Abstract
During clinical development of new medicinal products, phase II is one of the most important stages. The first phase II trial is typically a Proof of Concept (PoC) study with limited sample size. To reduce the bias, one needs to discount the phase II estimate of the treatment effect. Under some mild conditions, the estimated assurances are increasing functions of the per group number of patients and the scaled observed treatment effect of the phase II trial for the three cases (no, additive, and multiplicative bias adjustment); and for multiplicative bias adjustment, the estimated assurance is an increasing function of the retention factor. The theoretical assurances are increasing functions of the per group number of patients of the phase II trial and the scaled true treatment effect of the phase III trial. The numerical simulations illustrate the above theoretical results. After obtaining the results of the phase II trial, it is still difficult for the project team (and the company) to make the Go/No Go decision. Finally, in addition to the investment and the statistical points of view, the Go/No Go decision is also affected by many other factors.
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Acknowledgements
The authors would like to thank the Editor and the reviewers for their constructive comments, which have led a substantial improvement of the paper.
Funding
The research was supported by the Fundamental Research Funds for the Central Universities (2019CDXYST0016, 2018CDXYST0024), China Scholarship Council (201606055028), National Natural Science Foundation of China (11671060), MOE Project of Humanities and Social Sciences on the West and the Border Area (20XJC910001, 14XJC910001), and Chongqing Key Laboratory of Analytic Mathematics and Applications.
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Zhang, YY., Ting, N. Can the Concept Be Proven?. Stat Biosci 13, 160–177 (2021). https://doi.org/10.1007/s12561-020-09290-3
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DOI: https://doi.org/10.1007/s12561-020-09290-3