Fisher's ideas and the design of field experiments in agronomy and plant breeding

[2605.29758] Fisher's ideas and the design of field experiments in agronomy and plant breeding Skip to main content Search Submit Donate Log in Statistics > Methodology arXiv:2605.29758 (stat) [Submitted on 28 May 2026 ( v1 ), last revised 28 Aug 2026 (this version, v2)] Title: Fisher's ideas and the design of field experiments in agronomy and plant breeding Authors: Hans-Peter Piepho View PDF Abstract: R. A. Fisher was one of the greatest scientists of the last century. He made many ground-breaking contributions, so many indeed that it seems almost impossible to list all of them. His revolutionary contributions to the design of experiments can mostly be traced to the early part of his academic career, and they are inextricably linked to his involvement with agricultural field experiments at Rothamsted Experiment Station. In this talk I will review Fisher's key ideas on experimental design and relate them to some of the work I am involved in, most of which directly focuses on field experiments in agriculture. Topics covered include systematic designs, row-column designs, augmented row-column designs, multi-environment trials, partially replicated designs, optimal allocation of trials to zones in sub-divided target populations of environments, and the connection of trialling systems across countries. Comments: 31 pages, 2 tables Subjects: Methodology (stat.ME) ACM classes: G.3 Cite as: arXiv:2605.29758 [stat.ME] (or arXiv:2605.29758v2 [stat.ME] for this version) https://doi.org/10.48550/arXiv.2605.29758 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Hans-Peter Piepho [ view email ] [v1] Thu, 28 May 2026 11:06:59 UTC (278 KB) [v2] Fri, 28 Aug 2026 07:05:30 UTC (281 KB) Full-text links: Access Paper: View PDF view license Current browse context: stat.ME < prev | next > new | recent | 2026-05 Change to browse by: stat References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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