{ "assignment_design": "balanced geographic cluster saturation arms followed by independent within-zone-period opportunity assignment", "config": { "cluster_noise_sd": 0.04, "confidence_level": 0.95, "history_effect": 0.7, "history_lags": 1, "individuals_per_cell": 20, "minimum_inference_clusters": 8, "n_clusters": 32, "n_periods": 32, "n_zones": 32, "neighbor_effect": 1.5, "outcome_noise_sd": 0.08, "own_effect": 2.0, "replications": 24, "saturation_levels": [ 0.0, 0.3333333333333333, 0.6666666666666666, 1.0 ], "seed": 880321 }, "estimand_definitions": { "controlled_history_exposure_response": "Per-unit response to the exact-lag own-treatment history holding current own and mapped-neighbor exposure fixed.", "controlled_zone_direct_effect": "Per-unit own-treatment response holding mapped neighbor and lagged exposure fixed.", "market_total_effect": "Full-horizon all-zone treatment versus all-zero under the benchmark's additive exposure mapping and startup history convention.", "spillover_effect": "Per-unit response to the predeclared mapped-neighbor exposure holding own and lagged exposure fixed." }, "evidence_type": "semi_synthetic_exposure_mapped_known_truth_benchmark", "exposure_mapping": "two equal-weight ring neighbors declared before outcomes", "history_mapping": "mean of 1 exact own-treatment lag(s)", "known_estimands": { "controlled_history_exposure_response": 0.7, "controlled_zone_direct_effect": 2.0, "full_horizon_persistent_effect": 0.678125, "market_total_effect": 4.178125, "spillover_effect": 1.5 }, "market_total_bridge": "Known only because this benchmark declares an additive exposure-response DGP; controlled coefficients are not individually relabeled as market_total_effect.", "naive_assignment_status": "target mismatch; coefficient uncertainty is cluster-aware, but market-total bias, RMSE, coverage, and power are withheld" }