The cluster depth tests: Toward point-wise strong control of the family-wise error rate in massively univariate tests with application to M/EEG

•A new method for testing the difference between experimental conditions in M/EEG.•Controlling strongly the FWER in the presence of true effects in M/EEG•A method with high statistical power for single- and multi-channels analysis.•Allow a precise timing of the start and end of significant effects in M/EGG.