In Simple Words
Think of evaluating a new school lunch menu against the old default menu. Welfare contrast 1 checks if adapting choices during the school year fed kids better than flipping a coin every day. Contrast 2 measures how much health improves if every single student gets their exact personalized ideal meal instead of the old default. Contrast 3 measures how much health improves if every student gets the single best overall group meal instead of the old default.
Research question
Evaluating experimental interventions requires distinguishing between adaptive learning gains realized during trial execution, total potential welfare gains from an optimal targeted policy, and welfare gains from an optimal non-targeted policy compared to baseline controls.
Participants
N = 3,770 Syrian refugees and Jordanian jobseekers in urban Jordan.
Study Design
Bayesian hierarchical posterior expectations evaluating three formal welfare contrasts ($\Delta_1$: adaptive vs equal random assignment; $\Delta_2$: optimal targeted policy vs control; $\Delta_3$: optimal non-targeted policy vs control) on 6-week wage employment.
Results
Contrast $\Delta_1 = 0.002$ (95% CS: [0.000, 0.004]), showing negligible in-sample adaptive gain due to muted 6-week treatment effects. Contrast $\Delta_2 = 0.017$ (95% CS: [0.001, 0.034]), demonstrating a 35% gain in employment for the optimal targeted policy over control. Contrast $\Delta_3 = 0.006$ (95% CS: [-0.015, 0.027]), showing half the gain for an un-targeted policy.
Takeaway
Calculate formal welfare contrasts ($\Delta_1, \Delta_2, \Delta_3$) comparing observed adaptive allocations, optimal targeted policies, and non-targeted policies against baseline controls to isolate targeting gains from adaptive design gains.