Figure 3:

Results on the PF dataset. (a) Heatmap showing the relationship between covariates and cell types, with darker colors indicating stronger relationships. (b) Heatmap of estimated regression coefficients, where red indicates a positive correlation. (c) 95% credible interval for the significant ${\beta }_{rj}$ chosen by the threshold controlling the FDR < 0.05. (d) 95% credible nterval for the significant ${\beta }_{rk}^{\left(q\right)}$ of the tree structure chosen by the threshold controlling the FDR < 0.05. (e) Cladograms of the identified cell types, where red dots represent the nodes of cell types that have a significantly higher abundance when diagnosed with PF. (f) The underlying barplot represents the predicted proportions $\left(\alpha \right)$ of the certain cell type by the model, with black dots showing the actual proportions of this cell type in each patient in the dataset.