A complementary design theory for doubling
| dc.creator | Xu, Hongquan | |
| dc.creator | Cheng, Ching-Shui | |
| dc.date | 2008-03-14 | |
| dc.date.accessioned | 2026-07-07T12:17:40Z | |
| dc.date.available | 2026-07-07T12:17:40Z | |
| dc.description | Chen and Cheng [Ann. Statist. 34 (2006) 546--558] discussed the method of doubling for constructing two-level fractional factorial designs. They showed that for $9N/32\le n\le 5N/16$, all minimum aberration designs with $N$ runs and $n$ factors are projections of the maximal design with $5N/16$ factors which is constructed by repeatedly doubling the $2^{5-1}$ design defined by $I=ABCDE$. This paper develops a general complementary design theory for doubling. For any design obtained by repeated doubling, general identities are established to link the wordlength patterns of each pair of complementary projection designs. A rule is developed for choosing minimum aberration projection designs from the maximal design with $5N/16$ factors. It is further shown that for $17N/64\le n\le 5N/16$, all minimum aberration designs with $N$ runs and $n$ factors are projections of the maximal design with $N$ runs and $5N/16$ factors. | |
| dc.description | Published in at http://dx.doi.org/10.1214/009005360700000712 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0803.2118 | |
| dc.identifier | http://arxiv.org/abs/0803.2118 | |
| dc.identifier | Annals of Statistics 2008, Vol. 36, No. 1, 445-457 | |
| dc.identifier | doi:10.1214/009005360700000712 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212153 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62K15 (Primary) | |
| dc.title | A complementary design theory for doubling | |
| dc.type | text |