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

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Frontiers in Statistical Quality Control 7

Part of the book series: Frontiers in Statistical Quality Control ((FSQC,volume 7))

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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.

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References

  1. Hirotsu, C. (1978). Ordered alternatives for interaction effects. Biometrika 65, 561–570.

    Article  MATH  Google Scholar 

  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.

    Article  MATH  MathSciNet  Google Scholar 

  3. Hirotsu, C (1983b). Defining the pattern of association in two-way contingency tables. Biometrika 70, 579–590.

    Article  MATH  MathSciNet  Google Scholar 

  4. Hirotsu, C. (1986). Cumulative chi-squared statistic as a tool for testing goodness of fit. Biometrika 73, 165–173.

    Article  MATH  MathSciNet  Google Scholar 

  5. Hirotsu, C. (1991). An approach to comparing treatments based on repeated measures. Biometrika 78, 583–594.

    Article  MATH  MathSciNet  Google Scholar 

  6. Hirotsu, C. (1993). Beyond analysis of variance techniques: Some applications in clinical trials. International Statistical Review 61, 183–201.

    Article  MATH  Google Scholar 

  7. Hirotsu, C. (1997). Two-way change point model and its application. Austral. J. Statistics 39, 205–218.

    Article  MATH  MathSciNet  Google Scholar 

  8. Hirotsu, C. (1998). Technological aspect of TQM. Proc. Int. Sympos. Quality Improvement Through Statistical Methods. Boston:Birkhauser, 275–287.

    Google Scholar 

  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. Hirotsu, Kuriki and Hayter (1992). Multiple comparison procedures based on the maximal component of the cumulative chi-squared statistic. Biometrika 79, 381–392.

    Article  MATH  MathSciNet  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Hirotsu, C., Ohta, E. (2004). Profile Analysis Based on Repeated Measurements — A New Approach to the Analysis of Interaction. In: Lenz, HJ., Wilrich, PT. (eds) Frontiers in Statistical Quality Control 7. Frontiers in Statistical Quality Control, vol 7. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-2674-6_18

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  • DOI: https://doi.org/10.1007/978-3-7908-2674-6_18

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0145-3

  • Online ISBN: 978-3-7908-2674-6

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