Department of Statistics Unitmark
Dietrich College of Humanities and Social Sciences

Pointwise Testing with Functional Data Using the Westfall-Young Randomization Method

Publication Date

January, 2007

Publication Type

Tech Report


Dennis D. Cox and Jong Soo Lee


We consider hypothesis testing with smooth functional data by performing pointwise tests and applying a multiple comparisons procedure. Methods based on general inequalities (such as Bonferroni's method) do not perform well because of the high correlation between observations at nearby points. We consider the multiple comparison procedure proposed by Westfall and Young (1993) and show that it approximates a multiple comparison correction for a continuum of comparisons as the grid for pointwise comparisons becomes finer. Simulations and an application verify that this result applies in practical settings.

(Revised 07/07)