Optimality, constructions and application of extension split-plot designs

2009 Fiscal Year Final Research Report

• Project/Area Number: 20700253
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Statistical science
• Research Institution: Gifu College of Nursing
• Principal Investigator: OZAWA Kazuhiro Gifu College of Nursing, 看護学部, 講師 (20336639)
• Project Period (FY): 2008 – 2009
• Keywords: Design of experiments / Combinatorial theory / split-plot design / Universal optimality / Balanced incomplete block design / Generalized least squares estimators / Multi-stratum

Research Abstract

The extension split-plot design with multi factors is studied. The statistical and combinatorial properties for universally optimum with respect to the estimation of the elementary contrasts of all main effects and any interaction effects by using GLSE are given. Moreover, some constructions of universally optimal split-plot designs are obtained.

Research Products

• [Journal Article] A-optimal diallel c ross experiments for estimating g. c. a. effects (2009)
  • Author(s): Kazuhiro Ozawa, Naoki Tsushima, Masakazu Jimbo
  • Journal Title: Journal of Statistics and Applications Vol.4(2,3) Pages: 421-431
  • Peer Reviewed
• [Journal Article] The e xpression of metallothioneins is dim inished in the spinal cords of patien ts with sporadic ALS (2008)
  • Author(s): Isao Hozumi,, Mitsunori Yamada, Yo ko Uchida, Kazuhiro Ozawa, Hitoshi Takahashi, Takashi Inuzuka
  • Journal Title: Amyotrophic Lateral Sclerosis Vol.9(5) Pages: 294-298
  • Peer Reviewed
• [Presentation] Optimality of split-split-plot designs (2010)
  • Author(s): Kazuhiro Ozawa
  • Organizer: The First International Conference on Mathematics and Statistics
  • Place of Presentation: UAE
  • Year and Date: 20100000