How the design of an experiment influences the nonsensitiveness regions in models with variance components
Lubomír Kubáček; Ludmila Kubáčková; Eva Tesaříková; Jaroslav Marek
Applications of Mathematics (1998)
- Volume: 43, Issue: 6, page 439-460
- ISSN: 0862-7940
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topKubáček, Lubomír, et al. "How the design of an experiment influences the nonsensitiveness regions in models with variance components." Applications of Mathematics 43.6 (1998): 439-460. <http://eudml.org/doc/33020>.
@article{Kubáček1998,
abstract = {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.},
author = {Kubáček, Lubomír, Kubáčková, Ludmila, Tesaříková, Eva, Marek, Jaroslav},
journal = {Applications of Mathematics},
keywords = {mixed linear model; model with variance components; nonsensitiveness region; mixed linear models; nonsensitiveness regions},
language = {eng},
number = {6},
pages = {439-460},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {How the design of an experiment influences the nonsensitiveness regions in models with variance components},
url = {http://eudml.org/doc/33020},
volume = {43},
year = {1998},
}
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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 6
SP - 439
EP - 460
AB - 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.
LA - eng
KW - mixed linear model; model with variance components; nonsensitiveness region; mixed linear models; nonsensitiveness regions
UR - http://eudml.org/doc/33020
ER -
References
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- Effect of changes of the covariance matrix parameters on the estimates of the first order parameters, Contr. Geoph. Inst. Slov. Acad. Sci. 20 (1990), 7–19. (1990)
- Sensitiveness and non-sensitiveness in mixed linear models, Manuscripta geodaetica 16 (1991), 63–71. (1991)
- Criterion for an approximation of variance components in regression models, Acta Universitatis Palackianae Olomucensis, Fac. rer. nat., Mathematica 34 (1995), 91–108. (1995) MR1447258
- Linear model with inaccurate variance components, Applications of Mathematics 41 (1996), 433–445. (1996) MR1415250
- Mathematical Statistics, J. Wiley & Sons, Inc., New York, London, 1962. (1962) Zbl0173.45805MR0144404
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