Biometrical Letters

ISSN:1896-3811

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Volume (55) Number 2 pp. 147-178

Tadeusz Caliński 1, Idzi Siatkowski 1

1Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, 60-637, Poznań, Poland

On a new approach to the analysis of variance for experiments with orthogonal block structure.

Summary

The main estimation and hypothesis testing procedures are presented for experiments conducted in nested block designs of a certain type. It is shown that, under appropriate randomization, these experiments have the convenient orthogonal block structure. Due to this property, the analysis of experimental data can be performed in a comparatively simple way. Certain simplifying procedures are indicated. The main advantage of the presented methodology concerns the analysis of variance and related hypothesis testing procedures. Under the adopted approach one can perform these analytical methods directly, not by combining the results from analyses based on stratum submodels. The application of the presented theory is illustrated by three examples of real experiments in relevant nested block designs. The present paper is the second in the planned series concerning the analysis of experiments with orthogonal block structure.

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

DOI: 10.2478/bile-2018-0011

For citation:

MLA Caliński, Tadeusz, and Idzi Siatkowski. "On a new approach to the analysis of variance for experiments with orthogonal block structure.." Biometrical Letters 55.2 (2018): 147-178. DOI: 10.2478/bile-2018-0011
APA Caliński, T., & Siatkowski, I. (2018). On a new approach to the analysis of variance for experiments with orthogonal block structure.. Biometrical Letters 55(2), 147-178 DOI: 10.2478/bile-2018-0011
ISO 690 CALIńSKI, Tadeusz, SIATKOWSKI, Idzi. On a new approach to the analysis of variance for experiments with orthogonal block structure.. Biometrical Letters, 2018, 55.2: 147-178. DOI: 10.2478/bile-2018-0011