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SUMMARY:A Short Overview of Orthogonal Arrays - Stufken\, J (Georgia)
DTSTART:20110905T161500Z
DTEND:20110905T171500Z
UID:TALK32658@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Combinatorial arrangements now known as orthogonal arrays were
  introduced for use in statistics in the 1940's. The primary purpose for t
 heir introduction was to guide the selection of level combinations in a fr
 actional factorial experiment\, and this is still an important reason for 
 their interest in statistics. Various criteria based on statistical proper
 ties have been introduced over the years to distinguish between different 
 orthogonal arrays of the same size\, and some authors have attempted to en
 umerate all non-isomorphic arrays of small sizes. Orthogonal arrays also p
 ossess interesting relationships to several other combinatorial arrangemen
 ts\, including to error-correcting codes and Hadamard matrices. In this ta
 lk\, aimed at a general mathematical audience\, we will present a brief an
 d selective overview of orthogonal arrays\, including their existence\, co
 nstruction\, and relationships to other arrangements.\n
LOCATION:Seminar Room 1\, Newton Institute
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