Conditions for connectivity of incomplete block designs. (17th July 2019)

• Record Type: Journal Article
• Authors: Godolphin, Janet
• Other Names: Stillman Eleanor guestEditor.; Triantafyllopoulos Kostas guestEditor.
• Is Part Of: Quality and reliability engineering international. Volume 35:Number 5(2019)
• Page Start: 1279
• Page End: 1287
• Publication Date: 2019-07-17
• Subjects: block breakdown number -- observation loss -- robustness; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.2517
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: In experimental situations where observation loss is common, it is important for a design to be robust against breakdown. For incomplete block designs, with one treatment factor and a single blocking factor, conditions for connectivity and robustness are developed using the concepts of treatment and block partitions, and of linking blocks. Lower bounds are given for the block breakdown number in terms of parameters of the design and its support. The results provide guidance for construction of designs with good robustness properties.