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

doi:10.1007/s10910-022-01431-x

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 journal › Article › peer-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 language	English
Number of pages	21
Journal	Journal Of Mathematical Chemistry
DOIs	https://doi.org/10.1007/s10910-022-01431-x
Publication status	Published - 9 Dec 2022

Keywords

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

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10.1007/s10910-022-01431-x

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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.",

keywords = "Acidic soils, Cocoa breeding database, Edgeworth series expansion, Grouping of factor levels, Hypothesis intersection, Nonparametric test",

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AU - Esquivel, Manuel L.

AU - Mexia, J. T.

N1 - Funding Information: This work was partially supported by national founds of FCT-Foundation for Science and Technology under UIDB/00212/2020 and UIDB/00297/2020. Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

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

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