# Questions tagged [causal-diagram]

Graphical methods for investigating causality, the related [confounder] tag, do-calculus, interventions, and counterfactuals.

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### Do operator in a given DAG

The Original question is here Suppose we have a DAG in the figure. The question to is find the decomposition for $P(Y \mid do(X), S)$. If the backdoor criteria can be applied here, then the following ...
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### Causal modeling in the presence of a latent variable

Suppose that four variables of $X$, $Y$, $L$, and $C$ have the following relationships in the form of directed acyclic graph. $X$, $Y$, and $C$ are observable variables while $L$ is a latent (...
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### What variables need to be controlled for in this causal graphical model?

I have the below graphical causal model. I thought that when we apply the intervention i.e. do calculus we get to the graph on the right - that is deleting arrows going into the treatment (drug). to ...
1 vote
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### Adjusting for variables outside of minimal adjustment set for total causal effect in a DAG

I have a fairly elaborate Directed Acyclic Graph (DAG) for the analysis that I am running, but I am presenting a simplified example here to clarify a few things. Here is a DAG from dagitty.net: ...
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### Understanding a "fundamentally unidentified question" example in causal inference

This is the example I'm referring to, it is taken from Mostly Harmless Econometrics: An Empiricistís Companion by Angrist and Pischke: Suppose that we are interested in whether children do better in ...
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### A graph that helps understand DGP of a mixture of Gaussians (DAG, Kruschke's DBDA style graph, etc.)?

Hastie, et al in “Elements of Statistical Learning” describe a particular DGP(Data Generating Process) or causal model on page 13. The training data in each class (2 classes total) came from a ...
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### How to modifiy regression or update equations to handle causal do-calculus type statements?

Consider $X, Y$ and suppose you have some i.i.d. observations of $Y$ and $X + \text{do}(Y)$ with observation noise $\epsilon_0$ and $\epsilon_1$ (Gaussian). So the observations of the latter should ...
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### Justification of definition 2.7.1 (Potential cause) in Causality by Pearl

In Causality - Models, Reasoning And Inference by Pearl, definition 2.7.1 says - Potential Cause definition: A variable $X$ has a potential causal influence on another variable $Y$ (that is ...
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### Conditioning on a future (post intervention/treatment and post outcome) event in a causal diagram?

My team is conducting a pre/post-intervention comparison of health outcomes in treatment and control groups, and the question came up whether it's a good idea condition/match on a deceased flag for ...
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### Does a PAG (partial ancestral graph) have almost directed cycles with circular endpoints?

In https://www.jmlr.org/papers/volume9/zhang08a/zhang08a.pdf, a Maximal Ancestral Graph (MAG) is defined as: ...
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### In covariate-specific effect - $P(Y=y|do(X=x),Z=z)$ - is $Z=z$ pre- or post-treatment measure?
Causal Inference In Statistics by Pearl, section 3.5, page 70 clearly mentions that - This effect, written $P(Y=y|do(X=x),Z=z)$, measures the distribution of $Y$ in a subset of the population for ...