Bayesian-inspired minimum contamination designs under a double-pair conditional effect model

作     者：Ming-Chung Chang 

作者机构：Institute of Statistical ScienceAcademia SinicaTaipeiTaiwanChina 

出 版 物：《Statistical Theory and Related Fields》 (统计理论及其应用（英文）)

年 卷 期：2023年第7卷第4期

页      面：336-349页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：We gratefully acknowledge funding from Academia Sinica[Grant Number AS-CDA-111-M05] from National Science and Technology Council[Grant Number 111-2118-M-001-001-MY3] 

主　　题：Minimum aberration two-level factorials effect hierarchy functional prior 

摘      要：In two-level fractional factorial designs,conditional main effects can provide insights by which to analyze factorial effects and facilitate the de-aliasing of fully aliased two-factor ***-ditional main effects are of particular interest in situations where some factors are nested within *** of the relevant literature has focused on the development of data analysis tools that use conditional main effects,while the issue of optimal factorial design for a given linear model involving conditional main effects has been largely ***,Wu and Chang[*** 27(2017)997-1016]established a framework by which to optimize designs under a con-ditional effect *** theoretically sound,their results were limited to a single pair of conditional and conditioning *** this paper,we extend the applicability of their frame-work to double pairs of conditional and conditioning factors by providing the corresponding parameterization and effect *** propose a minimum contamination-based criterion by which to evaluate designs and develop a complementary set theory to facilitate the search of minimum contamination *** catalogues of 16-and 32-run minimum contamination designs are *** five to twelve factors,we show that all 16-run minimum contamination designs under the conditional effect model are also minimum aberration according to Fries and Hunter[Technometrics 22(1980)601-608].