1996 Fiscal Year Annual Research Report

実験データ科学の数理的基礎とその応用

Research Project

Project/Area Number	07304021
Research Institution	Hiroshima University
Principal Investigator	景山三平広島大学, 学校教育学部, 教授 (70033892)
Co-Investigator(Kenkyū-buntansha)	折笠秀樹富山医科薬科大学, 医学部, 教授 (20245038) 清水邦夫東京理科大学, 理学部, 助教授 (60110946) 間瀬茂広島大学, 総合科学部, 教授 (70108190) 兵頭義史岡山理科大学, 理学部, 助教授 (90189811) 白倉暉弘神戸大学, 発達科学部, 教授 (30033913)
Keywords	組合せ論 / 離散構造 / コード / デザイン / 漸近展開 / 統計モデル / 医学データ / 環境データ
Research Abstract	実験データ解析は、自然科学はもとより社会科学を含む科学の全ての諸分野で行われる統計的解析の主要な部分を担っている。各分野の第一線の研究者の協力により、彼ら本来の研究側面からこれらの新しい手法の数理的基礎の研究を行い、データ解析学の研究に新しい局面を切り開くことが出来た。具体的には、次の研究課題(分担者)について全国的な研究集会をもち、成果を得た。特に、各分担者は互いに協力して問題点を整理・分類・研究を実施し、さらに、分担外の数理統計学者・数学者と議論するために、何回かの研究会をもち研究連絡、情報交換を行った。 1.「実験計画法の数理的基礎とその応用」(白倉暉弘・〓田正秀・兵頭義史):実験計画法の中に、配置の理論やその最適性、それらに基づいた計画の構成と分類等多くの重要な問題が存在する。ここではそれらの問題の解決及び進展を目指し、関連した研究発表が7件あり、応用面からも種々の配置から生じた実践的なデータ解析法に関するもの2件、更には実験計画法のもつ組合せ論的性質を接点にした、群論、グラフ理論、符号理論といった関連領域から5件の研究発表に対して、活発な質疑応答がなされ、グラフ理論、デザイン理論の研究者、符号理論、暗号理論の研究者の多くの参加が得られたのが特徴でもあった。 2.「地球・環境科学における統計モデルとその応用」(間瀬茂・西井龍映・清水邦夫):地球・環境科学で扱われるデータは、その実際的重要性とともに、規模の大きさ・データの大量さ等の点で統計学にとり新しい魅力である問題を数多く提起する。本研究集会では、一部専門家を交え、幅広い観点からの報告と情報交換を行った。具体的にはリモートセンシング等の観測衛生によるデータ、気象データ、地震データ等に関する統計的手法の発表があった。またそれ以外のより広い視点から地球・環境科学関連をもつ理論と応用に関する研究知見が発表され質疑討論がされた。 3.「医学・生物学データの統計モデル:理論と応用」(大瀧慈・折笠秀樹・宮原英夫):臨床試験データ、疫学研究データ、毒性データ、薬理・動態データ、成長曲線データ、用量反応データ、人口動態データなどの解析について理論的ないし実証的研究を行った。特に、独創的な新しいモデルの提案や現実のデータ解析に基づいた興味ある実証的研究報告・討論が行われ、21世紀に向けた研究の展開の指標を得た。

Research Products

(38 results)

All Other

All Publications

[Publications] T. Calinski: "The randouization model for experiments in block designs and the recovery of inter-block information" J. Statist. Plann. Inference. 52. 359-374 (1996)
[Publications] K. Sinha: "Some ner non-proper variance-balanced designs with unequal replications" Statist. & Prob. Lett.27. 149-153 (1996)
[Publications] S. Kageyama: "A few results and block-colurings of designs" Hiroshima Math. J.26. 245-251 (1996)
[Publications] X. Duan: "Robustness of variance balanced designs against the unavailability of some observations" Hiroshima Math. J.26. 351-362 (1996)
[Publications] S. Kageyama: "The spectrum of nested designs with block size three or four" Congressus Numerantium. 114. 73-80 (1996)
[Publications] S. Kageyama: "Some non-ewbeddable quasi-derived designs" J. Combinatorial Theory Series A. 76. 295-304 (1996)
[Publications] R. Nishii: "Orthogonal functions of inverse Gaussian distributions" Lifetime Data : Models in Reliability and Survival Analysis. 243-250 (1996)
[Publications] R. Nishii: "The use of univariate Bayes regression models for spatcal Smoothing" Computational Statistics and Data Analysis. (印刷中).
[Publications] S. Tanaka: "A model of deforestation by human population intersections" Environmental and Ecological Statistics. (印刷中).
[Publications] M. Minami: "Estimation for a common intraclass correlation in bivariate normal distributions with missing observations" American Journal of Mathematizal and Management Sciences. 16. (1996)
[Publications] 清水邦夫: "修正ベータ・2項分布とその雑誌購買度数データへの応用" 応用統計学. 25. 49-60 (1996)
[Publications] T. Shirakura: "Searching probabilities for nouzero effects in search designs for masy case" Annals of Statistics. (印刷中).
[Publications] S. Kagayama: "Some constructions of Semiframes" Ars Combinattoria. 43. 17-31 (1996)
[Publications] S. Banerjee: "Non-isomorphic solutions of group devisible designs with R=3 and X_1=0" J. Statist. Plann. Inference. 56. 23-32 (1996)
[Publications] S. Kageyama: "General methods of construction of balanced designs" Bull. Fac. Sch. Educ. Hiroshima Univ. Part II. 19. 57-64 (1997)
[Publications] S. Kageyama: "An error-correcting code through PBIB designs" Bull. Fac. Sch. Educ. Hiroshima Univ., Part II. 19. 65-76 (1997)
[Publications] S. Mase: "The threshold method for estimating total rainfall" Ann. Inst. Statist. Math.48. 201-213 (1996)
[Publications] R. Nishii: "Enhancement of low spatial resolution image based on high resolution bands" IEEE Transaction of Geoscience and Remote Sensing Society. 34. 1151-1158 (1996)
[Publications] S. Tazawa: "Enumeration of unlabelled bicolored grapho by degree parties" J. Statist. Plann. Inference. (印刷中).
[Publications] T. Shirakura: "Weighted A-optimality for fractional 2^m factorial designs of resolution" J. Statist. Plann. Inference. 56. 243-256 (1996)
[Publications] M. Kuwada: "Balanced fractional 3^m factorial designs of resolution IV" J. Statist. Plann. Inference. (印刷中).
[Publications] M. Kuwada: "On some estimable parametric functions for balanced fractional 2^m factorial designs" J. Combin. Inf. & Syst. Sciencs. (印刷中).
[Publications] S. Yamamoto: "New light on fractional 2^m factorial designs" J. Statist. Plann. Inference. 56. 269-287 (1996)
[Publications] 折笠秀樹: "糖尿病治療研究におけるQOL評価とメタアナリス" 内分泌・糖尿病科. 2. 8-15 (1996)
[Publications] 酒井弘憲: "高血圧薬剤治療における有害事象評価へのメタアナリシスの応用" 薬剤疫学. 1. 39-40 (1996)
[Publications] 折笠秀樹: "統計数字のトリック" ファルマシア. 32. 531-533 (1996)
[Publications] M. Owa: "Predictive validity of the Braunwald classification of unstable angina for angiographic findings, short-term progroses, and…" Angiology. (印刷中).
[Publications] 折笠秀樹: "糖尿病の臨床疫学" DITN. 221. 2-3 (1996)
[Publications] M. Otani: "Use of the Weibull hazard model to estimate age-specific probability of permanent tooth loss" J. of Dental Research. 75. 1453-1463 (1996)
[Publications] H. Watanabe: "Influence of Paternal Cf252 Neutron exposure on abnormal sperm, embryonal lethality and liver tumorigenesis in the F1" Japanese J. of Cancer Research. 87. 51-57 (1996)
[Publications] A. Taguchi: "Usefulness of panoramic radiography in the diagnosis of post menopausal osteoporosis in women, Width and…" Dentomaxillofac Radiology. 25. 263-267 (1996)
[Publications] Y. Fujikoshi: "Statistical inference in growth curve model with hierachical within-individuals design matrics" Contenporary Multivariate Analysis and Its Applications. (印刷中).
[Publications] H. Wanatabe: "Strain differences in Conference in the induction" Japanese Journal Cancer Research. (印刷中).
[Publications] 宮原英夫: "混合性結合組織癌(MCTD)のクラスター分析" 行動計量学. 23. 63-82 (1996)
[Publications] 浅井憲義: "健常男性の総合的性機能指標と性機能等価年齢" 行動計量学. (印刷中).
[Publications] 土沢健一: "入学時のMMPI尺度得点とそれによる留年予測の困難性" 行動計量学. (印刷中).
[Publications] T. Caliuski: "Design and Analysis of Experiments" North-Holland, Amsterdam, 1229(66) (1996)
[Publications] 折笠秀樹: "今日の疫学(メタアナリシス)" 医学書院, 240-250 (1996)

1996 Fiscal Year Annual Research Report

実験データ科学の数理的基礎とその応用

Principal Investigator

景山 三平 広島大学, 学校教育学部, 教授 (70033892)

Research Products

[Publications] T. Calinski: "The randouization model for experiments in block designs and the recovery of inter-block information" J. Statist. Plann. Inference. 52. 359-374 (1996)

[Publications] K. Sinha: "Some ner non-proper variance-balanced designs with unequal replications" Statist. & Prob. Lett.27. 149-153 (1996)

[Publications] S. Kageyama: "A few results and block-colurings of designs" Hiroshima Math. J.26. 245-251 (1996)

[Publications] X. Duan: "Robustness of variance balanced designs against the unavailability of some observations" Hiroshima Math. J.26. 351-362 (1996)

[Publications] S. Kageyama: "The spectrum of nested designs with block size three or four" Congressus Numerantium. 114. 73-80 (1996)

[Publications] S. Kageyama: "Some non-ewbeddable quasi-derived designs" J. Combinatorial Theory Series A. 76. 295-304 (1996)

[Publications] R. Nishii: "Orthogonal functions of inverse Gaussian distributions" Lifetime Data : Models in Reliability and Survival Analysis. 243-250 (1996)

[Publications] R. Nishii: "The use of univariate Bayes regression models for spatcal Smoothing" Computational Statistics and Data Analysis. (印刷中).

[Publications] S. Tanaka: "A model of deforestation by human population intersections" Environmental and Ecological Statistics. (印刷中).

[Publications] M. Minami: "Estimation for a common intraclass correlation in bivariate normal distributions with missing observations" American Journal of Mathematizal and Management Sciences. 16. (1996)

[Publications] 清水邦夫: "修正ベータ・2項分布とその雑誌購買度数データへの応用" 応用統計学. 25. 49-60 (1996)

[Publications] T. Shirakura: "Searching probabilities for nouzero effects in search designs for masy case" Annals of Statistics. (印刷中).

[Publications] S. Kagayama: "Some constructions of Semiframes" Ars Combinattoria. 43. 17-31 (1996)

[Publications] S. Banerjee: "Non-isomorphic solutions of group devisible designs with R=3 and X_1=0" J. Statist. Plann. Inference. 56. 23-32 (1996)

[Publications] S. Kageyama: "General methods of construction of balanced designs" Bull. Fac. Sch. Educ. Hiroshima Univ. Part II. 19. 57-64 (1997)

[Publications] S. Kageyama: "An error-correcting code through PBIB designs" Bull. Fac. Sch. Educ. Hiroshima Univ., Part II. 19. 65-76 (1997)

[Publications] S. Mase: "The threshold method for estimating total rainfall" Ann. Inst. Statist. Math.48. 201-213 (1996)

[Publications] R. Nishii: "Enhancement of low spatial resolution image based on high resolution bands" IEEE Transaction of Geoscience and Remote Sensing Society. 34. 1151-1158 (1996)

[Publications] S. Tazawa: "Enumeration of unlabelled bicolored grapho by degree parties" J. Statist. Plann. Inference. (印刷中).

[Publications] T. Shirakura: "Weighted A-optimality for fractional 2^m factorial designs of resolution" J. Statist. Plann. Inference. 56. 243-256 (1996)

[Publications] M. Kuwada: "Balanced fractional 3^m factorial designs of resolution IV" J. Statist. Plann. Inference. (印刷中).

[Publications] M. Kuwada: "On some estimable parametric functions for balanced fractional 2^m factorial designs" J. Combin. Inf. & Syst. Sciencs. (印刷中).

[Publications] S. Yamamoto: "New light on fractional 2^m factorial designs" J. Statist. Plann. Inference. 56. 269-287 (1996)

[Publications] 折笠秀樹: "糖尿病治療研究におけるQOL評価とメタアナリス" 内分泌・糖尿病科. 2. 8-15 (1996)

[Publications] 酒井弘憲: "高血圧薬剤治療における有害事象評価へのメタアナリシスの応用" 薬剤疫学. 1. 39-40 (1996)

[Publications] 折笠秀樹: "統計数字のトリック" ファルマシア. 32. 531-533 (1996)

[Publications] M. Owa: "Predictive validity of the Braunwald classification of unstable angina for angiographic findings, short-term progroses, and…" Angiology. (印刷中).

[Publications] 折笠秀樹: "糖尿病の臨床疫学" DITN. 221. 2-3 (1996)

[Publications] M. Otani: "Use of the Weibull hazard model to estimate age-specific probability of permanent tooth loss" J. of Dental Research. 75. 1453-1463 (1996)

[Publications] H. Watanabe: "Influence of Paternal Cf252 Neutron exposure on abnormal sperm, embryonal lethality and liver tumorigenesis in the F1" Japanese J. of Cancer Research. 87. 51-57 (1996)

[Publications] A. Taguchi: "Usefulness of panoramic radiography in the diagnosis of post menopausal osteoporosis in women, Width and…" Dentomaxillofac Radiology. 25. 263-267 (1996)

[Publications] Y. Fujikoshi: "Statistical inference in growth curve model with hierachical within-individuals design matrics" Contenporary Multivariate Analysis and Its Applications. (印刷中).

[Publications] H. Wanatabe: "Strain differences in Conference in the induction" Japanese Journal Cancer Research. (印刷中).

[Publications] 宮原英夫: "混合性結合組織癌(MCTD)のクラスター分析" 行動計量学. 23. 63-82 (1996)

[Publications] 浅井憲義: "健常男性の総合的性機能指標と性機能等価年齢" 行動計量学. (印刷中).

[Publications] 土沢健一: "入学時のMMPI尺度得点とそれによる留年予測の困難性" 行動計量学. (印刷中).

[Publications] T. Caliuski: "Design and Analysis of Experiments" North-Holland, Amsterdam, 1229(66) (1996)

[Publications] 折笠秀樹: "今日の疫学(メタアナリシス)" 医学書院, 240-250 (1996)

景山三平広島大学, 学校教育学部, 教授 (70033892)