A Link Between the E-Value and the Robustness of Block Designs

• 成果类型: Article
• 署名作者: Godolphin, J. D.
• 署名单位: University of Surrey
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1080/01621459.2015.1114949
• 发表日期: 2016
• 页码: 1736-1745
• 关键词: missing data; unavailability; size; optimality

摘要

This article investigates the robustness of binary incomplete block designs against giving rise to a disconnected design in the event of observation loss. A link is established between the E-value of a planned design and the extent of observation loss that can be experienced while still guaranteeing an eventual design from which all treatment contrasts can be estimated. Patterns of missing observations covered include loss of entire blocks and loss of individual observations. Simple bounds are provided enabling practitioners to easily assess the robustness of a planned design.