Marginal vs. Conditional risk-set models: an example ...

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Apr 3, 2014 - Annie Herbert. Institute of Child Health, University College ... PJ Kelly & LLY Lim, Stat Med 2000. Estimating 's using partial likelihood with ...
Marginal vs. Conditional risk-set models: an example using hospital admissions data

Survival Analysis for Junior Researchers Conference April 3rd, 2014

Annie Herbert Institute of Child Health, University College London

Outline

• Conditional vs. Marginal risk-set models • My project using hospital admission data (work in progress!) – Rationale, methods – Results: conditional vs. marginal

• Discussion, future work

Time to recurrent events

Can model hazard separately for k = 1,…K events: 𝜆𝑖𝑘 𝑡 = 𝜆0𝑘 𝑡 𝑒 𝑋𝑖 𝛽𝑘

Estimating 𝛽’s using partial likelihood with different ‘risk-sets’ 𝐽

𝑃𝐿 𝛽 = 𝑗=1

where ordered event times are 𝑡

𝜆(𝑡(𝑗) ) 𝑘 𝜖 𝑅(𝑡 𝑗 ) 𝜆(𝑡𝑘 )

1

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