Insensitivity region for variance components in general linear model

Hana Boháčová

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2008)

  • Volume: 47, Issue: 1, page 7-22
  • ISSN: 0231-9721

Abstract

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In linear regression models the estimator of variance components needs a suitable choice of a starting point for an iterative procedure for a determination of the estimate. The aim of this paper is to find a criterion for a decision whether a linear regression model enables to determine the estimate reasonably and whether it is possible to do so when using the given data.

How to cite

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Boháčová, Hana. "Insensitivity region for variance components in general linear model." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 47.1 (2008): 7-22. <http://eudml.org/doc/32468>.

@article{Boháčová2008,
abstract = {In linear regression models the estimator of variance components needs a suitable choice of a starting point for an iterative procedure for a determination of the estimate. The aim of this paper is to find a criterion for a decision whether a linear regression model enables to determine the estimate reasonably and whether it is possible to do so when using the given data.},
author = {Boháčová, Hana},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {linear regression model; variance components; insensitivity region},
language = {eng},
number = {1},
pages = {7-22},
publisher = {Palacký University Olomouc},
title = {Insensitivity region for variance components in general linear model},
url = {http://eudml.org/doc/32468},
volume = {47},
year = {2008},
}

TY - JOUR
AU - Boháčová, Hana
TI - Insensitivity region for variance components in general linear model
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2008
PB - Palacký University Olomouc
VL - 47
IS - 1
SP - 7
EP - 22
AB - In linear regression models the estimator of variance components needs a suitable choice of a starting point for an iterative procedure for a determination of the estimate. The aim of this paper is to find a criterion for a decision whether a linear regression model enables to determine the estimate reasonably and whether it is possible to do so when using the given data.
LA - eng
KW - linear regression model; variance components; insensitivity region
UR - http://eudml.org/doc/32468
ER -

References

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  1. Boháčová H., Heckenbergerová J., Insensitivity regions for fixed effects parameters in mixed linear model with type I constraints and calculation problems linked with them, In: Forum Statisticum Slovacum 6/2007, ISSN 1336-7420, (in Czech). 
  2. Ebel S., Alert D., Schaefer U., Calibration in TLC/HPTLC using the Michaelis-Menten function, Chromatographia 1/1984. (1984) 
  3. Humak K. M. S.: Statistischen Methoden der Modellbildung Band I, Statistische Inferenz für lineare Parameter., Akademie–Verlag, Berlin, , 1977. (1977) MR0464503
  4. Kubáček L., Kubáčková L.: Statistika a metrologie., Vyd. University Palackáho, Olomouc, , 2000. 
  5. Rao C. R., Kleffe J.: Estimation of Variance Components, Application., North-Holland, Amsterdam–New York–Oxford–Tokyo, , 1988. (1988) MR0933559
  6. Rényi A.: Probability theory., Akadémiai Kiadó, Budapest, , 1970. (1970) 

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