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SUMMARY:The algebraic method in statistics: Betti numbers and Alexander du
 ality - Wynn\, H (Antwerpen)
DTSTART:20110902T100000Z
DTEND:20110902T103000Z
UID:TALK32624@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:After a brief review of the algebraic method in statistics\, u
 sing G-bases\, some newer results are described. The first relates the ave
 rage degree concept to the Betti numbers of the monomial ideal of models. 
 "Flatter" models in the sense of having lower degree are associated with m
 ore complex ideals having larger Betti numbers. The Alexander duality rela
 tes models and their complements within a factorial framework and leads to
  large classes of design for which it is straightforward to read off the m
 odel structure.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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