Journal ArticleDOI
Effects of correlation on fraction non-conforming statistical process control procedures
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In this paper, the authors examined the control procedures based on the conforming unit run lengths applied to near-zero-defect processes in the presence of serial correlation and derived control limits.Abstract:
High-yield production processes that involve a low fraction non-conforming are becoming more common, and the limitations of the standard control charting procedures for such processes are well known. This paper examines the control procedures based on the conforming unit run lengths applied to near-zero-defect processes in the presence of serial correlation. Using a correlation binomial model, a few control schemes are investigated and control limits are derived. The results reduce to the traditional case when the measurements are independent. However, it is shown that the false alarm rate cannot be reduced to below the amount of serial correlation present in the process.read more
Citations
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A markov-binomial distribution
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Journal ArticleDOI
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Journal ArticleDOI
Control charts for monitoring the autocorrelated process parameters: a literature review
D.R. Prajapati,Sukhraj Singh +1 more
TL;DR: This paper provides a survey and brief summary of the work on the development of the control charts for variables to monitor the mean and dispersion for autocorrelated data.
References
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Journal ArticleDOI
Run-Length Distributions of Special-Cause Control Charts for Correlated Processes
TL;DR: In this paper, run-length distributions of the special cause control chart were derived for correlated observations, given that the assignable cause to be detected is a shift in the process mean.
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The use of a correlated binomial model for the analysis of certain toxicological experiments.
TL;DR: A type of correlated binomial model is proposed for use in certain toxicological experiments with laboratory animals where the outcome of interest is the occurrence of dead or malformed fetuses in a litter.
Journal Article
Detecting a shift in fraction nonconforming using runlength control charts with 100% inspection
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.
Journal ArticleDOI
Detecting a Shift in Fraction Nonconforming Using Run-Length Control Charts with 100% Inspection
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.
Journal ArticleDOI
Two Generalizations of the Binomial Distribution
TL;DR: In this article, the sum of k independent and identically distributed (0, 1) variables has a binomial distribution and two distinct generalizations are obtained, depending on whether the "multiplicative" or "additive" definition of interaction for discrete variables is used.