Relationship between Two Numerical Variables
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Transcript of Relationship between Two Numerical Variables
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RELATIONSHIP BETWEEN TWO NUMERICAL VARIABLES
By Farrokh Alemi, Ph.D.
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Investigators are often interested in relationship between variables
Relationships
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Multiple observations needed
Anecdotal Data
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I have smoked all my life and I do not have cancer
Anecdotal Data
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Relationships
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Independent X & Y
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Explanatory Variable𝐸𝑥𝑝𝑙𝑎𝑛𝑎𝑡𝑜𝑟𝑦 𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝑚𝑖𝑔ℎ𝑡 𝑎𝑓𝑓𝑒𝑐𝑡
ሱۛ ۛ ۛ ۛ ۛ ۛ ۛ ۛ ሮ 𝑅𝑒𝑠𝑝𝑜𝑛𝑠𝑒
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Association Is Not Causation
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Causation Requires: Association Sequence (causes preceded effects) Mechanism Counter factual (no effect when causes
are absent)
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Causation Requires: Association Sequence (causes preceded effects) Mechanism Counter factual (no effect when causes
are absent)
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Causation Requires: Association Sequence (causes preceded effects) Mechanism Counter factual (no effect when causes
are absent)
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Causation Requires: Association Sequence (causes preceded effects) Mechanism Counter factual (no effect when causes
are absent)
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Association Is Not Causation
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A Scatterplot can show the association between two variables
Take Home Message
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Do one: