Open Access
October, 1969 Near-Cyclic Representations for Some Resolution VI Fractional Factorial Plans
D. A. Preece
Ann. Math. Statist. 40(5): 1840-1843 (October, 1969). DOI: 10.1214/aoms/1177697398


Draper and Mitchell (1968) gave the complete set of even 512-run designs of resolution $\geqq 6$ and the complete set of 256-run designs of resolution $\geqq 5$. The authors showed that each of these designs can be obtained from one or other of five Reference Designs, all of resolution 6. The present note gives near-cyclic representations of the complete sets of interactions in the identity relationships of the Reference Designs. Some of these sets are shown to be related to certain incomplete block designs, including a resolvable balanced incomplete block design of a type that seems to have eluded attention hitherto.


Download Citation

D. A. Preece. "Near-Cyclic Representations for Some Resolution VI Fractional Factorial Plans." Ann. Math. Statist. 40 (5) 1840 - 1843, October, 1969.


Published: October, 1969
First available in Project Euclid: 27 April 2007

zbMATH: 0193.47602
MathSciNet: MR253483
Digital Object Identifier: 10.1214/aoms/1177697398

Rights: Copyright © 1969 Institute of Mathematical Statistics

Vol.40 • No. 5 • October, 1969
Back to Top