Structure function for aliasing patterns in $\boldsymbol{2^{l-n}}$ design with multiple groups of factors
Zhu, Yu
Ann. Statist., Tome 31 (2003) no. 1, p. 995-1011 / Harvested from Project Euclid
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A general approach to studying fractional factorial designs with multiple groups of factors is proposed. A structure function is generated by the defining contrasts among different groups of factors and the remaining columns. The structure function satisfies a first-order partial differential equation. By solving this equation, general results about the structures and properties of the designs are obtained. As an important application, practical rules for the selection of "optimal" single arrays for robust parameter design experiments are derived.
Publié le : 2003-06-14
Classification:  Fractional factorial design,  complementary designs,  wordtype pattern,  structure index,  structure function,  62K15,  62K05 
@article{1056562471,
     author = {Zhu, Yu},
     title = {Structure function for aliasing patterns in $\boldsymbol{2^{l-n}}$ design with multiple groups of factors},
     journal = {Ann. Statist.},
     volume = {31},
     number = {1},
     year = {2003},
     pages = { 995-1011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1056562471}
}

Zhu, Yu. Structure function for aliasing patterns in $\boldsymbol{2^{l-n}}$ design with multiple groups of factors. Ann. Statist., Tome 31 (2003) no. 1, pp.  995-1011. http://gdmltest.u-ga.fr/item/1056562471/