CMMSE: a nonparametric test for grouping factor levels: an application to cocoa breeding experiments in acidic soils

Kwaku Opoku-Ameyaw, Celia Nunes, Manuel L. Esquivel, J. T. Mexia

Research output: Contribution to journalArticlepeer-review

Abstract

Nonparametric tests can often be applied in many important problems, since they hold under more general conditions than parametric tests. In this work we propose a nonparametric test for grouping of factor levels. We apply that test to a cocoa breeding experiment in Ghana, in which twelve cocoa varieties were compared. There were three groups of varieties, two of which have a common ascendant, and we intend to test if this grouping is significant. The cocoa breeding experiment was carried out in four types of soils. All these types of soils are acidic, so resistance to low pH is an important goal of the plant breeding. The obtained results suggest that the grouping is significant for the most acidic soil.
Original languageEnglish
Number of pages21
JournalJournal Of Mathematical Chemistry
Early online date9 Dec 2022
DOIs
Publication statusPublished - Mar 2023

Keywords

  • Acidic soils
  • Cocoa breeding database
  • Edgeworth series expansion
  • Grouping of factor levels
  • Hypothesis intersection
  • Nonparametric test

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