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Also, genomic additive relationships and genomic epistasis additive × additive relationships did improve predictions in most environments (and their combinations), as compared with models that only include pedigree additive or genomic additive relationships.
Results show that including pedigree additive relationships and pedigree epistasis additive × additive relationships did improve prediction in some environments or combinations of environments.
MARS approximates additive relationships better than CARTs and has the ability to separate main effects from the interaction effects.
Additive relationships are relationships between gene substitution effects and these can be defined either within populations or across populations [ 12].
A Deli and A La Mé were matrices of additive relationships among Deli and La Mé individuals computed from pedigrees.
Thus, the genomic-derived additive and additive × additive relationships can be combined into a single model by extending (5A) to a model with two random effects, one with gM∼ N 0, G0M⊗ AM), representing a regression on genomic additive relationships, and the other representing a regression on genomic epistasis additive × additive relationships,.
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In addition to this, an additive relationship matrix (mice.A) is provided; this was computed using the R-package pedigreemm (Bates and Vazquez 2009; Vazquez et al. 2010).
Quadratic phase coupling (QPC) is the additive relationship between different components' frequencies and phases.
The study also assumed a linear additive relationship between the explanatory and dependent variable.
There was a less than additive relationship in all four binary mixtures.
The results indicated a less than additive relationship among the four PFAAs.
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