How the design of an experiment influences the nonsensitiveness regions in models with variance components
Applications of Mathematics, Tome 43 (1998) no. 6, pp. 439-460
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Nonsensitiveness regions for estimators of linear functions, for confidence ellipsoids, for the level of a test of a linear hypothesis on parameters and for the value of the power function are investigated in a linear model with variance components. The influence of the design of an experiment on the nonsensitiveness regions mentioned is numerically demonstrated and discussed on an example.
DOI :
10.1023/A:1023269321385
Classification :
62J05, 62J10, 62K99
Keywords: mixed linear model; model with variance components; nonsensitiveness region
Keywords: mixed linear model; model with variance components; nonsensitiveness region
@article{10_1023_A_1023269321385,
author = {Kub\'a\v{c}ek, Lubom{\'\i}r and Kub\'a\v{c}kov\'a, Ludmila and Tesa\v{r}{\'\i}kov\'a, Eva and Marek, Jaroslav},
title = {How the design of an experiment influences the nonsensitiveness regions in models with variance components},
journal = {Applications of Mathematics},
pages = {439--460},
publisher = {mathdoc},
volume = {43},
number = {6},
year = {1998},
doi = {10.1023/A:1023269321385},
mrnumber = {1652104},
zbl = {0937.62070},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1023269321385/}
}
TY - JOUR AU - Kubáček, Lubomír AU - Kubáčková, Ludmila AU - Tesaříková, Eva AU - Marek, Jaroslav TI - How the design of an experiment influences the nonsensitiveness regions in models with variance components JO - Applications of Mathematics PY - 1998 SP - 439 EP - 460 VL - 43 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1023269321385/ DO - 10.1023/A:1023269321385 LA - en ID - 10_1023_A_1023269321385 ER -
%0 Journal Article %A Kubáček, Lubomír %A Kubáčková, Ludmila %A Tesaříková, Eva %A Marek, Jaroslav %T How the design of an experiment influences the nonsensitiveness regions in models with variance components %J Applications of Mathematics %D 1998 %P 439-460 %V 43 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1023/A:1023269321385/ %R 10.1023/A:1023269321385 %G en %F 10_1023_A_1023269321385
Kubáček, Lubomír; Kubáčková, Ludmila; Tesaříková, Eva; Marek, Jaroslav. How the design of an experiment influences the nonsensitiveness regions in models with variance components. Applications of Mathematics, Tome 43 (1998) no. 6, pp. 439-460. doi: 10.1023/A:1023269321385
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