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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
European Commission: Useful information on rare diseases from an EU perspective. Accessed 19 May 2009
Piantadosi, S.: Cross-over designs. In: Clinical Trials, A Methodologic Perspective. Wiley, Toronto (1997)
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)
Temple, R.J.: Special study designs: early escape, enrichment, studies in non-responders. Commun. Stat. Theory Methods 23(2), 499–530 (1994)
Temple, R.J.: Problems in interpreting active control equivalence trials. Account. Res. 4(3–4), 267–275 (1996)
Rosenberger, W.: Randomized play-the-winner clinical trials: review and recommendations. Control. Clin. Trials 20, 328–342 (1999)
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
Rao, C.R.: Linear Statistical Inference and its Applications. Wiley, New York (1965)
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)
Cook, J.D., Nadarajah, S.: Stochastic inequality probabilities for adaptively randomized clinical trials. Biom. J. 48, 356–365 (2006)
Wathen, J.K., Cook, J.D.: Power and bias in adaptively randomized clinical trials. Technical Report UTMDABTR-002-06. Accessed 7 Mar 2006
Lydersen, S., Fagerland, M.W., Laake, P.: Recommended tests for association in \(2 \times 2\) tables. Stat. Med. 28, 1159–1175 (2009)
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)
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)
Bauer, P., Kohne, K.: Evaluation of experiments with adaptive interim analyses. Biometrics 50, 1029–1041 (1994)
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)
Abelson, R.P.: Statistics as Principled Argument. Psychology Press, New York (1995)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-67386-8_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67385-1
Online ISBN: 978-3-319-67386-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)