- **New estimator: `SyntheticControl` — classic Synthetic Control Method (Abadie, Diamond & Hainmueller 2010; Abadie & Gardeazabal 2003).** Standalone estimator (`diff_diff/synthetic_control.py`) + `SyntheticControlResults` (`diff_diff/synthetic_control_results.py`) + `synthetic_control()` convenience function, exported from `diff_diff`. Builds a single treated unit's counterfactual as a convex combination of never-treated donor units — **donor (unit) weights only**, no time weights or ridge, distinct from `SyntheticDiD`. The inner simplex-constrained weighted-LS solve `W*(V)` reuses `utils._sc_weight_fw` (folding `V^½` into the predictor matrix, `intercept=False`, `zeta=0`); the diagonal predictor-importance matrix `V` is selected data-driven by minimizing pre-period outcome MSPE (`v_method="nested"`, softmax-on-simplex multistart Nelder-Mead + Powell polish) or supplied by the user (`v_method="custom"`). Predictors are built from `predictors`/`predictor_window`/`predictors_op`, `special_predictors`, and per-period outcome lags (`pre_period_outcomes`), in the R `Synth::dataprep` row order; per-row standardization (SD over donors+treated, ddof=1) matches the R `Synth::synth` source. Reports the gap path (`α̂_1t = Y_1t − Σ_j w_j Y_jt`), `att` (mean post-period gap), `pre_rmspe`, donor weights, `v_weights`, and a predictor-balance table. **No analytical standard error** — `se`/`t_stat`/`p_value`/`conf_int` are NaN (in-space placebo permutation inference with the post/pre RMSPE-ratio statistic is planned for a follow-up release; `_placebo_gaps`/`_rmspe_ratio`/`_fit_snapshot` are reserved on the results object). Ten validation gates baked in: predictor-period leakage, absorbing post-period suffix + no-anticipation cross-check against the treatment column, post-period canonicalization, donor-pool filtering before period derivation, empty-window rejection, poor-pre-fit `UserWarning` (RMSPE > SD of treated pre-outcomes), duplicate-predictor-label rejection, inner-solve non-convergence warning, order-independent gap-path rebuild, and the `standardize="none"` deviation; plus fail-closed `custom_v` cross-field rules and degenerate single-donor / single-pre-period handling. **R-`Synth` parity** (`tests/test_methodology_synthetic_control.py`, fixtures generated by `benchmarks/R/generate_synth_basque_golden.R` into `tests/data/`): two-tier on the Basque Country study — Tier-1 feeds R's `solution.v` via `custom_v` and reproduces the published donor weights (region 10 Cataluña 0.851 + region 14 Madrid 0.149) to `atol=1e-3` deterministically; Tier-2 (`@pytest.mark.slow`) checks the data-driven nested fit lands in a tolerance band (the nested `V` legitimately differs because the outer objective uses all pre periods, not R's `time.optimize.ssr` window). Documented in `docs/methodology/REGISTRY.md` §SyntheticControl (with `**Deviation from R:** standardize="none"` and `**Note:**` labels for the standardization formula, objective window, softmax `V` parametrization, and 1×SD poor-fit threshold), `docs/api/synthetic_control.rst`, the LLM guides, and `README.md`.
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