# 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 ...
• 11
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### A question about do calculus

Suppose we have a DAG in the figure. I want to find the formula for $P(Y \mid do(X), S)$. What I think is that: Since $W$ is the parent of $X$ then we should have  P(Y \mid do(X), S) = \sum_{W} ...
• 203
1 vote
28 views

### Is survey participation a cause of survey response?

I am rewatching Statistical Rethinking 2023 - 11 - Ordered Categories because McElreath mentions some causal assumptions about survey responses, which I am interested in. He proposes a causal diagram ...
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### Constructing a structural equation model/causal graph

I would like to understand some intuitions behind the following causal graph/SCM. Where as $X_1, X_2$ are expenditure on promotional activities. My main interest lies in understanding the fact that ...
• 55
1 vote
71 views

### Multiple covariates as treatment in double ML

I have multiple economic indicators as covariates such as employment rate, gdp growth, average wage, etc. I want to estimate each of them's effect on travel demand. I was thinking of two steps: Make ...
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211 views

### Variable selection with a theoretical DAG vs algorithmically discovered DAG

I'm analysing data from an electronic health record and determining what variables to include in a model to close back doors and omit bias. I've read that it is important to have a subject specific ...
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### Why is d-separation only for disjoint sets?

I'm reading Molak's Causal Inference and Discovery in Python: Unlock the secrets of modern causal machine learning with DoWhy, EconML, PyTorch and more and I made note that I've taken the ...
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### Causal discovery on partially known causal DAG

Often in data science, we have partial knowledge of the causal DAG structure. Regarding some of the possible edges in the DAG, we are in doubt. Are there any resources to tackle this setting? The ...
596 views

### Isn't strong ignorability an incorrect assumption in complex causal structures?

I have seen that in many papers/competitions for causal inference, the assumption of strong ignorability is made - $P(Y^{x}\perp X\mid V)$, where $X$ is the treatment, $Y$ the outcome and $V$ ...
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### Causal inference in DAGs and resulting structural equations

I am trying to understand the difference between the two modelling approaches described below that stems from the causal graphs. Our goal is to causally measure the total treatment effect of our ...
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### Can my cycle-cut algorithm sample any DAG?

I am doing some computational simulations to validate a procedure involving structural equation models and causal inference. I wanted to sample from the possible space of DAGs on $n$ vertices. I can ...
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1 vote
54 views

### How do I interpret the identification step logs in Causal Inference using DoWhy? [closed]

I am running Causal Inference to determine whether the mass of a vehicle affects the Co2 emissions. I understand that DoWhy follows a particular structure that is modeling-> identification -> ...
1 vote
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### Difference between query and distribution in causal inference

Reading the causality literature, we see the concepts of "interventional" and "counterfactual" query as well as "interventional" and "counterfactual" ...
165 views

### Selection of Competing Exposures in a DAG: How many to use?

I am trying to get my head around when and how to include Competing Exposures in DAGs. In my searching I keep finding statements that are very similar to the quote from the dagitty tutorials - "...
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### Causal Inference in a Multivariate Equation

I am wondering if both the coefficients can be identified in a causal sense given the context and the resulting multiple regression equation. Imagine a scenario where we have two investment ...
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### Causal inference and the backdoor-criterion

I am trying to determine if the authors of the following report missed out on an important factor or if i am the one who have missed out on something. In the following report: Bias Correction For Paid ...
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### Testing for conditional independence with nonlinear relationships

I am reading about the IC and IC* (Inductive Causation) algorithms for discovering DAGs from observations. The first step of the algorithm is for each pair of variables a and b, search for a set of ...
1 vote
55 views

### Path tracing rules for nonlinear relationships

I'm learning about Wright's path-tracing rules, and because they deal with covariances it seems like they make the assumption that relationships between variables are linear. If we have nonlinear ...
1 vote
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### In a causal diagram where the change score $\Delta Y=Y_1-Y_0$, does $Y_1$ cause $\Delta Y$ or does $\Delta Y$ cause $Y_1$?

In Shahar & Shahar (2010), the authors argue that in a typical pre/post observational study on two longitudinal outcomes $Y_0$ and $Y_1$: the change score $\Delta Y=Y_1-Y_0$ causes the post-...
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### Covariate adjustment for "mediated" reverse causality

I have made the following DAG in dagitty.net: DAGitty says "The total effect cannot be estimated by covariate adjustment". I don't understand why I can't close the backdoor path by ...
• 2,301
23 views

### Competitions/datasets fit for exploring Pearl's graphical causal models

Are there any competitions/challenges/datasets fit for testing Pearl's graphical causal inference methods? I do not necessarily mean live competitions. I would expect these setups to be different than ...
1 vote
72 views

### How can you rewrite the estimand in terms of propensity scores? Dowhy question

I am going through the backdoor criterion and how we get from an expression involving do to one which doesn't as below. What i don't quite get is how to rewrite this estimand in terms of propensity ...
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### DAG - why is the path open?

I have this DAG As I understand it, the paths D <- Ed -> St -> P -> Su and D <- A -> P -> Su are both closed because the contain the collider P. If I condition on P, both these ...
92 views

### How to understand the second rule of front door criterion?

In the Definition 3.4.1 of Pearl's causal inference book (Primer), the second rule for the front door criterion is "There is no backdoor path from $X$ to $Z$". But from my understanding, ...
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167 views

### Can controlling for a variable block the backdoor path opened by controlling for a collider?

I have made the following model in DAGitty: Where X2 is controlled for. DAGitty says: The total effect cannot be estimated due to adjustment for an intermediate or a descendant of an intermediate. ...
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