Performance of the Control Chart Trend Rule under Linear Shift

William H. Woodall

91 citations0/0 files storedJournal of Quality Technology

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

Approximate average run lengths of Shewhart charts using various trend rules are presented. It is shown that the trend rule is not effective in detecting a linear shift in the mean of the monitored process.

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1932Economic Control of Quality of Manufactured Product.1984The Shewhart Control Chart—Tests for Special Causes 1987Exact Results for Shewhart Control Charts With Supplementary Runs Rules 1985Interpreting Shewhart X Control Charts

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2014Run Charts Revisited: A Simulation Study of Run Chart Rules for Detection of Non-Random Variation in Health Care Processes 1999On-line control chart pattern detection and discrimination—a neural network approach 1999A neural network approach to characterize pattern parameters in process control charts 2016Bridging the gap between theory and practice in basic statistical process monitoring 1998Robustness of Forecast-Based Monitoring Schemes 1991False Signal Rates for the Shewhart Control Chart with Supplementary Runs Tests 2011Adaptive EWMA procedures for monitoring processes subject to linear drifts 2014Identification and quantification of concurrent control chart patterns using extreme-point symmetric mode decomposition and extreme learning machines

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