Some remarks on experimental design

Marie Hušková; Jan Ámos Víšek; Dana Vorlíčková

Aplikace matematiky (1986)

  • Volume: 31, Issue: 1, page 19-26
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Hušková, Marie, Víšek, Jan Ámos, and Vorlíčková, Dana. "Some remarks on experimental design." Aplikace matematiky 31.1 (1986): 19-26. <http://eudml.org/doc/15432>.

@article{Hušková1986,
abstract = {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.},
author = {Hušková, Marie, Víšek, Jan Ámos, Vorlíčková, Dana},
journal = {Aplikace matematiky},
keywords = {quadratic regression; estimation of parameters; experimental design; quadratic regression; estimation of parameters},
language = {eng},
number = {1},
pages = {19-26},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some remarks on experimental design},
url = {http://eudml.org/doc/15432},
volume = {31},
year = {1986},
}

TY - JOUR
AU - Hušková, Marie
AU - Víšek, Jan Ámos
AU - Vorlíčková, Dana
TI - Some remarks on experimental design
JO - Aplikace matematiky
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 1
SP - 19
EP - 26
AB - 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.
LA - eng
KW - quadratic regression; estimation of parameters; experimental design; quadratic regression; estimation of parameters
UR - http://eudml.org/doc/15432
ER -

References

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  1. A. Pázman, Fundaments of Optimization of Experiment, (in Slovak). Bratislava 1980. (1980) 
  2. V. V. Fedorov, Theory of Optimal Experiment, (Design of Regression Experiments) (in Russian). Moskva 1971. (1971) MR0403102
  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. (1969) 

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