--- title: "Pathological Simulation Scenarios" output: rmarkdown::html_vignette vignette: > %\VignetteIndexEntry{Pathological Simulation Scenarios} %\VignetteEngine{knitr::rmarkdown} %\VignetteEncoding{UTF-8} --- ```{r setup, include=FALSE} knitr::opts_chunk$set(collapse = TRUE, comment = "#>") library(gp3bayes) ``` The dedicated pathology generators make failure cases reproducible instead of leaving them as prose-only limitations. ## Binary scenarios ```{r} binary_scenarios <- c( "null_contrast", "weak_information", "severe_imbalance", "near_separation", "omitted_random_slope", "sparse_item_structure", "all_zero_participants", "rank_deficiency", "missing_outcomes" ) binary_results <- lapply( binary_scenarios, simulate_binary_pathology, seed = 2026 ) data.frame( scenario = binary_scenarios, expected_gate = vapply( binary_results, `[[`, character(1), "expected_gate" ) ) ``` A rank-deficient design is an explicit structural failure: ```{r} rank_failure <- simulate_binary_pathology( "rank_deficiency", seed = 2026 ) evaluate_pathological_simulation(rank_failure) plot(rank_failure) ``` ## Duration scenarios ```{r} duration_scenarios <- c( "null_ratio", "high_group_heterogeneity", "weak_information", "severe_imbalance", "heavy_tailed_contamination", "mixture", "censoring", "incorrect_unit", "zero_duration", "negative_duration" ) duration_results <- lapply( duration_scenarios, simulate_duration_pathology, seed = 2026 ) data.frame( scenario = duration_scenarios, expected_gate = vapply( duration_results, `[[`, character(1), "expected_gate" ) ) ``` Censoring and incorrect measurement units are semantic contract failures even when their numeric values could otherwise pass a simple range check. ```{r} censored <- simulate_duration_pathology("censoring", seed = 2026) wrong_unit <- simulate_duration_pathology("incorrect_unit", seed = 2026) evaluate_pathological_simulation(censored) evaluate_pathological_simulation(wrong_unit) ``` Heavy tails and mixtures are adequacy stress tests. They do not trigger an automatic switch to another likelihood.