
Presentation
Follow-Up Testing in Functional ANOVA
2011 Joint Statistical Meetings
(2011)
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.
Keywords
- Functional data analysis,
- Hypothesis testing,
- Multiple comparison procedures,
- Permutation methods,
- Functional ANOVA
Disciplines
Publication Date
August 3, 2011
Citation Information
Olga A. Vsevolozhskaya and Mark C. Greenwood. "Follow-Up Testing in Functional ANOVA" 2011 Joint Statistical Meetings (2011) Available at: http://works.bepress.com/vsevolozhskaya/11/