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1997 Fiscal Year Final Research Report Summary

Unified theory for analysis in designs and its applications

Research Project

Project/Area Number 09044088
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
Research Field Statistical science
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

KAGEYAMA Sampei  Hiroshima University, Faculty of School Eduction Professor, 学校教育学部, 教授 (70033892)

Co-Investigator(Kenkyū-buntansha) MEIZA S.  ポズナニ農業大学, 教授
JIMBO Masakazu  Keio Uhiversity, Faculty of Science and Technology Professor, 理工学部, 教授 (50103049)
FUJIKOSHI Yasunori  Hiroshima University, Faculty of Science Professor, 理学部, 教授 (40033849)
KUWADA Masahide  Hiroshima University, Faculty of Integrated Arts and Sciences Professor, 総合科学部, 教授 (10144891)
SHOHOJI Takao  Hiroshima University, Faculty of Integrated Arts and Sciences Professor, 総合科学部, 教授 (00033910)
MEJZA Stanislaw  Agricultural University of Poznan'Professor
Project Period (FY) 1997
KeywordsExperimental Design / Block Design / Randomization / Statistical Model / Mixed Model / Analysis of Variance / Statistical Science / Combinatorial Theory
Research Abstract

The head investigator and 6 investigators prepare 42 papers for the period in 1997 to 1998 related to the topics in the project. To derive a unified theory for analysis in designs with reference to its applications, several results below related to the present topic are also obtained. In fact, seven articles are prepared under the project.
(1) The presentation of unified treatment of model building by use of a principle of randomization.
(2) The derivation of statistical justification of proper block designs, based on (1).
(3) The introduction of randomization into non-proper block designs and its statistical justification, based on (1).
(4) Classification of designs depending on the number of efficiency factors and their constructions, based on the results of (1), (2) and (3).
(5) The characterization of comnbinatorial properties of some nested balanced incomplete block designs, and the optimality and construction of split-block designs

  • Research Products

    (84 results)

All Other

All Publications (84 results)

  • [Publications] T.Shohoji: "On analysis of physical growth of Japanese" KJCS,Multivariate Analysis and Computing. 312-321 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Kuwada: "Balanced froctional 3^m factorial designs of resolution IV" J.Statist.Plann.Inference. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Kuwada: "On some partially balanced fractional 2^<m1+m2> factorial designs of resolution IV" J.Japan Statist.Soc.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Kuwada: "On Some estimable parametric functions for balanced fractional 2^m factorial designs" Jr.Comb.Inf.4 Syst.Sci.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Genma: "Cyclic resolvability of cyclic Steiner 2-designs" J.Combinatorial Designs. 5. 177-187 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mishima: "Some types of cyclically resolvable cyclic Steiner 2-designs" Congressus Numerantium. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujikoshi: "A method of improving the large-sample chi-squared approximations to some multivariate test statistics" Amer.J.Math.Mange.Sci.17. 15-29 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Satoh: "Variable selectron on the growth curve model" J.Multivariate Analysis. 60. 277-292 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] R.Shimizu: "Sharp error bounds for asymptotic expansions of the distribution functions of scale mixtures" Ann.Inst.Statist.Math.49. 285-297 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujikoshi: "An asymptotic expansion of the distribution of Hotelling's T^2-statistic" J.Multivariate Analysis. 61. 187-193 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Naito: "Stability of the multidimensional scaling with an error model" J.Japan Statist.Soc.27. 77-91 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujikoshi: "Modified AIC and Cp statistic in multivariate regression models" Biometrika. 84. 707-716 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.kanda: "Some basic properties of the MLE's for multivariate normal distribution with monotone missing data" Amer.J.Math.Manage.Sci.((印刷中))

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] V.Ulyanov: "Non-uniform bounds for remainder term in asymptotic expansions for scale mixtures" Journal of Math.Sciences. ((印刷中))

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] F.Hering: "Incomplete split-block designs" Biom.Journal. 39. 227-238 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Mejza: "Konsekwencje niekompletnosci w ukradach o jednostkach pojedynczo rozczczepionych" Hodowla Roslin Materialy z I Krajowej Konferencji,IHAR Poznan. 167-170 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Mejza: "Badanie odrebnosci i trwatosci odmian w serii closwiactzen wielstetnich OWT" Colloquium,Biometryczue,Tom 27,Lublin. 151-158 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Biszof: "Zastosowanie testow dla hipotezy lokacyjnej w badaniach OWT" Colloquium,Biometryczne,Tom 27,Lublin. 181-186 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Mejza: "Agricultural experiments with blocking systems" Bulletin of the ISI,Session 51,Proceedings,Tom LVII,Book 1. 225-228 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] B.Bogacka: "Relationships between some classes of optimality criteria" Biometrical Letters. 34・1. 27-34 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Mejza: "Biometry" Proceedings of the XL Session of the Polish Biometric Society PTB, Poznan. (印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Mejza: "Group-divisible block designs" Encyclopedia of Statistical Sciences. 6(印刷中). (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Sari-Gorla: "Detection of QTL x Environment interaction in maize by a least squares interval mapping method" Heredity. 78. 146-157 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Caliuski: "A multivariate approach to analysing genotype-environment interactions" Advances in Biometrical Genetics:Procesdings of 10th Meeting of EUCARPIA Section. 3-14 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Caliuski: "Choix du nombre de fanctions lineaires discriminantes" Revue de Statistique Appliquee. 46. (印刷中) (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Caliuski: "Dimensionality in MANOVA tested by a closed testing procedure" J.Multivariate Analysis. (印刷中) (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "General methods of construction of balanced designs" Bull.Foc.Sch.Educ.Hiroshima Univ.,Part II. 19. 56-64 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "An error-correcting code through PBIB designs" Bull.Foc.Sch.Educ.Hiroshima Univ.,Part II. 19. 65-76 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D.Fujitake: "A class of error-correcting codes through BIB designs" Bulletin of the ICA. 19. 121-124 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S,Kageyama: "Note on a paper “1-Rotational designs with block size 4"" Bulletin of the ICA. 20. 82-84 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Sinha: "Constructions of pairwise-and variance-balanced designs" Statistics. 29. 241-250 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Nested directed BIB designs with block size three or four" Jour.Ind.Soc.Ag.Statistics. 49. 99-110 (1996-1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] X.Duan: "Some characteristic of partially balanced incomplete block designs" Bulletin of the ICA. 21. 17-21 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] R.N.Mohan: "New series of α-resolvable and almost α-resolvable PBIB designs" Utilitas Mathematics. 51. 21-26 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Philip: "Construction of nested t-associate PBIB designs under restricted dualization" Utilitas Mathematics. 51. 27-32 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Nested designs with block size five and subblock size two" J.Statist.Plann.Inference. 64. 125-139 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Some constructions of variance-balanced designs" Bull.Fac.Sch.Educ.Hiroshima Univ.,Part II. 20. 17-21 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Robustness of BIB designs against the unavailability of any two observations" Bull.Fac.Sch.Educ.Hiroshima Univ.,Part II. 20. 23-28 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Calinski: "Recovery of inter-block information when the experiment is in a nested block design" Biometrical Letters. 34. 9-26 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "A construction for resolvable designs and its generalizations" Graphs and Combinatorics. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Nested designs of superblock size four" J.Statist.Plann.Inference. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "How to nest a parfect Mendelsohn design with block size three or four" J.Combin.Infor.Sys.Sci.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Shohoji: "On analysis of physical growth of Japanese" KJCS,Multivariate Analysis and Computing. 312-321 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Kuwada and K.Ikeda: "Balanced fractional 3^m factorial designs of resolution IV" J.Statist.Plann.Inference. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Kuwada and K.Ikeda: "On some partially Balanced fractional 2^<m1+m2> factorial designs of resolution IV" J.Japan Statist.Soc. 28-1 (to appear). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Kuwada and T.Yanal: "On some estimable parametric functions for balanced fractional 2^m factorial designs." Jr.Comb. Inf. Syst. Sci. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Genma, M.Mishima and M.Jimbo.: "Cyclic resolvability of cyclic Steiner 2-designs" J.Combinatorial Designs. 5. 177-189 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Mishima and M.Jimbo: "Some types of cyclically resolvable cyclic Steiner 2-designs" Congressus Numerantium. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujikoshi: "A method for improving the large-sample chi-squared approximations to some multivariate test statistics." Amer.J.Math.Mang.Sci. 17. 15-29 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Satoh, M.Kobayashi and Y.Fujikoshi: "Variable selection on the growth curve model" J.Multivariate Analysis. 60. 277-292 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R.Shimizu and Y.Fujikoshi: "Sharp error bounds for asymptotic expansions of the distribution functions of scale mixtures" Ann.Inst.Statist.Math.49. 285-297 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujikoshi: "An asymptotic expansion of the distribution of Hotelling's T^2-statistics." J.Multivariate Analysis. 61. 187-193 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Naito, S.Murata and Y.Fujikoshi: "Stability of the multidimensional scaling with an error model" J.Japan Statist.Soc.27. 77-91 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujikoshi and K.Satoh: "Modified AIC and C_P in multivariate regression models" Biometrik. 84. 707-716 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kanda and Y.Fujikoshi: "Some basic properties of the MLE's for multivariate normal distribution with monotone missing data" Amer.J.Math.Manage.Sci.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] V.Ulyanov, Y.Fujikoshi and R.Shimizu: "Non-uniform bounds for remainder term in asymptotic expansions for scale mixtures" Journal of Math.Science. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] F.Hering and S.Mejza: "Incomplete split-block designs" Biom.Journal. 39. 227-238 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Mejza and S.Mejza: "Consequences of incompleteness in split plot type experiments" Hodowla Roslin, Materialy z I Krajowej Konferencji, IHAR Poznan. 167-170 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Mejza: "Badanie odrebnosci i trwalosci odmian w serii doswiadczen wieloletnich OWT" Colloquium Biometryczne. 27. 151-158 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Biszof and S.Mejza: "Application of the location hypothesis in DUS trials" Colloquium Biometryczne. 27. 181-186 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Mejza: "Agricultural experiments with blocking systems" Bulletin of the ISI,Session 51, Proceedings, LVII,Book 1. 225-228 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] B.Bogacka and S.Mejza: "Relationships between some classes of optimality criteria" Bio-metrical Letters. 34. 27-34 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Mejza: "Biometria, Materialy XLII Sesji Naukowej" Biometry, Proceedings of the XL Session of the Polish Biometric Society PTB,Poznan. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Mejza and S.Mejza: "Group-divisible block d designs" S.Kotz and N.L.Johnson, eds. Encyclopedia of Statistical Sciences. Vol.6. (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Sari-Gorla, T.Calinski, Z.kaczmarek and P.Krajewski: "Detection of QTL*Environment interaction in maize by a least squares interval mapping method" Heredity. 78. 146-157 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski, S.Czajka and Z.Kaczmarek: "A multivariate approach to analysing genotypeenvironment interactions" P.Krajewski and Z.Kaczmarek, eds., Advances in Biometrical Genetics : Proceedings of the Tenth Meeting of the EUCARPIA Section Biometrics in Plant Breeding, Institute of Plant Genetics, Polish Academy of Sciences, Poznan. 3-14 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski and M.Lejeune: "Choix du nombre de fonctions lineaires discriminantes" Revue de Statistique Appliquee. 46 (to appear). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski and M.Lejeune: "Dimensionality in MANOVA tested by a closed testing procedure" Journal of Multivariate Analysis. (to appear). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama, S.Pal and A.Majumder: "General methods of construction of balanced designs" bull.Fac.Sch.Educ.Hiroshima Univ.Part II. 19. 57-64 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama, T.shimata and D.Fujitake: "An error-correcting code through PBIB designs" Bull.Fac.Sch.Educ.Hiroshima Univ. Part II. 19. 65-76 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] D.Fujitake, S.Kageyama and T.Shimata: "A class of error-correcting codes through BIB designs" Bulletin of the ICA. 19. 121-124 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "Note on a paper "1-Rotational designs with block size 4"" Bulletin of the ICA. 20. 82-84 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Sinha, B.Jones and S.Kageyama: "Constructions of pairwise-and variance-balanced designs" Statistics. 29. 241-250 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "Nested directed BIB designs with block size three or four" Jour.Ind.Soc.Ag.Statistics. 49. 99-100 (1996-1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] X.Duan and S.Kageyama: "Some characteristic of partially balanced incomplete block designs" Bulletin of the ICA. 21. 17-21 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R.N.Mohan and S.Kageyama: "New series of alpha-resolvable and almost alpha-resolvable PBIB designs" Utilitas Math. 51. 21-26 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Philip, S.Banerjee and S.Kageyama: "Construction of nested t-associate PBIB designs under restricted dualization" Utilitas Math. 51. 27-32 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "Nested designs with block size five and subblock size two" J.Statist.Plann.Inference. 64. 125-139 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama, S.Pal and A.Majumder: "Some constructions of variance-balanced designs" Bull.Fac.Sch.Educ.Hiroshima Univ.Part II. 20. 17-21 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and H.Setoya: "Robustness of BIB designs against the unavailability of any two observations, Bull.Fac.Sch.Educ" Hiroshima Univ.Part II. 20. 23-28 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski: "Recovery of inter-block information when the experiment is in a nested block design" Biometrical Letters. 34. 9-26 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "A construction for resolvable designs and its generalizations" Graphs and Combinatorics. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "Nested designs of superblock size four" J.Statist.Plann Inference. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "How to nest a perfect Mendelsohn design with block size three or four" J.Combin.Infor.Sys.Sci.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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