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Design schemes for the X̄ control chart
Authors:Marit Schoonhoven  Muhammad Riaz  Ronald J. M. M. Does
Affiliation:1. Institute for Business and Industrial Statistics of the University of Amsterdam (IBIS UvA), Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands;2. Department of Statistics, Quaid‐i‐Azam University, 45320 Islamabad 44000, Pakistan;3. IBIS UvA, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
Abstract:This paper studies several issues regarding the design of the X? control chart under normality. Different estimators of the standard deviation are considered and the effect of the estimator on the performance of the control chart is investigated. Furthermore, the choice of the factor used to get accurate control limits for moderate sample sizes is addressed. The paper gives an overview on the performance of the charts by studying different characteristics of the run length distribution, both in the in‐control and in the out‐of‐control situation. Copyright © 2008 John Wiley & Sons, Ltd.
Keywords:average run length  percentiles  relative efficiency  run length distribution  standard deviation
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