Statistical audit & measurement

Check whether a number is fit to decide on: coverage, timing, reconciliation, and the gaps a dashboard hides.

77 of 388 tools.

Aggregate risk register copula

Aggregate risk-register occurrence and lognormal severity marginals through a validated Gaussian copula into expected loss, VaR, CVaR, dependence amplification, and tail shares.

Risk, tails & resilience Statistical audit & measurement

Audit agentic action control integrity

Audit operational AI-agent actions from bounded least-privilege permission scope through independently tested authorization, approval, sandbox, monitoring, rollback or compensation, and kill-switch controls, counting unique value exposure once.

AI risk, rights & assurance Statistical audit & measurement

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.

Measurement integrity Statistical audit & measurement

Audit AI capability fallback integrity

Prove that every aggregate capability required when AI is unavailable has a current approved runbook and a sufficiently large, timely, successful, independently observed exercise conducted with AI actually disabled.

AI cost, routing & return Statistical audit & measurement

Audit AI data rights provenance integrity

Audit every AI training, fine-tuning, retrieval, evaluation, logging and persisted-output use against an immutable rights grant and the complete derivative lineage, including time, revocation, deletion, purpose, jurisdiction, consent, derivative and evidence gates.

AI risk, rights & assurance Statistical audit & measurement

Audit AI inference cost allocation integrity

Reconcile provider AI invoices bottom-up to workload and route usage, price terms, cached requests, retries, fixed charges and credits without combining currencies or silently allocating unexplained spend.

AI cost, routing & return Statistical audit & measurement

Audit AI output IP provenance integrity

Audit aggregate AI outputs against the exact model and provider terms effective at generation, pre-commercialization similarity evidence, counsel-owned ownership/use rules, human review and any claimed indemnity coverage.

AI risk, rights & assurance Statistical audit & measurement

Audit AI privacy budget integrity

Recompute each aggregate AI privacy account from its immutable release ledger using additive Rényi differential-privacy composition and target-delta conversion, while auditing order grids, sequence, hashes, accounting periods, purpose, review approval, evidence and claimed-versus-actual budget spend.

AI risk, rights & assurance Statistical audit & measurement

Audit AI regulatory obligation evidence integrity

Audit point-in-time AI-system classification, counsel-supplied obligation applicability, control evidence and incident-reporting clocks without pretending to infer law.

AI risk, rights & assurance Statistical audit & measurement

Audit AI workflow trace value integrity

Audit every AI workflow execution from root trace through model, tool, cache, review and control steps to one mature business outcome, reconciling parent lineage, retries, wall-clock latency, direct cost and uniquely attributed net value while retaining unfinished work.

AI cost, routing & return Statistical audit & measurement

Audit analytical specification multiverse

Audit whether an analytical conclusion survives a prespecified multiverse of admissible windows, cohorts, metrics, and models using aligned bootstrap draws, a weighted specification curve, practical-effect support gates, and descriptive choice-influence diagnostics.

Analytics assurance & orchestration Statistical audit & measurement

Audit analytics challenger independence

Audit whether an analytical challenger supplies genuinely independent error information: use paired temporal moving-block bootstrap bounds on error correlation, incumbent-failure catch rate and common-mode joint failure, with simultaneous Bonferroni control across every screened challenger and explicit evidence gates.

Analytics assurance & orchestration Statistical audit & measurement

Audit analytics function calibration readiness

Gate analytical functions on paired out-of-time decision loss against a frozen baseline using temporal moving-block bootstrap, autocorrelation- and weight-adjusted effective sample size, evidence coverage, lower confidence bounds, improvement probability and recent degradation rather than declaring a model calibrated from training fit.

Analytics assurance & orchestration Statistical audit & measurement

Audit attention fragmentation evidence integrity

Audit consented point-in-time contributor identity, availability, privacy-safe calendar metadata and work-session lineage before reporting aggregate meeting load, protected focus blocks or cross-project switching.

People, retention & knowledge Statistical audit & measurement

Audit cash flow timing consistency

Audit whether economic-event and cash-settlement timing obey governed lag rules across coherent scenarios, quantify the resulting NPV distortion, reconstruct scenario liquidity paths, and separate timing exceptions from liquidity-tail exposure without treating exceptions as wrongdoing.

Finance & unit economics Statistical audit & measurement

Audit CI pipeline evidence integrity

Audit the complete point-in-time change-to-pipeline-to-job-to-rerun cohort, exposing missing CI, orphan records, future leakage, inconsistent required-job outcomes, incomplete provider evidence and same-configuration fail-then-pass flake proxies without scoring people.

Quality, incidents & reliability Statistical audit & measurement

Audit cost allocation consistency

Audit whether shared engineering, platform, cloud, vendor, or operating cost pools reconcile to source totals and follow their declared pro-rata allocation bases at every target.

Finance & unit economics Statistical audit & measurement

Audit cost capitalization sensitivity

Audit whether permitted software-cost capitalization choices change reported project ROI and priority even though scenario cash NPV, downside, and economic rank are unchanged.

Finance & unit economics Statistical audit & measurement

Audit cyber control evidence integrity

Audit whether claimed defense in depth is supported by current independent control tests mapped to declared attack-path steps, while preserving duplicate mappings and counting each exposed business asset only once.

Security, access & compliance Statistical audit & measurement

Audit decision execution fidelity

Audit whether approved decisions actually became verified implementation at the promised aggregate-unit and component grain, with whole-unit bootstrap uncertainty and simultaneous gates for fidelity, overdue scope, unverifiable evidence, exceptions and critical gaps.

Delivery forecasting & commitments Statistical audit & measurement

Audit decision flow integrity

Audit management decision histories for unresolved work, state cycles, unowned dwell and excessive lead-time tails using immutable event sequences, whole-decision bootstrap uncertainty, simultaneous flow-level gates and state bottleneck diagnostics.

Org design, incentives & decisions Statistical audit & measurement

Audit decision rank robustness smaa

Measure rank acceptability, regret, pairwise dominance, and central winning weights under uncertain criterion scores and bounded stakeholder weights.

Risk, tails & resilience Statistical audit & measurement

Audit delivery to cash chain integrity

Reconcile each governed milestone from delivery-ready evidence through customer acceptance, billing eligibility, net invoicing and collected cash; enforce temporal ordering, eligible-unbilled and outstanding-receivable identities, evidence separation and bounded diagnostics without treating Git activity as an accounting fact.

Finance & unit economics Statistical audit & measurement

Audit executive technology reporting integrity

Audit a frozen executive technology pack for complete metric/risk scope, point-in-time source and definition lineage, numerical reconciliation, supported narrative direction, independent review and evidence coverage.

Org design, incentives & decisions Statistical audit & measurement

Audit extreme metric tail dependence

Detect extreme metric co-exceedances beyond independence with empirical tail coefficients, permutation inference, practical magnitude gates, and FDR control.

Risk, tails & resilience Statistical audit & measurement

Audit financing term sheet integrity

Audit startup financing terms as exact share, price, proceeds and ownership identities: include pre-money option-pool increases and converting instruments in the pricing denominator, keep secondary purchases out of company cash and post-money share creation, reconcile primary issuance, post-money equity value and reported investor ownership, and retain evidence failures and impossible fees or secondary sales.

Investment & portfolio choice Statistical audit & measurement

Audit incident learning evidence integrity

Audit the complete point-in-time incident-to-postmortem-to-corrective-action lineage, separating missing or contradictory evidence from genuine overdue learning debt without attributing individual fault.

Quality, incidents & reliability Statistical audit & measurement

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.

Measurement integrity Statistical audit & measurement

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.

Measurement integrity Statistical audit & measurement

Audit KPI threshold bunching

Detect a post-target excess concentration immediately above a governed KPI threshold: compare within-unit pre/post local mass and above-versus-below mirror asymmetry, bootstrap whole units, report density bins and a smoothed log-density jump, and explicitly refuse to equate bunching with individual gaming or intent.

Delivery forecasting & commitments Statistical audit & measurement

Audit metric regime stability

Detect practical structural breaks across aggregate metric histories with recursive max-CUSUM search, moving-block null resampling, and familywise false-alarm control, then identify the defensible baseline regime.

Risk, tails & resilience Statistical audit & measurement

Audit multigroup metric measurement invariance

Audit whether a multi-indicator aggregate management metric measures a comparable one-factor construct across teams, products, repositories, periods, or companies: fit training-only pooled and group PCA loadings, test configural dominance, metric loading cosine, scalar intercept range, residual variance, and untouched-test reconstruction invariance before any group ranking is trusted.

Org design, incentives & decisions Statistical audit & measurement

Audit multivariate metric drift

Detect material distribution shifts with reference-fixed quantile bins, PSI, Jensen-Shannon divergence, standardized Wasserstein distance, permutation tests, and FDR control.

Measurement integrity Statistical audit & measurement

Audit onboarding mentorship evidence integrity

Audit point-in-time onboarding cohorts, ordered autonomy milestones, source completeness and corroborated mentorship windows before publishing privacy-safe ramp evidence.

People, retention & knowledge Statistical audit & measurement

Audit order to cash bridge integrity

Reconcile the operational finance chain period by period: remaining performance obligation equals opening RPO plus bookings minus scope reductions and recognized revenue; signed net contract position equals opening position plus net billings minus revenue; accounts receivable equals opening AR plus net billings minus cash and write-offs; then enforce continuity, evidence and impossible-balance gates.

Finance & unit economics Statistical audit & measurement

Audit org health score integrity

Reconstruct the organization-health composite from frozen component evidence and block publication when source completeness, consent, versioning, construct balance, cross-group measurement invariance, redundancy, privacy or leave-one-component stability fails.

People, retention & knowledge Statistical audit & measurement

Audit organizational change simulation integrity

Audit whether an organizational or technology what-if simulation is fit for reliance by checking point-in-time model lineage, local history, factor support, second-order dependency structure, calibration, scenario reconciliation and individual-level safeguards.

Org design, incentives & decisions Statistical audit & measurement

Audit point in time model integrity

Gate an analytical or AI model on point-in-time correctness by auditing actual feature availability, snapshot creation, target-window ordering, outcome resolution, source-record reuse, and embargoed train/calibration/test boundaries, with row and feature diagnostics rather than a generic leakage warning.

Measurement integrity Statistical audit & measurement

Audit proxy metric integrity

Audit whether an incentivized proxy structurally decoupled from outcomes or harmed guardrails using counterfactual residuals, bootstrap break tests, placebos, and multiplicity correction.

Measurement integrity Statistical audit & measurement

Audit recommendation coherence

Audit whether analytical recommendations for the same decision remain comparable, current, supported and coherent after every unique evidence lineage receives one vote split across its claimants, preventing duplicated source data from manufacturing consensus.

Analytics assurance & orchestration Statistical audit & measurement

Audit recurring revenue bridge integrity

Audit recurring revenue as a continuous stock/flow ledger: reconcile opening revenue through new, expansion, reactivation, contraction, churn, FX and acquisition/divestiture movements to closing revenue; require each next opening to equal the prior close; and recompute GRR and NRR on an organic existing-customer perimeter that cannot be inflated by new business, reactivation, FX or M&A.

Customer, revenue & pricing Statistical audit & measurement

Audit ROI denominator integrity

Reconcile each claimed ROI investment denominator with evidenced cost entries, required categories, inclusion fractions, and shared evidence identity, then recompute ROI before a business case reaches prioritization.

Finance & unit economics Statistical audit & measurement

Audit service continuity recovery evidence integrity

Audit whether each critical service has a current, independently reviewed recovery plan whose complete capability/dependency path, backup, restore, failover, communications, RTO and RPO were proven in a recent production-representative exercise.

Risk, tails & resilience Statistical audit & measurement

Audit sunk cost escalation

Audit whether cumulative sunk cost predicts aggregate project continuation after project fixed effects, checkpoint time, forward value, success probability, remaining cost, and future irreversibility, with project-cluster bootstrap uncertainty.

Delivery forecasting & commitments Statistical audit & measurement

Audit technical asset lifecycle integrity

Audit technical-asset lifecycle and value lineage across placed-in-service, assessment and retirement events; detect orphan active assets, stale recoverability evidence, active value links after retirement, remaining book value on retired assets and duplicated value-source attribution without treating engineering activity as accounting evidence.

Finance & unit economics Statistical audit & measurement

Audit technology diligence evidence integrity

Audit a frozen technology diligence case against buyer-declared system/domain/claim scope, management assertions and fresh, rights-cleared, independently reviewed point-in-time evidence.

Investment & portfolio choice Statistical audit & measurement

Audit technology financing plan integrity

Audit multi-period technology financing plans as continuous sources-and-uses ledgers: reconcile cash and debt identities, opening-to-closing continuity, period completeness, verified evidence, liquidity headroom and reported versus computed net-leverage covenants without hiding undefined leverage behind a favorable ratio.

Finance & unit economics Statistical audit & measurement

Audit technology loss scenario integrity

Audit a technology loss-scenario ledger as a complete, zero-inclusive, point-in-time financial perimeter: reconcile every expected aggregate exposure and source, freeze scenario/currency/price basis, enforce evidence and privacy, and detect economic-loss lineage reused outside an explicit shared-loss group.

Risk, tails & resilience Statistical audit & measurement

Audit technology risk appetite integrity

Audit whether board technology-risk appetite is executable rather than rhetorical: verify approval and point-in-time lineage, reconcile the root to finance limits, cover every aggregate risk unit exactly once, validate an acyclic owner/action limit tree, cap unsupported diversification credit and surface every breach with an executable escalation.

Risk, tails & resilience Statistical audit & measurement

Audit value realization chain integrity

Audit one frozen aggregate cohort chain from eligible strategy scope through implementation, adoption, business outcome, monetization and cash collection, using whole-cohort bootstrap and simultaneous conversion, end-to-end, evidence and support gates.

Investment & portfolio choice Statistical audit & measurement

Audit workforce identity access evidence integrity

Audit the point-in-time chain from an opaque workforce subject through authorized accounts, independent identity evidence, approved least-privilege grants and MFA/device-backed access events.

Security, access & compliance Statistical audit & measurement

Calculate financing exit waterfall

Calculate a financing exit waterfall across coherent outcomes with debt and transaction costs, preferred seniority, equal-rank pro-rata shortfall, liquidation preferences, participating residual, iterative participation caps and endogenous class-by-class conversion; require a pure no-profitable-deviation conversion equilibrium, exact payout reconciliation and verified security/scenario evidence before reporting stakeholder payout, MOIC, annualized return and downside.

Investment & portfolio choice Statistical audit & measurement

Calculate human AI decision system value

Calculate the complete economic value of a prospectively validated human-AI decision system from coherent volume and loss scenarios after implementation, AI operation, human review and decision-delay costs, with positive-value probability, return-on-cost and CVaR downside.

AI cost, routing & return Statistical audit & measurement

Calculate incremental cost effectiveness ratio

Construct a probabilistic incremental cost-effectiveness frontier from jointly aligned cost and outcome scenarios; remove strict and extended dominance before calculating ICERs, and select by expected net benefit plus a cost-effectiveness acceptability curve at organization-owned willingness-to-pay thresholds.

Delivery forecasting & commitments Statistical audit & measurement

Construct deterministic project pareto frontier

Construct the exact practically nondominated frontier and successive Pareto layers across projects, products, vendors, or investments without hiding tradeoffs behind arbitrary score weights.

Investment & portfolio choice Statistical audit & measurement

Construct stochastic pareto frontier

Construct a stochastic Pareto frontier from aligned joint criterion scenarios using scenario-wise frontier membership and pairwise practical chance dominance rather than dominance of point estimates.

Investment & portfolio choice Statistical audit & measurement

Decompose product margin change

Decompose product operating-profit and margin change across volume, price, variable unit cost, and fixed cost using an order-invariant exact Shapley bridge.

Finance & unit economics Statistical audit & measurement

Design incentive compatible metric contract

Design metric weights and audit rates as a robust Stackelberg contract, anticipating effort, gaming, detection, guardrail harm, and adversarial equilibrium tie-breaking.

Org design, incentives & decisions Statistical audit & measurement

Estimate budget contingency reserve

Size an engineering or investment contingency reserve from one coherent joint cost distribution, stress represented scenario probabilities inside a governed total-variation radius, preserve natural offsets, and exactly reconcile robust tail overrun to aggregate cost items.

Delivery forecasting & commitments Statistical audit & measurement

Estimate competing delivery risks

Estimate age-conditional probabilities of delivery, cancellation, escalation, or remaining active with Aalen-Johansen competing risks and bootstrap intervals.

Delivery forecasting & commitments Statistical audit & measurement

Estimate cost of delay distribution

Translate probabilistic delivery delay into discounted contribution-value loss, permanent value decay, and governed penalties, including expected cost, tail cost, and the probability of material exposure.

Investment & portfolio choice Statistical audit & measurement

Estimate engineering extreme value risk

Estimate rare incident, delay, loss, or pipeline-duration return levels with peaks-over-threshold generalized-Pareto fitting, bootstrap uncertainty, and threshold-stability diagnostics.

Risk, tails & resilience Statistical audit & measurement

Estimate engineering learning curve

Estimate a team-fixed-effects power-law learning curve with work-size adjustment, cluster bootstrap uncertainty, and a defect-rate quality guardrail.

Capacity, staffing & flow Statistical audit & measurement

Estimate financing dilution scenarios

Estimate financing dilution with a scenario cap-table waterfall that solves pre-money option-pool top-ups and capped or discounted convertible claims before allocating post-money ownership.

Investment & portfolio choice Statistical audit & measurement

Estimate FX exposure for engineering

Measure base-currency engineering cash-flow exposure across coherent amount and FX-rate scenarios, preserving natural netting, executable hedge payoffs and premiums, expected loss, CVaR, hedge effectiveness, and exactly reconciled currency tail contributions.

Finance & unit economics Statistical audit & measurement

Estimate liquidity at risk

Estimate liquidity-at-risk, tail funding need, committed-facility exhaustion probability, and residual unfunded shortfall from aligned operating paths.

Finance & unit economics Statistical audit & measurement

Estimate marginal engineering ROI

Evaluate an ordered engineering investment curve increment by increment, stopping at the first increment that misses its marginal ROI or downside-probability hurdle.

Finance & unit economics Statistical audit & measurement

Estimate model risk reserve

Calculate an explicit model-risk reserve from the upper weighted quantile of competing approved models' CVaR loss relative to their weighted CVaR, with disagreement and model-level diagnostics.

Finance & unit economics Statistical audit & measurement

Estimate productivity rebound effect

Estimate how much aggregate capacity released by a productivity intervention is absorbed by induced output or workload using stacked matched-cohort log difference-in-differences; separate fixed-output efficiency, induced output and total resource use, audit pretrends, reconcile the log identity, and cluster-bootstrap rebound uncertainty including backfire above 100 percent.

Delivery forecasting & commitments Statistical audit & measurement

Estimate role adjusted contribution

Estimate role-relative outcome contributions with empirical-Bayes shrinkage, uncertainty, provenance, and cohort privacy.

People, retention & knowledge Statistical audit & measurement

Estimate synthetic control impact

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

Causal evidence & experiments Statistical audit & measurement

Estimate team stochastic frontier

Estimate a Cobb-Douglas team production frontier with half-normal inefficiency, symmetric noise, conditional efficiency, and bootstrap uncertainty.

Capacity, staffing & flow Statistical audit & measurement

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.

Causal evidence & experiments 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.

Causal evidence & experiments Statistical audit & measurement

Explain metric shift shapley

Fit a cross-validated second-order ridge response surface and decompose its reference-to-current aggregate metric shift with an efficiency-preserving Shapley allocation, bootstrap uncertainty, and an explicit unexplained residual.

People, retention & knowledge Statistical audit & measurement

Fit cross fitted isotonic recalibrator

Repair monotone probability calibration with pool-adjacent-violators while using cross-fitting and a paired bootstrap to prove out-of-sample Brier improvement.

Measurement integrity Statistical audit & measurement

Score evidence readiness

Gate an analytical claim on coverage, freshness, identity resolution, sample size, and source agreement.

Measurement integrity Statistical audit & measurement

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