2003
DOI: 10.1177/0272989x03255922
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Probabilistic Sensitivity Analysis for Decision Trees with Multiple Branches: Use of the Dirichlet Distribution in a Bayesian Framework

Abstract: In structuring decision models of medical interventions, it is commonly recommended that only 2 branches be used for each chance node to avoid logical inconsistencies that can arise during sensitivity analyses if the branching probabilities do not sum to 1. However, information may be naturally available in an unconditional form, and structuring a tree in conditional form may complicate rather than simplify the sensitivity analysis of the unconditional probabilities. Current guidance emphasizes using probabili… Show more

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Cited by 157 publications
(134 citation statements)
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“…We used the Dirichlet distribution [24] to model the transition from a given functional level to one level higher, one level lower, or remaining at the same level. Based on expert panel discussions, a baseline Dirichlet distribution was used for the first 5 years of transitions starting 1 year postamputation and a second Dirichlet distribution was used for transitions after 5 years.…”
Section: Transition Probabilitiesmentioning
confidence: 99%
“…We used the Dirichlet distribution [24] to model the transition from a given functional level to one level higher, one level lower, or remaining at the same level. Based on expert panel discussions, a baseline Dirichlet distribution was used for the first 5 years of transitions starting 1 year postamputation and a second Dirichlet distribution was used for transitions after 5 years.…”
Section: Transition Probabilitiesmentioning
confidence: 99%
“…To incorporate probabilistic sensitivity analysis, a Dirichlet distribution was specified to represent each transition probability. 18 Standard deviations for costs were generated using a triangular distribution by assuming an increase/decrease in cost by 25%.…”
Section: Model Overviewmentioning
confidence: 99%
“…The Dirichlet distribution was used in PSA for the probability estimates of occult primary tumour sites to provide probabilistic probabilities over multiple branches (i.e., represent occult primary tumour sites) that appropriately represent uncertainty while satisfying the requirement that mutually exclusive event probabilities should sum to 1. 36 Base-case probability estimates of 100% were assumed to be 99% in PSA. received site-specific therapy based on a GEP diagnosis when compared to historical control patients.…”
Section: Base-case Scenariomentioning
confidence: 99%