# A unified model for functional and statistical epistasis and its application in quantitative trait loci analysis

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A unified model for functional and statistical epistasis and its application in quantitative trait loci analysis
Authors: José M. Álvarez-Castro, Örjan Carlborg
Citation: Genetics 176 : 1151-1167. 2007 June
DOI: 10.1534/genetics.106.067348.
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A unified model for functional and statistical epistasis and its application in quantitative trait loci analysis presents a framework for analysis of genetic interactions (epistasis). The call their framework "natural and orthogonal interactions" (NOIA).

The model is based on Zeng et al.[1]

The present the "genetic-effect design matrix":

$\mathbf{S} = \left[\begin{matrix} 1 & 0 & 0 \\ 1 & 1 & 1 \\ 1 & 2 & 0 \end{matrix}\right]$

##  References

1. Modeling quantitative trait loci and interpretation of models