Monitoring a Fraction with Easy and Reliable Settings of the False Alarm Rate

作者：Duran Rodrigo I^*; Albin Susan L

来源：Quality and Reliability Engineering International, 2009, 25(8): 1029-1043.

DOI：10.1002/qre.1019

• statistical process control (SPC)
• cumulative sum (CUSUM) control chart
• attribute control chart
• false alarm rate
• control chart design

Monitoring a fraction arises in many manufacturing applications and also in service applications. The traditional p-chart is easy to use and design but is difficult to achieve the desired false alarm rate. We propose a two-sided CUSUM Arcsine method that achieves both large and small desired false alarm rates for all ill-control probability anywhere between 0 and 1. The parameters of the new method art, calculated easily, without tables, simulation, or Markov chain analysis used by many of the existing methods. The proposed method detects increases and decreases and works for constant and Poisson distributed sample sizes. The CUSUM Arcsine also has a superior sensitivity compared with other easily designed existing methods for monitoring Binomial distributed data. This paper includes all extensive literature review and a taxonomy, of the existing monitoring methods for a fraction.

• 出版日期2009-12