Permutation Tests for ANOVA Designs and Simultaneous Tests in Signal Analysis, with Application to EEG

• Activity Number: 597
• Type: Contributed
• Date/Time: Wednesday, August 7, 2013 : 2:00 PM to 3:50 PM
• Sponsor: Section on Nonparametric Statistics
• Author(s): Olivier Renaud*+ and Sara Kherad-Pajouh
• Companies: University of Geneva and University of California, Berkeley
• Keywords: ANOVA ; experimental design ; multiple testing procedure ; reduced residuals

Abstract

In this talk, we present three classes of permutation test. The first class can be applied to any balanced or unbalanced experimental design with one error term (sometimes called between-subject design). It even allows us to test a main effect in the presence of a corresponding interaction. It is based on the reduced residuals and we show in which situation it is exact. In many experiments in psychology, the design includes a subject effect (so-called within-subject designs or mixed designs). The second class extend the permutation tests for this type of data and we discuss some of the variants. Especially with electroencephalogram (EEG) data, psychologists and neuroscientists are interested in comparing signals obtained in experimental conditions. A permutation test for testing each time point is proposed. This method permits to test the effect of any factor (within-subject or between-subject) at any time-point of the signal. Furthermore, this method can extend almost any multiple testing procedure (simultaneous tests) for EEG signals to work with these complex designs.