{"title":"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","authors":"Fatemeh Hassantabar Darzi, Firoozeh Haghighi, Samaneh Eftekhari Mahabadi","doi":"10.1007/s42952-024-00266-3","DOIUrl":null,"url":null,"abstract":"<p>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 <span>\\(\\epsilon\\)</span>-constraint optimal design. Finally, the usefulness of the proposed strategy is demonstrated through two real-life data analyses.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Implementation of the sequential optimal design strategy in Type-II progressive censoring with the GLM-based mechanism\",\"authors\":\"Fatemeh Hassantabar Darzi, Firoozeh Haghighi, Samaneh Eftekhari Mahabadi\",\"doi\":\"10.1007/s42952-024-00266-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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 <span>\\\\(\\\\epsilon\\\\)</span>-constraint optimal design. Finally, the usefulness of the proposed strategy is demonstrated through two real-life data analyses.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-04-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s42952-024-00266-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s42952-024-00266-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
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。
Implementation of the sequential optimal design strategy in Type-II progressive censoring with the GLM-based mechanism
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.