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Commit d14f7738 authored by Arnaud Duvermy's avatar Arnaud Duvermy
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theory behind htrfit

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......@@ -27,6 +27,6 @@ To navigate the selection of optimal values for these experimental parameters, w
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In this modeling framework, counts denoted as $K_{ij}$ for gene i and sample j are generated using a negative binomial distribution. The negative binomial distribution considers a fitted mean $\mu_{ij}$ and a gene-specific dispersion parameter $dispersion_i$.
The fitted mean $\mu_{ij}$ is determined by a parameter, $q_{ij}$, which is proportionally related to the sum of all effects specified using `init_variable()` or `add_interaction()`. If basal gene expressions are provided, the $\mu_{ij}$ values are scaled accordingly using the gene-specific basal expression value ($bexpr_i$).
The fitted mean $\mu_{ij}$ is determined by a parameter, $q_{ij}$, which is proportionally related to the sum of all effects specified using `init_variable()` or `add_interaction()`. If basal gene expressions are provided, the $q_{ij}$ values are scaled accordingly using the gene-specific basal expression value ($bexpr_i$).
Furthermore, the coefficients $\beta_i$ represent the natural logarithm fold changes for gene i across each column of the model matrix X. The dispersion parameter $dispersion_i$ plays a crucial role in defining the relationship between the variance of observed counts and their mean value. In simpler terms, it quantifies how far we expect observed counts to deviate from the mean value for each genes.
In addition, HTRfit allows for sequencing depth control using a scalar value specific to each sample ($s_j$) applied on the $\mu_{ij}$ value.
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