Research on the construction methods for two-factor experiments of nested split types with controls

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540139
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Osaka Prefecture University
• Principal Investigator: KURIKI SHINJI 大阪府立大学, 工学(系)研究科(研究院), 教授 (00167389)
• Co-Investigator(Kenkyū-buntansha): FUJI-HARA Ryosyuku 筑波大学, システム情報工学研究科, 教授 (30165443) ; JIMBO Masakazu 名古屋大学, 情報科学研究科, 教授 (50103049)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 統計数学 / 実験計画法 / 構成法 / ネステッド構造 / コントロール / 分割型実験 / ２因子実験

Outline of Final Research Achievements

In order to perform a two-factor experiment with controls, there are some fields (called blocks), each block is divided into p rows and q columns (the small fields are called whole-plots), and the treatments of a factor are arranged on the whole-plots. Furthermore, each whole-plot is divided into some subplots, and the treatments of another factor are arranged on the subplots. In this research, the construction methods for such two-factor experiments of nested split types with controls were given.

Free Research Field

統計数学