Investigation into The Robustness of Balanced Incomplete Block Designs

被引：0

作者：

Godolphin, Janet ^{[1
]}

Warren, Helen R. ^{[2
]}

机构：

[1] Univ Surrey, Dept Math, Guildford, Surrey, England

[2] Queen Mary Univ London, Barts & London Sch Med & Dent, William Harvey Res Inst, Clin Pharmacol Dept, London, England

来源：

STATISTICS AND APPLICATIONS | 2021年 / 19卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Connected; Efficiency; Observation loss; Optimality; BIB DESIGNS; UNAVAILABILITY; OPTIMALITY;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A set of measures is developed which indicate the robustness of a Balanced Incomplete Block Design (BIBD) against yielding a disconnected eventual design in the event of observation loss. The measures have uses as a pilot procedure and as a tool to aid in design selection in situations in which significant observation loss is thought possible. The measures enable non-isomorphic BIBDs with the same parameters to be ranked. Investigation of a class of BIBDs suggests there is some correspondence between robustness against becoming disconnected and rankings associated with A-efficiency.

引用

页码：467 / 481

页数：15

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