Multiple Comparison Procedures for Dose-Ranging Studies
A practical guide to multiple comparison procedures for dose-ranging clinical trials, including Dunnett
Holm-Bonferroni Step-Down Procedure
A practical guide to the Holm-Bonferroni step-down procedure for controlling family-wise error rate, including the algorithm, adjusted p-values, a complete worked example, comparison with ordinary Bonferroni, and implementation in R and SAS.
Hochberg and Hommel Procedures
A practical guide to the Hochberg and Hommel procedures for controlling the family-wise error rate in multiple hypothesis testing, including step-up testing, Simes tests, worked examples, adjusted p-values, assumptions, R implementation, and comparisons with Bonferroni and Holm.
Hierarchical Testing Strategies in Clinical Trials
A practical guide to hierarchical testing strategies in clinical trials, including fixed-sequence testing, gatekeeping procedures, multiple endpoints, familywise error control, graphical approaches, testing hierarchies, confirmatory analyses, and worked examples.
Graphical Approaches to Multiple Testing
A practical guide to graphical approaches for multiple testing in clinical trials, including weighted hypotheses, alpha allocation, transition weights, alpha recycling, gatekeeping, graphical procedures, FWER control, and a complete worked example.
Gatekeeping Procedures for Multiple Endpoints
A practical guide to gatekeeping procedures for multiple endpoints in clinical trials, including hierarchical testing, parallel gatekeeping, serial gatekeeping, graphical approaches, type I error control, power, worked examples, and implementation in R.
Family-Wise Error Rate vs. False Discovery Rate
A practical guide to family-wise error rate (FWER) versus false discovery rate (FDR), including definitions, multiple testing, Bonferroni, Holm, Benjamini-Hochberg, clinical trial applications, worked examples, and R implementation.
False Discovery Rate (FDR) Control
A practical guide to False Discovery Rate control, including the Benjamini–Hochberg procedure, ordered p-values, rejection thresholds, adjusted p-values, worked examples, R implementation, assumptions, and applications to clinical trials and high-dimensional analyses.
Closed Testing Procedures Explained
A practical guide to closed testing procedures for multiplicity control in clinical trials, including the closure principle, elementary hypotheses, local tests, adjusted p-values, gatekeeping, strong family-wise error control, and a complete worked example.
Bonferroni Correction Explained
A practical guide to the Bonferroni correction for multiple comparisons, including family-wise error rate, adjusted significance levels, adjusted p-values, clinical trial examples, confidence intervals, R implementation, and common mistakes.