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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hirotsu, C. (1978). Ordered alternatives for interaction effects. Biometrika 65, 561–570.
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.
Hirotsu, C (1983b). Defining the pattern of association in two-way contingency tables. Biometrika 70, 579–590.
Hirotsu, C. (1986). Cumulative chi-squared statistic as a tool for testing goodness of fit. Biometrika 73, 165–173.
Hirotsu, C. (1991). An approach to comparing treatments based on repeated measures. Biometrika 78, 583–594.
Hirotsu, C. (1993). Beyond analysis of variance techniques: Some applications in clinical trials. International Statistical Review 61, 183–201.
Hirotsu, C. (1997). Two-way change point model and its application. Austral. J. Statistics 39, 205–218.
Hirotsu, C. (1998). Technological aspect of TQM. Proc. Int. Sympos. Quality Improvement Through Statistical Methods. Boston:Birkhauser, 275–287.
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.
Hirotsu, Kuriki and Hayter (1992). Multiple comparison procedures based on the maximal component of the cumulative chi-squared statistic. Biometrika 79, 381–392.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Springer Book Archive