Vol: 33 Page: 181

Authors:
Wiesław Mądry
Anna Rajfura

Title:
 Statistical analysis of stability measures using genotype x environment data. Part I. Mixed model of Sheffe-Calinski and a joint regression model

Language: Polish

Keywords:
F test
genotype by environment data
least squares estimators
mixed model of Scheffe-Caliński
mixed joint regression model of Caliński-Kaczmarek
multi-environment trials (MET)
stability analysis

Summary:
In the paper consisted of three parts, evaluating properties and practical usefulness of Scheffé- Calinski’s model (S-C model), Shukla’s model (Sh model) and their extensions as joint regression models are presented. Estimators and tests for parameters (stability measures and others) of the models and their using in stability analysis of genotypes are considered and discussed. The aim of this paper, as Part I, is to present theoretical backgrounds of S-C model and a joint regression model which was called the model of Calinski-Kaczmarek (C-K model). The unbiased and most effective estimators and exact F tests for stability measures and other parameters in the considered models have been developed by least squares method.