Statistical Models & Predictive Frameworks

From first principles to production: interpretable models, clean assumptions, and decision-ready uncertainty.

Explore the Toolkit

Academic rigor

Training and research across leading universities in psychology, measurement, and quantitative methods.

National research

High-stakes analytics in credentialing and public-interest contexts—where validity and auditability matter.

Big tech & consulting

People analytics, product-adjacent data science, and leadership/selection analytics—built for operators.

Where theory meets computation

PrimeStata combines classical inference with modern ML so leaders get two things at once: why something works (structure, assumptions, effect sizes) and how well it works (generalization, error bands, lift).

Regression craft & variance partitioning

Anatomy of prediction

Linear/logistic models with careful feature design, transformations, and interaction terms to reflect theory.

  • R² / adjusted R²; partial η² for contribution
  • Standardization (z-scores, beta weights) for comparability
  • Outlier & influence checks (Cook’s D, leverage)

Assumptions & diagnostics

Make assumptions visible and fixable; only then are p-values and intervals decision-grade.

  • Linearity, independence, normality of residuals
  • Homoscedasticity vs. heteroskedasticity (robust SEs)
  • Multicollinearity (VIF), residual structure & misspecification

Moderation & mediation

Model mechanisms and boundary conditions, not just correlations.

  • Interaction terms & simple slopes
  • Indirect effects (bootstrapped CIs)
  • Sequential/parallel mediation, moderated mediation

Core modeling frameworks

GLM family

Linear, logistic, Poisson/negative binomial; link-function logic with interpretable parameters and robust errors.

Multilevel / mixed effects

Random intercepts & slopes for clustered data (teams, sites, time); cross-level moderation & shrinkage estimates.

Time series

ARIMA/ETS with seasonality, intervention analysis, and state-space models for operations and finance signals.

Survival / hazard

Cox PH, parametric survival, and competing risks for churn, retention, and time-to-event strategy.

Dimensionality

PCA/FA for structure finding; regularization (ridge/LASSO/elastic net) for parsimonious, stable predictors.

Bayesian inference

Hierarchical priors for partial pooling, posterior predictive checks, and decision-ready uncertainty summaries.

Data hygiene, uncertainty & robustness

Missingness

MCAR/MAR assessments, multiple imputation, sensitivity analyses, and transparent exclusions.

Validation

Holdout/CV, temporal splits, leakage prevention, and calibration curves for probability models.

Uncertainty

Effect sizes with CIs, prediction intervals, bootstrap stability, and practical significance thresholds.

Methods in practice

People & org analytics

Selection models, leadership/assessment utility, engagement drivers; adverse-impact audits with robust SEs.

Product & operations

Demand & capacity forecasting, quality/cycle-time models, uplift experiments, and risk-aware rollouts.

Finance & growth

Portfolio tilts, event studies, pricing elasticity, and cohort LTV models with survival and hazards.

Artifacts & deliverables

Model brief

Plain-language summary, assumptions, key effects, and “how to use” guidance for decision-makers.

Tech appendix

Specs, diagnostics, code-book, fit indices, variance decomposition, robustness checks, and reproducibility notes.

Operator-ready views

Role-based dashboards, error bands, scenario toggles, and action thresholds wired to KPIs.

This modeling layer most directly supports Data Science work when leaders need forecasting, experimentation, or interpretable prediction tied to a concrete operational decision.

Explore the Service View Related Proof Discuss Scope

Partner on a modeling problem

Bring a dataset, a decision, or a hypothesis. We’ll map assumptions, choose an appropriate model, and ship interpretable results.

Request a Consultation

💬 Request a Consultation