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Information criterions based on quasi-likelihood with application to over-dispersion problems

Research Project

Project/Area Number 25330034
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionChiba University

Principal Investigator

Wang Jinfang  千葉大学, 大学院理学研究科, 教授 (10270414)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords一般化線形モデル / conditional independence / cain / quasi-likelihood / causal inference / Bayesian inference / coq/SSReflect / cell regression / universal algebra / diabetes / Big Math Data / Conditional Independence / Cain Algebra / 自動証明 / Coq/SSReflect / Causal Inference / Sensitivity / Specificity / sensitivity / specificity / cain algebra / coq / ssreflect / 一般化線型モデル / 過分散 / モデル選択 / 擬似尤度
Outline of Final Research Achievements

(1)We proposed some new model selection criterions for semi-parametric regression models. These models only use the assumptions on mean and variance functions instead of the full parametric assumptions as used in traditional generalized linear model. (2)We formalized the theory of cain (2010) using the interactive theorem-prover Coq/SSReflect. As a consequence, we formalized the theory on conditional independence based on cain. (3)We proposed a new Bayesian prediction method by combining some independent source data with the target detailed data. For the summary source data in the form of tables, we proposed cell regression methods based on integrated predictive probabilities.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (34 results)

All 2017 2016 2015 2014 2013 Other

All Journal Article (9 results) (of which Peer Reviewed: 4 results,  Open Access: 1 results,  Acknowledgement Compliant: 2 results) Presentation (23 results) (of which Int'l Joint Research: 5 results,  Invited: 7 results) Book (1 results) Remarks (1 results)

  • [Journal Article] Statistical Inference for Non-inferiority of Difference in Proportions of Clustered Matched-pair Data from Multiple Raters2017

    • Author(s)
      Saeki, H., Tango, T. and Wang, J.
    • Journal Title

      Journal of Biopharmaceutical Statistics

      Volume: 27 Issue: 1 Pages: 70-38

    • DOI

      10.1080/10543406.2016.1148709

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Formalization of the Conditional Independence using Coq/SSReflect2017

    • Author(s)
      R. Yamaguchi, K. Kin, S. Shimoyama, M. Hagiwara, M. Yamamoto and J. Wang
    • Journal Title

      Technical Reports of Mathematical Sciences, Chiba University

      Volume: 29 Pages: 1-40

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Estimating the diagnostic accuracy from multiple raters based on a bivariate random effects model2016

    • Author(s)
      Saeki, H., Tango, T. and Wang, J.
    • Journal Title

      計量生物学

      Volume: 37 Pages: 23-44

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 変量効果モデルを用いた複数の読影者による画像診断法の精度の推定2014

    • Author(s)
      佐伯浩之, 丹後俊郎, 汪金芳
    • Journal Title

      数理解析研究所講究禄「Asymptotic Statistics and Its Related Topics」

      Volume: 1910 Pages: 1-19

    • Related Report
      2014 Research-status Report
  • [Journal Article] 擬似尤度に基づくモデル選択法と過分散データへの応用2014

    • Author(s)
      湯毅平, 汪金芳
    • Journal Title

      数理解析研究所講究禄「Asymptotic Statistics and Its Related Topics」

      Volume: 1910 Pages: 20-28

    • Related Report
      2014 Research-status Report
  • [Journal Article] Statistical Disclosure Control Using the Uncertainty Intervals and the Grouped Likelihood Method2014

    • Author(s)
      Jinfang Wang
    • Journal Title

      経済系

      Volume: 258 Pages: 37-47

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] 変量効果モデルを用いた複数の読影者による画像診断法の精度の推定2014

    • Author(s)
      佐伯浩之, 丹後俊郎, 汪金芳
    • Journal Title

      京都大学数理解析研究所講究録「Asymptotic Statistics and Its Related Topics」

      Volume: 未定

    • Related Report
      2013 Research-status Report
  • [Journal Article] 擬似尤度に基づくモデル選択法と過分散データへの応用2014

    • Author(s)
      湯毅平, 汪金芳
    • Journal Title

      京都大学数理解析研究所講究録「Asymptotic Statistics and Its Related Topics」

      Volume: 未定

    • Related Report
      2013 Research-status Report
  • [Journal Article] Model Selection for Semiparametric Bayesian Models with Application to Overdispersion2013

    • Author(s)
      Jinfang Wang and Yiping Tang
    • Journal Title

      Proceedings of the 59th ISI World Statistics Congress

      Volume: なし

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] On posterior predictive probabilities of diabetes based on comprehensive medical examination data2017

    • Author(s)
      Jinfang Wang
    • Organizer
      2017年度日本計量生物学会年会
    • Place of Presentation
      中央大学後楽園キャンパス(東京都・文京区)
    • Year and Date
      2017-03-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] Cell Regression and Reference Priors2017

    • Author(s)
      Jinfang Wang
    • Organizer
      科研費シンポジウム「統計的モデリングと計算アルゴリズムの数理と展開」
    • Place of Presentation
      名古屋大学 情報科学研究科(愛知県・名古屋市)
    • Year and Date
      2017-02-18
    • Related Report
      2016 Annual Research Report
  • [Presentation] Cell regression2016

    • Author(s)
      Jinfang Wang
    • Organizer
      数理統計ひこね2016
    • Place of Presentation
      滋賀大学彦根キャンパス(滋賀県・彦根市)
    • Year and Date
      2016-12-02
    • Related Report
      2016 Annual Research Report
  • [Presentation] Bayesian prediction based on profile-reference data2016

    • Author(s)
      Jinfang Wang
    • Organizer
      The 22nd International Conference on Computational Statistics
    • Place of Presentation
      Oviedo, Spain
    • Year and Date
      2016-08-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Cain algebra for probabilistic conditional independence2015

    • Author(s)
      Jinfang Wang
    • Organizer
      Workshop on Formalization of Applied Mathematical Systems
    • Place of Presentation
      University of Hawai`i, Manoa
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Formalization of cain using Coq/SSReflect2015

    • Author(s)
      Jinfang Wang
    • Organizer
      Workshop on Formalization of Applied Mathematical Systems
    • Place of Presentation
      University of Hawai`i, Manoa
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Formalization of probabilistic conditional independence using Coq/SSReflect2015

    • Author(s)
      Jinfang Wang
    • Organizer
      SIAM Conference on Applied Algebraic Geometry
    • Place of Presentation
      Deajeon, Korea
    • Year and Date
      2015-08-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Big Math Data: possibilities and challenges2015

    • Author(s)
      Jinfang Wang
    • Organizer
      Invited talk at The, Dept of Mathematical Sciences, KAIST
    • Place of Presentation
      Deajeon, Korea
    • Year and Date
      2015-08-05
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Nonparametric confidence intervals for sensitivity and specificity from multiple raters2015

    • Author(s)
      Hiroyuki Saeki, Toshiro Tango and Jinfang Wang
    • Organizer
      60th ISI World Statistics Congress
    • Place of Presentation
      Rio de Janeiro, Brazil
    • Year and Date
      2015-07-31
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Big Math Data2015

    • Author(s)
      Jinfang Wang
    • Organizer
      Invited talk at The Department of Statistics, Ewha Women's University
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2015-05-08
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Big Math Data: embracing the challenges from mathematical sciences2014

    • Author(s)
      Jinfang Wang
    • Organizer
      Kyoto International Conference on Modern Statistics in the 21st Century
    • Place of Presentation
      国立京都国際会館
    • Year and Date
      2014-11-17
    • Related Report
      2014 Research-status Report
  • [Presentation] Big Math Data: meeting the challenges of analyzing mathematical sciences2014

    • Author(s)
      萩原学, 久我健一, 松田茂樹, 桜井貴文, 汪 金芳, 山本光晴
    • Organizer
      科学研究費によるシンポジウム 「Workshop on Statistical Methods for Large Complex Data」
    • Place of Presentation
      筑波大学
    • Year and Date
      2014-11-11
    • Related Report
      2014 Research-status Report
  • [Presentation] Formalization of statistical conditional indenpendence relations using Coq/SSReflect2014

    • Author(s)
      汪金芳・萩原学・山本光晴
    • Organizer
      科学研究費によるシンポジウム 「多様な分野における統計科学の教育・理論・応用の新展開」
    • Place of Presentation
      新潟大学
    • Year and Date
      2014-10-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Interactive theorem proving of probabilistic conditional independence relations using Coq/SSReflect2014

    • Author(s)
      汪金芳, 萩原学, 山本光晴
    • Organizer
      2014年統計関連連合大会
    • Place of Presentation
      東京大学
    • Year and Date
      2014-09-14
    • Related Report
      2014 Research-status Report
  • [Presentation] Formalization of Probabalisitic Conditional Independence Using Coq/SSReflect2014

    • Author(s)
      Jinfang Wang
    • Organizer
      Symposium on Algebraic Structure in Graphical Models
    • Place of Presentation
      Korean Advanced Institute of Science and Technology, Korea
    • Year and Date
      2014-08-03 – 2014-08-07
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Estimating the accuracy of diagnostic imaging based on multiple raters using random effects model.2014

    • Author(s)
      Saeki, H., Tango, T. and Wang, J.
    • Organizer
      27th International Biometric Conference
    • Place of Presentation
      Florence, Italy
    • Year and Date
      2014-07-06 – 2014-07-11
    • Related Report
      2014 Research-status Report
  • [Presentation] Big Math Data2014

    • Author(s)
      Jinfang Wang
    • Organizer
      Invited Lecture
    • Place of Presentation
      Ewha Women's University, Seoul, Korea
    • Year and Date
      2014-05-08 – 2014-05-12
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 変量効果モデルを用いた複数の読影者による画像診断法の精度の推定2014

    • Author(s)
      佐伯浩之, 丹後俊郎, 汪金芳
    • Organizer
      京都大学数理解析研究所RIMS共同研究「Asymptotic Statistics and Its Related Topics」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Research-status Report
  • [Presentation] 擬似尤度に基づくモデル選択法と過分散データへの応用2014

    • Author(s)
      湯毅平, 汪金芳
    • Organizer
      京都大学数理解析研究所RIMS共同研究「Asymptotic Statistics and Its Related Topics」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Research-status Report
  • [Presentation] 複数の読影者による対応のあるクラスターデータの割合の差の信頼区間2013

    • Author(s)
      佐伯浩之, 丹後俊郎、汪金芳
    • Organizer
      2013年度統計関連学会連合大会
    • Place of Presentation
      大阪大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 変量効果モデルを用いた複数の読影者による画像診断法の精度の推定2013

    • Author(s)
      佐伯浩之, 丹後俊郎,汪金芳
    • Organizer
      科学研究費シンポジウム「一般化線形モデルの最新の展開とその周辺」
    • Place of Presentation
      千葉大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Information criterion based on quasi-likelihood with application to over-dispersed data2013

    • Author(s)
      湯毅平, 汪金芳
    • Organizer
      科学研究費シンポジウム「一般化線形モデルの最新の展開とその周辺」
    • Place of Presentation
      千葉大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Model Selection for Semiparametric Bayesian Models with Application to Overdispersion2013

    • Author(s)
      Jinfang Wang and Yiping Tang
    • Organizer
      The 59th ISI World Statistics Congress
    • Place of Presentation
      Hong Kong
    • Related Report
      2013 Research-status Report
  • [Book] 一般化線形モデル (統計解析スタンダード)2016

    • Author(s)
      汪 金芳
    • Total Pages
      212
    • Publisher
      朝倉書店
    • Related Report
      2016 Annual Research Report
  • [Remarks] SSReflect4Cain

    • URL

      https://sites.google.com/site/ssreflect4cain/

    • Related Report
      2015 Research-status Report 2014 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2019-07-29  

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