References
- Angelis L, Bora-Senta E, Moyssiadis C. Optimal exact experimental designs with correlated errors through a simulated annealing algorithm. Comput Stat Data Anal. 2001;37:275–296.
- Pukelsheim F. Optimal design of experiments. New York (NY): Wiley; 1993. (Reprinted as, Vol. 50, SIAM classics in applied mathematics. Philadelphia (PA): SIAM; 2006.).
- Jacroux M, Wong CS, Masaro J. On the optimality of chemical balance weighing designs. J Stat Planning Inference. 1983;8:231–240.
- Cheng CS. Optimality of some weighing and 2n fractional factorial designs. Ann Stat. 1980;8:436–446.
- Cheng CS. Optimal biased weighing designs and two-level main-effect plans. J Stat Theory Pract. 2014;8:83–99.
- Wong CS, Masaro J. A-optimal design matrices X = (Xij)N × n with xij = –1,0,1. Linear Multilinear Algebra. 1984;15:23–46.
- Masaro J. On A-optimal block matrices and weighing designs when n ≡ 3 (mod 4). J Stat Planning Inference. 1988;18:363–370.
- Neubauer M, Radcliffe AJ. The maximum determinant of (+1, –1)-matrices. Linear Algebra Appl. 1997;257:289–306.
- Neubauer M, Watkins W. D-optimal designs for seven objects and a large number of weighings. Linear Multilinear Algebra. 2002;50:61–74.
- Lopez EA, Neubauer M. D-optimal (0, 1)-weighing designs for 10 objects. Linear Multilinear Algebra. 2010;58:151–171.
- Jenkins GM, Chanmugam J. The estimation of slope when the errors are autocorrelated. J R Stat Soc Ser B Stat Methodol. 1962;24:199–214.
- Ceranka B, Graczyk M, Katulska K. On certain A-optimal chemical balance weighing design. Comput Stat Data Anal. 2007;51:5821–5827.
- Masaro J, Wong CS. Robustness of optimal designs for correlated random variables. Linear Algebra Appl. 2008;429:1639–1646.
- Masaro J, Wong CS. D-optimal designs for correlated random vectors. J Stat Planning Inference. 2008;138:4093–4106.
- Masaro J, Wong CS. Robustness of A-optimal designs. Linear Algebra Appl. 2008;29:1392–1408.
- Ceranka B, Graczyk M. Robustness of optimal chemical balance weighing designs for estimation of total weight. Commun Stat Theory Methods. 2012;41:2297–2304.
- Smaga Ł. Uniquely E-optimal designs with n ≡ 2 correlated observations. Linear Algebra Appl. 2015;473:297–315.
- Ceranka B, Graczyk M, Katulska K. A-optimal chemical balance weighing design with nonhomogeneity of variances of errors. Stat Probab Lett. 2006;76:653–665.
- Graczyk M. Regular A-optimal design matrices X = (xij) with xij = –1,0,1. Stat Pap. 2009;50:789–795.
- Li CH, Yang SY. On a conjecture in D-optimal designs with n ≡ 0 (mod 4). Linear Algebra Appl. 2005;400:279–290.
- Yeh HG. Lo Huang MN. On exact D-optimal designs with 2 two-level factors and >n autocorrelated observations. Metrika. 2005;61:261–275.
- Katulska K, Smaga Ł. D-optimal chemical balance weighing designs with n ≡ 0 (mod 4) and 3 objects. Commun Stat Theory Methods. 2012;41:2445–2455.
- Katulska K, Smaga Ł. D-optimal chemical balance weighing designs with autoregressive errors. Metrika. 2013;76:393–407.
- Graczyk M. Some applications of weighing designs. Biometrical Lett. 2013;50:15–26.
- Raghavarao D. Construction and combinatorial problem in design of experiments. New York (NY): Wiley; 1971.
- Marshall AW, Olkin I, Arnold BC. Inequalities: theory of majorization and its applications. New York (NY): Springer; 2011.