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Computation of a joint distribution for scan statistics with temporal-spatial structures

Research Project

Project/Area Number 24500356
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

Kuriki Satoshi  統計数理研究所, 数理・推論研究系, 教授 (90195545)

Co-Investigator(Renkei-kenkyūsha) TAKAHASHI Kunihiko  名古屋大学, 大学院・医学系研究科, 准教授 (50323259)
HARA Hisayuki  同志社大学, 文化情報学部, 准教授 (40312988)
Project Period (FY) 2012-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords空間疫学 / 多重性調整 / マルコフ性 / コーダルグラフ / スキャン統計量 / 多重比較 / 脳画像データ / ガウス確率場 / ジャンクション木
Outline of Final Research Achievements

By extracting the Markov structure from a set of random variables with temporal and spatial structures, we have established a fast computation method to evaluate the multiplicity-adjusted p-value of temporal-spatial scan statistics. In addition, we applied the proposed method to spatial epidemiology. We demonstrated the usefulness of the proposed method by analyzing several data. The basic idea is (i) to describe the geographic information (adjacent relationship) by a non-directed graph, and (ii) to extract the Markov structure via the chordal extension of the graph, and (iii) to evaluate the multiplicity-adjusted p-value by successive numerical integrations based on the Markov property. On Saturday 29th October 2016, at the Institute of Statistical Mathematics (Tachikawa, Tokyo), we organized the workshop "New Horizons of Applied Statistics".

Report

(6 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (4 results)

All 2015 2014 Other

All Journal Article (1 results) (of which Open Access: 1 results) Presentation (3 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results)

  • [Journal Article] Recursive computation for evaluating the exact p-values of temporal and spatial scan statistics2015

    • Author(s)
      Kuriki, Satoshi; Takahashi, Kunihiko; Hara, Hisayuki
    • Journal Title

      arXiv

      Volume: stat.CO

    • Related Report
      2015 Research-status Report
    • Open Access
  • [Presentation] Recursive computation for evaluating the exact p-values of temporal and spatial scan statistics2015

    • Author(s)
      Kuriki, Satoshi; Takahashi, Kunihiko; Hara, Hisayuki
    • Organizer
      2015 IMS China
    • Place of Presentation
      Kunming, China
    • Year and Date
      2015-07-01
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Exact calculation of multiplicity-adjusted p-values of scan statistics in spatial epidemiology2014

    • Author(s)
      S. Kuriki, K. Takahashi, H. Hara
    • Organizer
      7th International Conference of the ERCIM WG on Computational and Methodological Statistics (ERCIM 2014)
    • Place of Presentation
      Pisa, Italy
    • Year and Date
      2014-12-07
    • Related Report
      2014 Research-status Report
  • [Presentation] 地理情報のマルコフ化による空間疫学スキャン統計量のp値の正確計算

    • Author(s)
      栗木哲
    • Organizer
      2012年度統計関連学会連合大会
    • Place of Presentation
      北海道大学(札幌)
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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