<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper provides estimation and hypothesis testing procedures for experiments in split-plot designs. These experiments have been shown to have a convenient orthogonal block structure when properly randomized. Due to this property, the analysis of experimental data can be carried out in a relatively simple manner. Relevant simplification procedures are indicated. According to the adopted approach, the analysis of variance and hypothesis testing procedures can be performed directly, rather than by combining the results of analyses based on some stratum submodels. The practical application of the presented theory is illustrated by examples of real experiments in appropriate split-plot designs. The present paper is the fourth in the planned series of publications on the analysis of experiments with orthogonal block structure.</p></abstract>

This paper provides estimation and hypothesis testing procedures for experiments in split-plot designs. These experiments have been shown to have a convenient orthogonal block structure when properly randomized. Due to this property, the analysis of experimental data can be carried out in a relatively simple manner. Relevant simplification procedures are indicated. According to the adopted approach, the analysis of variance and hypothesis testing procedures can be performed directly, rather than by combining the results of analyses based on some stratum submodels. The practical application of the presented theory is illustrated by examples of real experiments in appropriate split-plot designs. The present paper is the fourth in the planned series of publications on the analysis of experiments with orthogonal block structure.

On a new approach to the analysis of variance for experiments with orthogonal block structure. IV. Experiments in split-plot designs

Department of Mathematical and Statistical Methods

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper provides estimation and hypothesis testing procedures for experiments in split-plot designs. These experiments have been shown to have a convenient...

On a new approach to the analysis of variance for experiments with orthogonal block structure. IV. Experiments in split-plot designs

Published Online: Dec 31, 2020

Page range: 151 - 175

DOI: https://doi.org/10.2478/bile-2020-0011

Keywords
analysis of variance, estimation, hypothesis testing, orthogonal block structure, randomization-derived model, split-plot designs

© 2020 Tadeusz Caliński et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On a new approach to the analysis of variance for experiments with orthogonal block structure. IV. Experiments in split-plot designs

Published Online: Dec 31, 2020

Page range: 151 - 175

DOI: https://doi.org/10.2478/bile-2020-0011

Keywordsanalysis of variance, estimation, hypothesis testing, orthogonal block structure, randomization-derived model, split-plot designs

© 2020 Tadeusz Caliński et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
analysis of variance, estimation, hypothesis testing, orthogonal block structure, randomization-derived model, split-plot designs