Geodesic
A-optimal biased spring balance weighing design
Kybernetika, Tome 47 (2011) no. 6, pp. 893-901.

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In this paper we study the problem of estimation of individual measurements of objects in a biased spring balance weighing design under assumption that the errors are uncorrelated and they have different variances. The lower bound for the variance of each of the estimated measurements for this design and the necessary and sufficient conditions for this lower bound to be attained are given. The incidence matrices of the balanced incomplete block designs are used for construction of the A-optimal biased spring balance weighing design.
Classification : 62K05, 62K10
Keywords: A-optimal design; biased design; spring balance weighing design 
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     author = {Graczyk, Ma{\l}gorzata},
     title = {A-optimal biased spring balance weighing design},
     journal = {Kybernetika},
     pages = {893--901},
     publisher = {mathdoc},
     volume = {47},
     number = {6},
     year = {2011},
     mrnumber = {2907849},
     zbl = {06047593},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2011__47_6_a6/}
}
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Graczyk, Małgorzata. A-optimal biased spring balance weighing design. Kybernetika, Tome 47 (2011) no. 6, pp. 893-901. http://geodesic.mathdoc.fr/item/KYB_2011__47_6_a6/