On the General Gauss-Markov Model for Experiments in Block Designs

Tadeusz Caliński

Biometrical Letters (2012)

  • Volume: 49, Issue: 1, page 1-36
  • ISSN: 1896-3811

Abstract

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The main estimation and hypothesis testing results related to the Gauss- Markov model, in its general form, are recalled and the application of these results to the analysis of experiments in block designs is considered. Special attention is given to the randomization-derived model for a general block design, and for a proper block design in particular. The question whether the randomization-derived model can be considered as a particular general Gauss-Markov model is discussed. It is indicated that the former, as a mixed model, is in fact an extension of the general Gauss-Markov model. Thus, the analysis based on the randomization-derived model requires a more extended methodical approach. The present paper has been inspired by one of the last papers of Professor Wiktor Oktaba.

How to cite

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Tadeusz Caliński. "On the General Gauss-Markov Model for Experiments in Block Designs." Biometrical Letters 49.1 (2012): 1-36. <http://eudml.org/doc/268753>.

@article{TadeuszCaliński2012,
abstract = {The main estimation and hypothesis testing results related to the Gauss- Markov model, in its general form, are recalled and the application of these results to the analysis of experiments in block designs is considered. Special attention is given to the randomization-derived model for a general block design, and for a proper block design in particular. The question whether the randomization-derived model can be considered as a particular general Gauss-Markov model is discussed. It is indicated that the former, as a mixed model, is in fact an extension of the general Gauss-Markov model. Thus, the analysis based on the randomization-derived model requires a more extended methodical approach. The present paper has been inspired by one of the last papers of Professor Wiktor Oktaba.},
author = {Tadeusz Caliński},
journal = {Biometrical Letters},
keywords = {block designs; estimation; general Gauss-Markov model; hypothesis testing; mixed model; randomization-derived model},
language = {eng},
number = {1},
pages = {1-36},
title = {On the General Gauss-Markov Model for Experiments in Block Designs},
url = {http://eudml.org/doc/268753},
volume = {49},
year = {2012},
}

TY - JOUR
AU - Tadeusz Caliński
TI - On the General Gauss-Markov Model for Experiments in Block Designs
JO - Biometrical Letters
PY - 2012
VL - 49
IS - 1
SP - 1
EP - 36
AB - The main estimation and hypothesis testing results related to the Gauss- Markov model, in its general form, are recalled and the application of these results to the analysis of experiments in block designs is considered. Special attention is given to the randomization-derived model for a general block design, and for a proper block design in particular. The question whether the randomization-derived model can be considered as a particular general Gauss-Markov model is discussed. It is indicated that the former, as a mixed model, is in fact an extension of the general Gauss-Markov model. Thus, the analysis based on the randomization-derived model requires a more extended methodical approach. The present paper has been inspired by one of the last papers of Professor Wiktor Oktaba.
LA - eng
KW - block designs; estimation; general Gauss-Markov model; hypothesis testing; mixed model; randomization-derived model
UR - http://eudml.org/doc/268753
ER -

References

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