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Robustness of the simple parametric bootstrap method for the additive main effects and multiplicative interaction (AMMI) model

Forkman, Johannes and Piepho, H-P (2015). Robustness of the simple parametric bootstrap method for the additive main effects and multiplicative interaction (AMMI) model. I/In: The tenth working seminar on statistical methods in variety testing, 30 June - 4 July, 2014, Bedlewo, Poland.
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Abstract

The additive main effects and multiplicative interaction (AMMI) model is a statistical model that is used for analysis of series of crop variety trials. This model can be fitted to a matrix of observations from a set of genotypes or crop varieties that have been investigated in a set of varying environments or locations. The model includes additive effects of genotypes and environments, and multiplicative effects of genotype-by-environment interaction. The multiplicative interaction terms are obtained through singular value decomposition. This paper describes the simple parametric bootstrap method, which can be used for testing significance of multiplicative terms. The simple parametric bootstrap method assumes that observations are normally distributed. Through simulation it is confirmed that the simple parametric bootstrap method performs well provided that the assumptions of normality and homogeneity of variance are fulfilled. However, when the distribution is non-normal, the frequency of Type I error is not maintained at the nominal significance level. The results of the simulation study suggest that a non-parametric bootstrap method would be needed.

Authors/Creators:Forkman, Johannes and Piepho, H-P
Title:Robustness of the simple parametric bootstrap method for the additive main effects and multiplicative interaction (AMMI) model
Series/Journal:Biuletyn Oceny odmian (0137-155X)
Year of publishing :2015
Volume:34
Page range:11-18
Number of Pages:8
Place of Publication:Slupia wielka
Publisher:The Research Centre for Cultivar Testing, Poland
ISBN for printed version:978-83-86224-08-1
ISSN:0137-155X
Language:English
Publication Type:Conference Paper (Paper)
Refereed:Yes
Article category:Other scientific
Version:Accepted version
Full Text Status:Public
Subjects:(A) Swedish standard research categories 2011 > 1 Natural sciences > 101 Mathematics > 10106 Probability Theory and Statistics
(A) Swedish standard research categories 2011 > 4 Agricultural Sciences > 401 Agricultural, Forestry and Fisheries > Agricultural Science
Keywords:statistical models, genotypes, environments, simple parametric bootstrap method, multiplicative terms, significance
URN:NBN:urn:nbn:se:slu:epsilon-e-5117
Permanent URL:
http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon-e-5117
ID Code:15619
Faculty:NJ - Fakulteten för naturresurser och jordbruksvetenskap
Department:(NL, NJ) > Dept. of Crop Production Ecology
Deposited By: SLUpub Connector
Deposited On:20 Nov 2018 09:59
Metadata Last Modified:20 Nov 2018 09:59

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