A pretreatment period is the time interval before an event or treatment used to train a predictive model and estimate the outcome that would have occurred without the event. Its endpoints must be chosen with domain knowledge. section 11.3.2 section 11.3.6
Choosing the interval balances predictive stability against usable training data:
- Moving the beginning farther from the event can increase sample size but may include a changed context and weaken relationships between outcomes and controls. section 11.3.6
- Moving the beginning closer to the event can preserve context but reduces sample size and increases estimation variance. section 11.3.6
- Set the ending just before the event unless anticipation effects begin earlier; then exclude data already influenced by the event. section 11.3.6
- Try candidate starting points and use cross-validation to compare predictive errors before selecting the training window. section 11.3.6
A movie release and anticipation
Suppose a new movie is scheduled for release on 18 December. If viewers begin catching up on older movies beforehand, December observations are already affected by the release. Training on them would distort the nonrelease counterfactual, so the pretreatment period should end earlier. section 11.3.6
Table 11.3 Consequences of choosing endpoints farther from time event T. The Direction arrow shows how the timepoints move with respect to T.
|
P
b
start
|
P
b
end
|
T
|
P
a
start
|
P
a
end
|
|---|---|---|---|---|
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← Direction
Training data window
• More sample size
• Potentially less accuracy due to context change
|
← Direction
Event anticipation
• Smaller sample size
• Potentially more accuracy with less context change
|
→ Direction
Delayed effects
• Less data to evaluate the impact
• Potentially less accuracy due to context change
|
→ Direction
Long-term impact evaluation
• More data to evaluate the impact
• Potentially less accuracy due to context change
|
Compare how moving pretreatment and post-treatment endpoints changes sample size, contextual consistency, and impact-evaluation coverage. section 11.3.6
