The paper studied the problem of estimating of the weights of p objects in n weighings using a chemical balance weighing design under the restriction on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given. The incidence matrices of two ternary balanced block designs which are used to construct chemical balance weighing designs satisfying these conditions are considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1016,
author = {Katarzyna Ambro\.zy and Bronis\l aw Ceranka},
title = {A note on the relations between two ternary balanced block designs and chemical balance weighing designs},
journal = {Discussiones Mathematicae Probability and Statistics},
volume = {21},
year = {2001},
pages = {5-10},
zbl = {0984.62051},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1016}
}
Katarzyna Ambroży; Bronisław Ceranka. A note on the relations between two ternary balanced block designs and chemical balance weighing designs. Discussiones Mathematicae Probability and Statistics, Tome 21 (2001) pp. 5-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1016/
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