On construction of blocked general minimum lower-order confounding 2(n-m): 2(r) designs with N/4+1 <= n <= 5N/16

摘要

As an extension of the general minimum lower-order confounding (GMC) criterion to the case of blocked design, a B (1)-GMC criterion was proposed (see Wei et al. (2014)). Zhao et al. (2013) constructed all the B (1)-GMC 2(n-m) : 2(r) designs with 5N/16 + 1 <= n <= N - 1, where N = 2(n-m), n and r are the numbers of runs, treatment factors and block factors respectively. In this paper, we establish a construction theory to obtain all the B (1)-GMC 2(n-m) : 2(r) designs with N/4 + 1 <= n <= 5N/16. For application, all the B (1)-GMC 2(n-m) : 2(r) designs with N/4 + 1 <= n <= 5N/16 and N = 16, 32, 64 and 128 respectively are tabulated. (C) 2014 Published by Elsevier Inc.