Estimate lee bounds under attrition

Partially identify a randomized treatment effect under differential outcome attrition using direction-aware fractional Lee trimming and bootstrap outer bounds.

What it's for

Keeps intervention claims honest when one randomized arm yields more observed outcomes, without pretending missingness is ignorable.

What you give it

Inputs split into evidence read from your connected systems, calibration your team owns, and numerical controls that affect precision but never the result's meaning.

Field Type Role Required
bootstrap_draws integer ≥ 200, ≤ 20000 Numerical control Optional
confidence_level number ≥ 0.8, ≤ 0.999 Your calibration Optional
minimum_practical_effect number ≥ 0 Your calibration Optional
monotone_selection_direction one of "treatment_weakly_increases_selection", "treatment_weakly_decreases_selection" Your calibration Optional
observations array of objects (4 fields) Evidence Yes
seed integer Numerical control Optional

Each observations record

Field Type Required
id string (non-empty) Yes
outcome number Optional
selected boolean Yes
treatment one of "0", "1" Yes
Example input
{
  "bootstrap_draws": 200,
  "minimum_practical_effect": 1,
  "observations": [
    {
      "id": "control-0",
      "outcome": 0,
      "selected": true,
      "treatment": 0
    },
    {
      "id": "control-1",
      "outcome": 0,
      "selected": true,
      "treatment": 0
    },
    {
      "id": "control-2",
      "outcome": 0,
      "selected": true,
      "treatment": 0
    },
    {
      "id": "control-3",
      "outcome": 0,
      "selected": true,
      "treatment": 0
    },
    {
      "id": "control-4",
      "outcome": 0,
      "selected": true,
      "treatment": 0
    },
    {
      "id": "control-5",
      "outcome": 0,
      "selected": true,
      "treatment": 0
    },
    {
      "id": "control-6",
      "outcome": 0,
      "selected": true,

Truncated for display — the full payload is 907 lines.

What you get back

This is the actual output of running the example above — computed by the same function the platform calls, not an illustration.

Example output
{
  "assumptions": [
    "Treatment is randomized, assignment precedes selection, and stable-unit treatment value plus consistency hold for the target outcome.",
    "Selection is monotone at unit level in the declared direction; treatment never moves selection in the opposite direction for any unit.",
    "Lee trimming identifies a bounded effect for always-selected units, not the full randomized population and not an individual-level effect.",
    "Bootstrap uncertainty is conditional on the design and declared monotonicity; severe selection-order instability should trigger more data rather than a causal claim."
  ],
  "decision": "effect_robustly_positive_under_attrition",
  "effect_bounds": {
    "lower": 2,
    "minimum_practical_effect": 1,
    "naive_selected_outcome_difference": 4.6667,
    "uncertainty_outer_interval": {
      "high": 8.3541,
      "low": 2
    },
    "upper": 6,
    "width": 4
  },
  "method": "randomized_lee_monotone_selection_bounds_v1",
  "sample": {
    "bootstrap_attempts": 201,
    "bootstrap_draws": 200,
    "confidence_level": 0.95,
    "control_rows": 80,
    "control_selected": 40,
    "monotonicity_consistency_fraction": 0.995,
    "rows": 160,
    "treated_rows": 80,
    "treated_selected": 60
  },
  "selection": {
    "control_rate": 0.5,
    "monotone_direction": "treatment_weakly_increases_selection",
    "rate_difference": 0.25,
    "treated_rate": 0.75,
    "trim_fraction_in_higher_selection_arm": 0.3333
  }
}

How it works

Causal inference & experiment design — Separate what a change caused from what merely moved alongside it.

  1. 1 Partially identify a randomized treatment effect under differential outcome attrition using direction-aware fractional Lee trimming and bootstrap outer bounds.
  2. 2 Evaluate the method-specific diagnostics and gates returned by the function, then abstain unless the declared decision clears them under locally governed thresholds.

Before you trust it

Every tool in the catalog ships with the conditions under which its answer is meaningful — and the conditions under which it should abstain instead of guessing.

Assumptions & guardrails

  • Assignment or adoption timing, interference policy, overlap, attrition, and outcome availability match the estimand encoded by the method.
  • A causal label is warranted only when design and diagnostic requirements pass; otherwise treat the result as descriptive or abstain.

Minimum evidence

  • observations: required and organization-defined

How to validate it

Preserve the assignment/adoption design and validate overlap, pre-period or placebo diagnostics, attrition, interference policy, and cluster-level uncertainty; never tune on the estimated effect.

Calibrating it to your org

Same for everyone

The mathematical kernel, validation rules, method version, and JSON output semantics are organization-independent; no tenant-trained coefficients or company benchmark is embedded in the function.

Specific to you

  • binary selection indicator
  • analysis outcome
  • randomized treatment assignment
  • monotone selection direction
  • minimum practical effect

Calibration workflow

  1. 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
  2. 2 Build a tenant-scoped historical cohort using only information available before each prediction or decision; preserve zero periods, censoring, assignment probabilities, and unresolved outcomes when the method requires them.
  3. 3 Estimate statistical parameters on training history, but obtain costs, utilities, risk tolerance, practical-effect thresholds, capacity, and policy constraints from accountable decision owners.
  4. 4 Validate on later time windows or held-out aggregate units at the deployment grain, against a simple baseline and the function-specific validation strategy.
  5. 5 Deploy only if the returned decision clears evidence, overlap, calibration, robustness, and guardrail checks; warning, unsupported, schema-gap, and fallback decisions are abstentions.
  6. 6 Monitor realized outcomes, data drift, coverage, and decision regret; recalibrate at a governed cadence or after a detected regime/definition change, never merely because a stakeholder dislikes the result.

Call it from your AI

You don't wire up 388 tools in your MCP client. The GitRevio MCP server exposes 18 tools, three of which let an agent search the catalog, read a tool's schema, and run it — so the assistant finds this one on its own.

gitrevio_capabilities_search
  { "q": "partially identify a randomized treatment effect" }
  → finds "estimate_lee_bounds_under_attrition"

gitrevio_capability_describe
  { "capability_id": "estimate_lee_bounds_under_attrition" }
  → returns the input schema and agent guidance shown on this page

gitrevio_capability_run
  { "capability_id": "estimate_lee_bounds_under_attrition", "arguments": { ... } }
  → returns the result shown above

Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.

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