Relations between regular A-optimal chemical and spring balance weighing designs with diagonal covariance matrix of errors

Bronisław Ceranka; Małgorzata Graczyk

doi:10.2478/bile-2013-0023

.blurhash-client-img { display: none !important; }

Relations between regular A-optimal chemical and spring balance weighing designs with diagonal covariance matrix of errors

Biometrical Letters

Volume 50 (2013): Issue 2 (December 2013)

By: Bronisław Ceranka and Małgorzata Graczyk

Open Access

|Dec 2013

Abrego B., Fernandez-Merchant S., Neubauer G.N., Watkins W. (2003): D-optimal weighing designs for= -1mod4 objects and a large number of weighings. Linear Algebra and its Applications 374: 175-218.
Open DOI Search in Google Scholar
Banerjee K.S. (1975): Weighing Designs for Chemistry, Medicine. Economics, Operations Research, Statistics. Marcel Dekker Inc., New York.
Search in Google Scholar
Ceranka B., Graczyk M. (2004): A-optimal chemical balance weighing design. Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensis, Mathematica 15: 41-54.
Search in Google Scholar
Ceranka B., Graczyk M., Katulska K. (2006): A-optimal chemical balance weighing design with nonhomogeneity of variances of errors. Statistics and Probability Letters 76: 653 - 665
Open DOI Search in Google Scholar
Ceranka B., Graczyk M., Katulska K. (2007): On certain A-optimal chemical balance weighing designs. Computational Statistics and Data Analysis 51: 5821-5827.
Open DOI Search in Google Scholar
Ceranka B., Katulska K. (2001): A-optimal chemical balance weighing design with diagonal covariance matrix of errors. Moda 6, Advances in Model Oriented Design and Analysis, A.C. Atkinson, P. Hackl, W.G. Mffller, eds., Physica-Verlag, Heidelberg, New York, 29-36. Chadjiconstantinidis S., Chadjipadelis T. (1994): A construction method of new D-A-optimal designs when3mod4 and-1. Discrete Mathematics 131: 39-50.
Search in Google Scholar
Graczyk M. (2011): A-optimal biased spring balance design. Kybernetika 47, 893-901.
Search in Google Scholar
Graczyk M. (2012a): Notes about A-optimal spring balance weighing design. Journal of Statistical Planning and Inference 142: 781-784.
Open DOI Search in Google Scholar
Graczyk M. (2012b): Regular A-optimal spring balance weighing designs. Revstat 10: 323-333.
Search in Google Scholar
Jacroux M., Notz W. (1983): On the optimality of spring balance weighing designs. The Annals of Statistics 11: 970-978.
Open DOI Search in Google Scholar
Kageyama S., Saha G.M. (1983): Note on the construction of optimum chemical balance weighing designs. Ann. Inst. Statist. Mat. 35A: 447-452.
Open DOI Search in Google Scholar
Neubauer G.N., Pace R.G. (2010): D-optimal (0,1)-weighing designs for eight objects. Linear Algebra and its Applications 432: 2634-2657.
Open DOI Search in Google Scholar
Masaro J., Wong C.S. (2008): Robustness of A-optimal designs. Linear Algebra and its Applications 429: 1392-1408.
Open DOI Search in Google Scholar
Pukelsheim F. (1993): Optimal Design of Experiment. John Wiley and Sons, New York.
Search in Google Scholar
Raghavarao D. (1971): Constructions and Combinatorial Problems in Designs of Experiments. John Wiley Inc., New York.
Search in Google Scholar
Shah K.R., Sinha B.K. (1989): Theory of Optimal Designs. Springer-Verlag, Berlin.
Open DOI Search in Google Scholar