Collider - Revision history

IssaRice at 00:26, 15 January 2019

2019-01-15T00:26:14Z

← Older revision		Revision as of 00:26, 15 January 2019
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	* [[wikipedia:Collider (epidemiology)]]		* [[wikipedia:Collider (epidemiology)]]
	* [[Explaining away]]		* [[Explaining away]]

			[[Category:Causal inference]]

IssaRice: /* See also */

2018-09-22T00:38:12Z

IssaRice at 22:52, 2 June 2018

2018-06-02T22:52:04Z

← Older revision		Revision as of 22:52, 2 June 2018
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	In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node.		In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node.

	Colliders are interesting because conditioning on a collider can make two unconditionally independent variables conditionally dependent. The example that I have seen Pearl give is two coin flips (independent) and a bell that rings if the two coins land on the same side. The coin flips are unconditionally independent, but conditioning on whether you hear the bell makes the coin flips dependent. In this example, the event representing the bell is a collider.		Colliders are interesting because conditioning on a collider can make two unconditionally independent variables conditionally dependent. The example that I have seen Pearl give is two coin flips (independent) and a bell that rings if the two coins land on the same side. The coin flips are unconditionally independent, but conditioning on whether you hear the bell makes the coin flips dependent. In this example, the event representing the bell is a collider. Normally when we condition on a variable, we think of it as blocking the path, but with colliders it's the opposite: conditioning on it ''creates'' a new path around the node.

	==Examples==		==Examples==

IssaRice at 22:16, 2 June 2018

2018-06-02T22:16:12Z

← Older revision		Revision as of 22:16, 2 June 2018
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	In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node.		In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node.

	Colliders are interesting because conditioning on a collider can make two unconditionally independent variables conditionally dependent. The example that I have seen Pearl give is two coin flips (independent) and a bell that rings if the two coins land on the same side. The coin flips are unconditionally independent, but conditioning on whether you hear the bell makes the coin flips dependent.		Colliders are interesting because conditioning on a collider can make two unconditionally independent variables conditionally dependent. The example that I have seen Pearl give is two coin flips (independent) and a bell that rings if the two coins land on the same side. The coin flips are unconditionally independent, but conditioning on whether you hear the bell makes the coin flips dependent. In this example, the event representing the bell is a collider.

	==Examples==		==Examples==

IssaRice at 22:15, 2 June 2018

2018-06-02T22:15:22Z

← Older revision		Revision as of 22:15, 2 June 2018
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	In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node.		In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node.

			Colliders are interesting because conditioning on a collider can make two unconditionally independent variables conditionally dependent. The example that I have seen Pearl give is two coin flips (independent) and a bell that rings if the two coins land on the same side. The coin flips are unconditionally independent, but conditioning on whether you hear the bell makes the coin flips dependent.

	==Examples==		==Examples==

IssaRice: Created page with "In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node. ==Examples== * In the path $X \to Y \to Z \leftarrow..."$

2018-06-02T21:53:06Z

Created page with "In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node. ==Examples== * In the path <math>X \to Y \to Z \leftarrow..."

New page

In causal graphs, a '''collider''' is a node along a path where both directed edges of the node point to the node.

==Examples==

* In the path <math>X \to Y \to Z \leftarrow W</math>, the node <math>Z</math> is a collider because the two directed edges of <math>Z</math> both point to it.

==See also==

* [[wikipedia:Collider (epidemiology)]]

← Older revision		Revision as of 00:38, 22 September 2018
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	* [[wikipedia:Collider (epidemiology)]]		* [[wikipedia:Collider (epidemiology)]]
			* [[Explaining away]]