Implementation of the sequential optimal design strategy in Type-II progressive censoring with the GLM-based mechanism

Pub Date : 2024-04-10 DOI:10.1007/s42952-024-00266-3
Fatemeh Hassantabar Darzi, Firoozeh Haghighi, Samaneh Eftekhari Mahabadi
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Abstract

Single-objective optimal designs might be criticized for not covering all aspects of the experiment when the experiment possesses multiple goals. In such a case, multi-objective optimal design is of interest. This paper adopts a sequential approach to obtain a multi-objective optimal design for Type-II progressive censoring with a dependent GLM-based random removal mechanism. Several simulation studies are conducted to evaluate and compare the performance of the proposed approach. A sensitivity analysis has been performed to investigate the effect of misspecification of design input parameters. Also, the sequential optimal design solution is used to construct the bounds in the \(\epsilon\)-constraint optimal design. Finally, the usefulness of the proposed strategy is demonstrated through two real-life data analyses.

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利用基于 GLM 的机制,在第二类渐进剔除中实施顺序优化设计策略
当实验具有多个目标时,单目标优化设计可能会因无法涵盖实验的所有方面而受到批评。在这种情况下,多目标优化设计就显得尤为重要。本文采用一种序列方法,通过基于依赖 GLM 的随机剔除机制,获得 II 型渐进剔除的多目标最优设计。本文进行了多项模拟研究,以评估和比较所提方法的性能。还进行了敏感性分析,以研究设计输入参数指定错误的影响。同时,利用顺序优化设计方案来构建 \(\epsilon\)- 约束优化设计中的边界。最后,通过两个实际数据分析证明了所提策略的实用性。
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