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Creators/Authors contains: "Chai, Feng‐Shun"

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  1. ; ; (, Journal of Statistical Theory and Practice)
    Full Text Available 
  2. ; ; ; (, Statistics and applications)
    Accepted Manuscript Full Text Available
  3. ; ; (, Journal of Combinatorial Designs)
    Abstract Magic squares have been extremely useful and popular in combinatorics and statistics. One generalization of magic squares ismagic rectangleswhich are useful for designing experiments in statistics. A necessary and sufficient condition for the existence of magic rectangles restricts the number of rows and columns to be either both odd or both even. In this paper, we generalize magic rectangles to even by oddnearly magic rectangles. We also prove necessary and sufficient conditions for the existence of a nearly magic rectangle, and construct one for each parameter set for which they exist. 
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