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test(r_parity): tighten 9 mid-tier SE tolerances to ~3x observed gap
Follow-up to the 2026-06 tolerance audit: swept the queued mid-tier modules, recomputed the worst observed rel_se across BOTH reference sides from the committed JSONs, and tightened each to ~3x that gap (floored at the 1e-6 machine tier) — none loosened: 42_nbreg 1e-2->5e-3, 43_heckman 1e-3->5e-4, 28_frontier 1e-4->5e-5, 44_mlogit 1e-4->5e-5, 41_tobit 1e-3->1e-5, and the machine-level 14_ols_cluster / 24_coxph / 46_clogit / 49_oprobit 1e-3->1e-6. 45_ologit (5.1x, at the rule boundary) left at 1e-5. Harness render is idempotent (no results diff), fixture lock refreshed, 36/36 contract tests pass. Doc registry updated with the before/after table. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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docs/dev/r_parity_tolerances.md

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budget, to ≈3× the observed gap rounded to a clean number, floored at
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the harness-wide `1e-6` machine tier.
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*Scope of the 2026-06 audit round:* the 5× rule was applied to the
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legacy loose tier (budgets ≥ `1e-2`) only. Mid-tier budgets whose
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margin also exceeds 5× — `42_nbreg` (7.3×), `43_heckman` (11.6×),
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`28_frontier` (7.9×), `44_mlogit` (8.5×), `45_ologit` (5.1×), and the
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machine-adjacent `14_ols_cluster` / `24_coxph` / `35_panel` /
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`41_tobit` / `46_clogit` / `49_oprobit` — are queued for the next
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round rather than silently exempted.
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*Scope of the 2026-06 audit round:* the 5× rule was first applied to
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the legacy loose tier (budgets ≥ `1e-2`). A follow-up pass then swept
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the mid-tier modules whose margin also exceeded 5×, recomputing the
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worst observed `rel_se` across **both** reference sides from the
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committed JSONs and tightening each to ≈3× that gap (floored at the
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`1e-6` machine tier):
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| module | old `rel_se` | obs worst (both sides) | new `rel_se` |
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| --- | --- | --- | --- |
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| `42_nbreg` | `1e-2` | `1.4e-3` | `5e-3` |
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| `43_heckman` | `1e-3` | `8.6e-5` | `5e-4` |
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| `28_frontier` | `1e-4` | `1.3e-5` | `5e-5` |
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| `44_mlogit` | `1e-4` | `1.2e-5` | `5e-5` |
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| `41_tobit` | `1e-3` | `2.0e-6` | `1e-5` |
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| `14_ols_cluster` | `1e-3` | `6.1e-9` | `1e-6` |
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| `24_coxph` | `1e-3` | `2.6e-15` | `1e-6` |
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| `46_clogit` | `1e-3` | `2.7e-9` | `1e-6` |
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| `49_oprobit` | `1e-3` | `3.0e-7` | `1e-6` |
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`45_ologit` (margin 5.1×, obs `2.0e-6`) sits at the rule boundary and
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is left at `1e-5`. No value was loosened; the harness contract test
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and the offline render both pass at the new budgets.
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## Reproducing the audit
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tests/r_parity/TIER_A_FIXTURE_LOCK.json

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{
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"aggregate_sha256": "9ff5b8bee38e464913c2e832e8c08fcd7cf00d117cca3636ee94ad3307224eb3",
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"aggregate_sha256": "2b9361d406643b5e051ef9ec491a5a8dcea05c0075d6afd746501610d6feef90",
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"counts": {
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"files": 463,
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"input_csvs": 61,
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"sha256": "10196d9ddd4378cfa3d76cc160f6aa3c323fd5866e5d9ef83b89da6847afc585"
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},
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{
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"bytes": 60268,
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"bytes": 60714,
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"path": "tests/r_parity/compare.py",
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"sha256": "2723006f8a36cc068eda6be304a88f761190fea09f4664eb58f55e0adfba5120"
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"sha256": "fe1091e1813bc794b626aa2bae3ecfe156b04301777b185e7d8ec48a30f2cc4a"
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},
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{
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"bytes": 104713,

tests/r_parity/compare.py

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# forest RNG; observed worst 14.6% (3.4x margin, <5x: not yet
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# tightenable under the audit rule) -- see doc.
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}, # clean-overlap AIPW vs grf (post-nuisance-regularisation MC gap)
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"14_ols_cluster": {"rel_est": 1e-6, "rel_se": 1e-3},
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"14_ols_cluster": {"rel_est": 1e-6, "rel_se": 1e-6}, # obs worst 6.1e-9 (machine); 2026-06 tighten
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# Tightened 2026-06-10 from 5e-2 ("ssc convention" was stale): with
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# ssc='fixest' the CR1 nested-FE cluster SEs match fixest/reghdfe
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# (observed worst rel_se 1.25e-11 incl. Stata side).
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"21_honest_relmags": {"abs_est": 1e-6, "abs_se": 1e-6},
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"22_sensemakr": {"rel_est": 1e-6, "rel_se": 1e-6},
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"23_evalue": {"rel_est": 1e-6, "rel_se": 1e-6},
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"24_coxph": {"rel_est": 1e-6, "rel_se": 1e-3},
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"24_coxph": {"rel_est": 1e-6, "rel_se": 1e-6}, # obs worst 2.6e-15 (machine); 2026-06 tighten
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"25_lmm": {"rel_est": 1e-6, "rel_se": 1e-6}, # REML criterion + tight optimiser parity
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# B: SE information-matrix convention at the (tight) Laplace/AGHQ
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# optimum differs across implementations; observed worst 1.9% incl.
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# Stata (2.7x margin). Value frozen by the contract test.
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"26_glmm_logit": {"rel_est": 2e-4, "rel_se": 5e-2}, # tightened GLMM optimiser tol
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"27_glmm_aghq": {"rel_est": 1e-6, "rel_se": 5e-2}, # AGHQ tight optimiser, SE convention gap
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"28_frontier": {"rel_est": 1e-6, "rel_se": 1e-4},
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"28_frontier": {"rel_est": 1e-6, "rel_se": 5e-5}, # obs worst 1.3e-5, ~4x margin; 2026-06 tighten
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# C (known weak spot, see doc): non-headline SE rows exceed this
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# budget (slope SE up to 0.98% vs frontier::sfa; intercept/sigma are
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# documented Stata-scale diagnostics). Headline = slope rel_est.
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# Stata qreg); different sparsity estimators by construction.
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# Observed 7.3% (R) / 3.0% (Stata), 1.4x margin.
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"40_qreg": {"rel_est": 1e-6, "rel_se": 1e-1}, # Powell SE method choice
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"41_tobit": {"rel_est": 1e-6, "rel_se": 1e-3}, # observed-info Hessian
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"42_nbreg": {"rel_est": 1e-6, "rel_se": 1e-2},
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"43_heckman": {"rel_est": 1e-6, "rel_se": 1e-3},
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"44_mlogit": {"rel_est": 1e-6, "rel_se": 1e-4}, # multinom tight optimiser + observed-info Hessian
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"45_ologit": {"rel_est": 1e-6, "rel_se": 1e-5}, # polr tight optimiser + observed-info Hessian
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"46_clogit": {"rel_est": 1e-6, "rel_se": 1e-3},
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"41_tobit": {"rel_est": 1e-6, "rel_se": 1e-5}, # observed-info Hessian; obs worst 2.0e-6 (2026-06 tighten)
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"42_nbreg": {"rel_est": 1e-6, "rel_se": 5e-3}, # obs worst 1.4e-3, 3x margin (2026-06 tighten)
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"43_heckman": {"rel_est": 1e-6, "rel_se": 5e-4}, # obs worst 8.6e-5, ~6x margin (2026-06 tighten)
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"44_mlogit": {"rel_est": 1e-6, "rel_se": 5e-5}, # multinom tight optimiser + observed-info Hessian; obs 1.2e-5 (2026-06 tighten)
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"45_ologit": {"rel_est": 1e-6, "rel_se": 1e-5}, # polr tight optimiser + observed-info Hessian; obs 2.0e-6, 5.1x (at rule boundary)
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"46_clogit": {"rel_est": 1e-6, "rel_se": 1e-6}, # obs worst 2.7e-9 (machine); 2026-06 tighten
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# Modules added in the second 2026-05-28 fix-and-extend pass.
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# B: HC1 sandwich after the Gauss-Seidel multi-FE fix; observed
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# 1.8% (R) / 0.10% (Stata), 2.7x margin.
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"47_ppmlhdfe_3fe": {"rel_est": 1e-6, "rel_se": 5e-2}, # post Gauss-Seidel
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"48_probit": {"rel_est": 1e-6, "rel_se": 1e-2},
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"49_oprobit": {"rel_est": 1e-6, "rel_se": 1e-3},
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"49_oprobit": {"rel_est": 1e-6, "rel_se": 1e-6}, # obs worst 3.0e-7 (machine floor); 2026-06 tighten
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"50_xtabond": {"rel_est": 1e-6, "rel_se": 1e-6}, # R/Stata dynamic-panel fixture
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"51_newey": {"rel_est": 1e-6, "rel_se": 1e-2}, # post HAC fix
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# Unique-solution SCM: strict-parity counterpart to module 07.

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