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Table 1 Models and parameters for synthetic data generation

From: Joint between-sample normalization and differential expression detection through 0-regularized regression

ieunif(5,10)

length of gene i

\(\alpha _{i} \sim \mathcal {N}(0,1)\)

other log scaling factors of gene i

βi=0

log-fold change for non-DE genes

\(\beta _{i} \sim \mathcal {N}(2,1)\)

log-fold change for up-regulated DE genes

\(\beta _{i} \sim \mathcal {N}(-2,1)\)

log-fold change for down-regulated DE genes

\(x_{j} \sim \mathcal {N}(0,1)\)

covariates for sample j

Njunif(2,3)×106

library size of sample j

\(d_{j} \sim \mathcal {N}(0, 1)\)

other log scaling factors of sample j

\(\mu _{ij} = N_{j} \frac {\ell _{i}}{\sum _{i=1}^{m} \ell _{i}} \mathrm {e}^{\alpha _{i} + \beta _{i} x_{j} + d_{j}}\)

mean read counts of gene i in sample j