Table 4 Distributions used to simulate Poisson log-normal data
From: Cross-study analyses of microbial abundance using generalized common factor methods
| Â | Group 1 | Group 2 |
|---|---|---|
\(\log \Lambda _{is}\sim \mathcal {N}(\mu _{is},\Sigma _s)\) | \(\mu _{ij1}\sim \mathcal {N}(4, 3^2)\) | \(\mu _{ij2}\sim \mathcal {N}(3,2^2)\) |
\(X_{ijs}\sim \text {Poisson}(\gamma _{is}\Lambda _{ijs})\) | \(\gamma _{i1}\sim \text {Gamma}(7, 1)\) | \(\gamma _{i2}\sim \text {Gamma}(10, 1)\) |