Some remarks on experimental design
Applications of Mathematics, Tome 31 (1986) no. 1, pp. 19-26
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The paper deals with the experimental design which is optimal in the following sense: it satisfies the cost requirements simultaneously with a satisfactory precision of estimates. The underlying regression model is quadratic. The estimates of unknown parameters of the model are explicitly derived.
The paper deals with the experimental design which is optimal in the following sense: it satisfies the cost requirements simultaneously with a satisfactory precision of estimates. The underlying regression model is quadratic. The estimates of unknown parameters of the model are explicitly derived.
DOI :
10.21136/AM.1986.104181
Classification :
62J02, 62J05, 62K05
Keywords: quadratic regression; estimation of parameters; experimental design
Keywords: quadratic regression; estimation of parameters; experimental design
Hušková, Marie; Víšek, Jan Ámos; Vorlíčková, Dana. Some remarks on experimental design. Applications of Mathematics, Tome 31 (1986) no. 1, pp. 19-26. doi: 10.21136/AM.1986.104181
@article{10_21136_AM_1986_104181,
author = {Hu\v{s}kov\'a, Marie and V{\'\i}\v{s}ek, Jan \'Amos and Vorl{\'\i}\v{c}kov\'a, Dana},
title = {Some remarks on experimental design},
journal = {Applications of Mathematics},
pages = {19--26},
year = {1986},
volume = {31},
number = {1},
doi = {10.21136/AM.1986.104181},
mrnumber = {0836799},
zbl = {0585.62127},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104181/}
}
TY - JOUR AU - Hušková, Marie AU - Víšek, Jan Ámos AU - Vorlíčková, Dana TI - Some remarks on experimental design JO - Applications of Mathematics PY - 1986 SP - 19 EP - 26 VL - 31 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104181/ DO - 10.21136/AM.1986.104181 LA - en ID - 10_21136_AM_1986_104181 ER -
[1] A. Pázman: Fundaments of Optimization of Experiment. (in Slovak). Bratislava 1980.
[2] V. V. Fedorov: Theory of Optimal Experiment. (Design of Regression Experiments) (in Russian). Moskva 1971. | MR
[3] P. F. Andrukovič T. I. Golikova S. G. Kostina: Designs of second order on a hypercube whose properties are close to D-optimal. (in Russian). In: New Ideas of Experimental Design. Nauka, Moskva 1969.
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