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1996 Fiscal Year Final Research Report Summary

Unified theory for analysis in designs and its applications

Research Project

Project/Area Number 08044088
Research Category

Grant-in-Aid for international Scientific Research

Allocation TypeSingle-year Grants
SectionJoint Research
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) T. Calinski  ポズナニ農業大学, 名誉教授
JIMBO Masakazu  Gifu University, Faculty of Engineering Professor, 工学部, 教授 (50103049)
KUWADA Masahide  Hiroshima University, Faculty of Integrated Arts and Sciences Professor, 総合科学部, 教授 (10144891)
FUJIKOSHI Yasunori  Hiroshima University, Faculty of Science Professor, 理学部, 教授 (40033849)
SHOHOJI Takao  Hiroshima University, Faculty of Integrated Arts and Sciences Professor, 総合科学部, 教授 (00033910)
CALINSKI Tadeusz  Agricultural University of Poznan Emeritus Professor
Project Period (FY) 1996
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 61 papers for the period in 1996 to 1997 related to the topics in the project. To derive a unified theory for analysis in designs with reference to its applications, several results below are also obtained. In fact, five 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) The characterization of comnbinatorial properties of some nested balanced incomplete block designs.

  • Research Products

    (72 results)

All Other

All Publications (72 results)

  • [Publications] T.Calinski: "The randowigation model for experiments in block dergns and the recovery of interblock in formation" Journal of StaTistical Planning and Inference. 52. 359-374 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Sinho: "Some new non-proper variance-balanced designs with unoqual leplications" Statistics 4 Probability Letters. 27. 149-153 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "A few results on block-colurings of designs" Hiroshima Mathematical Journal. 26. 245-251 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] X.Duan: "Robustness of variance balanced designs against the unaviilability of some observations" Hiroshima Mathematical Journal. 26. 351-362 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "The spectrum of nested designs with block size three or four" Congressus Numerantium. 114. 73-80 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Commer to on a paper “On the existence of BLUEs under a randomigation model for the randomiged block design"" Listy Biomotryczne-Biometrical Lett. 33. 14-17 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Some nan-embeddable quasi-derived designs" Journal of Combinatorial Theory Ser.A. 76. 295-304 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Some constructions of semiframes" Al-s Combinatoria. 43. 17-31 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Banerjee: "Non-isomorphic solutions of group divitibk designs with R=3 and b=0" Journal of Statistical planning and Inference. 56. 23-32 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Calinski: "Block designs: their combinatorial and statistical properties" Handbool of statistics,North-Holland. 13. 809-873 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kageyama: "Genercl methods of construction of balanod designs" Bull. Fac. Sch. Educ. Hiroshima Univ. PartII. 19. 57-64 (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.Fac.Sch.Educ.Hiroshima Univ. PartII. 19. 65-76 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Kuwada: "Balanced fractional 3^m factorial designs of resolution IV" Journal of Statistical Planning and Inference. (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 factoveal designs" Jr.Comb. Inf.& Syst.Sci.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tao Qin: "Relationship between adult stature and timeing of the pubertal growth spurt" American Journal of Human Biology. 8. 417-426 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Shohoji: "Remarks on a relationship between timeing of pubertal spurt and adult weight" Acta Medica Auxologica. 28. 69-74 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mishima: "A series of identities for the coefficients of inverse matrios on a Hamming Scheme" Discrete Mathematics. 156. 285-290 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Genma: "Cyclic resolvability of cyclis steiner 2-designs" Journal of Combinatorial Designs. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Futagami: "Some optimigation problems on compctcr-measuring for diversification of products-A computational algorithm-" Hiroshima Economic Review. 19. 43-68 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Fujikoshi: "Estimation and model selection in an extended grouth curve model" Hiroshima Mathematical Journal. 26. 635-647 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] R.Shimizu: "Sharp bounds for asymptotic expanaions of the distribution for scale mixtures" Anu.Inst.Statist.Math.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujikoshi: "A method for improving the large-Simple chi-squared approximations to some multivaciate test statistics" Aner.J.Math.Manag. Sci.(印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Calinski: "The basic contrasts of a block design with special peference to the recovery of infel-block information" Tatra Mountrius Matheational Publications. 7. 23-37 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Calinski: "A fresh look at testing hypotheses on dimensionalty in the MANOVA model" S rie des Documents de Tavail de Centre de Recherche eu economie et stofistigue. NO.9632. 16 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Calinski: "On the existence of BLUEs under a randomigation model for the randomiged block design" Listy Biometrical letters. 33. 1-23 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Sari-Gorla: "Defection of QTL **Emil-onment interaction in mage by a lust sguaies intenal mapping inethool" Heredity. (印刷中).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] B.Bogacka: "On optimality criteria of experimental block design under linear mixed models" Tatra Mountrius mathematical Publications. 7. 45-52 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D.Kachlicka: "Repeated row-colunn designs with split units" Compat. Statist. 4 Data Analysis. 21. 293-305 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Mejza: "Incomplete split plot genertal by GDPRIRD(2)" Calaitta Statist. Assis.Bull.46. 117-127 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Regalski: "Field experiment as an element assiting solution of research problems concerning pratal management" Fragments Agromomica. 13. 118-129 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Mejza: "Split-blooks in series of experiments" Apphcations of statistics to Agriculture. 77-86 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Biszof: "Remaks on the analysio of blook experimeats of dichctomaus uaviahles" Biometrical Colloquium. 26. 155-162 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Mejza: "Couparkon of populations ugecl by mixture of dichctomcus and cintinuous uaviahles" Biometrical Colloquium. 26. 210-216 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D.Kachhcka: "Series of split-plot type experiments corth uhile-plot treatments in hw-cehuna denzu" Biometrical Colloquium. 26. 142-154 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Mejza: "Computer aidel design of dialled cross experiments" Statistical Methods in Plant Breeding. 146-151 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Mejza: "Computer aided planning and analysis of dialled cross experiments" Bulletin IHR.Warszua. 200. 125-136 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Calinski and S.Kageyama: "The randomization model for experiments in block designs and the recovery of inter-block information" J.Statist.Plann.Inf.52. 359-374 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Sinha, B.Jones and S.Kageyama: "Some new non-proper variance-balanced designs with unequal replications" Statist.Prob.Lett.27. 149-153 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "A few results on block-colurings of designs" Hiroshima Math.J.26. 245-251 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] X.Duan and S.Kageyama: "Robustness of variance balanced designs against the unavailability of some observations" Hiroshima Math.J.26. 351-362 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "The spectrum of nested designs with block size three or four" Congressus Numerantium. 114. 73-80 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama: "Comments on a paper "On the existence of BLUEs under a randomization model for the randomized block design" by T.Calinski" Listy Biometryczne-Biometrical Letters. 33. 14-17 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "Some non-embeddable quasi-derived designs" J.Combinatorial Theory A. 76. 295-304 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Kageyama and Y.Miao: "Some constructions of semiframes" Ars Combinatoria. 43. 17-31 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Banerjee and S.Kageyama: "Non-isomorphic solutions of group divisible designs with k=3 and (]SY.1bdabar.[)<@D21@>D2=0" J.Statist.Plann.Inference. 56. 23-32 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski and S.Kageyama: "Block designs : Their combinatorial and statistical properties" Handbook of Statistics Elsevier Science B.V., North-Holland, Amsterdam.Vol.13. 809-873 (1996)

    • 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] M.Kuwada: "Balanced fractional 3^m factorial designs of resolution IV" J.Statist.Plann.Inference. (in press).

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

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Qin, T.Shohoji and T.Sumiya: "Relationship between abult stature and timing of the pubertal growth spurt" Amer.J.Human Biology. 8. 417-426 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Shohoji, K.Kuwabara, T.Sumiya and A.S.M.Shafiul: "Remarks on a relationship between timing of pubertal spurt and adult weight" Acta Medica Auxologica. 28. 69-74 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Mishima and M.Jimbo: "A series of identities for the coefficients of inverse matrices on a Hamming scheme" Discrete Math. 156. 285-290 (1996)

    • 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. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Futagami, J.Fukunaga, T.Hirata, H.Shinnaka and Y.Fujikoshi: "Some optimization problems on coumtermeasuring for diversfication of products-A computational algorithm for the optimum variation of parts in automobile" Hiroshima Economic Review. 19. 43-68 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujikoshi and K.Satoh: "Estimation and model selection in an extended growth curve model" Hiroshima Math.J.26. 635-647 (1996)

    • 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.(in press).

    • 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.(in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski: "The basic contrasts of a block design with special reference to the recovery of inter-block information" Tatra Mountains Mathematical Publications. 7. 23-37 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski and M.Lejeune: "A fresh look at testing hypotheses on dimensionality in the MANOVA model" Swrie des Documents de Travail du Center de Recherche en Economie et Statistique No.9632, Institut National de la Statistique et des Wtudes Wconomiques, France. 16 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Calinski: "On the existence of BLUEs under a randomization model for the randomized block design (with discussion)" Listy Biometryczne-Biometrical Letters. 33. 1-23 (1996)

    • 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. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] B.Bogacka and S.Mejza: "On optimality criteria of experimental block design under linear mixed models" Tatra Mountains Mathematical Publications. 7. 45-52 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] D.Kachlicka and S.Mejza: "Repeated row-column designs with split units" Comput.Statisti.Data Analysis. 21. 293-305 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Mejza and S.Mejza: "Incomplete split plot generated by GDPBIBD(2)" Calcutta Statist.Assoc.Bull.46. 117-127 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Rogalski and S.Mejza: "Field experiment as an element assiting solution of research problems concerning pratal management" Fragmenta Agronomica. XIII. 118-129 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Mejza and S.Mejza: "Split-blocks in series of experiments" Applications of Statistics to Agriculture, Kostyra et al. (eds), ART Olsztyn. 77-86 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Biszof and S.Mejza: "Remarks on the analysis of block experiments with subgroups" Biometrical Colloquium. 26. 155-162 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Mejza: "Comparison of populations characterized by mizture of dichotomous and continuous variables" Biometrical Collquium. 26. 210-216 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] D.Kachlicka and S.Mejza: "Series of split-plot type experiments with whole-plot treatments in rwo-column design" Biometrical Colloquium. 26. 142-154 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Mejza, S.Mejza and A.Podlesny: "Computer aided design of diallel cross experiments" Statistical Methods in Plant Breeding, P.Flak (ed).ZS VTS VUZV,Nitra. 146-151 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Mejza, s.Mejza and A.: "Podlesny, Computer aided planning and analysis of diallel cross experiments" Bulletin IHR,Warszawa. 200. 125-136 (1996)

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

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Published: 1999-03-09  

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