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Results tagged with structural-equation-modeling
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user 76484
Structural Equation Modeling is a multivariate technique. It is based on formulating a set of linear relations between variables, some of which may be latent, and estimating the whole system, typically by analyzing the covariance matrix of the observed variables.
1
vote
causal inference exercise - "covariate-specific effect"
$\newcommand{\op}[1]{\operatorname{#1}}
\newcommand{\doop}{\op{do}}$
Here's my answer.
a. To get the $c$-specific effect of $X$ and $Y,$ which is $P(Y=y|\doop(X=x),C=c),$ we analyze
as follows. The se …
- 6,039
2
votes
causal effect in linear causal model
Partial Solution:
According to Rule 2 on page 70 of Causal Inference in Statistics: A Primer, by Pearl, Glymour, and Jewell:
The $z$-specific effect $P(Y=y|\operatorname{do}(X=x), Z=z)$ is identified …
- 6,039
3
votes
causal effect in linear causal model
$\newcommand{\eps}{\varepsilon}\newcommand{\doop}{\operatorname{do}}$My other answer has some value, I think, but rather than edit it, I think it might be better to simply add another answer. Let's ta …
- 6,039
2
votes
Confused by the notation in DAG depicting structural causal model and corresponding function...
Yes, you are correct about upper-case versus lower-case: the upper-case $U_X,$ for example, is the exogenous random variable. Any particular value of that random variable is $u_X.$ This is a fairly co …
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5
votes
Structural Causal Models with cycles
Well, the fundamental rule of causality is that causes must precede effects - that is a strict inequality in time. So it is not permissible to have $X_i(t)=f_i(X_j(t),\dots,U_i(t)),$ but then turn aro …
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1
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Computing counterfactual query given an SCM and how it differs from computing interventional...
In general, you compute a counterfactual by performing three steps:
Abduction: Use evidence $E=e$ to determine the value of $U.$
Action: Modify the model, $M,$ by removing the structural equations fo …
- 6,039