Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart

Charles W. Champ; William H. Woodall

Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart

Charles W. Champ, William H. Woodall

Mathematical Sciences

Virginia Tech

Research output: Contribution to journal › Article › peer-review

Abstract

Supplementary runs rules have often been suggested for use with Shewhart control charts. For a given set of runs rules supplementing a control chart, a method is given for calculating the probability any subset of these rules will cause the out-of-control signal. A Markov chain approach is used to represent the chart. Some closed form expressions are given.

Original language	American English
Journal	Communication in Statistics: Simulation and Computation
Volume	26
State	Published - Jan 1 1997

Keywords

Runs Rules
Shewhart Control Chart
Signal Probabilities

DC Disciplines

Education
Mathematics

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https://www.researchgate.net/publication/268021554_Signal_probabilities_of_runs_rules_supplementing_a_Shewhart_control_chart

Cite this

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title = "Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart",

abstract = " Supplementary runs rules have often been suggested for use with Shewhart control charts. For a given set of runs rules supplementing a control chart, a method is given for calculating the probability any subset of these rules will cause the out-of-control signal. A Markov chain approach is used to represent the chart. Some closed form expressions are given.",

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author = "Champ, {Charles W.} and Woodall, {William H.}",

year = "1997",

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language = "American English",

volume = "26",

journal = "Communication in Statistics: Simulation and Computation",

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T1 - Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart

AU - Champ, Charles W.

AU - Woodall, William H.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Supplementary runs rules have often been suggested for use with Shewhart control charts. For a given set of runs rules supplementing a control chart, a method is given for calculating the probability any subset of these rules will cause the out-of-control signal. A Markov chain approach is used to represent the chart. Some closed form expressions are given.

AB - Supplementary runs rules have often been suggested for use with Shewhart control charts. For a given set of runs rules supplementing a control chart, a method is given for calculating the probability any subset of these rules will cause the out-of-control signal. A Markov chain approach is used to represent the chart. Some closed form expressions are given.

KW - Runs Rules

KW - Shewhart Control Chart

KW - Signal Probabilities

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/505

UR - https://www.researchgate.net/publication/268021554_Signal_probabilities_of_runs_rules_supplementing_a_Shewhart_control_chart

M3 - Article

VL - 26

JO - Communication in Statistics: Simulation and Computation

JF - Communication in Statistics: Simulation and Computation

ER -

Signal Probabilities of Runs Rules Supplementing a Shewhart Control Chart

Abstract

Keywords

DC Disciplines

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