10.1184/R1/6586826.v1
Dennis D. Cox
Dennis D.
Cox
Jong Soo Lee
Jong Soo
Lee
Pointwise Testing with Functional Data Using the Westfall-Young Randomization Method
Carnegie Mellon University
2008
Functional data analysis
Hypothesis testing
Multiple comparison procedure
Permutation method
2008-07-01 00:00:00
Journal contribution
https://kilthub.cmu.edu/articles/journal_contribution/Pointwise_Testing_with_Functional_Data_Using_the_Westfall-Young_Randomization_Method/6586826
<p>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.</p>