Design and analysis of unreplicated plant breeding trials

早期植物育种试验通常是根据不可复制的设计进行的。复制检查可用于错误控制，例如，在基于不完整块设计的增强设计中，用于使用未复制条目增强的检查。传统的增强设计需要在基因型上花费大量资源，而这些基因型本身并不是我们感兴趣的。因此，有人建议用部分复制的条目替换检查，从而导致所谓的准备设计。在目前的建议中，我们建议结合这两种想法来开发我们所谓的增强准备设计。当要在多个地点进行试验时，会出现一个重要的设计问题。那么主要的挑战是如何增加块以平衡成对并发的数量。这项任务可以用不同的方法来解决，基于使用（-阵列），这是众所周知的(-设计的基础，在完全复制的实验。此外，我们还探讨了在空间模型分析时设计的细化。设计对基因型-环境相互作用的鲁棒性也进行了研究。

Early generation plant breeding trials are often laid out according to unreplicated designs. Replicated checks may be used for error control, for example in augmented designs based on an incomplete block design for checks which are augmented with unreplicated entries. Traditional augmented designs require considerable resources to be spent on genotypes that are not themselves of interest. Therefore, it has been suggested to replace checks with partially replicated entries, leading to so-called prep designs. In the present proposal we suggest combining both ideas to develop what we call augmented prep designs. A non-trivial design problem arises when trials are to be performed at multiple locations. The main challenge then is how to augment the blocks so as to balance the number of pairwise concurrences. This task can be tackled in different ways based on the use (-arrays which are well-known as the basis for (-designs in fully replicated experiments. Furthermore, we also explore the refinement of designs when analysis by spatial models is envisioned. Robustness of the designs to the presence of genotype-environment interaction is also investigated.