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

100%

Caliński T.

Biometrical Letters

2012

tom 49

nr 1

1-36

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.

On a New Approach to the Analysis of Variance for Experiments with Orthogonal Block Structure.

100%

Calinski T., Siatkowski I.

Biometrical Letters

2017

tom 54

nr 2

91-122

Summary The main estimation and hypothesis testing results are presented for experiments conducted in proper block designs. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Because of this, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are introduced. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis testing procedures. Under the adopted approach one can perform them directly, not by combining results from intra-block and inter-block analyses. Application of the theory is illustrated by three examples of real experiments in proper block designs. This is the first of a projected series of papers concerning the analysis of experiments with orthogonal block structure.

Ograniczanie wyników

2 Biometrical Letters

1 Calinski T.

1 Caliński T.

1 Siatkowski I.

1 2017

1 2012

Wyniki wyszukiwania

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

On a New Approach to the Analysis of Variance for Experiments with Orthogonal Block Structure.