Nonparametric Control Charts: An Overview and Some Results

TLDR

The article connects nonparametric control charts to active research areas such as sequential analysis relevant to process control. The authors review the literature on nonparametric or distribution‑free control charts for univariate data and aim to promote wider practitioner acceptance and stimulate future research and development. The study surveys existing nonparametric control chart methods for univariate variables. The review highlights advantages of distribution‑free charts, notes disadvantages of traditional distribution‑based charts, and offers constructive criticism to identify opportunities for further research.

Abstract

We present an overview of the literature on nonparametric or distribution-free control charts for univariate variables data. We highlight various advantages of these charts while pointing out some of the disadvantages of the more traditional, distribution-based control charts. Specific observations are made in the course of review of articles and constructive criticism is offered so that opportunities for further research can be identified. Connections to some areas of active research are made, such as sequential analysis, that are relevant to process control. We hope that this article leads to a wider acceptance of distribution-free control charts among practitioners and serves as an impetus to future research and development in this area.