Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (4): 627-635.

• Articles • Previous Articles     Next Articles

Optimal Blocking and Foldover Plans of Regular (srsn Fractional Factorial Designs

 LEI Yi-Ju, ZHAO Shou-Juan   

  1. Department of Mathematics, Xinxiang College, Henan Xinxiang 453000
  • Received:2011-08-22 Revised:2012-12-29 Online:2013-08-25 Published:2013-08-25

Abstract:

This article considers the problem of choosing optimal designs of regular (srsn fractional factorial designs when both blocking and foldover techniques are employed, here r(≥2) is an integer and s is a prime or prime power. Based on a general decomposition structure of blocked regular (srsn fractional factorial designs, the treatment and block split wordlength patterns of the combined blocked design under a general foldover plan are defined. They are proved to be independent of the choice of the block foldover plans. It is shown that, for an initial unblocked design, a pair of blocking and foldover plans has minimum aberration for the combined blocked design if and only if the foldover plan has minimum aberration without consideration of blocking plans and the blocking plan has minimum aberration without consideration of foldover plans.

Key words: Optimal blocking plans, Optimal foldover plans, Minimum aberration,  Split Wordlength pattern

CLC Number: 

  • 62K15
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