Published

2019-07-01

A Randomized Two Stage Adaptively Censored Design With Application to Testing

Un diseño aleatorio censurado adaptativo en dos etapas con aplicación

DOI:

https://doi.org/10.15446/rce.v42n2.65344

Keywords:

Two stage design, Censoring, Inference (en)
Diseño de dos etapas, Censura, Inferencia (es)

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Authors

  • Uttam Bandyopadhyay Calcutta University
  • Rahul Bhattacharya Calcutta University

A two stage randomized design is developed for two treatment clinical trials in which response variables are exponential and the observations are censored by using failure censoring and time censoring in the first and second stages respectively. The censoring time for the second stage is determined from the outcomes of the first stage. An application to testing for the equality of treatment effects is given along with a comparative study with relevant properties.

Se desarrolla un diseño aleatorizado en dos etapas para dos ensayos clínicos de tratamiento en los que las variables de respuesta son exponenciales y las observaciones se censuran utilizando la censura por fallo y la censura temporal en la primera y segunda etapas, respectivamente. El tiempo de censura para la segunda etapa se determina a partir de los resultados de la primera etapa. Una aplicación para probar la igualdad de efectos del tratamiento se da junto con un estudio comparativo con propiedades relevantes.

References

Bandyopadhyay, U. & Bhattacharya, R. (2001), ‘Estimation in a two stage procedure for failure censored model’, Calcutta Statistical Association Bulletin 51, 179–190.

Bandyopadhyay, U., Biswas, A. & Bhattacharya, R. (2009), ‘A bayesian adap tive design for two-stage clinical trials with survival data’, Life Time Data Analysis 15, 468–492.

Bhattacharya, B. (2007), ‘Testing for ordered failure rates under general progressive censoring’, Journal of Statistical Planning and Inference 137, 1775–1786.

Biswas, A., Bhattacharya, R. & Park, E. (2016), ‘On a class of optimal covariate adjusted response adaptive designs for survival outcomes’, Statistical Methods in Medical Research 25, 2444–2456.

Coad, D. S. (1992), ‘Some results on estimation for two stage clinical trials’, Sequential Analysis 11, 299–311.

Kalbfleisch, J. & Prentice, R. L. (1980), The Statistical Analysis of Failure Time Data, John Wiley & Sons Inc, New York.

Rosenberger, W. F. & Lachin, J. (2015), Randomization in Clinical Trials: Theory and Practice, Second Edition, John Wiley & Sons Inc, New York.

Sverdlov, O., Ryeznik, Y. & Wong, W. K. (2014), ‘Efficient and ethical response adaptive randomization designs for multi-arm clinical trials with Weibull time-to-event outcomes’, Journal of Biopharmaceutical Statistics 24, 732–754.

Sverdlov, O., Tymofyeyev, Y. & Wong, W. K. (2011), ‘Optimal response adaptive randomized designs for multi-armed survival trials’, Statistics in Medicine 30, 2890–2910.

Xiong, C., Yan, Y. & Ming, J. (2003), ‘Sample sizes for comparing means of two lifetime intervention study’, Controlled Clinical Trials 24, 283-293.

Zhang, L. & Rosenberger, W. F. (2007), ‘Response adaptive randomization for survival trials: The parametric approach’, Applied Statistics 56, 153–165.

How to Cite

APA

Bandyopadhyay, U. and Bhattacharya, R. (2019). A Randomized Two Stage Adaptively Censored Design With Application to Testing. Revista Colombiana de Estadística, 42(2), 209–224. https://doi.org/10.15446/rce.v42n2.65344

ACM

[1]
Bandyopadhyay, U. and Bhattacharya, R. 2019. A Randomized Two Stage Adaptively Censored Design With Application to Testing. Revista Colombiana de Estadística. 42, 2 (Jul. 2019), 209–224. DOI:https://doi.org/10.15446/rce.v42n2.65344.

ACS

(1)
Bandyopadhyay, U.; Bhattacharya, R. A Randomized Two Stage Adaptively Censored Design With Application to Testing. Rev. colomb. estad. 2019, 42, 209-224.

ABNT

BANDYOPADHYAY, U.; BHATTACHARYA, R. A Randomized Two Stage Adaptively Censored Design With Application to Testing. Revista Colombiana de Estadística, [S. l.], v. 42, n. 2, p. 209–224, 2019. DOI: 10.15446/rce.v42n2.65344. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/65344. Acesso em: 28 mar. 2025.

Chicago

Bandyopadhyay, Uttam, and Rahul Bhattacharya. 2019. “A Randomized Two Stage Adaptively Censored Design With Application to Testing”. Revista Colombiana De Estadística 42 (2):209-24. https://doi.org/10.15446/rce.v42n2.65344.

Harvard

Bandyopadhyay, U. and Bhattacharya, R. (2019) “A Randomized Two Stage Adaptively Censored Design With Application to Testing”, Revista Colombiana de Estadística, 42(2), pp. 209–224. doi: 10.15446/rce.v42n2.65344.

IEEE

[1]
U. Bandyopadhyay and R. Bhattacharya, “A Randomized Two Stage Adaptively Censored Design With Application to Testing”, Rev. colomb. estad., vol. 42, no. 2, pp. 209–224, Jul. 2019.

MLA

Bandyopadhyay, U., and R. Bhattacharya. “A Randomized Two Stage Adaptively Censored Design With Application to Testing”. Revista Colombiana de Estadística, vol. 42, no. 2, July 2019, pp. 209-24, doi:10.15446/rce.v42n2.65344.

Turabian

Bandyopadhyay, Uttam, and Rahul Bhattacharya. “A Randomized Two Stage Adaptively Censored Design With Application to Testing”. Revista Colombiana de Estadística 42, no. 2 (July 1, 2019): 209–224. Accessed March 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/65344.

Vancouver

1.
Bandyopadhyay U, Bhattacharya R. A Randomized Two Stage Adaptively Censored Design With Application to Testing. Rev. colomb. estad. [Internet]. 2019 Jul. 1 [cited 2025 Mar. 28];42(2):209-24. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/65344

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CrossRef Cited-by

CrossRef citations1

1. Soumyadeep Das, Rahul Bhattacharya, Madhumita Shome. (2024). A multi-treatment two stage allocation design for survival outcomes with nonrandom censoring: a copula-based approach. Sequential Analysis, 43(4), p.461. https://doi.org/10.1080/07474946.2024.2418578.

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