Hypothesis
Standard tests such as Student’s t and the binomial test validly assess whether multi-voxel classification performance exceeds chance.
What failed
Simulations showed those standard tests are invalid in typical MRI experiments, with only a carefully constructed permutation test assessing significance correctly; performance estimates also rose with both temporal and spatial signal correlation among voxels, so classification accuracy cannot be compared across areas, subjects or preprocessing pipelines without care.
Broken assumption
Classification accuracy in fMRI can be tested as though trials and voxels were independent samples.
Why
The authors trace the inflation to the slow BOLD response and to correlations among voxels, which break the independence the standard tests assume.
From the published paper: Schreiber et al. PLoS ONE, 2013. ↗CC BY