Under what circumstances can correlation imply causation?
One useful sufficient condition for some definitions of causation: Causation can be claimed when one of the correlated variables can be controlled (we can directly set its value) and correlation is still present.
What are the 3 conditions necessary to infer causation?
Causality concerns relationships where a change in one variable necessarily results in a change in another variable. There are three conditions for causality: covariation, temporal precedence, and control for “third variables.” The latter comprise alternative explanations for the observed causal relationship.
Under what conditions can you determine the direction of causality just from knowing the correlation coefficient?
Under what conditions can you determine the direction of causality just from knowing the correlation coefficient? When there is no linear relationship. Which of the following influences the power of a study using an analysis of variance?
Why does a strong correlation indicate causality?
A strong correlation might indicate causality, but there could easily be other explanations: It may be the result of random chance, where the variables appear to be related, but there is no true underlying relationship.
When is there no correlation and no causation?
No correlation: As increases, stays about the same or has no clear pattern. Causation can only be determined from an appropriately designed experiment. Sometimes when two variables are correlated, the relationship is coincidental or a third factor is causing them both to change. Are you a student or a teacher?
Are there any problems with lack of correlation?
They include regression discontinuity, difference-in-differences, etc. There is also a problem with the opposite case, when lack of correlation is used as a proof for the lack of causation. This problem is nonlinearity; when looking at correlation people usually check Pearson, which is only a tip of an iceberg.
When does correlation between study and test scores imply causation?
If their test scores suddenly diverged by a large degree, this would be strong evidence that studying (or going to the amusement park) had a causal effect on test scores. In this case, correlation between studying and test scores would almost certainly imply causation.