Math for Causal Inference
All simulators

Blocking on Districts

Complete versus within-district randomisation of a schooling programme: the variance gain from blocking.

Day 38: Stratified & Blocked Experiments
-5051015estimated effect on test scores (2,500 experiments)
sd, complete randomisation
2.716
sd, blocked by district
0.960
variance ratio
0.12
blocked ÷ complete
equivalent sample gain
701%
complete randomisationblocked randomisation

Test scores in four districts that differ in baseline level. Randomising within each district removes the between-district variation from the estimator's variance; the gain grows with the share of variance that lies between blocks. True effect: +3 points.