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SUMMARY:Flexible Multiple Testing with All-Resolutions Inference - Jelle G
 oeman (Leiden University Medical Center)
DTSTART:20221111T140000Z
DTEND:20221111T150000Z
UID:TALK182729@talks.cam.ac.uk
CONTACT:Qingyuan Zhao
DESCRIPTION:Many fields of science nowadays gather data at a very fine res
 olution but do inference at a higher aggregated level. For example\, in ne
 uroimaging data are gathered at the level of 3 mm × 3 mm × 3 mm voxels\,
  but the relevant biology happens at the level of cm-scale brain areas\; i
 n genetics\, data are gathered at the level of single-DNA-base polymorphis
 ms\, but interesting questions happen at the level of genes or even gene g
 roups\; in spatial statistics\, data may be gathered at street level but i
 nteresting questions are about neighbourhoods or regions. Often\, there is
  not just one natural way to aggregate data to prepare for inference. Mult
 iple alternative criteria could be used to drive the grouping. Aggregation
  to large regions may give low specificity\; more limited aggregation may 
 give low power.\nThis talk presents how Closed Testing can be used to anal
 yze this type data at all resolutions simultaneously. The method allows th
 e choice how and how much to aggregate to be chosen freely by the research
 er\, in a data-dependent way\, while still strictly controlling the probab
 ility of false positive findings. This allows researchers to adapt the inf
 erence to the amount and the shape of the signal that is present in the da
 ta: the stronger the signal\, the better it will be pinpointed by the clos
 ed testing procedure.\nI will review the general idea and theory of closed
  testing and recent progress in method development in this area. Several e
 xample contexts illustrate the wide applicability of all-resolutions infer
 ence.
LOCATION:MR12\, Centre for Mathematical Sciences
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