Optimal Balanced Fractional $2^m$ Factorial Designs of Resolution VII, $6 \leqq m \leqq 8$
Shirakura, Teruhiro
Ann. Statist., Tome 4 (1976) no. 1, p. 515-531 / Harvested from Project Euclid
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Consider the class of balanced fractional $2^m$ factorial designs of resolution VII. Within this class, optimal designs with respect to the trace criterion are given for any fixed $N$ assemblies, which satisfy (i) $m = 6, 42 \leqq N \leqq 64$, (ii) $m = 7, 64 \leqq N \leqq 90$ and (iii) $m = 8, 93 \leqq N \leqq 128$. The covariance matrices of the estimates of the effects are also given for such designs.
Publié le : 1976-05-14
Classification:  Fractional designs,  optimal balanced designs,  trace criterion,  balanced arrays,  information matrix,  covariance matrix,  62K15,  05B15,  05B30 
@article{1176343458,
     author = {Shirakura, Teruhiro},
     title = {Optimal Balanced Fractional $2^m$ Factorial Designs of Resolution VII, $6 \leqq m \leqq 8$},
     journal = {Ann. Statist.},
     volume = {4},
     number = {1},
     year = {1976},
     pages = { 515-531},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176343458}
}

Shirakura, Teruhiro. Optimal Balanced Fractional $2^m$ Factorial Designs of Resolution VII, $6 \leqq m \leqq 8$. Ann. Statist., Tome 4 (1976) no. 1, pp.  515-531. http://gdmltest.u-ga.fr/item/1176343458/