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Adaptive Three-Stage Clinical Trial Design for a Binary Endpoint in the Rare Disease Setting

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Pharmaceutical Statistics (MBSW 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 218))

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Abstract

A fundamental challenge in developing therapeutic agents for rare diseases is the limited number of eligible patients. A conventional randomized clinical trial may not be adequately powered if the sample size is small and asymptotic assumptions needed to apply common test statistics are violated. This paper proposes an adaptive three-stage clinical trial design for a binary endpoint in the rare disease setting. It presents an exact unconditional test statistic to generally control Type I error when sample size is small while not sacrificing power. Adaptive randomization has the potential to increase power by allocating greater numbers of patients to a more effective treatment. Performance of the method is illustrated using simulation studies.

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References

  1. European Commission: Useful information on rare diseases from an EU perspective. Accessed 19 May 2009

    Google Scholar 

  2. Piantadosi, S.: Cross-over designs. In: Clinical Trials, A Methodologic Perspective. Wiley, Toronto (1997)

    Google Scholar 

  3. Guyatt, G.H., Heyting, A., Jaeschke, R., Keller, J., Adachi, J.D., Roberts, R.S.: N of 1 randomized trials for investigating new drugs. Control. Clin. Trials 11(2), 88–100 (1990)

    Article  Google Scholar 

  4. Temple, R.J.: Special study designs: early escape, enrichment, studies in non-responders. Commun. Stat. Theory Methods 23(2), 499–530 (1994)

    Article  Google Scholar 

  5. Temple, R.J.: Problems in interpreting active control equivalence trials. Account. Res. 4(3–4), 267–275 (1996)

    Article  Google Scholar 

  6. Rosenberger, W.: Randomized play-the-winner clinical trials: review and recommendations. Control. Clin. Trials 20, 328–342 (1999)

    Article  Google Scholar 

  7. Cook, J.D.: Error in the normal approximation to the t distribution. https://www.johndcook.com/blog/normal_approx_to_t/. Accessed 18 Jan 2017

  8. Rao, C.R.: Linear Statistical Inference and its Applications. Wiley, New York (1965)

    MATH  Google Scholar 

  9. Honkanen, V.E., Siegel, A.F., Szalai, J.P., Berger, V., Feldman, B.M., Siegel, J.N.: A three-stage clinical trial design for rare disorders. Stat. Med. 20, 3009–3021 (2001)

    Article  Google Scholar 

  10. Cook, J.D., Nadarajah, S.: Stochastic inequality probabilities for adaptively randomized clinical trials. Biom. J. 48, 356–365 (2006)

    Article  MathSciNet  Google Scholar 

  11. Wathen, J.K., Cook, J.D.: Power and bias in adaptively randomized clinical trials. Technical Report UTMDABTR-002-06. Accessed 7 Mar 2006

    Google Scholar 

  12. Lydersen, S., Fagerland, M.W., Laake, P.: Recommended tests for association in \(2 \times 2\) tables. Stat. Med. 28, 1159–1175 (2009)

    Article  MathSciNet  Google Scholar 

  13. Berger, R.L., Boos, D.D.: P values maximized over a confidence set for the nuisance parameter. J. Am. Stat. Assoc. 89, 1012–1016 (1994)

    MathSciNet  MATH  Google Scholar 

  14. Mehrotra, D.V., Chan, I.S., Berger, R.L.: A cautionary note on exact unconditional inference for a difference between two independent binomial proportions. Biometrics 59, 441–450 (2003)

    Article  MathSciNet  Google Scholar 

  15. Bauer, P., Kohne, K.: Evaluation of experiments with adaptive interim analyses. Biometrics 50, 1029–1041 (1994)

    Article  Google Scholar 

  16. Stouffer, S.A., Lumsdaine, A.A., Lumsdaine, M.H., Williams, R.M., Smith, M.B., Janis, I.L., Star, S.A., Cottrell, L.S.: The American soldier: combat and its aftermath. Studies in Social Psychology in World War II., vol. 2. Princeton University Press, Princeton (1949)

    Google Scholar 

  17. Abelson, R.P.: Statistics as Principled Argument. Psychology Press, New York (1995)

    Google Scholar 

  18. Berger, R.L., Boos, D.D.: P values maximized over a confidence set for the nuisance parameter. J. Am. Stat. Assoc. 89(427), 1012–1016 (1994)

    MathSciNet  MATH  Google Scholar 

  19. Jeffreys, H.: An invariant form for the prior probability in estimation problems. In: Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, pp. 453–461 (1946)

    Google Scholar 

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Correspondence to Zhaowei Hua .

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Gan, L., Hua, Z. (2019). Adaptive Three-Stage Clinical Trial Design for a Binary Endpoint in the Rare Disease Setting. In: Liu, R., Tsong, Y. (eds) Pharmaceutical Statistics. MBSW 2016. Springer Proceedings in Mathematics & Statistics, vol 218. Springer, Cham. https://doi.org/10.1007/978-3-319-67386-8_13

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