boundaries for clinical trials. Biometrika, 70(3), 659–663.

    Google Scholar 

  20. Lan, K. K. G., & DeMets, D. L. (1989). Group sequential procedures: Calendar versus information time. Statistics in Medicine, 8, 1191–1198.

    Article  Google Scholar 

  21. Lehmacher, W., & Wassmer, G. (1999). Adaptive sample size calculations in group sequential trials. Biometrics, 55, 1286–1290.

    Article  Google Scholar 

  22. Magirr, D., Jaki, T., Koenig, F., & Posch, M. (2014). Adaptive survival trials. https://arxiv.org/abs/1405.1569

    Google Scholar 

  23. Mehta, C. R., & Pocock, S. J. (2011). Adaptive increase in sample size when interim results are promising: A practical guide with examples. Statistics in Medicine, 30(28), 3267–3284.

    Google Scholar 

  24. Müller, H. H., & Schäfer, H. (2004). A general statistical principle for changing a design any time during the course of a trial. Statistics in Medicine, 23, 2497–2508.

    Article  Google Scholar 

  25. Project team, R. The R Project for Statistical Computing. https://www.r-project.org

  26. Rubinstein, L. V., Gail, M. H., & Santner, T. J. (1981). Planning the duration of a comparative clinical trial with loss to follow-up and a period of continued observation. Journal of Chronic Diseases, 34, 469–479.

    Article  Google Scholar 

  27. Rudser, K. D., & Emerson, S. S. (2008). Implementing type I and type II error spending for two-sided group sequential designs. Contemporary Clinical Trials, 29, 351–358.

    Article  Google Scholar 

  28. Schäfer, H., & Müller, H. H. (2001). Modification of the sample size and the schedule of interim analyses in survival trials based on data inspections. Statistics in Medicine, 20, 3741–3751.

    Article  Google Scholar 

  29. Schmidinger, M., & Zielinski, C. C. (2009). Novel agents for renal cell carcinoma require novel selection paradigms to optimise first-line therapy. Cancer Treatment Reviews, 35, 289–296.

    Article  Google Scholar 

  30. Schmidt, R., Faldum, A., & Kwiecien, R. (2018). Adaptive designs of the one-sample logrank test. Biometrics, 74, 529–537. https://doi.org/10.1111/biom.12776

    Article  MathSciNet  Google Scholar 

  31. Schrader, A. J., Olbert, P. J., Hegele, A., Varga, Z., & Hofmann, R. (2008). Metastatic non-clear cell renal cell carcinoma: current therapeutic options. BJU International, 101, 1343–1345.

    Article  Google Scholar 

  32. Tsiatis, A. (1981). A large sample study of Cox’s regression model. The Annals of Statistics, 9(1), 93–108.

    Google Scholar 

  33. Tsiatis, A., Rosner, G. L., & Tritchler, D. L. (1985). Group sequential tests with censored survival data adjusting for covariates. Biometrika, 72(2), 365–373.

    Google Scholar 

  34. Tymofyeyev, Y. (2014). A review of available software and capabilities for adaptive designs. In W. He, J. Pinheiro, & O. M. Kuznetsova (Eds.), Practical considerations for adaptive trial design and implementation (pp. 139–155). New York: Springer.

    Chapter  Google Scholar 

  35. Wassmer, G. (2006). Planning and analyzing adaptive group sequential survival trials. Biometrical Journal, 48, 714–729.

    Article  MathSciNet  Google Scholar 

  36. Wunder, C., Kopp-Schneider, A., & Edler, L. (2012). An adaptive group sequential phase II design to compare treatments for survival endpoints in rare patient entities. Journal of Biopharmaceutical Statistics, 22(2), 294–311.

    Google Scholar 

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Correspondence to Lutz Edler .

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Kunz, C., Edler, L. (2020). On the Application of Flexible Designs When Searching for the Better of Two Anticancer Treatments. In: Almudevar, A., Oakes, D., Hall, J. (eds) Statistical Modeling for Biological Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-34675-1_12

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