JSM 2011 Online Program

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Abstract Details

Activity Number: 525
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301438
Title: Follow-Up Testing in Functional ANOVA
Author(s): Olga A. Vsevolozhskaya*+ and Mark Greenwood
Companies: Montana State University and Montana State University
Address: 1836 E. Valley Center Rd., Bozeman, MT, 59718,
Keywords: Functional data analysis ; Hypothesis testing ; Multiple comparison procedures ; Permutation methods ; Functional ANOVA
Abstract:

Functional analysis of variance involves testing for differences in functional means across k groups in n functional responses. If a significant overall difference in the mean curves is detected, one may want to identify the location of these differences. Two different follow-up testing methods are discussed and contrasted. A point-wise test proposed by Cox and Lee (2008) is compared to a test based on regions of the functional domain. The methods are contrasted in terms of weak control of the family-wise error rate, strong control of the family-wise error rate, and power.


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