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Optimised point estimators for multi-stage single-arm phase II oncology trials

Grayling, Michael J. and Mander, Adrian P. ORCID: https://orcid.org/0000-0002-0742-9040 2022. Optimised point estimators for multi-stage single-arm phase II oncology trials. Journal of Biopharmaceutical Statistics 32 (6) , pp. 817-831. 10.1080/10543406.2022.2041656

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Abstract

The uniform minimum variance unbiased estimator (UMVUE) is, by definition, a solution to removing bias in estimation following a multi-stage single-arm trial with a primary dichotomous outcome. However, the UMVUE is known to have large residual mean squared error (RMSE). Therefore, we develop an optimisation approach to finding estimators with reduced RMSE for many response rates, which attain low bias. We demonstrate that careful choice of the optimisation parameters can lead to an estimator with often substantially reduced RMSE, without the introduction of appreciable bias.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Centre for Trials Research (CNTRR)
Additional Information: This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Publisher: Taylor and Francis
ISSN: 1054-3406
Date of First Compliant Deposit: 27 April 2022
Date of Acceptance: 30 January 2022
Last Modified: 06 May 2023 20:17
URI: https://orca.cardiff.ac.uk/id/eprint/149392

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