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June 2014 Pairwise comparison of treatment levels in functional analysis of variance with application to erythrocyte hemolysis
Olga Vsevolozhskaya, Mark Greenwood, Dmitri Holodov
Ann. Appl. Stat. 8(2): 905-925 (June 2014). DOI: 10.1214/14-AOAS723

Abstract

Motivated by a practical need for the comparison of hemolysis curves at various treatment levels, we propose a novel method for pairwise comparison of mean functional responses. The hemolysis curves—the percent hemolysis as a function of time—of mice erythrocytes (red blood cells) by hydrochloric acid have been measured among different treatment levels. This data set fits well within the functional data analysis paradigm, in which a time series is considered as a realization of the underlying stochastic process or a smooth curve. Previous research has only provided methods for identifying some differences in mean curves at different times. We propose a two-level follow-up testing framework to allow comparisons of pairs of treatments within regions of time where some difference among curves is identified. The closure multiplicity adjustment method is used to control the family-wise error rate of the proposed procedure.

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Olga Vsevolozhskaya. Mark Greenwood. Dmitri Holodov. "Pairwise comparison of treatment levels in functional analysis of variance with application to erythrocyte hemolysis." Ann. Appl. Stat. 8 (2) 905 - 925, June 2014. https://doi.org/10.1214/14-AOAS723

Information

Published: June 2014
First available in Project Euclid: 1 July 2014

zbMATH: 06333781
MathSciNet: MR3262539
Digital Object Identifier: 10.1214/14-AOAS723

Keywords: FANOVA , Functional data analysis , multiple comparison , pairwise comparison , permutation method

Rights: Copyright © 2014 Institute of Mathematical Statistics

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Vol.8 • No. 2 • June 2014
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