24 questions linked to/from Does causation imply correlation?
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### Are two variables that are dependent also correlated? / Can two dependent variables not be correlated? [duplicate]

I cannot find the answer to my question anywhere, I hope someone can help. I did a Chi-Square test with several variables to see if they were dependent or independent. The result showed that they ...
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### If a study indicates no correlation between two variables, does it also indicate a lack of casual relationship? [duplicate]

Of course, correlation does not equal causation. But I am having trouble understanding if there is no correlation between two variables, would this indicate a lack of casual relationship between them ...
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### Is correlation required condition for causation? [duplicate]

We all know that Correlation does not imply causation, but I am wondering whether there can be causation without correlation. If there are such cases, could you explain them? I am asking this ...
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### Does no correlation imply no causality?

I know that correlation does not imply causality but does an absence of correlation imply absence of causality?
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### Does statistical independence mean lack of causation?

Two random variables A and B are statistically independent. That means that in the DAG of the process: $(A {\perp\!\!\!\perp} B)$ and of course $P(A|B)=P(A)$. But does that also mean that there's no ...
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### What is effect size... and why is it even useful?

I have an introductory-graduate-level statistics background (assume I know mathematical statistics and probability at an undergraduate level (e.g., Wackerly et al., Ross' Probability), and have some ...
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### Mathematical definition of causality

Let $Y$ and $X$ be random variables. $E(Y|X)$ is the conditional mean of $Y$ given $X$. We say $Y$ is not causally related to $X$ if $E(Y|X)$ does not depend on $X$, which implies it is equal to $E(Y)$...
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### Difference between rungs two and three in the Ladder of Causation

In Judea Pearl's "Book of Why" he talks about what he calls the Ladder of Causation, which is essentially a hierarchy comprised of different levels of causal reasoning. The lowest is concerned with ...
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### Is the linearity assumption in linear regression merely a definition of $\epsilon$?

I am revising linear regression. The textbook by Greene states: Now, of course there will be other assumptions on the linear regression model, such as $E(\epsilon|X)=0$. This assumption ...
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### Simulating data - correlation vs causation

I'm just dipping my toe into correlation vs causation, so forgive me if I butcher some of the concepts here. To get a better understanding of these concepts from data, I would like to simulate data ...
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### Independence vs Autocorrelation

In Section 3.2 of R. S. Tsay, Analysis of Financial Time Series, I read: The basic idea behind volatility study is that the series {r_t} is either serially uncorrelated or with minor lower order ...
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### Suppose that $R^2=0$ . Does this imply that Y and X are unrelated? [duplicate]

Possible Duplicate: Under what conditions does correlation imply causation? Can somebody illustrate how there can be dependence and zero covariance? Or could there still be a relationship? Is ...