A CUSUM Chart for Monitoring a Proportion When Inspecting Continuously
TL;DR: A control chart is considered for the problem of monitoring a process when all items from the process are inspected and classified into one of two categories.
Abstract: A control chart is considered for the problem of monitoring a process when all items from the process are inspected and classified into one of two categories. The objective is to detect changes in the proportion, p, of items in the first category. The c..
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TL;DR: The data quality problem in the context of supply chain management (SCM) is introduced and methods for monitoring and controlling data quality are proposed and highlighted.
652 citations
TL;DR: There are many applications of control charts in health-care monitoring and in public-health surveillance as mentioned in this paper, and these applications to industrial practitioners and discuss some of the ideas that arise that may be applicable in industrial monitoring.
Abstract: There are many applications of control charts in health-care monitoring and in public-health surveillance. We introduce these applications to industrial practitioners and discuss some of the ideas that arise that may be applicable in industrial monitoring. The advantages and disadvantages of the charting methods proposed in the health-care and public-health areas are considered. Some additional contributions in the industrial statistical process control literature relevant to this area are given. There are many application and research opportunities available in the use of control charts for health-related monitoring.
497 citations
Journal Article•
TL;DR: There are many applications of control charts in health-care monitoring and in public-health surveillance as mentioned in this paper, and these applications to industrial practitioners and discuss some of the ideas that arise that may be applicable in industrial monitoring.
Abstract: There are many applications of control charts in health-care monitoring and in public-health surveillance. We introduce these applications to industrial practitioners and discuss some of the ideas that arise that may be applicable in industrial monitoring. The advantages and disadvantages of the charting methods proposed in the health-care and public-health areas are considered. Some additional contributions in the industrial statistical process control literature relevant to this area are given. There are many application and research opportunities available in the use of control charts for health-related monitoring.
481 citations
TL;DR: A new method for detecting concept drift which uses an exponentially weighted moving average (EWMA) chart to monitor the misclassification rate of an streaming classifier and allows the rate of false positive detections to be controlled and kept constant over time.
325 citations
Cites background from "A CUSUM Chart for Monitoring a Prop..."
...Determining which value of L corresponds to a desired ARL0 is non-trivial, and will be discussed later in Section 3.1....
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TL;DR: The State of Statistical Process Control as We Proceed into the 21st Century Journal of the American Statistical Association: Vol 95, No 451, pp 992-998 as discussed by the authors, 2000
Abstract: (2000) The State of Statistical Process Control as We Proceed into the 21st Century Journal of the American Statistical Association: Vol 95, No 451, pp 992-998
241 citations
Cites methods from "A CUSUM Chart for Monitoring a Prop..."
...A good broad exposition on CUSUM charts from a more applied perspective was given by Hawkins and 01- well (1998), and discussion of some recent developments on CUSUM charts have been provided by Reynolds and Stoumbos (1999, 2000b)....
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4,805 citations
TL;DR: In this paper, the operation of a cumulative sum control scheme is regarded as forming a Markov chain and the transition probability matrix for this chain is obtained and then the properties of this matrix used to determine not only the average run lengths for the scheme, but also moments and percentage points of the run-length distribution and exact probabilities of run length.
Abstract: The classical method of studying a cumulative sum control scheme of the decision interval type has been to regard the scheme as a sequence of sequential tests, to determine the average sample number for these component tests and hence to study the average run length for the scheme. A different approach in which the operation of the scheme is regarded as forming a Markov chain is set out. The transition probability matrix for this chain is obtained and then the properties of this matrix used to determine not only the average run lengths for the scheme, but also moments and percentage points of the run-length distribution and exact probabilities of run length. The method may be used with any discrete distribution and also, as ani accurate approximation, with any continuous distribution for the random variable which is to be controlled. Examples are given for the cases of a Poisson random variable and a normal random variable.
851 citations
TL;DR: This paper represents an attempt to offer a comprehensive bibliography of references on control charting using attribute data with a brief overview and perspective of some of the work in this ...
Abstract: This paper represents an attempt to offer a comprehensive bibliography of references on control charting using attribute data. A brief overview and perspective is given of some of the work in this ...
270 citations
Journal Article•
TL;DR: When 100% inspection in the order of production is in progress, an alternative approach to the p-chart or the Poisson-based CUSUM chart is to monitor the lengths of runs of conforming items between successive nonconforming items.
248 citations
TL;DR: When 100% inspection in the order of production is in progress, an alternative approach to the p-chart or the Poisson-based CUSUM chart is to monitor the lengths of runs of conforming items between successive nonconforming items.
Abstract: When 100% inspection in the order of production is in progress, an alternative approach to the p-chart or the Poisson-based CUSUM chart is to monitor the lengths of runs of conforming items between successive nonconforming items. Two Shewhart-type chart..
244 citations