Evaluating and Improving the Synthetic Control Chart

Abstract

Wu and Spedding (2000a) proposed the synthetic control chart, which is designed to detect shifts in the process mean. Our paper shows that the synthetic control chart can be represented as a runs rule chart with a head start feature. We present a Markov chain model of the synthetic control chart and use it to evaluate the zero-state and steady-state average run length (ARL) performance. We also alter the synthetic chart to achieve better ARL performance. We show, however, that synthetic control charts do not perform as well as cumulative sum and exponentially weighted moving average charts.

• Average Run Length
• Cumulative Sum Control Charts
• Exponentially Weighted Moving Average Control Charts
• Runs Rules
• Statistical Process Control

Additional information

Notes on contributors

Robert B. Davis

Dr. Davis is an Associate Professor in the Department of Mathematics and Statistics. His e-mail address is [email protected].

William H. Woodall

Dr. Woodall is a Professor in the Department of Statistics. He is a Fellow of ASQ. His e-mail address is [email protected].