Causal evidence & experiments

Establish that a change caused an outcome, rather than that the two moved together.

29 of 388 tools.

Audit causal claim negative controls

Gate a causal effect claim using prespecified negative outcome/exposure controls, Benjamini-Hochberg multiplicity control, and an omnibus chi-square falsification test.

Causal inference & experiment design

Audit cluster randomization integrity

Audit cluster-randomized experiments for practical baseline imbalance and differential outcome observation, with cluster-size-weighted standardized differences and assignment permutation diagnostics.

Causal inference & experiment design

Audit growth incrementality experiment integrity

Audit aggregate randomized growth experiments before anyone trusts channel incrementality: enforce unique experimental units, nondegenerate logged propensities, both arms, control-spend discipline, baseline balance, spillover and evidence gates; then estimate propensity-weighted baseline-adjusted contribution, cluster-unit bootstrap uncertainty and incremental return on spend.

Causal inference & experiment design

Audit joint outcome network integrity

Audit whether a company-specific Bayesian joint-outcome network is fit for reliance by validating point-in-time lineage, DAG and CPT completeness, effective support, protected-attribute exclusions, and strictly out-of-time outcome calibration against a baseline.

Sequential Bayesian & bandits

Audit staggered rollout identification

Audit staggered team-by-team adoption with not-yet-treated controls and require every simultaneous pre-period interval to fit inside a governed equivalence margin.

Causal inference & experiment design

Design balanced stepped wedge rollout

Assign teams or other aggregate clusters to capacity-constrained rollout waves with pair-exchange optimization of cumulative causal balance, represented population, and rollout risk.

Causal inference & experiment design

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.

Causal inference & experiment design

Estimate longitudinal policy effect MSM

Estimate repeated-intervention regime effects with stabilized inverse-probability weights, an explicit marginal structural model, cluster bootstrap uncertainty, and positivity gates.

Constrained optimization

Estimate network direct and spillover effects

Estimate direct, neighbor-spillover, and total effects under Bernoulli-randomized network interference using exact exposure probabilities and randomization inference.

Causal inference & experiment design

Estimate randomized causal mediation

Decompose a randomized intervention into natural direct and mediated effects with optional treatment-mediator interaction, bootstrap intervals, and total-effect reconciliation.

Causal inference & experiment design

Estimate staggered policy rollout effects

Estimate cohort-aware dynamic effects of a team-by-team policy rollout against not-yet-treated controls, with a simultaneous pretrend identification gate.

Causal inference & experiment design

Estimate switchback policy effect

Estimate randomized operational switchback effects with unit and period fixed effects, declared washout exclusions, distributed carryover lags, overlap enforcement, and whole-unit bootstrap uncertainty.

Causal inference & experiment design

Estimate synthetic control impact

Estimate intervention effects against a constrained donor-weighted counterfactual with placebo inference and donor sensitivity.

Statistical audit & measurement

Estimate threshold policy effect rdd

Estimate a local sharp or fuzzy regression-discontinuity effect for threshold-assigned policies, with weak-first-stage, density-manipulation, placebo, and bootstrap diagnostics.

Constrained optimization

Estimate transportable intervention effect

Transport intervention effects to a target environment with similarity-weighted random-effects meta-regression, support diagnostics, and leave-one-environment-out validation.

Statistical audit & measurement

Estimate value of flexibility

Value a strategy's pre-action signal-contingent flexibility against its best fixed action, including enablement cost, tail loss, and perfect-information headroom.

Statistical audit & measurement

Evaluate offline policy doubly robust

Estimate a proposed contextual policy's value from logged decisions using cross-fitted outcome models, doubly robust scores, paired bootstrap safety bounds, and overlap diagnostics.

Constrained optimization

Fit honest intervention policy tree

Learn an interpretable heterogeneous intervention rule using separate structure, effect-estimation, and untouched policy-evaluation samples.

Constrained optimization

Forecast growth channel response saturation

Learn organization-specific channel saturation from resolved aggregate incrementality estimates: fit a likelihood-weighted Bayesian grid of Hill response curves, reserve the newest periods for honest validation against a linear baseline, expose posterior boundary misspecification and evidence failures, and return contribution and marginal-return distributions for proposed spend levels.

Sequential Bayesian & bandits

Forecast joint engineering outcome distribution

Learn a company-local partially pooled discrete Bayesian network from complete mature observations, validate it strictly out of time against an independent baseline, and answer coherent conditional joint engineering-outcome queries with exact inference and Dirichlet posterior intervals.

Sequential Bayesian & bandits

Infer revealed policy preferences maxent irl

Infer aggregate linear state-feature rewards and their implied stochastic policy from sequential demonstrations using finite-horizon maximum-causal-entropy inverse reinforcement learning.

Causal inference & experiment design

Monitor sequential intervention experiment

Monitor cumulative binary intervention outcomes with beta-binomial posteriors, Bayes factors, expected regret, and preregistered success, harm, or futility stopping.

Sequential Bayesian & bandits

Optimize correlated experiment sequence

Sequence pure-learning experiments over correlated intervention effects using conjugate Gaussian updates, Gauss-Hermite lookahead, early stopping, and terminal deployment value.

Constrained optimization

Optimize model averaged joint outcome decision

Choose a governed aggregate engineering action across competing plausible Bayesian-network structures using pseudo-Bayesian out-of-time model weights, coherent joint outcome worlds, causal-identification mass, weighted CVaR, worst-model regret, decision stability and the expected value of resolving model uncertainty.

Causal inference & experiment design

Optimize multi period growth budget saturation

Allocate aggregate growth capital across channels and periods on coherent common scenarios while preserving channel-specific Hill saturation and carryover state: search discrete spend schedules, propagate contribution and unrestricted cash, and maximize expected net incremental value minus CVaR shortfall subject to total/period budgets, liquidity and contribution-probability gates, with exact certification or disclosed deterministic beam search.

Constrained optimization

Reconcile plan actual variance drivers

Reconcile plan-to-actual value variance with an exact, order-independent Shapley decomposition of a declared multilinear operating model.

Decision analysis

Simulate contextual thompson bandit

Simulate Bayesian contextual Thompson sampling and quantify intervention reward, regret, and policy uncertainty.

Sequential Bayesian & bandits

Solve budgeted bayesian experiment portfolio

Choose a budget- and resource-feasible portfolio of Bayesian experiments whose correlated observations can change multiple governed deployment decisions.

Sequential Bayesian & bandits

Stress test causal effect robustness

Quantify the omitted-confounder partial-R² strength required to erase a causal point estimate or its statistical significance, benchmarked against observed covariates.

Causal inference & experiment design

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