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Update README.rst
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quattro committed Jun 30, 2023
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Expand Up @@ -77,7 +77,7 @@ where $N_i$ is the sample size for the $i^{th}$ GWAS , $\\mu$ is the intercept
heterogeneity in statistical power across studies with precision scalar .
Given $Z = \\{Z_i\\}^n_{i=1}$, and model parameters $L$, $F$, $\\mu$, $\\tau$, we can compute the likelihood as

$$\\mathcal{L}(L, F, \\mu, \\tau |Z) = \\prod_i \\mathcal{N}_p ( \\sqrt{N_i} (L f_i + \\mu), \\tau^{-1} I_p)$$
$$\\mathcal{L}(L, F, \\mu, \\tau | Z) = \\prod_i \\mathcal{N}_p ( \\sqrt{N_i} (L f_i + \\mu), \\tau^{-1} I_p)$$

To model our uncertainty in $L$, $F$, $\\mu$, we take a full Bayesian approach in the lower dimension latent space
similar to a Bayesian PCA model [1]_ as,
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