Relationship among Network Graphs Independence Assumptions Joint Distribution

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Relationship among Network Graphs, Independence Assumptions & Joint Distribution Equations Farrokh Alemi, Ph. D.

Relationship among Network Graphs, Independence Assumptions & Joint Distribution Equations Farrokh Alemi, Ph. D. HEALTH INFORMATICS PROGRAM HI. GMU. EDU

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn

P 1 P 2 Pm X C 1 HEALTH INFORMATICS PROGRAM C 2 Cn GEORGE MASON UNIVERSITY

Fidelity Move from a graph to independence assumptions then to equation without loss of

Fidelity Move from a graph to independence assumptions then to equation without loss of information

Formula & Graph Correspondence S: Severity of Illness R: Do Not Resuscitate M: Provider’s

Formula & Graph Correspondence S: Severity of Illness R: Do Not Resuscitate M: Provider’s Decision T: Treatment O: Outcome

Formula & Graph Correspondence S: Severity of Illness R: Do Not Resuscitate M: Provider’s

Formula & Graph Correspondence S: Severity of Illness R: Do Not Resuscitate M: Provider’s Decision T: Treatment O: Outcome

Formula? S: Severity of Illness R: Do Not Resuscitate M: Provider’s Decision T: Treatment

Formula? S: Severity of Illness R: Do Not Resuscitate M: Provider’s Decision T: Treatment O: Outcome

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

Probability of an Event

What If

What If

What If Su M m. O Va iss u ria in t bl g

What If Su M m. O Va iss u ria in t bl g es

What If Calculate from Marginal Tables after Removing Missing Variables

What If Calculate from Marginal Tables after Removing Missing Variables

GRAPH, FORMULAS, AND INDEPENDENCE ASSUMPTIONS INFORM EACH OTHER

GRAPH, FORMULAS, AND INDEPENDENCE ASSUMPTIONS INFORM EACH OTHER

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