Abstract
A multi-arm response-adaptive allocation design is developed for circular treatment outcomes. Several exact and asymptotic properties of the design are studied. Stage-wise treatment selection procedures based on the proposed response-adaptive design are also suggested to exclude the worse performing treatment(s) at earlier stages. Detailed simulation study is carried out to evaluate the proposed selection procedures. The applicability of the proposed methodologies is illustrated through a real clinical trial data on cataract surgery.
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Atkinson, A. C., & Biswas, A. (2014). Randomised response-adaptive designs in clinical trials. Boca Raton: CRC Press.
Bakshi, P. (2010). Evaluation of various surgical techniques in brunescent cataracts. Unpublished thesis, Disha Eye Hospital, India.
Baldi Antognini, A., & Giovagnoli, A. (2015). Adaptive designs for sequential treatment allocation. New York: Chapman and Hall/CRC.
Bandyopadhyay, U., & Biswas, A. (1999). Sequential-type procedures to select the best treatments. Statistics & Decisions, 139–164, Supplement Issue (4) In Honor of Robert E Bechhofer.
Bandyopadhyay, U., & Biswas, A. (2002). Selection procedures in multi-treatment clinical trials (pp. 143–157). LX: Metron.
Basti, S., Vasavada, A. R., Thomas, R., & Padhmanabhan, P. (1993). Extracapsular cataract extraction: Surgical techniques. Indian Journal Ophthalmologica, 41, 195–210.
Bazaraa, M., Sherali, H., & Shetty, CM (2006). Nonlinear programming: Theory and algorithms (3 ed.). London: John Wiley & Sons Ltd Chichester.
Biswas, A., Bhattacharya, R., & Mukherjee, T. (2017). An adaptive allocation design for circular treatment outcome. Journal of statistical theory and practic, http://dx.doi.org/10.1080/15598608.2017.1307147.
Biswas, A., & Coad, D. S. (2005). A general multi-treatment adaptive design for multivariate responses. Sequential Analysis, 24, 139–158.
Biswas, A., Dutta, S., Laha, A. K., & Bakshi, P. K. (2015). Response-adaptive allocation for circular data. Journal of Biopharmaceutical Statistics, 25, 830–842.
Biswas, A., Mandal, S., & Bhattacharya, R. (2011). Multi-treatment optimal responseadaptive designs for phase III clinical trials. Journal of the Korean Statistical Society, 40, 33–44.
Bretz, F., Koenig, F., Brannath, W., Glimm, E., & Posch, M. (2009). Adaptive designs for confirmatory clinical trials. Statistics in Medicine, 28, 1181–1217.
Fisher, N. I. (1993). Statistical analysis of circular data. Cambridge: Cambridge University Press.
Hall, P., & Heyde, C. C. (1980). Martingale limit theory and its application. Academic Press.
Jain, N. B., Wilcox III, R. B., Katz, J. N., & Higgins, L. D. (2013). Clinical examination of the rotator cuff. PM & R, 5, 45–56.
Jammalamadaka, S. R., & SenGupta, A. (2001). Topics in circular statistics. Singapore: World Scientific.
Mackool, R. J., & Brint, S. F. (2004). AquaLase: a new technology for cataract extraction. Current Opinion Ophthalmologica, 15, 40–43.
Mardia, K. V., & Jupp, P. E. (2004). Directional statistics. Chichester, London: John Wiley & Sons Ltd..
Masket, S. (2004). The beginning of modern cataract surgery. The evaluation of small incision cataract surgery - A short history of ophthalmologists in progress. In Cataract and refractory surgeries today (pp. 77–80).
Maurer, W., Branson, M., & Posch, M. (2009). In A. Dmitrienko, A. Tamhane, & F. Bretz (Eds.), Multiple Testing Problems in Pharmaceutical Statistics, Adaptive designs and confirmatory hypothesis testing (pp. 35–98). CRC Press.
Silvey, S. (1980). Optimal designs: An introduction to the theory for parameter estimation. Springer Texts.
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Biswas, A., Bhattacharya, R. & Mukherjee, T. Multi-arm response-adaptive designs for circular responses. J. Korean Stat. Soc. 48, 524–536 (2019). https://doi.org/10.1016/j.jkss.2019.03.005
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DOI: https://doi.org/10.1016/j.jkss.2019.03.005