Balance, orthogonality and efficiency factors in factorial design

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It is shown that (i) general balance with respect to the factorial structure and (ii) orthogonal factorial structure are essentially the same thing for factorial designs with a single system of blocks. Upper bounds for efficiency factors in generally balanced factorial designs are found which are tighter and more widely applicable than those previously available.
Original languageEnglish
Pages (from-to)453-458
Number of pages6
JournalJournal of the Royal Statistical Society, Series B (Methodological)
Issue number3
Publication statusPublished - 1985


  • balance
  • efficiency factor
  • factorial design
  • general balance
  • interaction
  • orthogonal factorial structure
  • regular
  • super-balance
  • super-regular
  • upper bound

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