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2013 | 50 | 2 | 127-136

Tytuł artykułu

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

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
In this paper, we study the relationships between regular A-optimal spring balance weighing designs and regular A-optimal chemical balance weighing designs. We give the basic relation between these designs in the case where the errors are uncorrelated and they have different variances. We give some examples of methods of construction of such designs.

Wydawca

Czasopismo

Rocznik

Tom

50

Numer

2

Strony

127-136

Opis fizyczny

Daty

wydano
2013-12-01
online
2013-12-10

Twórcy

  • Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań, Poland
  • Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań, Poland

Bibliografia

  • Abrego B., Fernandez-Merchant S., Neubauer G.N., Watkins W. (2003): D-optimal weighing designs for n = -1mod4 objects and a large number of weighings. Linear Algebra and its Applications 374: 175-218.[WoS]
  • Banerjee K.S. (1975): Weighing Designs for Chemistry, Medicine. Economics, Operations Research, Statistics. Marcel Dekker Inc., New York.
  • Ceranka B., Graczyk M. (2004): A-optimal chemical balance weighing design. Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensis, Mathematica 15: 41-54.
  • 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
  • Ceranka B., Graczyk M., Katulska K. (2007): On certain A-optimal chemical balance weighing designs. Computational Statistics and Data Analysis 51: 5821-5827.[WoS]
  • 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 when N = 3mod4 and к < N-1. Discrete Mathematics 131: 39-50.
  • Graczyk M. (2011): A-optimal biased spring balance design. Kybernetika 47, 893-901.
  • Graczyk M. (2012a): Notes about A-optimal spring balance weighing design. Journal of Statistical Planning and Inference 142: 781-784.
  • Graczyk M. (2012b): Regular A-optimal spring balance weighing designs. Revstat 10: 323-333.
  • Jacroux M., Notz W. (1983): On the optimality of spring balance weighing designs. The Annals of Statistics 11: 970-978.
  • Kageyama S., Saha G.M. (1983): Note on the construction of optimum chemical balance weighing designs. Ann. Inst. Statist. Mat. 35A: 447-452.
  • Neubauer G.N., Pace R.G. (2010): D-optimal (0,1)-weighing designs for eight objects. Linear Algebra and its Applications 432: 2634-2657.[WoS]
  • Masaro J., Wong C.S. (2008): Robustness of A-optimal designs. Linear Algebra and its Applications 429: 1392-1408.[WoS]
  • Pukelsheim F. (1993): Optimal Design of Experiment. John Wiley and Sons, New York.
  • Raghavarao D. (1971): Constructions and Combinatorial Problems in Designs of Experiments. John Wiley Inc., New York.
  • Shah K.R., Sinha B.K. (1989): Theory of Optimal Designs. Springer-Verlag, Berlin.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.doi-10_2478_bile-2013-0023
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