R: Convex Optimal Designs for Group Testing Experiments

# Convex Optimal Designs for Group Testing Experiments

## Documentation for package ‘gtDesign’ version 0.1.0

- DESCRIPTION file
- Package README

## Help Pages

calc_Aopt | A-optimal approximate design for group testing experiments
calc_copt | c-optimal approximate design for group testing experiments
calc_directional_derivatives | Directional derivatives on a finite candidate set
calc_Dopt | D-optimal approximate design for group testing experiments
calc_Eopt | E-optimal approximate design for group testing experiments
calc_eta_weights_maximin | Eta weights for the maximin equivalence theorem
calc_multi_directional_derivative | Weighted multi-objective directional derivative
check_equivalence | Check the equivalence theorem on a finite candidate set
check_equivalence_maximin | Check the equivalence theorem for a maximin design
compute_design_SO | Single-objective optimal approximate design (group testing)
compute_maximin_design | Maximin multi-criterion approximate design (group testing)
exact_design_efficiency_maximin | Efficiencies of an exact design relative to single-objective optima (maximin)
gt_huang2020_cost | Standardized cost for pool size (Huang et al. 2020)
gt_huang2020_f | Gradient vector \mathbf{f}(x) for the Huang et al. (2020) model
gt_huang2020_lambda | Weight lambda(x) in the information matrix (Huang et al. 2020)
gt_huang2020_pi | Positive test probability (Huang et al. 2020 / arXiv:2508.08445 Sec. 2)
gt_huang2020_regressor | Effective regressor sqrt{lambda(x)}\,\mathbf{f}(x) for convex design code
maximin_design_workflow | Maximin design with reference losses, equivalence, and eta (workflow)
plot_equivalence | Plot equivalence theorem directional derivative
plot_equivalence_maximin | Plot equivalence diagnostics for a maximin design
rounding_budget_combinations | Enumerate budget-feasible integer allocations (cost-aware rounding)
rounding_run_size_combinations | Enumerate nonnegative integer allocations (run-size rounding)
round_gt_design_budget | Exact group-testing design under a fixed budget (Rounding Algorithm II)
round_gt_design_budget_maximin | Exact maximin design under fixed budget (Algorithm II + search)
round_gt_design_n_maximin | Exact maximin design under fixed run size (Algorithm I + search)
round_gt_design_subject_budget | Exact design under subject-count constraint via budget rounding