Widening the applicability of permutation inference

Thesis

This thesis is divided into three main parts. In the first, we discuss that, although permutation tests can provide exact control of false positives under the reasonable assumption of exchangeability, there are common examples in which global exchangeability does not hold, such as in experiments with repeated measurements or tests in which subjects are related to each other. To allow permutation inference in such cases, we propose an extension of the well known concept of exchangeability b...

Expand abstract

Authors: Winkler, A

• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: multi-level block permutation; non-parametric combination; low rank matrix completion; multiple regression; general linear model; surface-based morphometry; brain morphology; Pearson type III distribution; weak exchangeability; gamma distribution; sib-pair design; tail approximation; permutation tests; brain cortical volume; negative binomial distribution; heritability; generalised Pareto distribution; repeated measurements; brain cortical surface area; brain cortical thickness
• Subjects: Brain morphology; Brain imaging; Statistics