2003 Fiscal Year Annual Research Report

釣合い型一部実施要因計画における推定可能母数関数の研究

Research Project

Project/Area Number	14580348
Research Institution	Hiroshima University
Principal Investigator	桑田正秀広島大学, 総合科学部, 教授 (10144891)
Co-Investigator(Kenkyū-buntansha)	兵頭義史岡山理科大学, 大学院・総合情報研究科, 教授 (90189811) 西井龍映広島大学, 総合科学部, 教授 (40127684) 景山三平広島大学, 大学院・教育学研究科, 教授 (70033892) 中原早生広島大学, 総合科学部, 助教授 (80115899)
Keywords	一部実施要因計画 / 推定可能母数関数 / 単純配列 / 分解能 / 最適基準 / 情報行列 / 行列方程式 / アソシエーション代数
Research Abstract	平成15年度の研究実施計画に添って研究実績の概要を述べる: ●計画の構築と解析:1.2^m-BFFDの場合:前年度に求めた実験総数が未知母数の数より小さいときの分解能R^({1}\|3)の計画について、分散分析と仮説検定を、ある代数の性質を用いて行った。その成果は、下記1編の論文である。 (1)Analysis of variance of balanced fractional 2^m factorial designs of resolution R^({1}\|3). Submitted.(日本数学会2004年度総合分科会(9月24日〜27日:於千葉大学)で口頭発表)2.2^<m_1+m_2>-PBFFDの場合:分解能R({00,10,01,20,02}\|Ω)とR({00,10,01,20,11}\|Ω)の計画を、実験総数が未知母数の数より小さいとき、行列方程式の解の存在条件に合う指標を用いて構築した。その成果は、下記1編の論文である。 (1)Partially balanced fractional 2^<m_1+m_2> factorial designs of resolutions R({00,10,01,20,02}\|Ω)and R({00,10,01,20,11}\|Ω).submitted.(科学研究費補助金・基盤研究(A)「実験計画法とその周辺における組合せ的構造の解明とその応用」(研究分担者:白倉暉弘、桑田正秀;平成15年12月4日〜6日)の研究集会と日本数学会2004年度年会(3月28日〜31日:於筑波大学)で口頭発表) ●最適基準作り:前年度に提案した要因効果間の別名係数を用いた各々3種類のGA-最適とGD-最適基準以外の基準は作れなかった。しかし、未だ改良の余地はあると思う。 ●最適計画:上記で求まった分解能R({00,10,01,20,02}\|Ω)とR({00,10,01,20,11}\|Ω)の2^<m_1+m_2>-PBFFDを、2≦m_1,m_2≦4の範囲で求めているが、未だ全ての計算は終わっていない。

Research Products
(12 results)

All Other

All Publications (12 results)

[Publications] S.Kageyama: "Issues and Problems concerning class organization based on the degree of student's attainment-Through questionnaire survey on teaching-(in Japanese)"Hiroshima Journal of School Education. 9. 33-40 (2003)
[Publications] S.Kageyama: "General view and perspective on statistics education in elementary schools-Focused on curriculum improvement of statistics education-(in Japanese)"Journal of Japan Society of Mathematical Education : Arithmetic Education. 85. 11-20 (2003)
[Publications] S.Pal: "A new class of efficiency balanced two-way elimination of heterogeneity designs useful in sericulture"Bull.Grad.School Educ.Hiroshima Univ., Part II. 52(to appear).
[Publications] R.Nishii: "A Markov random field-based approach to decision level fusion for remote sensing image classification"IEEE Transactions on Geoscience and Remote Sensing. 41(10). 2316-2319 (2003)
[Publications] 田中章司郎: "人口増加に伴う森林減少の空間モデル"応用統計学. 32(1). 1-15 (2003)
[Publications] R.Nishii: "Contextual Image Segmentation based on AdaBoost and Markov Random Fields"Proc.Internal.Geoscience & Remote Sensing Sympo.2003. VI. 3507-3509 (2003)
[Publications] M.Kuwada: "Characterization of balanced fractional 2^m factorial designs of resolution R^*({1}|3) and GA-optimal designs"J.Japan Statist.Soc.. 33(2). 181-201 (2003)
[Publications] M.Kuwada: "GA-optimal balanced fractional 2^m factorial designs of resolution R^*({0,1} |3)"Sankhya. (to appear).
[Publications] K.Sinha: "Some patterned constructions of rectangular designs"J.Japan Statist.Soc.. 33(2). 137-144 (2003)
[Publications] S.Rai: "Some constructions of nested balanced equireplicate block designs"Discussiones Mathematicae-Probability and Statistics. 23. 45-68 (2003)
[Publications] K.Sinha: "Some series of block designs with nested rows and columns"Australasian J.Combinatorics. (to appear).
[Publications] R.N.Mohan: "On the impact of characterization of symmetric balanced incomplete block designs on their complements"Bull.Grad.School Educ.Hiroshima Univ,. Part II. 52(to appear). (2003)

2003 Fiscal Year Annual Research Report

釣合い型一部実施要因計画における推定可能母数関数の研究

Principal Investigator

桑田 正秀 広島大学, 総合科学部, 教授 (10144891)

Research Products

[Publications] S.Kageyama: "Issues and Problems concerning class organization based on the degree of student's attainment-Through questionnaire survey on teaching-(in Japanese)"Hiroshima Journal of School Education. 9. 33-40 (2003)

[Publications] S.Kageyama: "General view and perspective on statistics education in elementary schools-Focused on curriculum improvement of statistics education-(in Japanese)"Journal of Japan Society of Mathematical Education : Arithmetic Education. 85. 11-20 (2003)

[Publications] S.Pal: "A new class of efficiency balanced two-way elimination of heterogeneity designs useful in sericulture"Bull.Grad.School Educ.Hiroshima Univ., Part II. 52(to appear).

[Publications] R.Nishii: "A Markov random field-based approach to decision level fusion for remote sensing image classification"IEEE Transactions on Geoscience and Remote Sensing. 41(10). 2316-2319 (2003)

[Publications] 田中章司郎: "人口増加に伴う森林減少の空間モデル"応用統計学. 32(1). 1-15 (2003)

[Publications] R.Nishii: "Contextual Image Segmentation based on AdaBoost and Markov Random Fields"Proc.Internal.Geoscience & Remote Sensing Sympo.2003. VI. 3507-3509 (2003)

[Publications] M.Kuwada: "Characterization of balanced fractional 2^m factorial designs of resolution R^*({1}|3) and GA-optimal designs"J.Japan Statist.Soc.. 33(2). 181-201 (2003)

[Publications] M.Kuwada: "GA-optimal balanced fractional 2^m factorial designs of resolution R^*({0,1} |3)"Sankhya. (to appear).

[Publications] K.Sinha: "Some patterned constructions of rectangular designs"J.Japan Statist.Soc.. 33(2). 137-144 (2003)

[Publications] S.Rai: "Some constructions of nested balanced equireplicate block designs"Discussiones Mathematicae-Probability and Statistics. 23. 45-68 (2003)

[Publications] K.Sinha: "Some series of block designs with nested rows and columns"Australasian J.Combinatorics. (to appear).

[Publications] R.N.Mohan: "On the impact of characterization of symmetric balanced incomplete block designs on their complements"Bull.Grad.School Educ.Hiroshima Univ,. Part II. 52(to appear). (2003)

桑田正秀広島大学, 総合科学部, 教授 (10144891)