Table 1.

Count matrix $\mathbf{K}\in {ℝ}^{m\times N}$ of n₁ specimens, n₂ controls and m taxa, where K_{i j} are the reads of taxon I in j th specimen and $K_{il}^0$ denote the number of reads of taxon i in lth negative control.

	Specimen1	Specimen2	…	${\text{ Specimen}}_{n_1}$	${\mathrm{Control}}_{\left(n_1+1\right)}$	${\mathrm{Control}}_{\left(n_1+2\right)}$	…	ControlN
Taxa1	K 11	K 12	…	$K_{1n_1}$	$K_{1\left(n_1+1\right)}^0$	$K_{1\left(n_1+2\right)}^0$	…	$K_{1N}^0$
Taxa2	K 21	K 22	…	$K_{2n_1}$	$K_{2\left(n_1+1\right)}^0$	$K_{2\left(n_1+2\right)}^0$	…	$K_{2N}^0$
⋮	⋮					⋮		⋮
Taxai	K i1	K i2	…	$K_{i{n}_1}$	$K_{i\left(n_1+1\right)}^0$	$K_{i\left(n_1+2\right)}^0$	…	$K_{iN}^0$
⋮	⋮					⋮		⋮
Taxam	K m1	K m2	…	$K_{m{n}_1}$	$K_{m\left(n_1+1\right)}^0$	$K_{m\left(n_1+2\right)}^0$	…	$K_{mN}^0$