Optimality, constructions and application of diallel and triallel cross designs

2015 Fiscal Year Final Research Report

• Project/Area Number: 25730020
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Statistical science
• Research Institution: Gifu College of Nursing
• Principal Investigator: OZAWA Kazuhiro 岐阜県立看護大学, 看護学部, 准教授 (20336639)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 実験計画法 / ダイアレル交配実験計画 / トリアレル交配実験計画 / 最適性 / 構成法

Outline of Final Research Achievements

We considered the optimality of triallel cross experiments and diallel cross experiments with control and test treatments for estimating main effects and interaction effects. We gave the constructions of optimal triallel and diallel cross experiments. Moreover, we characterized split-plot designs and split-block designs with respect to the general balance property, and we gave the stratum efficiency factors for such designs.

Free Research Field

実験計画法・組合せ論