Regular uniform main-effect designs derivable from geometric factorial designs in 2n runs

Issue title: Special Issue In commemoration of Professor Sergey Aivazian and his remarkable contributions to statistics and econometrics: Multivariate Statistics in Applications to Econometrics

Guest editors: Henry Penikas

Article type: Research Article

Authors: Boguslavsky, Ilya^{a; *} | Z. Brodsky, Slava^b | R. Ioffe, Gena^c

Affiliations: [a] 77 Hudson St, Apartment 1706, Jersey City, NJ 07302, USA | [b] 26 Norwood Terrace, Millburn, NJ 07041, USA | [c] 403 Pleasant Hill Road, New City, NY 10956, USA

Correspondence: [*] Corresponding author: Slava Z. Brodsky, 26 Norwood Terrace, Millburn, NJ 07041, USA. E-mail: mail@slavabrodsky.com.

Abstract: The article introduces a general method of construction of asymmetrical regular factorial main-effect designs in 2n runs. It presents a collection of optimal designs constructed by this method in 32, 64, 128, and 256 runs. The method provides exploration of design structure and construction of designs with required properties. Construction of composite designs is given as an example of design structure exploration.

Keywords: Factorial design, geometric design, hypercube, regular factorial design, finite projective geometry, finite Euclidean space

DOI: 10.3233/MAS-200504

Journal: Model Assisted Statistics and Applications, vol. 15, no. 4, pp. 323-333, 2020