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Presentation
Follow-Up Testing in Functional ANOVA
2011 Joint Statistical Meetings (2011)
  • Olga A. Vsevolozhskaya
  • Mark C. Greenwood
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
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/