The FAUST null hypothesis

The FAUST algorithm wishes to test the following null hypothesis:

\[H_0: \mathrm{Prob(F_e > F_c) = Prob(F_c > F_e)}\]

where \(F_e\) is a factor of expansion targeting an experimental guide (i.e. with a genuine genetic target), and \(F_c\) is a factor of expansion targeting a control guide (i.e., targeting an intergenic region, or targeting nothing in the genome at all).

Within FAUST, \(F\) is calculated by computing a fold change of counts between an input sample and an output sample.