A note on the probability structure of a doubly randomized delayed start design

The innovative doubly randomized delayed start (DRDS) design has been implemented to tackle the well-known challenge of a high placebo response rate in clinical trials. This design begins with a conventional parallel design phase (period 1), followed by a subsequent phase (period 2) where subjects i...

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Main Author: Zhao Yang
Format: Article
Language:English
Published: Taylor & Francis Group 2025-01-01
Series:Statistical Theory and Related Fields
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Online Access:https://www.tandfonline.com/doi/10.1080/24754269.2025.2457279
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author Zhao Yang
author_facet Zhao Yang
author_sort Zhao Yang
collection DOAJ
description The innovative doubly randomized delayed start (DRDS) design has been implemented to tackle the well-known challenge of a high placebo response rate in clinical trials. This design begins with a conventional parallel design phase (period 1), followed by a subsequent phase (period 2) where subjects initially assigned to placebo and who did not respond are re-randomized to either the test drug or placebo. Chi, G. Y., Li, Y., Liu, Y., Lewin, D., & Lim, P. (2016 On clinical trials with a high placebo response rate. Contemporary Clinical Trials Communications, 2, 34–53. https://doi.org/10.1016/j.conctc.2015.10.002) introduced a new statistical methodology with a conditional probability structure to account for the specific characteristics of the DRDS design. However, some critical formulas in Chi et al. (2016, p. 38) for this probability structure are incorrect. Here, we correct these formulas and provide a comprehensive technical background on deriving the probability structure for a DRDS design to support these corrections.
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spelling doaj-art-895b96b6f4144e03aefbcebb68826be12025-01-31T18:29:50ZengTaylor & Francis GroupStatistical Theory and Related Fields2475-42692475-42772025-01-011610.1080/24754269.2025.2457279A note on the probability structure of a doubly randomized delayed start designZhao Yang0Keros Therapeutics Inc., Lexington, MA, USAThe innovative doubly randomized delayed start (DRDS) design has been implemented to tackle the well-known challenge of a high placebo response rate in clinical trials. This design begins with a conventional parallel design phase (period 1), followed by a subsequent phase (period 2) where subjects initially assigned to placebo and who did not respond are re-randomized to either the test drug or placebo. Chi, G. Y., Li, Y., Liu, Y., Lewin, D., & Lim, P. (2016 On clinical trials with a high placebo response rate. Contemporary Clinical Trials Communications, 2, 34–53. https://doi.org/10.1016/j.conctc.2015.10.002) introduced a new statistical methodology with a conditional probability structure to account for the specific characteristics of the DRDS design. However, some critical formulas in Chi et al. (2016, p. 38) for this probability structure are incorrect. Here, we correct these formulas and provide a comprehensive technical background on deriving the probability structure for a DRDS design to support these corrections.https://www.tandfonline.com/doi/10.1080/24754269.2025.2457279Doubly randomized delayed startsequential parallel comparison designplacebo effecttruncation
spellingShingle Zhao Yang
A note on the probability structure of a doubly randomized delayed start design
Statistical Theory and Related Fields
Doubly randomized delayed start
sequential parallel comparison design
placebo effect
truncation
title A note on the probability structure of a doubly randomized delayed start design
title_full A note on the probability structure of a doubly randomized delayed start design
title_fullStr A note on the probability structure of a doubly randomized delayed start design
title_full_unstemmed A note on the probability structure of a doubly randomized delayed start design
title_short A note on the probability structure of a doubly randomized delayed start design
title_sort note on the probability structure of a doubly randomized delayed start design
topic Doubly randomized delayed start
sequential parallel comparison design
placebo effect
truncation
url https://www.tandfonline.com/doi/10.1080/24754269.2025.2457279
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