Ecological Agriculture: Development of Precision Cultivation and Management TechnologyDepartment of Agronomy / Kuo, Bo-Jein / Professor
生態農業:農業精準栽培管理技術開發【農藝學系郭寶錚教授】

論文篇名 Exact theoretical distributions around the replicate results of a germination test
期刊名稱 SEED SCIENCE RESEARCH
發表年份,卷數,起迄頁數 201929 (1): 64-72
作者 Laffont, Jean-Louis*; Hong, Bonnie; Kuo, Bo-Jein(郭寶錚); Remund, Kirk M.
DOI 10.1017/S0960258519000011
中文摘要 國際種子檢查協會 (International Seed Testing Association, ISTA) 詳細規範種子發芽試驗的流程,其中容許度 (tolerance) 以及計算重複試驗下觀測變異與理論變異的比值來決定發芽試驗結果是否可被接受,本研究推導上述比值的理論分佈,並據以修正ISTA所提的容許度參考表,另也提出對種子發芽試驗中不足變異的不同結論。
英文摘要 Many seed quality tests are conducted by first randomly assigning seeds into replicates of a given size. The replicate results are then used to check whether or not any problems occur in the realization of the test. The two main tools developed for this verification are the ratio of the observed variance of the replicate results to a theoretical variance and the tolerance for the range of the results. In this paper, we derive the theoretical distribution and its related properties of the sequence of numbers of seeds with a given quality attribute present in the replicates. From these theoretical results, we revisit the two quality checking tools widely used for the germination test. We show a precaution to be taken when relying on the variance ratio to check for under- or over-dispersion of the replicate results. This has led to the development of tables providing credible intervals of the variance ratio. The International Seed Testing Association tolerance tables for the range of the results are also compared with tolerances computed from the exact theoretical distribution of the range, leading us to recommend a revision of these tables.