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Profile Analysis Based on Repeated Measurements — A New Approach to the Analysis of Interaction

  • Chihiro Hirotsu
  • Eri Ohta
Conference paper
Part of the Frontiers in Statistical Quality Control book series (FSQC, volume 7)

Abstract

An overview of the analytical methods for interaction is given with particular interest in the row- and/or column-wise multiple comparison procedures for the case where there is a natural ordering in the rows and/or columns. The methods are useful not only for the analysis of variance model, but also for two-way contingency tables. In particular, a new approach is introduced to classifying rows according to their convex, flat or concave response patterns along the columns. A real example of classifying 147 subjects based on their 24 hours blood pressure measurements is also given.

Keywords

Blood Pressure Measurement Profile Pattern Dose Response Experiment Clinical Doctor Linear Rank 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Hirotsu, C. (1978). Ordered alternatives for interaction effects. Biometrika 65, 561–570.CrossRefzbMATHGoogle Scholar
  2. 2.
    Hirotsu, C. (1983a). An approach to defining the pattern of interaction effects in a two-way layout. Annals Inst. Statist. Math. A 35, 77–90.CrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    Hirotsu, C (1983b). Defining the pattern of association in two-way contingency tables. Biometrika 70, 579–590.CrossRefzbMATHMathSciNetGoogle Scholar
  4. 4.
    Hirotsu, C. (1986). Cumulative chi-squared statistic as a tool for testing goodness of fit. Biometrika 73, 165–173.CrossRefzbMATHMathSciNetGoogle Scholar
  5. 5.
    Hirotsu, C. (1991). An approach to comparing treatments based on repeated measures. Biometrika 78, 583–594.CrossRefzbMATHMathSciNetGoogle Scholar
  6. 6.
    Hirotsu, C. (1993). Beyond analysis of variance techniques: Some applications in clinical trials. International Statistical Review 61, 183–201.CrossRefzbMATHGoogle Scholar
  7. 7.
    Hirotsu, C. (1997). Two-way change point model and its application. Austral. J. Statistics 39, 205–218.CrossRefzbMATHMathSciNetGoogle Scholar
  8. 8.
    Hirotsu, C. (1998). Technological aspect of TQM. Proc. Int. Sympos. Quality Improvement Through Statistical Methods. Boston:Birkhauser, 275–287.Google Scholar
  9. 9.
    Hirotsu, C. (2000). Modeling and analyzing the generalized interaction. In statistical monitoring and Optimization for process control Ed. S. H. Park and G. G. Vining, New York: Marcel Dekker, 395–409.Google Scholar
  10. 10.
    Hirotsu, Kuriki and Hayter (1992). Multiple comparison procedures based on the maximal component of the cumulative chi-squared statistic. Biometrika 79, 381–392.CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Chihiro Hirotsu
    • 1
  • Eri Ohta
    • 1
  1. 1.Faculty of Science and TechnologyMeisei UniversityTokyoJapan

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