2021
DOI: 10.3390/e23030316
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A Note on Causation versus Correlation in an Extreme Situation

Abstract: Recently, it has been shown that the information flow and causality between two time series can be inferred in a rigorous and quantitative sense, and, besides, the resulting causality can be normalized. A corollary that follows is, in the linear limit, causation implies correlation, while correlation does not imply causation. Now suppose there is an event A taking a harmonic form (sine/cosine), and it generates through some process another event B so that B always lags A by a phase of π/2. Here the causality i… Show more

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Cited by 10 publications
(4 citation statements)
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“…For nonlinear systems, the existence of such a relation, and, if existing, how it is like, are yet to be explored. Nonetheless, as proved in [25], this relation indeed holds for some counter-examples in terms of normalized information flow (see Section 4 below).…”
Section: Theoremsupporting
confidence: 52%
“…For nonlinear systems, the existence of such a relation, and, if existing, how it is like, are yet to be explored. Nonetheless, as proved in [25], this relation indeed holds for some counter-examples in terms of normalized information flow (see Section 4 below).…”
Section: Theoremsupporting
confidence: 52%
“…Correlation does not necessarily indicate causation (Liang & Yang, 2021). Correlation refers to the statistical relationship between two variables, while causation refers to the relationship in which one variable causes another variable to change (Bhandari, 2023).…”
Section: Discussionmentioning
confidence: 99%
“…Measurement errors in variables (Wooldridge, 2010). Correlations among variables do not imply causality for inferences, but causality can imply correlation (Liang and Yang, 2021).…”
Section: Limitations and Future Researchmentioning
confidence: 99%