Package index • simplexgof

Fitting and GoF Test

Fit a simplex regression model and run the bootstrap test.

simplex_fit(): Fit a Simplex Regression Model
simplex_gof(): Bootstrap-Calibrated Goodness-of-Fit Test for Simplex Regression
simplex_diag(): Compute Local-Influence GoF Diagnostic Quantities
simplex_Un_asymptotic(): Asymptotic \(U_n\) Statistic (Finite-Difference Calibration)

Visualisation

Reproduce figures from the paper.

plot_influence(): Influence Index Plot
plot_envelope(): Half-Normal Probability Plot with Simulated Envelope
plot_gof_boot(): Plot Bootstrap Distribution of the \(U_n\) Statistic
plot(<simplexfit>): Diagnostic Plots for a Fitted Simplex Regression Model
plot(<simplexgof>): Plots for a Bootstrap Goodness-of-Fit Test Result

Paper Reproduction

One-call functions that reproduce all paper results.

paper_ammonia(): Reproduce Ammonia Application (Paper Section 7.1)
paper_pbsc(): Reproduce PBSC Application (Paper Section 7.2)
paper_fig1(): Reproduce Figure 1: Null Distribution of \(U_n\)

Simulation

Monte Carlo size and power study (Table 2 of the paper).

sim_table1(): Monte Carlo Size/Power Simulation for the Bootstrap U_n Test
rsimplex(): Generate Random Observations from the Simplex Distribution

Datasets

ammonia: Ammonia Oxidation Data (Brownlee, 1965)
pbsc: Peripheral Blood Stem Cell (PBSC) Transplant Data

Package

simplexgof simplexgof-package: simplexgof: Bootstrap GoF Test for Simplex Regression