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Research Article

A two armed optimal response adaptive randomization for ordinal categorical responses with possible misclassification

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Received 07 Jun 2023, Accepted 11 Dec 2023, Published online: 06 Feb 2024

REFERENCES

  • Agresti, A. 2002. Categorical Data Analysis. 2nd ed. New York: Wiley.
  • Atkinson, A. C., and A. Biswas. 2014. Randomized Response-Adaptive Designs in Clinical Trials. Boca Raton, FL: CRC Press, Taylor and Francis Group.
  • Biswas, A., R. Bhattacharya, and S. Das. 2018. “A Response Adaptive Design for Ordinal Categorical Responses.” Journal of Biopharmaceutical Statistics 28 (6): 1169–1181. https://doi.org/10.1080/10543406.2018.1439053
  • Eberhart, L. H. J., A. M. Morin, S. Hoerle, H. Wulf, and G. Geldner. 2004. “Droperidol and Dolasetron Alone or in Combination for Prevention of Postoperative Nausea and Vomiting after Vitrectomy.” Ophthalmology 111 (8): 1569–1575. https://doi.org/10.1016/j.ophtha.2004.01.031
  • Eisele, J. 1994. “The Doubly Adaptive Biased Coin Design for Sequential Clinical Trials.” Journal of Statistical Planning and Inference 38 (2): 249–261. https://doi.org/10.1016/0378-3758(94)90038-8
  • Eisele, J., and M. Woodroofe. 1995. “Central Limit Theorems for Doubly Adaptive Biased Coin Designs.” Annals of Statistics 23: 234–254.
  • Hu, F., and W. F. Rosenberger. 2006. The Theory of Response-Adaptive Randomization in Clinical Trials. Hoboken, NJ: Wiley.
  • Hu, F., W. F. Rosenberger, and L. X. Zhang. 2006. “Asymptotically Best Response-Adaptive Randomization Procedures.” Journal of Statistical Planning and Inference 136 (6): 1911–1922. https://doi.org/10.1016/j.jspi.2005.08.011
  • Hu, F., and L. X. Zhang. 2004. “Asymptotic Properties of Doubly Adaptive Biased Coin Design for Multi-Treatment Clinical Trials.” Annals of Statistics 32: 268–301.
  • Ivanova, A. 2000. “A Play-the-Winner Type Urn Model with Reduced Variability.” Metrika 58 (1): 1–13. https://doi.org/10.1007/s001840200220
  • Ivanova, A., W. F. Rosenberger, S. D. Durham, and N. Flournoy. 2000. “A Birth and Death Urn for Randomized Clinical Trials: Asymptotic Methods.” Sankhya B 62: 104–118.
  • Lehmann, E. L. 1955. “Ordered Families of Distributions.” The Annals of Mathematical Statistics 26 (3): 399–419. https://doi.org/10.1214/aoms/1177728487
  • Li, X., and X. Wang. 2013. “Response Adaptive Designs with Misclassified Responses.” Communications in Statistics—Theory and Methods 42 (11): 2071–2083. https://doi.org/10.1080/03610926.2011.602488
  • Rosenberger, W. F., and J. M. Lachin. 2015. Randomization in Clinical Trials: Theory and Practice. New York: Wiley.
  • Silvey, S. D. 1978. “Optimal Design Measures with Singular Information Matrices.” Biometrika 65 (3): 553–559. https://doi.org/10.1093/biomet/65.3.553
  • Tamura, R. N., D. E. Faries, J. S. Andersen, and J. H. Heiligenstein. 1994. “A Case Study of an Adaptive Clinical Trials in the Treatment of out-Patients with Depressive Disorder.” Journal of the American Statistical Association 89 (427): 768–776. https://doi.org/10.1080/01621459.1994.10476810
  • Tutz, G. 2012. Regression for Categorical Data. New York, NY: Cambridge University Press.
  • Zhang, L. X., W. S. Chan, S. H. Cheung, and F. Hu. 2007. “A Generalized Drop-the-Loser Urn with Delayed Responses.” Statistica Sinica 17: 387–409.

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