funcharts: Control charts for multivariate functional data in R

TL;DR

The paper introduces the funcharts R package for multivariate functional data control charts, enabling practical, real-time process monitoring of profiles with covariate adjustments, demonstrated through a ship CO2 emissions case study.

Contribution

It provides the first comprehensive R package for multivariate functional control charts, including real-time and covariate-adjusted monitoring methods.

Findings

Implemented in the funcharts R package.

Demonstrated on a real ship navigation CO2 emissions dataset.

Includes simulation and real-case study applications.

Abstract

Modern statistical process monitoring (SPM) applications focus on profile monitoring, i.e., the monitoring of process quality characteristics that can be modeled as profiles, also known as functional data. Despite the large interest in the profile monitoring literature, there is still a lack of software to facilitate its practical application. This article introduces the funcharts R package that implements recent developments on the SPM of multivariate functional quality characteristics, possibly adjusted by the influence of additional variables, referred to as covariates. The package also implements the real-time version of all control charting procedures to monitor profiles partially observed up to an intermediate domain point. The package is illustrated both through its built-in data generator and a real-case study on the SPM of Ro-Pax ship CO2 emissions during navigation, which is based on the ShipNavigation data provided in the Supplementary Material.