Let me know if this is off topic, I considered stack exchange, but I was worried about the domain specific content.
I am performing association tests between a binary disease outcome a large set of multiallelic sites, each having m alleles with Allele representing the allelic dosage (0,1,2). I am leaving the most common allele out of the model to make it reference (m - 1).
I am including sex and the first K principal components (PCs) as covariates.
Each multiallelic sites is tested for association with the disease separately. This is what I am using to describe testing the association of a single multiallelic sites with the disease:
\begin{equation*}
\text{log}(odds of disease) = \beta_0 + \left(\sum\limits_{j=1}^{m-1}\beta_{1,j}Allele_j\right) + \left(\sum\limits_{k=1}^{K} \beta_{2,k}PC_k\right) + \beta_{3}Sex
\end{equation*}
Does this follow a convention that makes sense? If not are there adjustments that could make it more clear? Thank you.
