Advertisement

Distribution-free Pointwise Adjusted %-values for Functional Hypotheses

  • Meng Xu
  • Philip T. Reiss
Conference paper
  • 137 Downloads
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

Graphical tests assess whether a function of interest departs from an envelope of functions generated under a simulated null distribution. This approach originated in spatial statistics, but has recently gained some popularity in functional data analysis. Whereas such envelope tests examine deviation from a functional null distribution in an omnibus sense, in some applications we wish to do more: to obtain p-values at each point in the function domain, adjusted to control the familywise error rate. Here we derive pointwise adjusted p-values based on envelope tests, and relate these to previous approaches for functional data under distributional assumptions. We then present two alternative distribution-free p-value adjustments that offer greater power. The methods are illustrated with an analysis of age-varying sex effects on cortical thickness in the human brain.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Meng Xu
    • 1
  • Philip T. Reiss
    • 1
  1. 1.Department of StatisticsUniversity of HaifaHaifaIsrael

Personalised recommendations