摘要： Optimal approximate designs for quadratic regression with random block effects in the case of block size two are considered. We obtain, with respect to the Schur ordering, an essentially complete class consisting of designs with a simple structure. The locally D- and A-optimal designs given in Cheng (1995a) and Atkins and Cheng (1999) belong to this class. We explicitly identify locally E-optimal designs and show that for each p, −∞≤p≤1, there is a unique ϕp-design in this class. Bayesian ϕp-optimal designs are also considered. •We obtain an essentially complete class of designs with a simple structure.•The class contains locally and Bayesian ϕp-optimal designs.•We present some highly efficient designs for arbitrary intra-block correlations. 出版者： Elsevier B.V 出版日期： 2016-08 出處： Journal of statistical planning and inference, 2016-08, Vol.175, p.67-77 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2016 Elsevier B.V. 識別號： ISSN: 0378-3758 識別號： EISSN: 1873-1171 識別號： DOI: 10.1016/j.jspi.2016.02.008
