Publication Bias and Funnel Plots
A practical guide to publication bias and funnel plots in meta-analysis, including funnel plot interpretation, small-study effects, Egger
Propensity Score Matching in Observational Studies
A deep, computationally grounded guide to propensity score matching: a real confounding-by-indication demonstration that reverses a truly protective effect, propensity score estimation, matching with real balance diagnostics, and a comparison against covariate adjustment and inverse probability weighting.
Prior Distributions: Choosing and Justifying Priors
A practical and mathematical guide to choosing and justifying Bayesian prior distributions, including informative, weakly informative, skeptical, noninformative, and reference priors, prior elicitation, effective sample size, prior predictive checks, sensitivity analysis, clinical trial examples, and regulatory considerations.
Posterior Probability vs. P-Value: A Comparison
A practical and mathematical comparison of posterior probabilities and p-values, including Bayes
Polynomial and Spline Regression for Dose-Response
A computationally grounded guide to polynomial and spline regression for dose-response analysis, including linear, quadratic, cubic, and restricted cubic spline models, knot selection, model comparison, nonlinear effects, and clinical interpretation.
Parametric Survival Models: Weibull and Exponential
A deep, formula-by-formula guide to parametric survival models: the exponential and Weibull distributions with every parameter explained explicitly, both the proportional hazards and accelerated failure time parametrizations fit on the same data, and their exact algebraic relationship verified numerically.
PK/PD Modeling for Dose Selection
A practical guide to PK/PD modeling for dose selection, including pharmacokinetic exposure, pharmacodynamic response, exposure–response relationships, Emax models, indirect response models, simulations, target attainment, and selecting doses for clinical development.
Ordinal Logistic Regression for Clinical Outcomes
A computational guide to ordinal logistic regression and the proportional odds model: cumulative logits, odds-ratio interpretation, predicted probabilities, model assumptions, and what to do when proportional odds fails.
Optimal Biological Dose vs. Maximum Tolerated Dose
A practical guide to Optimal Biological Dose (OBD) versus Maximum Tolerated Dose (MTD), including dose-response relationships, dose-toxicity modeling, pharmacodynamic biomarkers, worked examples, and R implementation.
Network Meta-Analysis Explained
A practical guide to network meta-analysis, including treatment networks, direct and indirect evidence, transitivity, consistency, heterogeneity, relative treatment effects, ranking probabilities, SUCRA, league tables, node splitting, and R implementation.