Construction of some mixed two- and four-level regular designs with GMC criterion

Autor:	Tian-Fang Zhang, Zhiming Li, Jian-Feng Yang, Runchu Zhang
Rok vydání:	2017
Předmět:	Statistics and Probability Discrete mathematics Optimal design 010104 statistics & probability 0502 economics and business 05 social sciences 0101 mathematics 01 natural sciences 050205 econometrics Mathematics
Zdroj:	Communications in Statistics - Theory and Methods. 46:8497-8509
ISSN:	1532-415X 0361-0926
DOI:	10.1080/03610926.2016.1183787
Popis:	General minimum lower-order confounding (GMC) criterion is to choose optimal designs, which is based on the aliased effect-number pattern (AENP). The AENP and GMC criterion have been developed to form GMC theory. Zhang, Yang, Li and Zhang (2015) introduced GMC 2n4m criterion for choosing optimal designs and constructed all GMC 2n41 designs with N/4 + 1 ≤ n + 2 ≤ 5N/16. In this paper, we analyze properties of 2n41 designs and construct GMC 2n41 designs with 5N/16 + 1 ≤ n + 2 < N − 1, where n and N are respectively the numbers of two-level factors and runs. Further, GMC 2n41 designs with 16-run, 32-run are tabulated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3788e59c5c882078589d32be8704e544 https://doi.org/10.1080/03610926.2016.1183787 Zobrazit plný text záznamu