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This article explores the intricate relationships between numerical variables, focusing on the distinction between correlation and causation. Investigators often rely on anecdotal evidence and multiple observations to identify associations. While a scatterplot can visually demonstrate the connection between independent (X) and dependent (Y) variables, it is crucial to understand that correlation does not imply causation. Key factors for establishing causation include association, sequence of events, underlying mechanisms, and counterfactual analysis. This guide offers insights into analyzing and interpreting data effectively.
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Relationship between Two Numerical Variables By Farrokh Alemi, Ph.D.
Relationships Investigators are often interested in relationship between variables
Anecdotal Data Multiple observations needed
Anecdotal Data I have smoked all my life and I do not have cancer
Causation Requires: • Association • Sequence (causes preceded effects) • Mechanism • Counter factual (no effect when causes are absent)
Causation Requires: • Association • Sequence (causes preceded effects) • Mechanism • Counter factual (no effect when causes are absent)
Causation Requires: • Association • Sequence (causes preceded effects) • Mechanism • Counter factual (no effect when causes are absent)
Causation Requires: • Association • Sequence (causes preceded effects) • Mechanism • Counter factual (no effect when causes are absent)
Take Home Message A Scatterplot can show the association between two variables