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Statistical Inference on Ordered Alternatives and Changepoint Hypotheses

Research Project

Project/Area Number 11680321
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionMeisei University (2000-2001)
The University of Tokyo (1999)

Principal Investigator

HIROTSU Chihiro  Meisei University, General Education, Professor, 一般教育, 教授 (60016730)

Co-Investigator(Kenkyū-buntansha) MIWA Tetsuhisa  National Institute for Environmental Sciences, Chief Investigator, 調査計画研究室, 室長)(研究職)
竹村 彰通  東京大学, 大学院・経済学研究科, 教授 (10171670)
国友 直人  東京大学, 大学院・経済学研究科, 教授 (10153313)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2000: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1999: ¥1,900,000 (Direct Cost: ¥1,900,000)
KeywordsSigmoidicity / Optimal design of experiments / Restricted least squares method / Monotone hypothesis / Simultaneous Confidence intervals / Convexity / Changepoint hypothesis / Dose-response analysis / 傾向性仮説 / 単調性 / 凸性 / S字性 / 変化点モデル / 勾配変化モデル / 変曲点モデル / 凸錐
Research Abstract

Testing the monotone alternative in the sequence of normal means has been extensively investigated by Barthoromew and others since 1960's. We combined the stream to that of the changepoint hypothesis and extended it to the ordered alternatives in the first and second order differences in normal means, which are called the convexity and the sigmoidicity hypotheses, respectively and essential in the nonparametric dose-response analysis. We developed those methods based on the cumulative efficient scores differently from the main stream of the maximum likelihood method, which are easier to be extended to more complicated cases including the two-way analysis of variance model and contingency tables. As such extensions we could especially develop a method of profile analysis of subjects based on 24 hours measurements of blood pressure and also an exact testing procedure for the association between the disease and alleles at highly polymorphic loci with particular interest in the haplotype analysis.
We also developed an exact and efficient algorithm for calculating the level probabilities of the restricted likelihood ratio test and made it much easier to apply the method. Other interesting result obtained is to combine one- and two-sided simultaneous confidence intervals to a single procedure.

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] Chihiro Hirotsu, satoshi Aoki, Toshiya Inada, Yoshie Kitao: "An exact test for the association between the disease and alleles at highly polymorphic loci with particular interest in the haplotype analysis"Biometrics. 57. 769-779 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu, Kouhei Marumo: "Change point analysis as a method for isotonic inference"in printing in Scandinavian Journal of Statistics. (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu, Satoshi Aoki: "Comparing treatments based on bivariate categorical responses"Proceedings 53^<rd> Session of International Statistical Institute in Seoul. (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu, Eri Ohta: "Profile analysis based on repeated measurements"Proceedings 7^<th> Intelligent Statistical Quality Control in Waterloo. (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Paul Somerville, Tetsuhisa Miwa, Wei Liu, A.J.Hayter: "Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects"Biometrical Journal. 43. 533-542 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu, Satoshi Aoki, Toshiya Inada and Yoshie Kitao: "An exact test for the association between the disease and alleles at highly polymorphic loci with particular interest in the haplotype analysis"Biometrics. 57. 769-779 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu and Kouhei Marumo: "Change point analysis as a method for isotonic inference"Scandinavian Journal of Statistics. (in printing). (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu and Satoshi Aoki: "Comparing treatments based on bivariate categorical responses"Proceedings 53^<rd> Session of International Statistical Institute in Seoul. (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu and Eri Ohta: "Profile analysis based on repeated measurements"Proceedings 7^<th> Intelligent Statistical Quality Control in Waterloo. (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Paul Somerville, Tetsuhisa Miwa, Wei Liu and A. J. Hayter: "Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects"Biometrical Journal. 43. 533-542 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Chihiro Hirotsu, Satoshi Aoki, Toshiya Inada, Yoshie Kitao: "An exact test for the association between the disease and alleles at highly polymorphic loci with particular interest in the haplotype analysis"Biometrics. 57. 769-779 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Chihiro Hirotsu, Kouhei Marumo: "Change point analysis as a method for isotonic inference"in printing in Scandinavian Journal of Statistics. (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 広津千尋: "科学技術としての統計的方法"臨床精神薬理. 4. 763-773 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Chihiro Hirotsu, Satoshi Aoki: "Comparing treatments based on bivariate categorical responses"Proceedings 53^<rd> Session of International Statistical Institute in Seoul. (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Chihiro Hirotsu, Eri Ohta: "Profile analysis based on repeated measurements"Proceedings 7^<th> Intelligent Statistical Quality Control in Waterloo. (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Paul Somerville, Tetsuhisa Miwa, Wei Liu, A.J.Hayter: "Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects"Biometrical Journal. 43. 533-542 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Chihiro Hirotsu: "Simultaneous confidence intervals based on one-sided max t test"Statistics and Probability Letters. 49. 25-37 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Chihiro Hirotsu: "On an optimal design for an isotonic inference"Journal of Statistical Planning and Inference. (To appear). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Yoshie Kitao: "A contribution to genome-wide association studies : search for susceptibility loci for schizophrenia using DNA microsatellite markers on chromosomes 19,20,21 and 22"Psychiatric. 10・3. 139-143 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Wei Liu: "Simultaneous confidence interval estimation for successive comparisons of ordered treatment effects"Journal of Statistical Planning and Inference. 88・1. 75-86 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Tetsuhisa Miwa: "Calculations of level probabilities for normal random variables with unequal variances with applications to Bartholomew's test in unbalanced one-way models"Computational Statistics and Data Analysis. 34・1. 17-32 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Anthony J.Hayter: "Combining the advantage of one-sided and two-sided procedures for comparing several treatments with a control"Journal of Statistical Planning and Inference. 86・1. 81-99 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Hirotsu,C.: "Modeling and analyzing the generalized interaction"In statistical monitoring and optimization for process control,Marcel Dekker,Ed.S.H.Park. 395-409 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hirotsu,C.: "A relationship between the isotonic inference and the changepoint analysis with related design problems"Proceedings,Invited Papers,52nd Session of International Statistical Institute in Helsinki. 149-152 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hirotsu,C.: "On an optimal design for an isotonic inference"To appear in J.statistical Planning and Inference. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hirotsu,C.and Srivastava,M-S.: "Simultaneous confidence intervals base on one-sided max test"To appear in statistics and Probability Letters. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Hayter,A.J.,Miwa,T.and Liu,W.: "Combining the advantages of one-sided and two-sided procedures for comparing several treatments with a control"To appear in Journal of Statistical Plannning and Inference. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Miwa,T.and Hayter,A.J: "Combining the advantages of one-sided and two-sided test procedures for coparing several treatment effects"Journal of the American Statistical Association. 94. 302-307 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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