A study for the conservative multivariate multple comparison procedures among mean vectors

• Project/Area Number: 21700311
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Statistical science
• Research Institution: Tokyo University of Science
• Principal Investigator: NISHIYAMA Takahiro 東京理科大学, 理学部, 助教 (30516472)
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000); Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: 統計数学 / 同時信頼区間 / 多重比較 / 漸近展開

Research Abstract

In this study, we discussed the multivariate multiple comparison procedures which construct the conservative simultaneous confidence intervals concerning the mean vector. In particular, we discussed following 3 topics and we derive some results;
1.multiple comparison among components of mean vector under elliptical populations
2.multivariate multiple comparison among mean vectors under normal population
3.multivariate multiple comparison among mean vectors for high-dimensional data.

Research Products

• [Journal Article] Multiple comparisons among mean vectors when the dimension is larger than the total sample size (2012)
  • Author(s): Masashi Hyodo, Sho Takahashi and Takahiro Nishiyama
  • Journal Title: Technical Report, Statistical Research Group Pages: 12-1
• [Journal Article] Multiple comparisons among mean vectors when the dimension is larger than the total sample size (2012)
  • Author(s): Masashi Hyodo, Sho Takahashi, Takahiro Nishiyama
  • Journal Title: Technical Report, Statistical Research Grourp, Hiroshima University Volume: 12-01(電子媒体)
• [Journal Article] Testing independence by step-wise multiple comparison procedure (2011)
  • Author(s): Sho Takahashi, Takahiro Nishiyama and Takashi Seo
  • Journal Title: Technical Report, Statistical Research Group Pages: 11-1
• [Journal Article] Pairwise comparisons among components of mean vector in elliptical distributions (2011)
  • Author(s): Sho Takahashi, Takahiro Nishiyama and Takashi Seo
  • Journal Title: Technical Report, Statistical Research Group Pages: 11-7
• [Journal Article] Pairwise comparisons among components of mean vector in elliptical distributions (2011)
  • Author(s): Sho Takahashi, Takahiro Nishiyama, Takashi Seo
  • Journal Title: Technical Report, Statistical Research Grourp, Hiroshima University Volume: 11-07(電子媒体)
• [Journal Article] Testing independence by step-wise multiple comparison procedure (2011)
  • Author(s): Sho Takahashi, Takahiro Nishiyama, Takashi Seo
  • Journal Title: Technical Report, Statistical Research Group, Hiroshima University Volume: 11-01(電子媒体)
• [Journal Article] Approximation to the upper percentiles of the statistic for pairwise comparison among components of mean vector in elliptical distributions (2010)
  • Author(s): Sho Takahashi, Takahiro Nishiyama and Takashi Seo
  • Journal Title: Technical Report, Statistical Research Group Pages: 10-6
• [Journal Article] On the conservative multivariate multiple comparison procedure of correlated mean vectors with a control (2010)
  • Author(s): Takahiro Nishiyama
  • Journal Title: Technical Report, Statistical Research Group Pages: 10-10
• [Journal Article] On the conservative multivariate multiple comparison procedure of correlated mean vectors with a control (2010)
  • Author(s): Takahiro Nishiyama
  • Journal Title: Technical Report, Statistical Research Group, Hiroshima University Volume: 10-10(電子媒体)
• [Journal Article] Approximation to the upper percentiles of the statistic for pairwise comparison among components of mean vector in elliptical distributions (2010)
  • Author(s): Sho Takahashi, Takahiro Nishi-yama, Takashi Seo
  • Journal Title: Technical Report, Statistical Research Group, Hiroshima University 10-6
• [Presentation] Testing equality of mean vectors for highdimension data with unequal covariance matrices (2012)
  • Author(s): 西山貴弘, 兵頭昌, 瀬尾隆
  • Organizer: 日本数学会
  • Place of Presentation: 東京理科大大学
  • Year and Date: 2012-03-28
• [Presentation] Testing equality of mean vectors for high-dimension data with unequal covariance matrices (2012)
  • Author(s): 西山貴弘, 兵頭昌, 瀬尾隆
  • Organizer: 日本数学会年会
  • Place of Presentation: 東京理科大学
  • Year and Date: 2012-03-28
• [Presentation] 高次元データに対する平均ベクトル間の多変量多重比較法 (2012)
  • Author(s): 高橋翔, 兵頭昌, 西山貴弘
  • Organizer: 第6回日本統計学会春季集会
  • Place of Presentation: 一橋大学
  • Year and Date: 2012-03-04
• [Presentation] Testing equality of mean vectors for the case of high-dimension and unequal covariance matrices (2012)
  • Author(s): 西山貴弘, 兵頭昌, 瀬尾隆
  • Organizer: 科研費シンポジウム「高次元データの推測理論の開発と応用」
  • Place of Presentation: 駿河台記念館
  • Year and Date: 2012-01-29
• [Presentation] Multiple comparisons among mean vectors when the dimension is larger than the total sample size (2011)
  • Author(s): Sho Takahashi, Masashi Hyodo and Takahiro Nishiyama
  • Organizer: Joint meeting of the Korea-Japan conference of computational statistics and the 25th symposium of Japanese society of computational statistics
  • Place of Presentation: Haeundae Grand Hotel, Busan, South Korea
  • Year and Date: 2011-11-12
• [Presentation] Two sample problem for high-dimensional data with unequal covariance matrices (2011)
  • Author(s): Takahiro Nishiyama and Masashi Hyodo
  • Organizer: Joint meeting of the Korea-Japan conference of computational statistics and the 25th symposium of Japanese society of computational statistics
  • Place of Presentation: Haeundae Grand Hotel, Busan, South Korea
  • Year and Date: 2011-11-12
• [Presentation] 平均ベクトルに関する多重比較法について (2011)
  • Author(s): 西山貴弘
  • Organizer: 日本数学会特別講演
  • Place of Presentation: 信州大学
  • Year and Date: 2011-09-30
• [Presentation] 平均ベクトルに関する多重比較法について (2011)
  • Author(s): 西山貴弘
  • Organizer: 日本数学会秋季総合分科会特別講演
  • Place of Presentation: 信州大学(招待講演)
  • Year and Date: 2011-09-30
• [Presentation] 高次元データにおける平均ベクトル間の対比較に対する同時信頼区間 (2011)
  • Author(s): 高橋翔, 兵頭昌, 西山貴弘
  • Organizer: 計関連学会連合大会
  • Place of Presentation: 九州大学
  • Year and Date: 2011-09-05
• [Presentation] 高次元データにおける平均ベクトル間の対比較に対する同時信頼区間 (2011)
  • Author(s): 高橋翔, 兵頭昌, 西山貴弘
  • Organizer: 統計関連学会連合大会
  • Place of Presentation: 九州大学
  • Year and Date: 2011-09-05
• [Presentation] Multiple comparisons among components of mean vector under an elliptical population (2011)
  • Author(s): Sho Takahashi, Takahiro Nishiyama and Takashi Seo
  • Organizer: International Conference on Multiple Comparison Procedures
  • Place of Presentation: Hilton Hotel, Washington D. C., USA
  • Year and Date: 2011-08-31
• [Presentation] Conservative simultaneous confidence intervals for multiple comparisons of correlated mean vectors with a control (2011)
  • Author(s): Takahiro Nishiyama
  • Organizer: International Conference on Multiple Comparison Procedures
  • Place of Presentation: Hilton Hotel, Washington D. C., USA
  • Year and Date: 2011-08-31
• [Presentation] Multiple comparisons among components of mean vector under an elliptical population (2011)
  • Author(s): Sho Takahashi, Takahiro Nishiyama, Takashi Seo
  • Organizer: International Conference on Multiple Comparison Procedures
  • Place of Presentation: Hilton Hotel, Washington D.C., USA
  • Year and Date: 2011-08-31
• [Presentation] Conservative simultaneous confidence intervals for multiple comparisons of correlated mean vectors with a control (2011)
  • Author(s): Takahiro Nishiyama
  • Organizer: International Conference on Multiple Comparison Procedures
  • Place of Presentation: Hilton Hotel, Washington D.C., USA
  • Year and Date: 2011-08-31
• [Presentation] ステップワイズ法による確率ベクトルの成分間の独立性の同時検定 (2010)
  • Author(s): 高橋翔, 西山貴弘, 瀬尾隆, 今田恒久
  • Organizer: 科研費シンポジウム「統計的推測方法の理論的展開とその応用」
  • Place of Presentation: 熊本大学
  • Year and Date: 2010-11-18
• [Presentation] 平均ベクトル間の多重比較法に対する同時信頼区間とその保守性 (2010)
  • Author(s): 西山貴弘, 瀬尾隆
  • Organizer: 科研費シンポジウム「統計的推測方法の理論的展開とその応用」
  • Place of Presentation: 熊本大学
  • Year and Date: 2010-11-18
• [Presentation] On the conservative multivariate multiple comparison procedure of five mean vectors with a control (2010)
  • Author(s): 西山貴弘, 瀬尾隆
  • Organizer: 日本数学会
  • Place of Presentation: 名古屋大学
  • Year and Date: 2010-09-25
• [Presentation] ステップダウン式多重比較法による独立性の検定 (2010)
  • Author(s): 高橋翔, 西山貴弘, 瀬尾隆, 今田恒久
  • Organizer: 計関連学会連合大会
  • Place of Presentation: 早稲田大学
  • Year and Date: 2010-09-07
• [Presentation] ステップダウン式多重比較法による独立性の検定 (2010)
  • Author(s): 高橋翔, 西山貴弘, 瀬尾隆, 今田恒久
  • Organizer: 統計関連学会連合大会
  • Place of Presentation: 早稲田大学
  • Year and Date: 2010-09-07
• [Presentation] On the conservative simultaneous confidence procedures for multiple comparisons among components of the mean vector (2010)
  • Author(s): Takahiro Nishiyama
  • Organizer: The 7th Conference on Multivariate Distributions with Applications
  • Place of Presentation: Maresias Beach Hotel, Maresias, Brazil
  • Year and Date: 2010-08-12
• [Presentation] On the conservative simultaneous confidence procedures for multiple comparisons among components of the mean vector (2010)
  • Author(s): Takahiro Nishiyama
  • Organizer: The 7^<th> Conference on Multivariate Distributions with Applications
  • Place of Presentation: Maresias Beach Hotel, Maresias, Brazil
  • Year and Date: 2010-08-12
• [Presentation] Testing independence by step-down multiple comparison procedure (2010)
  • Author(s): Sho Takahashi, Takahiro Nishiyama, Takashi Seo and Tsunehisa Imada
  • Organizer: International Conference on Trends and Perspectives in Linear Statistical Inference
  • Place of Presentation: Polytechnic Institute of Tomar, Tomar, Portugal
  • Year and Date: 2010-07-30
• [Presentation] 楕円母集団における平均ベクトルの成分間の多重比較について (2010)
  • Author(s): 高橋翔, 西山貴弘, 瀬尾隆
  • Organizer: 科研費シンポジウム「研究開発における多重決定方式の活用」
  • Place of Presentation: 大阪大学
  • Year and Date: 2010-03-23
• [Presentation] 楕円母集団における平均ベクトルの成分間の多重比較について (2010)
  • Author(s): 高橋翔, 西山貴弘, 瀬尾隆
  • Organizer: 科研費シンポジウム「研究開発における多重決定方式の活用」
  • Place of Presentation: 大阪大学(大阪府)
  • Year and Date: 2010-03-23
• [Presentation] Approximation to the upper percentiles of the statistic for pairwise comparison among components of mean vector in elliptical distributions (2009)
  • Author(s): 高橋翔, 西山貴弘, 瀬尾隆
  • Organizer: 統計関連学会連合大会
  • Place of Presentation: 同志社大学
  • Year and Date: 2009-09-07
• [Presentation] Approximation to the upper percenties of the statistic for pairwise comparison among components of mean vector in elliptical distributions (2009)
  • Author(s): 高橋翔, 西山貴弘, 瀬尾隆
  • Organizer: 統計関連学会連合大会
  • Place of Presentation: 同志社大学(京都府)
  • Year and Date: 2009-09-07
• [Remarks]
  • URL: http://www.sut.ac.jp/fac_grad/p/achievement.php?A16512
• [Remarks]
  • URL: http://www.sut.ac.jp/fac_grad/p/achievement.php?A16512