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Diagnostics in Statistical Methods for Multivariate Data including Longitudinal and Spatial Data

Research Project

Project/Area Number 10680316
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionOKAYAMA UNIVERSITY

Principal Investigator

TANAKA Yutaka  Okayama University, Dept.of Environmental & Mathematical Sciences, Professor, 環境理工学部, 教授 (20127567)

Co-Investigator(Kenkyū-buntansha) KURIHARA Koji  Okayama University, Dept.of Environmental & Mathematical Sciences, Associate Professor, 環境理工学部, 助教授 (20170087)
TARUMI Tomoyuki  Okayama University, Dept.of Environmental & Mathematical Sciences, Professor, 環境理工学部, 教授 (50033915)
OTAKE Masanori  Okayama University, Dept.of Environmental & Mathematical Sciences, Professor, 環境理工学部, 教授 (40284088)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1998: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsSensitivity analysis / Influential observations / Local influence / Influential subset / Influence function / Diagnostics / 正準相関分析 / influence analysis / sensitivity analysis / local influence / influence function / principal component analysis / multiple-case diagnostics / canonical correlation analysis
Research Abstract

Relationship between the two approaches to sensitivity analysis (SA) in multivariate methods, one based on influence functions and the other based on the Cook's local influence, 2) Methodologies of detecting influential subsets of observations, 3) SA in spatial data analysis, 4) SA in functional data analysis, and 5) Development of unified statistical software of SA in various multivariate methods. For the first topic we proved the equivalence of both approaches in each of the four cases defined by (a) whether the statistical model contains any equality constraints and (b) whether we are interested in all parameters or a subset of parameters, and on the basis of the equivalence, we proposed methods of local influence analysis in principal component analysis and canonical component analysis, and also studied a general methodology for detecting influential subsets of observations ([2], [3], [5], [7], [15], [16], [19], [23], TR [1], TR,[2] ; [12], [20]). In the third topic we have developed SA in the three stages of spatial data analysis, i.e., sample variogram, variogram model estimation, and spatial prediction ([6], [8], [10], [11], [18], [24]). In functional data analysis we studied SA in functional PCA([17], [22]). For the fifth topic see [1], [13].

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (59 results)

All Other

All Publications (59 results)

  • [Publications] Mori,Y.: "Development of statistical software SAMMIF for sensitivity analysis in multivariate methods"COMPSTAT 98. 395-400 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 森裕一: "感度分析プログラムSAMMIF"計算機統計学会誌. Vol.10. 145-153 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 張方紅: "等式制約を含む統計モデルにおける局所影響の評価"岡山大学環境理工学部研究報告. Vol.4. 19-25 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi,S.B.: "Analysis of non-stationary data : a study on the performance of universal kriging, median-polish kriging and loess"岡山大学環境理工学部研究報告. Vol.4. 37-55 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tanaka,Y.: "R-mode and Q-mode influence analyses in statistical modelling"Computational Statistics & Data Analysis. Vol.32. 197-218 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi,S.B.: "Influence functions in semivariogram estimation : a comparative study"岡山大学環境理工学部研究報告. Vol.5. 57-75 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi,S.B.: "Sensitivity analysis in auto-and cross-variogram estimation"Journal of the Korean Data Analysis Society. Vol.2. 91-101 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi,S.B.: "Sensitivity analysis in variogram estimation : Detecting the observations influential to Cressie and Hawkins (1980)'s robust variogram"J.Korean Data Analysis Soc.. Vol.2. 359-366 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yamanishi,Y.: "Principal component analysis for functional data"J.Faculty of Environ-mental Science and Technology. Vol.6. 25-34 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi,S.B.: "Sensitivity analysis in spatial statistics : Detecting influential observations in spatial prediction"To appear in J.Jpn.Soc.Comp.Statist.. (印刷中). (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tanaka, Y., Zhang, F., and Mori, Y.: "Influence in principal component analysis revisited"3^<rd> Conference on Statistical Computing of the Asian Regional Section of IASC. 319-330 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mateo, Z., Tanaka, Y.and Odaka, Y.: "Assessment of influence and variable selection method in factor analysis regression"3^<rd> Conference on Statistical Computing of the Asian Regional Section of IASC. 117-127 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mori, Y., Tarumi, T.and Tanaka, Y.: "Principal component analysis based on a subset of variables : Numerical investigation on variable selection procedures"Bulletin of the Computaional Statistics of Japan. 11, (in Japanese). 1-12 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Zhang, F., Mori, Y.and Tanaka, Y.: "Assessment of local influence in statistical modelling with equality constraints."J.Faculty of Environmental Science & Technology. Vol.4(in Japanese). 19-35 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi, S.B.and Tanaka, Y.: "Analysis of non-stationary data : A study on the performance of universal kriging, median polish kriging and loess"J.Faculty of Environmental Science & Technology. Vol.4. 37-55

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tanaka, Y.and Zhang, F.: "R-mode and Q-mode influence analyses in statistical modelling : Relationship between influence function approach and local influence approach"Computational Statistics & Data Analysis. 32. 197-218

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi, S.B., Lee, S.H., Mori, Y.and Tanaka, Y.: "Sensitivity analysis in spatial prediction"Proc.52^<nd> Session of ISI, Contributed Papers. Book 1. 257-258 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mori, Y., Iizuka, M., Tarumi, T.and Tanaka, Y.: "Variable selection in "principal component analysis based on a subset of variables""Proc.52^<nd> Session of ISI, Contributed Papers. Book 2. 333-334 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi, S.B., Kim, K.K.and Tanaka, Y.: "Sensitivity analysis in auto- and cross-variogram estimation."J.Korean Data Analysis Soc.. Vol.2. 91-101 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi, S.B.and Tanaka, Y.: "Influence functions in semivariogram estimation : A comparative study"J.Faculty of Environmental Science & Technology. Vol.4. 57-75 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tanaka, Y., Watadani, S.and Yamanishi, Y.: "On multiple-case diagnostics in multivariate methods"Proceedings of International Conference on Measurement and Multivariate Analysis. 143-146 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mori, Y., Watadani, S., Yamamoto, Y., Tarumi, T.and Tanaka, Y.: "Statistical software SAMMIF for sensitivity analysis in multivariate methods"Proceedings of International Conference on Measurement and Multivariate Analysis. 147-151 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mori, Y., Iizuka, M., Tarumi, T.and Tanaka, Y.: "Statistical software "VASPCA" for variable selection in principal component analysis based on a subset of variables"COMPSTAT 2000 Proceedings in Computational Statistics (Short Communications). 73-4 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Zhang, F., Lee, S.H., Ishikawa, K.and Tanaka, Y.: "Local influence analysis using SAS/IML : Influence in PCA of correlation matrix"Proc.19^<th> Conference of SUGI-J. (in Japanese). 261-268 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Zhang, F., Ishikawa, K.and Tanaka, Y.: "Local influence in principal component analysis of correlation matrix"Proc.7^<th> Japan-China Symposium on Statistics. 345-348 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yamanishi, Y.and Tanaka, Y.: "Sensitivity analysis in functional principal component analysis"Proc.7^<th> Japan-China Symposium on Statistics. 37-40 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi, S.B., Kang, L.J & Tanaka, Y.: "Sensitivity analysis in variogram estimation : Detecting the observations influential to Cressie and Hawkins (1980)'s robust variogram"J.Korean Data Analysis Soc.. Vol.2. 359-366 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Moon, S.H., Shin, J.K., Kim, H.J.and Tanaka, Y.: "A note on local influence in ridge regression"Proc.10^<th> Japan and Korea Joint Conference of Statistics. 147-150 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yang, W.S.and Tanaka, Y.: "Some modified principal component analysis and their applications"Proc.10^<th> Japan and Korea Joint Conference of Statistics. 153-156 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mori, Y., Iizuka, M., Tarumi, T.and Tanaka, Y.: "Study of variable selection criteria in data analysis"Proc.10^<th> Japan and Korea Joint Conference of Statistics. 119-124 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yamanishi, Y.and Tanaka, Y.: "Principal component analysis for functional data"J.Faculty of Environmental Science & Technology. Vol.6. 25-34 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tanaka, Y.and Zhang, F.: "Diagnostics in multivariate data analysis : Sensitivity analysis for principal components and canonical correlations"Invited paper in the Annual Conference of German Classification Society. Program & Abstracts, 42. (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Choi, S.B.and Tanaka, Y.: "Sensitivity analysis in spatial statistics : Detecting influential observations in spatial prediction"J.Jpn.Soc.Comp.Statist.. (To appear). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Zhang, F.and Tanaka, Y.: "A note on the assessment of local influence in statistical models with equality constraints"Technical Report Okayama Statistical Association. No.74. 1-8 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tanaka, Y.and Zhang, F.: "Diagnostics in multivariate data analysis : sensitivity analysis for principal components and canonical correlations."Technical Report Okayama Statistical Association. No.76. 1-6 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Mori, Y., Watadani, S., Tarumi, T.and Tanaka, Y.: "Development of statistical software SAMMIF for sensitivity analysis in multivariate methods, In "COMPSTAT 98"(Edited by R.Payne and P.Green)"Physica-Verlag. 395-400 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Tanaka,Y.: "On multiple-case diagnostics in multivariate methods"Proceedings of International Conference on Measurement and Multivariate Analysis. 143-146 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mori,Y.: "Statistical software SAMMIF for sensitivity analysis in multivariate Methods"Proceedings of International Conference on Measurement and Multivariate Analysis. 147-151 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mori,Y.: "Statistical software "VASPCA" for variable selection in principal component analysis based on a subset of variables"In "COMPSTAT 2000 Proceedings in Computational Statistics (Short Communications)". 73-74 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Zhang,F.H.: "Local influence in principal component analysis of correlation matrix"Proc.7th Japan-China Symposium on Statistics. 345-348 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yamanishi,Y.: "Sensitivity analysis in functional principal component analysis"Proc.7th Japan-China Symposium on Statistics. 37-40 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Choi,S.B.: "Sensitivity analysis spatial statistics : Detecting influential observations in spatial prediction"To appear in J.Jpn.Soc.Comp.Statist.. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Choi,S.B.: "Sensitivity analysis in variogram estimation : Detecting the observations influential to Cressie and Hawkins (1980)'s robust variogram"J.Korean Data Analysis Soc.. Vol.2. 359-366 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Moon,S.H.: "A note on local influence in ridge regression"Proc.10th Japan and Korea Joint Conference of Statistics. 147-150 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yang,W.S.: "Some modified principal component analysis and Their applications"Proc.10th Japan and Korea Joint Conference of Statistics. 153-156 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Mori,Y.: "Study of variable selection criteria in data analysis"Proc.10th Japan and Korea Joint Conference of Statistics. 119-124 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yamanishi,Y.: "Principal component analysis for functional data"J.Faculty of Environ-mental Science and Technology. Vol.6. 25-34 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 張 方紅: "等式制約を含む統計モデルにおける局所影響の評価"岡山大学環境理工学部研究報告. Vol.4. 19-25 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Choi, S. B.: "Analysis of non-stationary spatial data: a study on the performances of universal kriging, median-polish kriging and loss"岡山大学環境理工学部研究報告. Vol.4. 37-55 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Tanaka, Y.: "R-mode and Q-mode influence analyses in statistical modelling"Computational Statistics & Data Analysis. Vol.32. 197-218 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Choi, S. B.: "Sensitivity analysis in spatial prediction"Proceedings of the 52nd session of ISI'99. 257-258 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Choi, S. B.: "Influence functions in semivariogram estimation : a comparative study"岡山大学環境理工学部研究報告. Vol.5(印刷中). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Choi, S. B.: "Sensitivity analysis in auto- and cross- variogram estimation"Journal of the Korean Data Analysis Society. Vol.2(印刷中). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Mori,Y.: "Development of statistical software SAMMIF for sensitivity analysis in multivariate methods" COMPSTAT 98. 395-400 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 森裕一: "感度分析プログラムSAMMIF" 計算機統計学会誌. Vol.10 No.2. 145-153 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Tanaka,Y.: "Influence in principal component analysis revisited" 3^<rd> Conference on Statistical Computing of the Asian Regional Section of IASC. 319-330 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] Mateo,Z.: "Assesment of influence and variable selection method in factor analysis regression" 3^<rd> Conference on Statistical Computing of the Asian Regional Section of IASC. 117-127 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 張方紅: "等式制約を含む統計モデルにおける局所影響の評価" 岡山大学環境理工学部研究報告. Vol.4 印刷中. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] Choi,S.B.: "Analysis of non-stationary data : A study on the performance of universal kriging, median polish kriging and loess" 岡山大学環境理工学部研究報告. Vol.4 印刷中. (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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