SITE HETEROGENEITY - 0.2-SH1

One score.
More than one site.

A pooled survival estimate can look stable while one field operation supplies nearly every household. WANTED WILD now requires at least three substantive sites, caps any site at half the cohort, reproduces W within each site, and removes each site in turn.

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3+SUBSTANTIVE SITES

≤50%MAX SITE SHARE

3+ENVIRONMENTS / SITE

0RANKING WEIGHT

01 / POOLED-SCORE DEFENSE

Spread the evidence.
Expose the dependence.

Topology is a certification gate. Site-specific outcomes are public diagnostics and never become a second score or tiebreaker.

SH1FROZEN DESIGN

Define sites before outcomes exist.

REQUIRED

SH2MULTI-SITE SUPPORT

At least three substantive sites.

REQUIRED

SH3BOUND ENDPOINTS

One opaque site per environment.

REQUIRED

SH4POOLED IDENTITY

Never replace or reweight W.

REQUIRED

SH5SITE DISCLOSURE

Report W or null by site.

REQUIRED

SH6SITE-OUT SENSITIVITY

Remove each site in turn.

REQUIRED

SH7INDEPENDENT AUDIT

Bind assignments and reproduction.

REQUIRED

02 / SAME ESTIMATOR

Partition the rows.
Do not move the goalposts.

Every site uses the same A2 event, censoring, tie, horizon, and refusal rules. Unsupported site tails remain null. The official pooled W stays the unweighted environment-level estimate.

DOMINANCE + SENSITIVITYmax_s n_s/N ≤ 0.50
Δ_site-out = max_s|W_-s − W|

Passing limits concentration. It does not impose a performance threshold on site-specific W or its range.

03 / PUBLIC TRACE

Show where
the score moves.

Opaque site IDs protect participants while preserving every site count, share, identifiable estimate, unsupported tail, and site-exclusion result.

TOPOLOGY

Site count, smallest N, and maximum cohort share.

WITHIN SITE

W and S(10K), or null when the tail is unsupported.

SITE EXCLUSION

Complete leave-one-site-out table and maximum absolute shift.

BOUNDARY

No geographic, dwelling, cultural, or population generalization claim.

04 / LOCAL VERIFIER

Bind every site.
Recompute every view.

The verifier runs locally against opaque site assignments and endpoint rows. It checks prospective design, topology, pooled identity, site results, site-exclusion sensitivity, digests, and independent attestation.

LOCAL SITE HETEROGENEITY VERIFIERPROFILE / 0.2-SH1

SITE ASSIGNMENTS + ENDPOINT ROWS + CLAIMED OUTPUTS

{
  "profile_version": "0.2-SH1",
  "target_certification": "WANTED_WILD",
  "analysis_profile_version": "0.2-A2",
  "design": {
    "frozen_at": "2025-12-15T00:00:00Z",
    "first_benchmark_activity_at": "2026-01-01T00:00:00Z",
    "site_definition": "One independently managed recruitment and field-operations unit.",
    "minimum_sites": 3,
    "minimum_environments_per_site": 3,
    "maximum_site_share": 0.5,
    "opaque_public_site_ids": true,
    "pooled_score_unchanged": true
  },
  "records": [
    {
      "environment": "site_alpha_complete_1",
      "site_id": "site_alpha",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_alpha_complete_2",
      "site_id": "site_alpha",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_alpha_complete_3",
      "site_id": "site_alpha",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_alpha_complete_4",
      "site_id": "site_alpha",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_alpha_reject_1",
      "site_id": "site_alpha",
      "resident_hours": 2500,
      "disposition": "rejected"
    },
    {
      "environment": "site_alpha_censor_1",
      "site_id": "site_alpha",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_alpha_censor_2",
      "site_id": "site_alpha",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_alpha_censor_3",
      "site_id": "site_alpha",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_beta_complete_1",
      "site_id": "site_beta",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_beta_complete_2",
      "site_id": "site_beta",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_beta_complete_3",
      "site_id": "site_beta",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_beta_reject_1",
      "site_id": "site_beta",
      "resident_hours": 2500,
      "disposition": "rejected"
    },
    {
      "environment": "site_beta_censor_1",
      "site_id": "site_beta",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_beta_censor_2",
      "site_id": "site_beta",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_beta_censor_3",
      "site_id": "site_beta",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_beta_censor_4",
      "site_id": "site_beta",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_gamma_complete_1",
      "site_id": "site_gamma",
      "resident_hours": 10000,
      "disposition": "completed"
    },
    {
      "environment": "site_gamma_reject_1",
      "site_id": "site_gamma",
      "resident_hours": 2500,
      "disposition": "rejected"
    },
    {
      "environment": "site_gamma_reject_2",
      "site_id": "site_gamma",
      "resident_hours": 2500,
      "disposition": "rejected"
    },
    {
      "environment": "site_gamma_censor_1",
      "site_id": "site_gamma",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_gamma_censor_2",
      "site_id": "site_gamma",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_gamma_censor_3",
      "site_id": "site_gamma",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_gamma_censor_4",
      "site_id": "site_gamma",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    },
    {
      "environment": "site_gamma_censor_5",
      "site_id": "site_gamma",
      "resident_hours": 2500,
      "disposition": "unrelated_censor"
    }
  ],
  "claimed": {
    "environment_count": 24,
    "site_count": 3,
    "smallest_site_n": 8,
    "maximum_site_share": 0.333333333,
    "pooled_wanted_score": 87.5,
    "pooled_survival_at_10000": 0.833333333,
    "identifiable_site_count": 3,
    "site_wanted_min": 81.25,
    "site_wanted_max": 90.625,
    "site_wanted_range": 9.375,
    "leave_one_site_out_maximum_absolute_shift": 3.125,
    "leave_one_site_out_unidentifiable": 0,
    "site_profiles": [
      {
        "site_id": "site_alpha",
        "environment_count": 8,
        "environment_share": 0.333333333,
        "wanted_score": 90.625,
        "survival_at_10000": 0.875,
        "horizon_identifiable": true
      },
      {
        "site_id": "site_beta",
        "environment_count": 8,
        "environment_share": 0.333333333,
        "wanted_score": 90.625,
        "survival_at_10000": 0.875,
        "horizon_identifiable": true
      },
      {
        "site_id": "site_gamma",
        "environment_count": 8,
        "environment_share": 0.333333333,
        "wanted_score": 81.25,
        "survival_at_10000": 0.75,
        "horizon_identifiable": true
      }
    ],
    "leave_one_site_out": [
      {
        "excluded_site_id": "site_alpha",
        "remaining_environment_count": 16,
        "wanted_score": 85.9375,
        "shift_from_pooled": -1.5625
      },
      {
        "excluded_site_id": "site_beta",
        "remaining_environment_count": 16,
        "wanted_score": 85.9375,
        "shift_from_pooled": -1.5625
      },
      {
        "excluded_site_id": "site_gamma",
        "remaining_environment_count": 16,
        "wanted_score": 90.625,
        "shift_from_pooled": 3.125
      }
    ]
  },
  "bindings": {
    "cohort_integrity_sha256": "c10123456789abcdef0123456789abcdef0123456789abcdef0123456789abcd",
    "endpoint_table_sha256": "e20123456789abcdef0123456789abcdef0123456789abcdef0123456789abcd",
    "analysis_reproduction_sha256": "a30123456789abcdef0123456789abcdef0123456789abcdef0123456789abcd",
    "preregistration_sha256": "b40123456789abcdef0123456789abcdef0123456789abcdef0123456789abcd"
  },
  "evidence": {
    "site_assignment_register_uri": "https://example.org/wanted-site-assignments.json",
    "site_assignment_register_sha256": "c50123456789abcdef0123456789abcdef0123456789abcdef0123456789abcd",
    "reproduction_log_uri": "https://example.org/wanted-site-heterogeneity.json",
    "reproduction_log_sha256": "d60123456789abcdef0123456789abcdef0123456789abcdef0123456789abcd",
    "public_aggregate_only": true
  },
  "assessor": {
    "name": "Synthetic Multi-Site Auditor",
    "organization": "Independent Example Assurance",
    "independent_of_sponsor": true,
    "attested": true,
    "signed_at": "2026-08-28T18:00:00Z"
  }
}

SITE HETEROGENEITYPASSEDAll seven multi-site gates pass.

POOLED W87.500

SITES3

MAX SITE SHARE33.3%

MAX SITE-OUT SHIFT3.125

site_alpha90.625N=8 · 33.3%

site_beta90.625N=8 · 33.3%

site_gamma81.250N=8 · 33.3%

SH1

FROZEN SITE DESIGN

Site definition and dominance limits were frozen before benchmark activity.

PASS

SH2

MULTI-SITE SUPPORT

At least three substantive sites contribute without one site exceeding half the cohort.

PASS

SH3

BOUND ENDPOINT ROWS

Every unique environment maps to one opaque site and a rankable A2 endpoint.

PASS

SH4

POOLED SCORE IDENTITY

The pooled W and S(10K) reproduce without reweighting or score substitution.

PASS

SH5

SITE-SPECIFIC DISCLOSURE

Every site-specific W is reported when identifiable and null otherwise.

PASS

SH6

LEAVE-ONE-SITE-OUT

Every site exclusion is recomputed and maximum pooled-score sensitivity is disclosed.

PASS

SH7

BOUND INDEPENDENT AUDIT

Controlled site assignments and the reproduction log are digest-bound and independently attested.

PASS

HETEROGENEITY != RANK

W alone orders eligible WILD entries. Site range, dominance, and leave-one-site-out shift are mandatory public diagnostics and forbidden tiebreakers.

OPEN LEADERBOARD ->

One score.More than one site.

Spread the evidence.Expose the dependence.

Partition the rows.Do not move the goalposts.

Show wherethe score moves.

Bind every site.Recompute every view.

One score.
More than one site.

Spread the evidence.
Expose the dependence.

Partition the rows.
Do not move the goalposts.

Show where
the score moves.

Bind every site.
Recompute every view.