The differential expression algorithm

Differential Expression for Single Cell performs Mann-Whitney U tests (also known as Wilcoxon rank-sum tests) for each feature.

If data is not normalized using Normalize Single Cell Data, the raw expression values are used. In this situation, results should be interpreted with caution, as differences could be solely driven by library size and other sample preparation specific factors.

When the data is normalized using Normalize Single Cell Data, the following corrected counts are used:

$\displaystyle c_i = \min \left( 1, \left\lfloor \frac{y_i - \hat{y_i}}{\sqrt{\h...
...t{y_i})}} \sqrt{\hat{y_o}(1+\gamma\hat{y_o})} + \hat{y_o} \right\rfloor \right)$

where

The test is not performed for genes where the model fit has failed.