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Combinatorial framework of statistical designs and its interface between different area

Research Project

Project/Area Number 17500182
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionHiroshima University

Principal Investigator

KAGEYAMA Sanpei  Hiroshima University, Graduate School of Education, Professor (70033892)

Co-Investigator(Kenkyū-buntansha) KUWADA Masahide  Hiroshima University, Graduate School of Engineering, Professor (10144891)
JIMBO Masakazu  Nagoya University, Graduate School of Information Science, Professor (50103049)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥2,410,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2005: ¥700,000 (Direct Cost: ¥700,000)
Keywordsblock design / design of experiment / construction / analysis / combinatorial structure / BIBD / PBTBD / GD / 解析
Research Abstract

This is a 3-year research project and this year is final The activity done for the period is summarized as follows.
Research results on this project were presented in many conferences (including international conferences on statistics and combinatorics) to communicate with other researchers and then we have received many positive comments or suggestions. Such conferences and meetings are organized, in Japan, at Kyoto Univ., International Institute of Natural Science in Kurashilki, Saitama Univ., Kobe Univ., Keio Univ., Tohoku Univ., Asihara City, Ueyama City, while, outside Japan, at Brisbane in Australia, Tomar in Portugal, and Bratislava in Slovakia. Most of them are presented as invited papers. We have obtained many useful and fruitful comments or information to develop our project further through such experience.
Some of our main results are described below.
1. Some methods of construction are obtained for the following classes of block designs and combinatorial structures: BIB designs, group divisible designs, diallel crosses for comparative experiments, rectangular designs, difference families, triangular designs, fractionally factorial designs, 3-designs, split-block designs, balanced treatment block designs, orthogonal arrays. Also, the existence problem of affine α-resolvable block designs has been discussed with some fruitful results.
2. From a view of point on analysis of valiance, the statistical analysis of fractionally factorial designs are considered with some constructions.
3. We study a combinatorial interface between code constructions and some results are obtained.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (123 results)

All 2008 2007 2006 2005 Other

All Journal Article (96 results) (of which Peer Reviewed: 37 results) Presentation (21 results) Book (6 results)

  • [Journal Article] On bounds of the number of blocks in α-resolvable BIB designs2008

    • Author(s)
      S. Kadowaki
    • Journal Title

      J. Statist. Appl. 3

      Pages: 23-31

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On bounds of the number of blocks in α-resolvable BIB designs2008

    • Author(s)
      S., Kadowaki
    • Journal Title

      J. Statist. Appl 3

      Pages: 23-31

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On determination of optimum size and shape of plots in field trials2007

    • Author(s)
      S. Pal
    • Journal Title

      Biom. Lett. 44

      Pages: 23-32

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] The spectrum of additive BIB designs2007

    • Author(s)
      M. Sawa
    • Journal Title

      J. Combin. Designs 15

      Pages: 235-254

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Use of complementary property of block designs in PBIB designs2007

    • Author(s)
      R. Parsad
    • Journal Title

      Ars Combin. 85

      Pages: 173-182

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On non-existence of affine α-resolvable triangular designs2007

    • Author(s)
      景山 三平
    • Journal Title

      J. Statistical Theory and Practice 1

      Pages: 291-298

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Modelling and forecasting monthly highest SENSEX values2007

    • Author(s)
      景山 三平
    • Journal Title

      Bull. Grad. School Educ. Hiroshima Univ. II56

      Pages: 31-37

    • NAID

      120000875957

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On conflict-avoiding codes of length n=4m with three active users2007

    • Author(s)
      神保 雅一
    • Journal Title

      IEEE, Transactions on Information Theory 53

      Pages: 2732-2742

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractioal 2^{m_1+m_2}factorial designs of resolution R({00,10,01,11}lO)with 2≦m_1,m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      Scientiae Mathematicae Japonicae 65

      Pages: 81-94

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^{m_1+m_2}factorial designs of resolution R({00,10,01}lO)with 2≦m_1,m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      Hiroshima Math. J. 37

      Pages: 119-143

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^{m_1+m_2}factorial designs of resolution R({10,01}lO)with 2≦m_1,m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      J. Statistical Theory and Practice 1

      Pages: 427-464

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On determination of optimum size and shape of plots in field trials2007

    • Author(s)
      S., Pal
    • Journal Title

      Biom. Lett 44

      Pages: 23-32

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The spectrum of additive BIB designs2007

    • Author(s)
      M., Sawa
    • Journal Title

      J. Combin. Designs 15

      Pages: 235-254

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Use of complementary property of block designs2007

    • Author(s)
      R., Parsad
    • Journal Title

      Ars Combin 85

      Pages: 173-182

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On non-existence of affine α-resolvable triangular designs2007

    • Author(s)
      S., Kageyama
    • Journal Title

      J. Statisctical Theory and Practice 1

      Pages: 291-298

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Modelling and forecasting monthly highest SENSEX values2007

    • Author(s)
      S., Kageyama
    • Journal Title

      Bull. Grad. School Educ. Hiroshima Univ 1156

      Pages: 31-37

    • NAID

      120000875957

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On conflict-avoiding codes of length n=4m with three active users2007

    • Author(s)
      M., Jimbo
    • Journal Title

      IEEE, Transactions on Information Theory 53

      Pages: 2732-2742

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] GA-optimal partially balanced fractional 2^<{m_1+m_2}> factorial designs of resolution R({00,10,01,11} | 0) with 2 ≦m_1, m_2≦ 42007

    • Author(s)
      S., Lu
    • Journal Title

      Scientiae Mathematicae Japonicae 65

      Pages: 81-94

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] GA-optimal partially balanced fractional 2^<{m_1+m_2}> factorial designs of resolution R({00,10,01} | 0) with 2≦m_1, m_2≦ 42007

    • Author(s)
      S., Lu
    • Journal Title

      Hiroshima Math. J 37

      Pages: 117-143

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] GA-optimal partially balanced fractional 2^<{m_1+m_2}> factorial designs of resolution R({10,01} |0) with 2≦m_2≦ 42007

    • Author(s)
      S., Lu
    • Journal Title

      J. Statistical Theory and Practice 1

      Pages: 427-464

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On determinant of optimum size and shape of plots in field trials2007

    • Author(s)
      S. Pal
    • Journal Title

      Biom. Lett. 44

      Pages: 23-32

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On conflict avoiding codes of length n=4m with three active users2007

    • Author(s)
      神保 雅一
    • Journal Title

      IEEE, Transactions on Information Theory 53

      Pages: 2732-2742

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^ {m_1+m_2} factorial designs of resolution R ({00,10,01,11}〓O) with 2≦m_1, m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      Scientiae Mathematicae Japonicae 65

      Pages: 81-94

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^ {m_1+m_2} factorial designs of resolution R ({00,10,01}〓O) with 2≦m_1, m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      Hiroshima Math. J. 37

      Pages: 119-143

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^ {m_1+m_2} factorial designs of resolution R ({10,01}|O) with 2≦m_1, m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      J. Statistical Theory and Practice 1

      Pages: 427-464

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2-{m_1+m_2} factorial designs of resolutions R{00,10,01,11}| omega) with 2<=m_1,m_2<=42007

    • Author(s)
      S.Lu
    • Journal Title

      Scientiae Mathematicae Japonicae 65

      Pages: 1103-1116

    • Related Report
      2006 Annual Research Report
  • [Journal Article] GA-optimal partially balanced fractional 2-{m_1+m_2} factorial designs of resolutions R{00,10,01}| omega) with 2<=m_1,m_2<=42007

    • Author(s)
      S.Lu
    • Journal Title

      Hiroshima Math. J. 37

      Pages: 119-143

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Cyclic sequences of k-subsets with distinct consecutive unions2007

    • Author(s)
      M.Mueller
    • Journal Title

      Discrete Math. (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A construction of resistant resolvable 3-designs without repeated blocks2006

    • Author(s)
      S. Rudra
    • Journal Title

      Utilitas Math. 70

      Pages: 99-107

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A method of construction of a quasi affine α-resolvable PBIB design with Latin squares2006

    • Author(s)
      R. N. Mohan
    • Journal Title

      Varahmihir J. Math. Sci. 6

      Pages: 355-362

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Cyclic sequences of k-subsets with distinct consecutive unions2006

    • Author(s)
      M. Mueller
    • Journal Title

      Discrete Math. 308

      Pages: 457-464

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2 ^{m_l+m_2}factorial designs of resolution R ({00,10,01,20}|0)2006

    • Author(s)
      M. Kuwada
    • Journal Title

      Communications in Statistics-Theor. and Meth. 35

      Pages: 2035-2053

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2 ^{m_l+m_2}factorial designs of resolution R ({00,10,01,20}|0)and R ({00,10,01,20,|0)2006

    • Author(s)
      M. Kuwada
    • Journal Title

      J. Japan Statist. Soc. 36

      Pages: 237-259

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Constructions for rectangular designs2006

    • Author(s)
      K. Ozawa
    • Journal Title

      Utilitas Math. 71

      Pages: 179-196

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] An addition structure on incidence matrices of a BIB Design2006

    • Author(s)
      K. Matsubara
    • Journal Title

      Ars Combinatoria 78

      Pages: 113-122

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Constructions of group divisible designs and related combinatorial structures2006

    • Author(s)
      K. Sinha
    • Journal Title

      J. Statist. Plann. Inference 136

      Pages: 3281-3286

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A-optimal diallel crosses for test versus control comparisons2006

    • Author(s)
      A. Das
    • Journal Title

      J. Applied Statist. 33

      Pages: 601-608

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Modelling pest incidence-A nonparametric approach2006

    • Author(s)
      景山 三平
    • Journal Title

      J. Combin. Infor. System Sci. 31

      Pages: 113-126

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A construction of resistant resolvable 3-designs without repeated blocks2006

    • Author(s)
      S., Rudra
    • Journal Title

      Utilitas Math 70

      Pages: 99-107

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A method of construction of a quasi affine α-resolvable PBIB design with Latin square2006

    • Author(s)
      R., N., Mohan
    • Journal Title

      Varahmihir J. Math. Sci 6

      Pages: 355-362

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Cyclic sequences of k-subsets with distinct consecutive unions2006

    • Author(s)
      M., Mueller
    • Journal Title

      Discrete Math 308

      Pages: 457-464

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] GA-optimal partially balanced fractional 2^<{m_1+m_2}> factorial designs of resolution R({00,10,01,20} | 0)2006

    • Author(s)
      M., Kuwada
    • Journal Title

      Communications in Statistics - Theor. and Meth 35

      Pages: 2035-2053

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] GA-optimal partially balanced fractional 2^<{m_1+m_2}> factorial designs of resolution R({00,10,01,20,02} | 0) and R({00,10,01,20,11} | 0)2006

    • Author(s)
      M., Kuwada
    • Journal Title

      J. Japan Statist. Soc 36

      Pages: 237-259

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Constructions for rectangular designs2006

    • Author(s)
      K., Ozawa
    • Journal Title

      Utilitas Math 71

      Pages: 179-196

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] An addition structure on incidence matrices of a BIB design2006

    • Author(s)
      K., Matsubara
    • Journal Title

      Ars Combinatoria 78

      Pages: 113-122

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Constructions of group divisible designs and related combinatorial structures2006

    • Author(s)
      K., Sinha
    • Journal Title

      J. Statist. Plann. Inference 136

      Pages: 3281-3286

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A-optimal diallel crosses for test versus control comparisons2006

    • Author(s)
      A., Das
    • Journal Title

      J. Applied Statist 33

      Pages: 601-608

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Modelling pest incidence -A nonparametric approach2006

    • Author(s)
      S., Kageyama
    • Journal Title

      J. Combin. Infor. System Sci 31

      Pages: 113-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Constructions of group divisible designs and related combinatorial structures2006

    • Author(s)
      K.Sinha
    • Journal Title

      J. Statist. Plann. Inference 136

      Pages: 3281-3286

    • Related Report
      2006 Annual Research Report
  • [Journal Article] An addition structure on incidence matrices of a BIB design2006

    • Author(s)
      K.Matsubara
    • Journal Title

      Ars Combinatoria 78

      Pages: 113-122

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A-optimal diallel crosses for test versus control comparisons2006

    • Author(s)
      Ashish Das
    • Journal Title

      J. Applied Statist. 33

      Pages: 601-608

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Modelling pest incidence - A nonparametric approach2006

    • Author(s)
      景山 三平
    • Journal Title

      J. Combin. Infor. System Sci. 31

      Pages: 291-304

    • Related Report
      2006 Annual Research Report
  • [Journal Article] GA-optimal partially balanced fractional 2-{m_1+m_2} factorial designs of resolutions R{00,10,01,20,02}| omega) and R{00,10,01,20,11}| omega) with 2<=m_1,m_2<=42006

    • Author(s)
      M.Kuwada
    • Journal Title

      J, Japan Statist. Soc. 36

      Pages: 237-259

    • Related Report
      2006 Annual Research Report
  • [Journal Article] GA-optimal partially balanced fractional 2-{m_1+m_2} factorial designs of resolutions R{00,10,01,20}| omega) with 2<=m_1,m_2<=42006

    • Author(s)
      M.Kuwada
    • Journal Title

      Commun. Statist. - Theor. Meth. 35

      Pages: 2035-2053

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Constructions for rectangular designs2006

    • Author(s)
      K.Ozawa
    • Journal Title

      Utilitas Math. Vol.71

      Pages: 179-196

    • Related Report
      2006 Annual Research Report
  • [Journal Article] GA-optimal partially balanced fractional 2^{m_1+m_2} factorial designs of resolution R({00,10,01,20}|0)2006

    • Author(s)
      M.Kuwada
    • Journal Title

      Communications in Statistics - Theor.and Meth. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] An addition structure on incidence matrices of a BIB designs2006

    • Author(s)
      K.Matsubara
    • Journal Title

      Ars Combinatoria 78

      Pages: 113-122

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Cyclic sequences of k-subsets with distinct consequtive unions2006

    • Author(s)
      M.Mueller
    • Journal Title

      Discrete Math. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Constructions for rectangular designs2006

    • Author(s)
      K.Ozawa
    • Journal Title

      Utilitas Math. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Cluttered ordering for the complete bipartite graph2006

    • Author(s)
      T.Adachi
    • Journal Title

      Discrete Appl.Math. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Further constructions for BIB designs with nested rows and columns2006

    • Author(s)
      T.Hishida
    • Journal Title

      Ars Combinatoria (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A-efficient balanced treatment incomplete block designs2005

    • Author(s)
      A. Das
    • Journal Title

      Australasian J. Combinatorics 32

      Pages: 243-252

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Constructions of 3-resolvable nested 3-designs and 3-wise balanced designs2005

    • Author(s)
      S. Rudra
    • Journal Title

      Australasian J. Combinatorics 33

      Pages: 77-86

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Recursive constructions on large sets of some balanced incomplete block designs2005

    • Author(s)
      M. Kimura
    • Journal Title

      Ars Combinatoria 75

      Pages: 97-104

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Classification of affine μ-resolvable BIB designs2005

    • Author(s)
      景山 三平
    • Journal Title

      Bull. Grad. School Educ. Hiroshima Univ. II54

      Pages: 31-38

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Resolvable semi-balanced incomplete split-block designs2005

    • Author(s)
      S. Kuriki
    • Journal Title

      Metrika 61

      Pages: 9-16

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Constructions of nested pairwise efficiency and variance balanced designs2005

    • Author(s)
      景山 三平
    • Journal Title

      Communications in Statistics-Theor. and Meth. 34

      Pages: 1571-1578

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A-efficient balanced treatment incomplete block design2005

    • Author(s)
      A., Das
    • Journal Title

      Australasian J. Combinatorics 32

      Pages: 243-252

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Constructions of 3-resolvable nested 3-designs and 3-wise balanced designs2005

    • Author(s)
      S., Rudra
    • Journal Title

      Australasian J. Combinatorics 33

      Pages: 77-86

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Recursive constructions on large sets of some balanced incom-plete block designs2005

    • Author(s)
      M., Kimura
    • Journal Title

      Ars Combinatoria 75

      Pages: 97-104

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Classification of affine μ-resolvable BIB designs2005

    • Author(s)
      S., Kageyama
    • Journal Title

      Bull. Grad. School Educ. Hirohsima Univ 1154

      Pages: 31-38

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Resolvable semi-balanced incomplete split-block designs2005

    • Author(s)
      S., Kuriki
    • Journal Title

      Metrika 61

      Pages: 9-16

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Constructions of nested pairwise efficiency and variance balanced designs2005

    • Author(s)
      S., Kageyama
    • Journal Title

      Communications in Statistics-Theor. and Meth 34

      Pages: 1571-1578

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A-efficient balanced treatment incomplete block designs2005

    • Author(s)
      A.Das
    • Journal Title

      Australasian J.Combinatorics 32

      Pages: 243-252

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Constructions of 3-resolvable nested 3-designs and 3-wise balanced designs2005

    • Author(s)
      S.Rudra
    • Journal Title

      Australasian J.Combinatorics 33

      Pages: 77-86

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Recursive constructions on large sets of some balanced incomplete block designs2005

    • Author(s)
      M.Kimura
    • Journal Title

      Ars Combinatoria 75

      Pages: 97-104

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Classification of affine mu-resolvable BIB designs2005

    • Author(s)
      景山三平
    • Journal Title

      Bull.Grad.School Educ.(Hirroshima Univ.) II,54

      Pages: 31-38

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Resolvable semi-balanced incomplete split-block designs2005

    • Author(s)
      S.Kuriki
    • Journal Title

      Metrika 61

      Pages: 9-16

    • Related Report
      2005 Annual Research Report
  • [Journal Article] On the analysis of experiments in affine resolvable designs

    • Author(s)
      T. Calinski
    • Journal Title

      J. Statist. Plann. Inference (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Non-validity of affine α-resolvability in regular group divisible designs

    • Author(s)
      景山 三平
    • Journal Title

      J. Statist. Plann. Inference (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A 2-resolvable BIBD(10,15,6,4,2)does not exist

    • Author(s)
      S. Kadowaki
    • Journal Title

      Bulletin of the ICA (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Constant weight conflict-avoiding codes

    • Author(s)
      K. Momihara
    • Journal Title

      SIAM J. on Discrete Math. (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A positive detecting code and its decoding algorithm for DNA library screening

    • Author(s)
      H. Uehara
    • Journal Title

      IEEE/ACM Transactions on Computational Biology and Bioinformatics (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Further constructions for BIB designs with nested rows and columns

    • Author(s)
      T. Hishida
    • Journal Title

      Ars Combinatoria (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Some constructions for block sequences for Steiner quadruple systems with error correcting consecutive unions

    • Author(s)
      K. Momihara
    • Journal Title

      J. Combin. Designs (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] A construction of OA(s^t,t+1,s,t)s by nonlinear functions and some classification for s=4

    • Author(s)
      S. Yagi
    • Journal Title

      J. Statist. Plann. Inference (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] On the analysis of experiments in affine resolvable designs

    • Author(s)
      T., Calinski
    • Journal Title

      J. Statist. Plann. Inference (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Non-validity of affine α-resolvability in regular group divisible designs

    • Author(s)
      S., Kagevama
    • Journal Title

      J. Statist. Plann. Inference (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A 2-resolvable BIBD(10,15,6,4,2) does not exist

    • Author(s)
      S., Kadowaki
    • Journal Title

      Bulletin of the ICA (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Constant weight conflict-avoiding codes

    • Author(s)
      K., Momihara
    • Journal Title

      SIAM J. on Discrete Math (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A positive detecting code and its decoding algorithm for DNA library screening

    • Author(s)
      H., Uehara
    • Journal Title

      IEEE/ACM Transactions on Computational Biology and Bioinformatics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Further constructions for BIB designs with nested rows and columns

    • Author(s)
      T., Hishida
    • Journal Title

      Ars Combinatoria (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Some constructions for block sequences for Steiner quadruple systems with error correcting consecutive unions

    • Author(s)
      K., Momihara
    • Journal Title

      J. Combin. Designs (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] A construction of OA(s^t,t+1,s,t)s by nonlinear functions and some classification for s=4

    • Author(s)
      S., Yagi
    • Journal Title

      J. Statist. Plann. Inference (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] The spectrum of additive BIB designs

    • Author(s)
      M.Sawa
    • Journal Title

      J. Combinatorial Designs (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On non-existence of affine alpha-resolvable triangular designs

    • Author(s)
      景山 三平
    • Journal Title

      J. Statistical Theory and Practice (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Presentation] Non-existence of affine α-resolvable triangular designs2007

    • Author(s)
      景山 三平
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東北大学、仙台市
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Annual Research Report 2007 Final Research Report Summary
  • [Presentation] Non-existence of all ne α-resolvable triangular designs2007

    • Author(s)
      S., Kageyama
    • Organizer
      Annual Meeting of Japan Mathematical Society
    • Place of Presentation
      Tohoku Univ., Sendai
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] No affine α-resolvable triangular designs under 1 ≦ α ≦ 102007

    • Author(s)
      景山 三平
    • Organizer
      Alex Rosa International Confernce on Combinatorics
    • Place of Presentation
      ブラチスラバ、スロバキア
    • Year and Date
      2007-07-03
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] No affine α-resolvable triangular designs under 1≦α≦ 102007

    • Author(s)
      S., Kageyama
    • Organizer
      Alex Rosa International Conference on Combinatorics
    • Place of Presentation
      Bratislava, Slovakia
    • Year and Date
      2007-07-03
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] No affine α-resolvable triangular designs under 1≦α≦102007

    • Author(s)
      景山 三平
    • Organizer
      Alex Rosa International Confernce on Combinatorics
    • Place of Presentation
      ブラチスラバ、スロバキア
    • Year and Date
      2007-07-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] Balanced second-order designs of resolutions R({10}US|Ω) for 3^m factorial2006

    • Author(s)
      桑田 正秀
    • Organizer
      実験計画法研究会「デザイン理論とその応用」
    • Place of Presentation
      山形県、上山市
    • Year and Date
      2006-11-22
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Conflict-avoiding codes2006

    • Author(s)
      神保 雅一
    • Organizer
      実験計画法研究会「デザイン理論とその応用」
    • Place of Presentation
      山形県、上山市
    • Year and Date
      2006-11-22
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Balanced second-order designs of resolutions R({10}U S| Ω) for 3^m factorial2006

    • Author(s)
      M., Kuwada
    • Organizer
      Study Meeting on Design Theory and its Applications
    • Place of Presentation
      Ueyama City, Yamagata
    • Year and Date
      2006-11-22
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Conflict-avoiding codes2006

    • Author(s)
      M., Jimbo
    • Organizer
      Study Meeting on Design Theory and its Applications
    • Place of Presentation
      Ueyama City, Yamagata
    • Year and Date
      2006-11-22
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] A 2-resolvable BIBD (10, 15, 6, 4, 2) does not exist2006

    • Author(s)
      景山 三平
    • Organizer
      実験計画法研究会「デザイン理論とその応用」
    • Place of Presentation
      山形県、上山市
    • Year and Date
      2006-11-21
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] A 2-resolvable BIBD(10,15,6,4,2) does not exist2006

    • Author(s)
      S., Kageyama
    • Organizer
      Study Meeting on Design Theory and its Applications
    • Place of Presentation
      Ueyama City, Yamagata
    • Year and Date
      2006-11-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] No affine resolvable triangular designs2006

    • Author(s)
      景山 三平
    • Organizer
      International Confernce on Statistics
    • Place of Presentation
      ポルトガル、トマール市
    • Year and Date
      2006-09-02
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] No affine resolvable triangular designs2006

    • Author(s)
      S., Kageyama
    • Organizer
      International Conference on Statistics
    • Place of Presentation
      Tomar, Portugal
    • Year and Date
      2006-09-02
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Constructions of resolvable group divisible designs and related designs2005

    • Author(s)
      景山 三平
    • Organizer
      International Confernce on Combinatorics
    • Place of Presentation
      オーストラリア、ブリスベン
    • Year and Date
      2005-12-07
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Constructions of resolvable group divisible designs and related designs2005

    • Author(s)
      S., Kageyama
    • Organizer
      International Conference on Combinatorics
    • Place of Presentation
      Brisbane, Australia
    • Year and Date
      2005-12-07
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 実験計画法の世界的研究概観2005

    • Author(s)
      景山 三平
    • Organizer
      組合せ論研究会
    • Place of Presentation
      倉敷市、国際自然科学研究所
    • Year and Date
      2005-09-22
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Research view in world on design of experiment2005

    • Author(s)
      S., Kageyama
    • Organizer
      Study Meeting on Combinatorics
    • Place of Presentation
      Institute of International Natural Science, Kurashiki, Okayama
    • Year and Date
      2005-09-22
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Affine α-resolvability of group divisible designs2005

    • Author(s)
      景山 三平
    • Organizer
      International Confernce on Statistics
    • Place of Presentation
      香港、浸會大学
    • Year and Date
      2005-06-22
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Affine α-resolvability of group divisible designs2005

    • Author(s)
      S., Kageyama
    • Organizer
      International Conference on Statistics
    • Place of Presentation
      Hong Kong Baptist Univ., Hong Kong
    • Year and Date
      2005-06-22
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Existence problem on block designs2005

    • Author(s)
      景山 三平
    • Organizer
      中国、南開大学、組合せセンター
    • Place of Presentation
      中国、南開市
    • Year and Date
      2005-06-08
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Existence problem on block designs2005

    • Author(s)
      S., Kageyama
    • Organizer
      Combinatorics Center
    • Place of Presentation
      Nankai Univ., China
    • Year and Date
      2005-06-08
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 教員のための数学II:解析・統計・コンピュータ2007

    • Author(s)
      池畠 良
    • Publisher
      培風館
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 時を歩いて -「思い」と「考え」のはざまで2007

    • Author(s)
      景山 三平
    • Total Pages
      157
    • Publisher
      広島大学附属小学校 学校教育研究会
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] Mathematics II for Teachers : Analysis, Statistics and Computer2007

    • Author(s)
      R., Ikehata
    • Publisher
      Baihu-kan
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] The trip of Time -between thinking and considering-2007

    • Author(s)
      S., Kageyama
    • Total Pages
      157
    • Publisher
      Gakou Kyouiku Kenkyukai
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 中学校・高校数学科「新教材の開発とアイデア」2006

    • Author(s)
      正田 実
    • Publisher
      明治図書
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] Development of New Material and its Idea in Junior and Senior High Schools2006

    • Author(s)
      M., Shoda
    • Publisher
      Meiji Tosho
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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