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Flexible parametric illness-death models

Flexible parametric illness-death models. Sally R. Hinchliffe David A. Scott Paul C. Lambert The Stata Journal (2013). Mutually exclusive endponts Competing risks model. Death cause 1. State 1. Death cause 2. Death cause 3. Transient / Intermediary events. Death cause 1.

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Flexible parametric illness-death models

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  1. Flexible parametricillness-deathmodels Sally R. Hinchliffe David A. Scott Paul C. Lambert The Stata Journal (2013)

  2. MutuallyexclusiveendpontsCompeting risks model Death cause 1 State 1 Death cause 2 Death cause 3

  3. Transient/Intermediary events Death cause 1 Death cause 2 State 1 Death cause 3

  4. Bidirectionalillness-deathmodelExample Alive and well Ill Dead Authors focus on unidirectionalmodels!

  5. Main measuresofinterest • Transitionhazards -the impactof risk factors on rates ofillness or mortality • Probabilityofbeing in eachstate as a functionoftime -on whichstateshouldwebase prognosis and clinicaldecisions?

  6. Puposeofarticle • Set up data usingilldprep • Transitionhazardsstmp2 • Probabilityofbeing in eachstate as a functionoftimestmp2illd

  7. Unidirectionalillness-deathmodel Alive and well State 1 Transition 2 α12 (t) Ill State 2 Transition 1 α13 (t) α24 (t)Transition 3 Dead State 4 Dead State 3

  8. Tdenotes the timeofreachingstatej from statei and the hazard rate of the i j transition is given by:

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