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Hušková, Marie ; Víšek, Jan Ámos ; Vorlíčková, Dana
Some remarks on experimental design. (English). Aplikace matematiky, vol. 31 (1986), issue 1, pp. 19-26
MSC: 62J02, 62J05, 62K05 | MR 0836799 | Zbl 0585.62127 | DOI: 10.21136/AM.1986.104181
Keywords:
quadratic regression; estimation of parameters; experimental design
Summary:
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.
References:
[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 0403102
[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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