Forecast intervention effect half life
Learn how quickly a governed intervention's effect decays across resolved cohorts using a shared exponential half-life, cohort-specific amplitudes, a persistent floor, reported standard errors, and a profiled Bayesian grid; then forecast effect/value paths and when each current intervention is likely to fall below a practical threshold.
What it's for
Turns one-off transformation claims into an executive durability forecast: leaders can see when an observed process, platform, reliability, or AI-assistant improvement is likely to fade and schedule evidence review before value silently disappears.
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 |
|---|---|---|---|
| confidence_level | number ≥ 0.8, ≤ 0.99 | Your calibration | Optional |
| current_interventions | array of objects (5 fields) ≥ 1 item | Evidence | Yes |
| direction | one of "higher_is_better", "lower_is_better" | Your calibration | Yes |
| half_life_grid_points | integer ≥ 20, ≤ 500 | Numerical control | Optional |
| historical_effects | array of objects (5 fields) ≥ 30 items | Evidence | Yes |
| horizon_periods | integer ≥ 1, ≤ 120 | Your calibration | Yes |
| max_detail_rows | integer ≥ 1, ≤ 500 | Numerical control | Optional |
| maximum_half_life | number > 0, ≤ 10000 | Your calibration | Optional |
| minimum_half_life | number > 0 | Your calibration | Optional |
| minimum_practical_effect | number ≥ 0 | Your calibration | Yes |
| minimum_review_probability | number ≥ 0.5, ≤ 0.99 | Your calibration | Optional |
| seed | integer | Numerical control | Optional |
| simulations | integer ≥ 500, ≤ 20000 | Numerical control | Optional |
Each current_interventions
record
| Field | Type | Required |
|---|---|---|
| elapsed_periods | number (≥ 0) | Yes |
| id | string (non-empty) | Yes |
| initial_effect | number | Yes |
| reinforcement_cost | number (≥ 0) | Optional |
| value_per_effect_unit_per_period | number (≥ 0) | Optional |
{
"current_interventions": [
{
"elapsed_periods": 0,
"id": "review-policy",
"initial_effect": 1,
"reinforcement_cost": 500,
"value_per_effect_unit_per_period": 1000
}
],
"direction": "higher_is_better",
"half_life_grid_points": 80,
"historical_effects": [
{
"cohort_id": "cohort-0",
"effect_estimate": 0.9,
"elapsed_periods": 0,
"id": "effect-0-0",
"standard_error": 0.05
},
{
"cohort_id": "cohort-0",
"effect_estimate": 0.7727171322029717,
"elapsed_periods": 1,
"id": "effect-0-1",
"standard_error": 0.05
},
{
"cohort_id": "cohort-0",
"effect_estimate": 0.6656854249492381,
"elapsed_periods": 2,
"id": "effect-0-2",
"standard_error": 0.05
},
{
"cohort_id": "cohort-0",
"effect_estimate": 0.5756828460010884,
"elapsed_periods": 3,
"id": "effect-0-3",
"standard_error": 0.05
},
{
"cohort_id": "cohort-0",
"effect_estimate": 0.5, Truncated for display — the full payload is 580 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.
{
"assumptions": [
"Within the governed epoch, each cohort's benefit is a persistent floor plus a cohort-specific exponentially decaying component with a shared half-life.",
"Historical effect estimates are comparable, directionally aligned, and accompanied by valid standard errors from identified or appropriately adjusted designs.",
"Current initial effects are on the same scale as history; value conversion is owner-governed and does not turn association into causal ROI."
],
"decision": "reinforcement_review_likely_within_horizon",
"executive_summary": {
"expected_aggregate_value_at_horizon": 256.5455,
"half_life_p10": 3.3897,
"half_life_p50": 4.0034,
"half_life_p90": 4.7282,
"persistent_effect_posterior_mean": 0.0831,
"probability_any_below_practical_effect_now": 0,
"probability_any_below_practical_effect_within_horizon": 1
},
"intervention_forecast": [
{
"effect_at_horizon_interval": [
0.2098,
0.3003
],
"expected_effect_at_horizon": 0.2565,
"intervention_id": "review-policy",
"median_first_below_period": 7,
"probability_below_practical_effect_within_horizon": 1,
"reinforcement_cost": 500
}
],
"limitations": [
"The half-life is a local empirical durability parameter, not a biological constant or a benchmark transferable across companies.",
"A reinforcement review flag does not prove that reinforcement will restore the effect; that action needs its own effect and cost evidence.",
"High posterior boundary mass means the supplied half-life grid or decay family is inadequate and the decision should be treated as unstable."
],
"method": "profiled_bayesian_exponential_effect_half_life_v1",
"model_diagnostics": {
"posterior_boundary_mass": 0,
"selected_grid_half_life": 4.0034,
"selected_noise_scale": 1,
"standardized_weighted_rmse": 0.0008
},
"period_forecast": [
{
"aggregate_effect_p10": 1, Truncated for display — the full payload is 137 lines.
How it works
Sequential Bayesian & bandits — Learn while deciding — update beliefs as evidence arrives and choose where the next unit of effort is worth spending.
- 1 Directionally align comparable longitudinal effect estimates and their standard errors; require at least five cohorts with four or more observations beginning at elapsed period zero.
- 2 For every log-spaced half-life candidate, profile a weighted model with one shared persistent effect and one cohort-specific decaying amplitude, inflate uncertainty when residual dispersion exceeds reported standard errors, and convert relative likelihood into posterior grid weight.
- 3 Draw half-life and persistent-effect uncertainty, decay each current intervention from its locally supplied initial effect and age, and aggregate effect and governed value conversion across the forecast horizon.
- 4 Report posterior half-life, grid-boundary mass, model misfit, period distributions, and first-below-threshold probabilities; flag a reinforcement review rather than claiming reinforcement itself will work.
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
- The likelihood or reward model, prior support, action logging, delayed outcomes, and any stationarity assumptions match the deployment process.
- Within one stable intervention/metric epoch, effects follow a persistent floor plus cohort-specific exponential decay with a shared half-life and no unmodeled reinforcement or version change.
- Historical estimates use comparable causal or appropriately adjusted designs, common outcome units and horizons, valid standard errors, and explicit zero-period measurements.
- Current initial effects and ages share the historical scale; business value per effect unit is supplied by accountable owners rather than inferred from engineering activity.
- Posterior probability and adaptive selection are model-conditional; they are not substitutes for randomized propensities or guaranteed safety.
- The estimated half-life is local to the intervention, outcome, population, cadence, and epoch; it is not transferable from another company or a permanent organizational constant.
- A review flag is not an automated instruction to retrain, reorganize, reward, penalize, or repeat an intervention, because reinforcement effect and cost require separate evidence.
- Forecast value is conditional on the governed conversion supplied to the tool and is not causal ROI if the historical effects were not causally identified.
Minimum evidence
- historical_effects: at least 30 rows/items
- current_interventions: at least 1 rows/items
- direction: required and organization-defined
- horizon_periods: required and organization-defined
- minimum_practical_effect: required and organization-defined
How to validate it
Use chronological train/calibration/test windows, compare proper scores and decision value with a simple baseline, and recalibrate only from outcomes resolved after prediction time.
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
- comparable cohort-by-elapsed-period effect estimates and standard errors beginning at period zero
- current intervention age and initial effect on the identical directionally aligned outcome scale
- intervention version and cohort eligibility, effect estimator, outcome, cadence, direction, historical epoch, half-life grid, practical effect, review probability, current value conversion, and reinforcement cost
Calibration workflow
- 1 Define the management decision, target outcome, aggregate unit, privacy boundary, cadence, and prediction/intervention horizon for this organization.
- 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 Estimate statistical parameters on training history, but obtain costs, utilities, risk tolerance, practical-effect thresholds, capacity, and policy constraints from accountable decision owners.
- 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 Deploy only if the returned decision clears evidence, overlap, calibration, robustness, and guardrail checks; warning, unsupported, schema-gap, and fallback decisions are abstentions.
- 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": "learn how quickly a governed interventions" }
→ finds "forecast_intervention_effect_half_life"
gitrevio_capability_describe
{ "capability_id": "forecast_intervention_effect_half_life" }
→ returns the input schema and agent guidance shown on this page
gitrevio_capability_run
{ "capability_id": "forecast_intervention_effect_half_life", "arguments": { ... } }
→ returns the result shown above Works in Claude Desktop, Claude Code, Cursor, Cline, Continue.dev, Goose and Aider. See the MCP server.
Related tools
Audit policy feedback performativity
Audit whether deploying a probability-driven policy is associated with a changed score-to-outcome relationship: compute cluster-level exposed-versus-comparison pre/post differences in predictions, outcomes, calibration residuals, and Brier loss; bootstrap the assignment unit; and abstain when baseline balance or score overlap cannot support the comparison.
Discover environment invariant predictive model
Search every nonempty subset of up to eight candidate features for a sparse predictive relationship whose validation residual bias and error remain within governed limits across represented environments, select without touching the test split, and compare the chosen model once against the full model on future-held-out environment data.
Analyze deep uncertainty minimax regret
Apply Savage minimax regret when scenario probabilities are not defensible, compare maximin and equal-weight choices, and use PRIM-style iterative peeling to discover compact context boxes where the robust choice remains vulnerable.
Audit aggregate metric reversal
Detect Simpson's-paradox-style sign reversals between an executive aggregate relationship and its weighted within-stratum fixed-effect relationship, with whole-stratum bootstrap uncertainty and practical-magnitude gates.
Audit informative metric missingness
Audit whether aggregate metric availability is associated with a governed outcome using permutation inference, bootstrap intervals, practical effect gates, and false-discovery control.
Audit joint metric dependency drift
Detect changes in cross-metric dependence with empirical-copula ranks, random-feature permutation inference, sliced Wasserstein magnitude, and FDR-controlled pair diagnostics.