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.
[Conference Paper]
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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 |
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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: | 05 Aug 2020 16:18 |
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