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Study on construction and analysis of balanced fractional3^m factorial designs-main effects being estimable

Research Project

Project/Area Number 17500181
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

KUWADA Masahide  Hiroshima University, Graduate School of Engineering, Professor (10144891)

Co-Investigator(Kenkyū-buntansha) KAGEYAMA Sanpei  HIROSHIMA UNIVERSITY, Graduate School of Education, Professor (70033892)
HYODO Yoshifumi  Okayama University of Science, Graduare School of Informatics, Professor (90189811)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,200,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
KeywordsBalanced designs / Resolution / Simple arrays / Matrix equations / Information matrices / Relationship algebras / Index set / Factorial effects / 釣合い型2次計画 / 制約された単純配列
Research Abstract

In this study, we obtain similar results to the (partially) balanced fractional ((P) BFF) designs for the 2 levels whose research was partially supported by Grand-in-Aid for Scientific Research (C) of the JSPS under contract number 14580348. In the 2 levels case, the irreducible representation of the information matrix w.r.t. the ideals of some algebra can be described by the product of the Gram matrix. The linearly independent column vectors of the Gram matrix concerned with an index of a simple array (SA) are only one for the 2 levels SA, but for 3 levels SA, one or two.
1. Construction of designs : (1) Balanced second-order (3^m-BSO) designs : Under the second-order model, if the linear component of the main effect are estimable, then a design is said to be of resolutions R({10}∪S|Ω). An SA with indices whose suffices have at least one zero is called a "restricted SA (RSA)". A 3^-BSO design of resolutions R({10}∪S|Ω) is constructed by an RSA with N<v(m) except for only one design, wh … More ere N is the total number of the experimental units and v(m) is the number of non-negligible factorial effects.
(2) 3^m-BFF designs of resolution IV: Using the similar method mentioned (1), we can obtain 3^m-BFF designs of resolution IV derived from an SA with N<v(m). In the BFF design class, there are generally fourteen kinds of resolution IV designs.
2. Optimality criterion: The GA-optimal criterion was introduced by the previous research mentioned above. The confounding (or aliasing) relations among the 2-factor interactions (some case include the general mean) are expressed as plural formulas. Thus we introduce new optimality criterion, which is called "GA^*-optimality criterion". It is an improvement of the GA-optimality criterion.
3. Optimal designs : (1) 3"-BSO designs : Optimal 3^m-BSO designs derived from an SA with N<v(m) w.r.t. the GA"-optimality criterion are obtained for 4〓m〓6.
(2) 3^m-BFF designs : In this case, optimal designs derived from an SA with SA with N<v(m) w.r.t. the GA*-optimality criterion are not obtained yet. Less

Report

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

Research Products

(87 results)

All 2008 2007 2006 2005 Other

All Journal Article (75 results) (of which Peer Reviewed: 31 results) Presentation (12 results)

  • [Journal Article] On non-existence of affine α-resolvable triangular designs2008

    • Author(s)
      S. Kageyama
    • Journal Title

      J. Statist. Theory & Practice 1

      Pages: 291-298

    • 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 trials2008

    • 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] On non-existence of affine α-resolvable triangular designs2008

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

      J. Statist. Theory & 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] On the analysis of experiments in affine resolvable designs2008

    • Author(s)
      T. Calinski
    • Journal Title

      Journal of Statistical Planning and Inference 20(to appear)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-validity of affine α-resolvability in regular group divisible designs2008

    • Author(s)
      S. Kageyama
    • Journal Title

      Journal of Statistical Planning and Inference 20(to appear)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On bounds of the number of blocks in α-resolvable BIB designs2008

    • Author(s)
      S. Kageyama
    • Journal Title

      Journal of Statistics and Applications 20(to appear)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolu-tions R({00.10,01,11}|Ω) 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^<m1+m2> factorial designs of resolu-tions R({00.10,01}|Ω) with 2≦m_1,m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      Hiroshima Mat. 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^<m1+m2> factorial designs of resolu-tions R({10,01}|Ω) with 2≦m_1,m_2≦42007

    • Author(s)
      S. Lu
    • Journal Title

      J. Statist. Theory & 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] The spectrum of additive BIB designs2007

    • Author(s)
      S. Kageyama
    • 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 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 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R ({00.10,01,11}|Ω) 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^<m1+m2> factorial designs of resolution R ({00.10,01}|Ω) with 2〓m_1,m_2〓42007

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

      Hiroshima Mat. J 37

      Pages: 119-143

    • 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^<m1+m2> factorial designs of resolution R ({10,01}| 0) with 2〓m_1, m_2〓42007

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

      J. Statist. Theory & 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] The spectrum of additive BIB designs2007

    • Author(s)
      S., Kageyama
    • 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 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(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R({00,10,01,11}|Ω)with 2〓m_1,m_2〓42007

    • Author(s)
      S. Lu
    • Journal Title

      Scientiae Mathematicae Japonicae 65・1

      Pages: 81-94

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R({00,10,01,}|Ω)with 2〓m_1,m_2〓42007

    • Author(s)
      S. Lu
    • Journal Title

      Hiroshima Mathematical Journal 37・1

      Pages: 119-143

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolutions R({10,01}〓Ω*|Ω)with 2〓m_1,m_2〓42007

    • Author(s)
      S. Lu
    • Journal Title

      Journal of Statistical Theory and Practice 1・3&4

      Pages: 427-464

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The spectrum of additive BIB designs2007

    • Author(s)
      S. Kageyama
    • Journal Title

      Journal of Combinatorial Designs 15

      Pages: 235-254

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Use of complementary property of block designs in PBIB designs2007

    • Author(s)
      R. Parsad
    • Journal Title

      Ars Combinatoria 85

      Pages: 173-182

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On non-existence of affine α-resolvable triangular designs2007

    • Author(s)
      S. Kageyama
    • Journal Title

      Journal of Statistical Theory and Practice 1

      Pages: 291-298

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R({00,10,01,11}|Ω) with 2 【less than or equal】m_1【less than or equal】m_2【less than or equal】42007

    • Author(s)
      S.Lu
    • Journal Title

      Scientiae Mathematicae Japonicae 65・1

      Pages: 81-94

    • Related Report
      2006 Annual Research Report
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R({00,10,01}|Ω) with 2 【less than or equal】m_1【less than or equal】m_2【less than or equal】42007

    • Author(s)
      S.Lu
    • Journal Title

      Hiroshima Math. J 37・1

      Pages: 119-143

    • Related Report
      2006 Annual Research Report
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolu-tions R({00.10,01,20,02}|Ω) and R({00.10,01,20,11}|Ω) with 2≦m_1,m2≦42006

    • Author(s)
      M. Kuwada
    • Journal Title

      J. Japan Staist. 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] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolu-tions R({00.10,01,20}|Ω) with 2≦m_1,m_2≦42006

    • Author(s)
      M. Kuwada
    • Journal Title

      Commun. Statist.-Theory 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] 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 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] An addition structure on incidence matrices of a BIB design2006

    • Author(s)
      S. Kageyama
    • Journal Title

      Ars Combin.e 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] 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] Modeling pest incidence - a nonparametric approach2006

    • Author(s)
      S. Pal
    • Journal Title

      J. Combin. Infor. Syst, 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 method of construction of a quasi afine 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] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolutions R ({00.10,01,20,02}|Ω) and R ({00.10,01,20,11)|Ω) with 2〓m_1, m_2〓42006

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

      J. Japan Staist. 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] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R({00.10,01,20}|Ω) with 2〓m_1,m_2〓42006

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

      Commun. Statist.-Theory 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] 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 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] An addition structure on incidence matrices of a BIB design2006

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

      Ars Combin.e 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] A-optimal diallel crosses for test versus control comparisons2006

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

      J. Applied Statist 33

      Pages: 601-606

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

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

      J. Combin. Infor. Syst, 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] A method of construction of a quasi afine 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(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] On determination of optimum size and shape of plots in field trials2006

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

      Biom. let 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] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R({00,10,01,20}|Ω) with 2 【less than or equal】m_1,m_2【less than or equal】42006

    • Author(s)
      M.Kuwada
    • Journal Title

      Commun, Statist.-Theory Meth. 35・11

      Pages: 2035-2053

    • Related Report
      2006 Annual Research Report
  • [Journal Article] GA-optimal partially balanced fractional 2^<m1+m2> factorial designs of resolution R({00,10,01,20,20}|Ω) with 2 【less than or equal】m_1,m_2【less than or equal】42006

    • Author(s)
      M.Kuwada
    • Journal Title

      J. Japan Statist. Soc. 36・2

      Pages: 237-259

    • Related Report
      2006 Annual Research Report
  • [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] GA-optimal partially balanced fractional 2^<m_1+m_2> factorial designs of resolution R({00,10,01,20}|Ω) with 2【less than or equal】m_1,m_2【less than or equal】42006

    • Author(s)
      M.Kuwada
    • Journal Title

      Commun.Statist.-Theory Meth. 35・11(To appear)

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

    • Author(s)
      S. Kageyama
    • Journal Title

      Ars Combin. 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] Constructions of nested pairwise efficiency and variance balanced design2005

    • Author(s)
      S. Rudra
    • Journal Title

      Commun. Statist.-Theory 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 designs2005

    • Author(s)
      A. Das
    • Journal Title

      Austral. J. Combin. 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

      Austral. J. Combin. 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 som balanced incomplete block designs2005

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

      Ars Combin 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] Constructions of nested pairwise efficiency and variance balanced designs2005

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

      Commun. Statist.-Theory 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

      Austral. J. Combin 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

      Austral. J. Combin 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] 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)
      S.Kageyama
    • Journal Title

      Ars Combin. 75

      Pages: 97-104

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

    • Author(s)
      T. Calinski
    • Journal Title

      J. Statist. Plann. Inference (To appear)(掲載決定)

    • 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)
      S. Kageyama
    • Journal Title

      J. Statist. Plann. Inference (To appear)(掲載決定)

    • 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 designs

    • Author(s)
      S. Kageyama
    • Journal Title

      J. Statist. Appl. (To appear)(掲載決定)

    • 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 afine resolvable designs

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

      J. Statist. Plann. Inference (to appear in)

    • 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., Kageyama
    • Journal Title

      J. Statist. Plann. Inference (to appear in)

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

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

      J. Statist. Appl (to appear in)

    • 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 approach

    • Author(s)
      S.Kageyama
    • Journal Title

      J. Combin. Infor. System Sci. To appear

    • Related Report
      2006 Annual Research Report
  • [Journal Article] The spectrum of additive BIB designs

    • Author(s)
      M.Sawa
    • Journal Title

      J. Comninatorial Designs To appear

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

    • Author(s)
      S.Kageyama
    • Journal Title

      J. Statistical Theory an Practice To appear

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A construction of resolvable nested 3-designs

    • Author(s)
      S.Rai
    • Journal Title

      J.Combin.Designs (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A construction for resistant resolvable 3-designs without repeated blocks

    • Author(s)
      S.Rudra
    • Journal Title

      Utilitas Math. (To appear)

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

    • Author(s)
      S.Kageyama
    • Journal Title

      Ars Combin. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Constructions of nested pairwise efficiency and variance balanced designs

    • Author(s)
      S.Rudra
    • Journal Title

      Commun.Statist.-Theory Meth. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Constructions of group divisible designs and related combinatorial structures

    • Author(s)
      K.Sinha
    • Journal Title

      J.Statist.Plann.Inference (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Use of complementary property of block designs in PBIB designs

    • Author(s)
      R.Parsad
    • Journal Title

      Ars Combin. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Non-validity of affine α-resolvability in regular group divisible designs

    • Author(s)
      S.Kageyama
    • Journal Title

      J.Statist.Plann.Inference (To appear)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A-optimal diallel crosses for test versus control comparisons

    • Author(s)
      A.Das
    • Journal Title

      J.Applied Statist. (To appear)

    • Related Report
      2005 Annual Research Report
  • [Presentation] Balanced fractional 3^m factorial designs of resolutions R({00,10,01}∪S_1|Ω)2008

    • Author(s)
      E. Taniguchi
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Balanced fractional 3^m factorial designs of resolutions R({00,10,01}∪S1|Ω)2008

    • Author(s)
      E., Taniguchi
    • Organizer
      Mathematical Society of Japan
    • Place of Presentation
      Kinki Univ
    • Year and Date
      2008-03-25
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Balanced fractional 3^m factorial designs of resolutions R({00,10,01}〓S_1|Ω)2008

    • Author(s)
      谷口 英司
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Related Report
      2007 Annual Research Report
  • [Presentation] Balanced fractional 3^m factorial designs of resolutions R({00,10,01}∪S_2|Ω)2007

    • Author(s)
      E. Taniguchi
    • Organizer
      日本数学会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-24
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Balanced fractional 3^m factorial designs of resolutions R({00,10,01}∪S_2|Ω)2007

    • Author(s)
      E., Taniguchi
    • Organizer
      Mathematical Society of Japan
    • Place of Presentation
      Tohoku Univ
    • 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] Balanced fractional 3^m factorial designs of resolutions R({00,10,01}〓S_2|Ω)2007

    • Author(s)
      谷口 英司
    • Organizer
      日本数学会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-24
    • Related Report
      2007 Annual Research Report
  • [Presentation] Balanced second-order designs of resolutions R({10}∪S|Ω)for the 3^m factorial2007

    • Author(s)
      E. Taniguchi
    • Organizer
      日本数学会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-29
    • 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}∪S|Ω) for the 3^m factorial2007

    • Author(s)
      E., Taniguchi
    • Organizer
      Mathematical Society of Japan
    • Place of Presentation
      Saitama Univ
    • Year and Date
      2007-03-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Balanced second-order designs of resolutions R({00,10,20}|Ω)and R({00,10}|Ω)for the 3^m factorial2006

    • Author(s)
      E. Taniguchi
    • Organizer
      日本数学会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-21
    • 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({00,10,20}|Ω) and R({00,10}|Ω) for the 3^m factorial2006

    • Author(s)
      E., Taniguchi
    • Organizer
      Mathematical Society of Japan
    • Place of Presentation
      Osaka City Univ
    • Year and Date
      2006-09-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Some balanced second-order designs of resolution R({00,10,01}|Ω)for 3^m factorials2006

    • Author(s)
      E. Taniguchi
    • Organizer
      日本数学会
    • Place of Presentation
      中央大学
    • Year and Date
      2006-03-28
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Some balanced second-order designs of resolution R({00,10,01}|Ω) for 3^m factorials2006

    • Author(s)
      E., Taniguchi
    • Organizer
      Mathematical Society of Japan
    • Place of Presentation
      Chuo Univ
    • Year and Date
      2006-03-28
    • 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: 2005-03-31   Modified: 2016-04-21  

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