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Open access

Tadeusz Calinski and Idzi Siatkowski

Abstract

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.

Open access

Tadeusz Caliński and Idzi Siatkowski

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.

Open access

Zbigniew Sobek, Anna Nienartowicz-Zdrojewska, Jolanta Różańska-Zawieja and Idzi Siatkowski

Summary

For over 2.5 million dairy cows subject to assessment in Poland in 2005–2010, gestation length was analyzed. This trait follows a normal distribution, and it was found that the acceptable upper limit of gestation length for the Montbéliard and Simental breeds was 306 days, this being significantly different from other breeds. For the remaining dairy cattle breeds the value was 298 days. For cows with gestation length exceeding these limiting values, parentage control would be advisable.

Open access

Alicja Szabelska-Beręsewicz, Agnieszka Bilska, Katarzyna Waszkowiak and Idzi Siatkowski

Abstract

This paper concerns methods of choosing appropriate models for longitudinal studies. Attention is paid to three criteria: the marginal Akaike Information Criterion (mAIC), the conditional Akaike Information Criterion (cAIC), and the corrected conditional Akaike Information Criterion (ccAIC). We consider these criteria based on an example concerning the effect of storage time and addition of flaxseed (Linum usitatissimum L.) preparations (i.e. ground flaxseeds, defatted flaxseed meal and flaxseed ethanolic extract) on changes in lipid oxidation and fatty acid composition during the storage of liver pâté with partial substitution of fat with flax oil.