Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-23T21:55:25.184Z Has data issue: false hasContentIssue false
  • English
  • Français

On testing for seed sample heterogeneity with the exact probability distribution of the germination count range

Published online by Cambridge University Press:  30 April 2020

Anderson Rodrigo da Silva Open the ORCID record for Anderson Rodrigo da Silva [Opens in a new window]
Anderson Rodrigo da Silva*
Affiliation:
Statistics and Geoprocessing Lab., Instituto Federal Goiano, Rod. Geraldo S. Nascimento, km 2.5, Urutaí CEP 75790-000, GO, Brazil
*
Author for correspondence: Anderson Rodrigo da Silva, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Seed lot heterogeneity is often evaluated through the range between germination percentages of four seed samples, considering normal and binomial approximations for calculating the tolerated range (S). In this paper, an exact test for the germination count range (R) is derived based on the hypergeometric and the binomial probability model for germination count. Through Monte Carlo simulations, the empirical distribution of R is built to evaluate the quantiles of the exact distributions. Moreover, a power analysis is performed by simulation. Sample size and germination rate effects are evaluated. In lots with a high germination rate, the proposed test based on the hypergeometric model is about 20% more powerful than the test based on the S-value. A table containing the critical values is presented and recommended to be used in off-range heterogeneity testing.

Keywords

germination testhypergeometric distributionnormal seedlingsR-valueS-value
Type
Technical Update
Information
Seed Science Research , Volume 30 , Issue 1 , March 2020 , pp. 59 - 63
Check for updates
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arnold, BC, Balakrishnan, N and Nagaraja, HN (2008) A first course in order statistics. Philadelphia, SIAM.CrossRefGoogle Scholar
Herman, RA and Robbins, KR (2013) Use of hypergeometric distribution for estimating adventitious presence of GM traits in small seed lots may be misleading. Seed Science Research 23, 211–212.CrossRefGoogle Scholar
ISTA (2017) International rules for seed testing. Bassersdorf, Switzerland, International Seed Testing Association.Google Scholar
Laffont, J-L, Hong, B, Kuo, B-J and Remund, KM (2019) Exact theoretical distributions around the replicate results of a germination test. Seed Science Research 29, 64–72.CrossRefGoogle Scholar
Miles, SR (1963) Handbook of tolerances and measures of precision for seed testing. Proceedings of the International Seed Testing Association 28, 681–685.Google Scholar
Piepho, H-P, Kruse, M and Deplewski, PM (2018) Expected variance between seed germination test replicate results. Seed Science and Technology 46, 197–209.CrossRefGoogle Scholar
Supplementary material: File

da Silva supplementary material

Appendices A-B

Download da Silva supplementary material(File)
File 16.2 KB