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Split-plot designs with general minimum lower-order confounding
Authors:WEI JiaLin     YANG JianFeng   LI Peng & ZHANG RunChu      School of Mathematical Sciences    LPMC  Nankai University  Tianjin   China   KLAS    School of Mathematics    Statistics  Northeast Normal University  Changchun    School of Mathematical Sciences  Capital Normal University  Beijing    School of Sciences  Tianjin University of Commerce  Tianjin
Affiliation:WEI JiaLin 1,4,YANG JianFeng 1,LI Peng 3 & ZHANG RunChu 1,2,1 School of Mathematical Sciences , LPMC,Nankai University,Tianjin 300071,China,2 KLAS , School of Mathematics , Statistics,Northeast Normal University,Changchun 130024,3 School of Mathematical Sciences,Capital Normal University,Beijing 100037,4 School of Sciences,Tianjin University of Commerce,Tianjin 300134
Abstract:Split-plot designs have been widely used in industrial experiments.Up to now,most methods for choosing this kind of designs are based on the minimum aberration (MA) criterion.Recently,by introducing a new pattern,called aliased effect-number pattern (AENP),Zhang et al.proposed a general minimum lowerorder confounding (denoted by GMC for short) criterion and established a general minimum confounding (also denoted by GMC for saving notations) theory.It is proved that,the GMC criterion selects optimal designs ...
Keywords:fractional factorial design  GMC criterion  minimum aberration  split-plot  
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