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In many works in the fields of agronomy, agriculture and biology, there is a need to study the impact of cultivar (genotype), agricultural technology (crop management intensity levels), and the locations (agro-ecostems or environment) on the yield of plants. PDO experiments allow such studies in Poland. In order to be properly carried out the analysis of this data must be based on statistical methods on the basis of the assumed purpose. Some studies examine the impact of the locations on crop varieties and then examine the effect of GL (GxL) interaction (genotype x location). In other studies, the researchers want to establish the impact of agricultural technology on crop varieties, e.g. in only one location. In this situation we have to deal with the classification of cultivar x crop management. There are also studies conducted to examine the impact of both the Agro-ecostyems and agricultural technology. Many authors have compared the yield of old and modern cultivars in various locations or in different crop management intensity levels (Broncourt-Hulmel et al. 2003, Derejko et al. 2011, Mądry et al. 2011, 2012). In this case we are dealing with the classification of cultivar x crop management x location. An example of such statistical analysis adjusted for 3-way classification of data from the “Post-Registration Variety Testing System (Porejestrowe Doświadczalnictwo Odmianowe i Rolnicze – acronym: PDO)” experiments for grain yield of winter wheat have been presented in this study. However, this is not strictly statistical work. It is a study resulting from a series of field experiments in Poland, the benefits of these experiments and how useful it may be with appropriate modification of statistical methods for this data on grain yield of winter wheat (Triticum aestivum L). Little research has been carried out to date on the development and adaptation of the currently used methods or development of new methods mainly for more in-depth inference (Derejko et al. 2011). The problem is also insufficient knowledge and application, resulting in rather modest achievements by foreign scientists regarding the methodology discussed. In this paper we have data from a multi-factor series of experiments, planned in the split–block design and repeated both in one growing season and over time, (McIntosh 1983).

Response of Winter wheat cultivars to the environment and crop management in post-registration multi-environment trials (PDO)