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2013 Fiscal Year Final Research Report

Applications of asymptotic theory to data analysis in behaviormetrics with discrete and continuous variables

Research Project

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Project/Area Number 23500341
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionOtaru University of Commerce

Principal Investigator

OGASAWARA Haruhiko  小樽商科大学, 商学部, 教授 (70271731)

Project Period (FY) 2011 – 2013
Keywords行動計量分析 / 漸近展開 / キュミュラント / 信頼区間 / エッジワース展開 / 信頼区間
Research Abstract

For statistical testing and interval estimation of unknown quantities like population parameters, the distributions of their associated statistics are required. However, their accurate values are often unavailable. On the other hand, using statistical asymptotic theory, their approximation can be obtained. In this study, asymptotic expansions of the distributions of the statistics are derived for dada analysis in behaviormetrics using discrete and continuous variables.

  • Research Products

    (36 results)

All 2013 2012 2011 Other

All Journal Article (10 results) (of which Peer Reviewed: 10 results) Presentation (22 results) (of which Invited: 1 results) Book (2 results) Remarks (2 results)

  • [Journal Article] Estimation of ability with reduced asymptotic mean square error in item response theory2013

    • Author(s)
      Ogasawara, H
    • Journal Title

      Journal of The Japan Statistical Society

      Volume: 43(2) Pages: 187-202

    • Peer Reviewed
  • [Journal Article] Asymptotic properties of the Bayes modal estimators of item parameters in item response theory2013

    • Author(s)
      Ogasawara, H
    • Journal Title

      Computational Statistics

      Volume: 28(6) Pages: 2559-2583

    • Peer Reviewed
  • [Journal Article] Asymptotic cumulants of the estimator of the canonical parameter in the exponential family2013

    • Author(s)
      Ogasawara, H
    • Journal Title

      Journal of Statistical Planning and Inference

      Volume: 143(12) Pages: 2142-2150

    • Peer Reviewed
  • [Journal Article] Asymptotic cumulants of ability estimators using fallible item parameters2013

    • Author(s)
      Ogasawara, H
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 119 Pages: 144-162

    • Peer Reviewed
  • [Journal Article] Asymptotic properties of the Bayes and pseudo Bayes estimators of ability in item response theory2013

    • Author(s)
      Ogasawara, H
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 114 Pages: 359-377

    • Peer Reviewed
  • [Journal Article] Asymptotic expansions for the ability estimator in item response theory2012

    • Author(s)
      Ogasawara, H
    • Journal Title

      Computational Statistics

      Volume: 27(4) Pages: 661-683

    • Peer Reviewed
  • [Journal Article] Asymptotic cumulants of functions of multinomial sample proportions with adjustment for empty cells2012

    • Author(s)
      Ogasawara, H
    • Journal Title

      Behaviormetrika

      Volume: 39(2) Pages: 211-241

    • Peer Reviewed
  • [Journal Article] Cornish-Fisher expansions using sample cumulants and monotonic transformations2012

    • Author(s)
      Ogasawara, H
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 103(1) Pages: 1-18

    • Peer Reviewed
  • [Journal Article] Asymptotic expansions of the distributions of the polyserial correlation coefficients2011

    • Author(s)
      Ogasawara, H
    • Journal Title

      Behaviormetrika

      Volume: 38(2) Pages: 153-168

    • Peer Reviewed
  • [Journal Article] Asymptotic expansions in multi-group analysis of moment structures with an application to linearized estimators2011

    • Author(s)
      Ogasawara, H
    • Journal Title

      Communications in Statistics - Theory and Methods

      Volume: 40(9) Pages: 1701-1716

    • Peer Reviewed
  • [Presentation] Bias adjustment for minimization of the asymptotic mean square error2013

    • Author(s)
      Ogasawara, H
    • Organizer
      Conference on Role of Statistics in the Advancement of Science and Technology on the Occasion of Diamond Jubilee Year of the Department of Statistics & The International Year of Statistics
    • Place of Presentation
      Pune University, Pune, India
    • Year and Date
      2013-12-17
  • [Presentation] Bias adjustment minimizing the asymptotic mean square error2013

    • Author(s)
      Ogasawara, H
    • Organizer
      Ishigaki International Conference on Modern Statistics Theories, Practices, and Education in the 21st Century
    • Place of Presentation
      Ishigaki, Japan
    • Year and Date
      2013-11-09
  • [Presentation] IRTにおける能力の最尤およびベイズ推定量の漸近的性質2013

    • Author(s)
      小笠原春彦
    • Organizer
      日本心理学会第77回大会
    • Place of Presentation
      札幌コンベンションセンター・札幌市産業振興センター
    • Year and Date
      2013-09-19
  • [Presentation] 漸近平均2乗誤差を最小化するバイアス調整2013

    • Author(s)
      小笠原春彦
    • Organizer
      2013年度統計関連学会連合大会
    • Place of Presentation
      大阪大学豊中キャンパス
    • Year and Date
      2013-09-11
  • [Presentation] 項目反応理論における能力のベイズおよび擬似ベイズ推定量の漸近的性質2013

    • Author(s)
      小笠原春彦
    • Organizer
      日本行動計量学会第41回大会
    • Place of Presentation
      東邦大学習志野キャンパス
    • Year and Date
      2013-09-05
  • [Presentation] Monotonic transformations for asymptotic expansions2013

    • Author(s)
      Ogasawara, H
    • Organizer
      Joint Meeting of the IASC Satellite Conference for the 59th ISI WSC and the 8th Conference of the Asian Regional Section of the IASC
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      2013-08-22
  • [Presentation] Bias adjustment minimizing the asymptotic mean square error2013

    • Author(s)
      Ogasawara, H
    • Organizer
      The 22nd International Workshop on Matrices and Statistics
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      2013-08-14
  • [Presentation] Asymptotic expansions with monotonicity2013

    • Author(s)
      Ogasawara, H
    • Organizer
      The 29th European Meeting of Statisticians
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2013-07-25
  • [Presentation] Monotonic transformations for the Cornish-Fisher expansion2012

    • Author(s)
      Ogasawara, H
    • Organizer
      Eighth International Triennial Calcutta Symposium on Probability and Statistics
    • Place of Presentation
      Calcutta, India
    • Year and Date
      2012-12-27
  • [Presentation] 度数0の調整を伴う標本割合の関数の漸近キュミュラント2012

    • Author(s)
      小笠原春彦
    • Organizer
      日本行動計量学会第40回大会
    • Place of Presentation
      新潟県立大学
    • Year and Date
      2012-09-15
  • [Presentation] IRTにおける能力の最尤推定量の漸近キュミュラント2012

    • Author(s)
      小笠原春彦
    • Organizer
      日本心理学会第76回大会
    • Place of Presentation
      専修大学生田キャンパス
    • Year and Date
      2012-09-11
  • [Presentation] 標本キュミュラントと単調変換を用いたコーニッシュ-フィッシャー展開2012

    • Author(s)
      小笠原春彦
    • Organizer
      2012年度統計関連学会連合大会
    • Place of Presentation
      北海道大学高等教育機能開発センター(札幌市)
    • Year and Date
      2012-09-10
  • [Presentation] Asymptotic expansions for the ability estimator in item response theory2012

    • Author(s)
      Ogasawara, H
    • Organizer
      The 20th International Conference on Computational Statistics (COMPSTAT 2012)
    • Place of Presentation
      Limassol, Cyprus
    • Year and Date
      2012-08-28
  • [Presentation] Asymptotic expansions for the pivots using log-likelihood derivatives with an application in item response theory2012

    • Author(s)
      Ogasawara, H
    • Organizer
      Joint Statistical Meetings (JSM2012)
    • Place of Presentation
      San Diego, USA
    • Year and Date
      2012-07-31
  • [Presentation] Asymptotic cumulants of functions of multinomial sample proportions with adjustment for empty cells2012

    • Author(s)
      Ogasawara, H
    • Organizer
      The 8th World Congress in Probability and Statistics
    • Place of Presentation
      Istanbul, Turkey
    • Year and Date
      2012-07-10
  • [Presentation] Monotonic transformations using sample cumulants in asymptotic expansions2011

    • Author(s)
      Ogasawara, H
    • Organizer
      An International Conference : Statistical Concepts and Methods for the Modern World
    • Place of Presentation
      Colombo, Sri Lanka
    • Year and Date
      2011-12-29
  • [Presentation] Asymptotic expansions of the distributions of the polyserial correlation coefficients2011

    • Author(s)
      Ogasawara, H
    • Organizer
      Joint Meeting of The 2011 Taipei International Statistical Symposium and 7th Conference of the Asian Regional Section of the IASC (International Association for Statistical Computing)
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      2011-12-17
  • [Presentation] 多列相関係数の分布の漸近展開2011

    • Author(s)
      小笠原春彦
    • Organizer
      日本心理学会第75回大会
    • Place of Presentation
      日本大学文理学部
    • Year and Date
      2011-09-15
  • [Presentation] 四分相関係数の分布に関する漸近展開2011

    • Author(s)
      小笠原春彦
    • Organizer
      日本行動計量学会第39回大会
    • Place of Presentation
      岡山理科大学
    • Year and Date
      2011-09-13
  • [Presentation] 対数尤度導関数によるピボットの漸近展開と項目反応理論への応用2011

    • Author(s)
      小笠原春彦
    • Organizer
      2011年度統計関連学会連合大会
    • Place of Presentation
      九州大学伊都キャンパス
    • Year and Date
      2011-09-05
  • [Presentation] Applications of asymptotic expansion in structural equation modeling : Mean and covariance structure analysis2011

    • Author(s)
      Ogasawara, H
    • Organizer
      Paper presented in the invited symposium : Aspects of structural equation modeling organized by H. Ogasawara at The 17th International Meeting of the Psychometric Society
    • Place of Presentation
      Hong Kong
    • Year and Date
      2011-07-21
    • Invited
  • [Presentation] Cornish-Fisher expansions using sample cumulants and monotonic transformations2011

    • Author(s)
      Ogasawara, H
    • Organizer
      The 9th Tartu Conference on Multivariate Statistics
    • Place of Presentation
      Tartu, Estonia
    • Year and Date
      2011-06-27
  • [Book] Asymptotic expansions of the distributions of the least squares estimators in factor analysis and structural equation modeling. In R. Chakraborty, C. R. Rao, & P. K. Sen (Eds.), Handbook of statistics : Vol.28. Bioinformatics in human health and heredity2012

    • Author(s)
      Ogasawara, H
    • Total Pages
      163-200
    • Publisher
      New York : Elsevier
  • [Book] Applications of asymptotic expansion in item response theory linking. In A. A. von Davier (Ed.), Statistical models of test equating, scaling, and linking2011

    • Author(s)
      Ogasawara, H
    • Total Pages
      261-280
    • Publisher
      New York : Springer
  • [Remarks] ホームページ等 研究代表者

    • URL

      http://www.res.otaru-uc.ac.jp/~hogasa/

  • [Remarks] 機関リポジトリ

    • URL

      http://barrel.ih.otaru-uc.ac.jp/

URL: 

Published: 2015-07-16  

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