Skip to main content

Table 4 High gene variance is not a good indicator of cell type heterogeneity under the alternative hypothesis of zero-inflated negative binomial, because the variance can be lower under the alternative hypothesis

From: Demystifying “drop-outs” in single-cell UMI data

Alternative hypothesis Variance under H0 Variance under HA
Mixture of Poisson \(\lambda = \sum _{k}\pi _{k}\lambda _{k}\) \(\sum _{k} \pi _{k} (\lambda _{k}+\lambda _{k}^{2})-(\sum _{k}\pi _{k}\lambda _{k})^{2}\)
Negative Binomial λ \(\frac {\lambda ^{2}}{r} + \lambda \)
Zero-inflated negative binomial λ \((1-\pi _{0})^{2} \left (\frac {\lambda ^{2}}{r} + \lambda \right)\)