I’m not sure this will help in your case, but the usual framework for using causality for calculations seems to be that you have a DAG respresenting the causal connections between variables (without probabilities) and statistical data. From this, some things can be calculated that couldn’t be inferred with statistical data alone.
The cause graph can’t usually be inferred from the data. However, some statistical tests could disprove the cause graph. For example, the cause graph might imply that certain statistical variables are independent.
I’m not sure this will help in your case, but the usual framework for using causality for calculations seems to be that you have a DAG respresenting the causal connections between variables (without probabilities) and statistical data. From this, some things can be calculated that couldn’t be inferred with statistical data alone.
The cause graph can’t usually be inferred from the data. However, some statistical tests could disprove the cause graph. For example, the cause graph might imply that certain statistical variables are independent.