Evaluating Cost-effectiveness using decision trees: The HPV case
What Is a Decision Tree?
· One of the most widely used decision-analytic models for evaluating health interventions
· Represents the possible outcomes for an individual following an intervention using a series of pathways
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Example: Antismoking Campaign
"Tips From Former Smokers" (TIPS)
· Launched in 2012 by the Centers for Disease Control (CDC)
· The first federally funded national mass media antismoking campaign
· Resulted in an increase of 12% in population quit attempts
· From 31.1% of current smokers to 34.8%
· An increase of 1.6 million quits and 100,000 sustained quits
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Example: Antismoking Campaign—CDC Perspective
The CDC evaluated cost per QALY saved and cost per life year saved from the CDC budget perspective.
· $47,932,809 campaign budget
· $6.7 million for creative development
· $38 million for advertising purchases
· $3.1 million for evaluation
· $1.0961 for each of 43.7 million adult smokers
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Example: Antismoking Campaign—CDC Perspective (cont.)
· Primary effect size: 12% increase in quits; measured 6.1% sustained quit rate at 6 months
· Modeled prevented premature deaths and discounted (3%) life years and QALYs gained by quitting within age and sex groups, using outside data
· Estimated average of 1.79 QALYs per sustained quit
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Decision Tree Elements: Nodes
· Decision node (square node at start of tree): Represents a decision between two or more competing intervention alternatives
· Chance nodes (circular nodes following the decision node): Connect a series of different pathways that represent the range of possible outcomes to the root of the tree
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Decision Tree Elements: Probabilities
· Branch probabilities: Probabilities assigned to each branch coming out of a chance node, based on their likelihood of occurring
· Conditional probabilities: Probabilities emanating from each subsequent new chance node (from left to right), conditioned on having experienced the events earlier in that particular pathway
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Decision Tree Elements: Pathways
Once the entire tree is built, there are a set number of pathways through which one can progress through the tree to the final outcome.
· Pathway probabilities: Probability of completing a specific pathway, determined by multiplying initial branch probability by all of the subsequent conditional probabilities
· Pathway costs: Cost associated with each pathway, calculated by summing the cost of all of the events occurring along the pathway
· Pathway effects: Measure of health effect associated with each pathway, usually a measure of the QALYs for that specific pathway
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Calculating Expected Values From Decision Trees
To estimate the expected cost and effect of each decision:
· Multiply probability of each pathway by the cost and effect for that pathway.
· Sum values for each decision.
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Decision Tree Summary: Table
|
Intervention |
Population |
QALYs per Person |
Incremental QALYs |
Cost per Person |
Incremental Cost |
ICER |
|
No Campaign |
43,729,007 |
20.034 |
-- |
$0.00 |
-- |
|
|
Media Campaign |
43,729,007 |
20.038 |
Individual |
|||
|
|
|
|
0.004 |
$1.0961 |
$1.0961 |
$274 |
|
|
|
|
Population |
|||
|
|
|
|
174,916 |
|
$47,931,000 |
$274 |
· Incremental QALYs: 20.038 − 20.034 = 0.004
· Scaled to population: 0.004 × 43,729,007 = 174,916
· Incremental cost: $1.0961 − $0 = $1.0961
· Scaled to population: $1.0961 × 43,729,007 = $47,931,000
· ICER: $1.0961/0.004 QALYs = $274/QALY
· Scaled to population: $47,931,000/174,916 QALYs = $274/QALY
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Limitations of Decision Trees
· Events are assumed to happen instantaneously.
· No easy mechanism for capturing time
· E.g., TIPS's lifetime discounted life years and QALYs calculated outside of decision tree model
· With chronic diseases (outcomes over long period of time), there are so many potential future health outcomes that it becomes difficult to characterize all future probabilities in tree form.
· Number of branches multiplying too quickly
· Exceedingly difficult to program and analyze the tree
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Decision trees provide a structure for combining probabilities and expected values to estimate ICERs.