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\item Brief literature review:   \begin{itemize}  \item The rapid drop in sequencing cost and the availability of whole genome sequencing are enabling rapid advances in genomic research.  \item Rare genetic variants can play major roles in influencing complex traits. \cite{Pritchard_2001} \cite{Schork_2009} \cite{Pritchard_2001, Schork_2009}  \item The rare susceptibility variants identified through sequencing have potential to explain some of the 'missing heritability' of complex traits. \cite{Eichler_2010}.  \item However, standard methods to test for association with single genetic variants are underpowered for rare variants unless sample sizes are very large. \cite{Li_2008}   
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\begin{enumerate}  \item Simulating the population  \begin{itemize}  \item fastsimcoal2\cite{Excoffier_2011}  \cite{Excoffier_2013} \item Logistic regression model of disease status  \end{itemize}  \item Sampling case-control data